diff --git a/web/doc/user.4.6/INDEX b/web/doc/user.4.6/INDEX new file mode 100644 index 0000000000..ca95e0406b --- /dev/null +++ b/web/doc/user.4.6/INDEX @@ -0,0 +1 @@ +nwchemuser diff --git a/web/doc/user.4.6/contents.html b/web/doc/user.4.6/contents.html new file mode 100644 index 0000000000..1473c84768 --- /dev/null +++ b/web/doc/user.4.6/contents.html @@ -0,0 +1,1016 @@ + + +<B>Contents of NWChem User Manual </B> + + +
+Contents of
    NWChem User Manual

+ + + + + + diff --git a/web/doc/user.4.6/contents.png b/web/doc/user.4.6/contents.png new file mode 100644 index 0000000000..0c752c66c8 Binary files /dev/null and b/web/doc/user.4.6/contents.png differ diff --git a/web/doc/user.4.6/footnode.html b/web/doc/user.4.6/footnode.html new file mode 100644 index 0000000000..e4ddf7601a --- /dev/null +++ b/web/doc/user.4.6/footnode.html @@ -0,0 +1,1898 @@ + + + + + +Footnotes + + + + + + + + + + + + + + + + + +
+
... machine5.1
+
As returned by util_hostname() which + maps to the output of the command hostname on Unix + workstations. + +
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... +separate5.2
+
This is because on true shared-memory machines there + is no choice but to allocate GAs from within a shared-memory + segment, which is managed differently by the operating system. + +
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... sets5.3
+
Complex objects are stored using a structured + naming convention that is not matched by a simple wild card. + +
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... notation5.4
+
The notation +lo:hi:inc denotes the integers lo, lo+inc, +lo+2*inc, ..., hi + +
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... simulation5.5
+
If theory is ``md'' this is not a QM/MM +simulation and will result in an appropriate error + +
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... charge5.6
+
The charge directive, in conjunction with + the charges of atomic nuclei (which can be changed via the geometry + input, cf. Section 6.3), determines the total number of + electrons in the chemical system. Therefore, a charge n + specification removes "n" electrons from the chemical system. + Similarly, charge -n adds "n" electrons. + +
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... processed6.1
+
For + periodic systems, there are additional keywords within this + directive (not yet documented), so having a keyword for the group + name is useful. + +
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... +contracted7.1
+
Generally contracted meaning that the same + primitive, Gaussian functions are contracted into multiple + contracted functions using different contraction coefficients. + Reuse of the radial functions increases the efficiency of integral + generation. + +
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... +functions7.2
+
An $sp$ shell is two-component general contraction. + However, the first component specifies an $s$ shell and the second a + $p$ shell. Again, reuse of the radial functions increases the efficiency + of integral generation. + +
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... Christiansen8.1
+
l. F. Pacios and P. A. Christiansen, +J. Chem. Phys. 82, 2664 (1985) + +
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... Kroll9.1
+
M. Douglas and N. M. Kroll, Ann. Phys. (N.Y.) 82, +89 (1974) + +
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... Hess9.2
+
B.A. Hess, Phys. Rev. A 32, +756 (1985); 33, 3742 (1986) + +
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... Dyall9.3
+
K. G. Dyall, +J. Chem. Phys. 100, 2118 (1994) + +
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... level9.4
+
K. G. Dyall, +J. Chem. Phys. 106, 9618 (1997); K. G. Dyall and T. Enevoldsen, +J. Chem. Phys. 111, 10000 (1999). + +
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... +operators9.5
+
B.A. Hess, Phys. Rev. A 32, 756 (1985) + +
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... operators9.6
+
B.A. Hess, Phys. Rev. A 33, 3742 (1986) + +
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...osch9.7
+
O.D. Häberlen, N. Rösch, +Chem. Phys. Lett. 199, 491 (1992) + +
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... Hirao9.8
+
T. Nakajima +and K. Hirao, Chem. Phys. Lett. 329, 5111 (2000); T. Nakajima and K. Hirao, +J. Chem. Phys. 113, 7786 (2000) + +
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...$(6 7 8 9)$10.1
+
The cyclic permutation $(6 7 8 9)$ maps the + ordered list 6 7 8 9 into 9 6 7 8. + +
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... SCF10.2
+
This can be seen by considering + a one-electron approximation to the closed-shell RHF Hessian in + canonical orbitals, +$A_{ia,jb} = 4 \delta_{ij} \delta_{ab}
+(\epsilon_a - \epsilon_i)$. Similarly, the level shift + should be twice as large for UHF. + +
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... scheme11.1
+
B.I. Dunlap, +J.W.D. Connolly and J.R. Sabin, J. Chem. Phys. 71, 4993 (1979) + +
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... +Alder11.2
+
D.M. Ceperley and B.J. Alder, Phys. Rev. Lett. 45, 566 (1980). + +
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... subspace11.3
+
P. Pulay, Chem. Phys. + Lett. 73, 393 (1980) and P. Pulay, J. Comp. Chem. 3, + 566 (1982) + +
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+
...Level-Shifting11.4
+
M.F. Guest and +V.R. Saunders, Mol. Phys. 28, 819 (1974) + +
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... in11.5
+
A. D. Rabuck and G. E. Scuseria, J. Chem. Phys 110,695 +(1999) + +
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... components11.6
+
The subroutine +for the Lebedev grid was derived from a routine supplied by M. Causà +of the University of Torino and from the grid points supplied by +D.N. Laikov from Moscow State University. + +
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... below.11.7
+
+V.I. Lebedev and D.N. Laikov, Doklady Mathematics 366, 741 +(1999). + + +
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... (CIS),14.1
+
J. B. Foreman, M. Head-Gordon, J. A. Pople, and M. J. Frisch, J. Phys. Chem. 96, 135 (1992). + +
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... (TDDFT),14.2
+
C. Jamorski, M. E. Casida, and D. R. Salahub, J. Chem. Phys. 104, 5134 (1996); +R. Bauernschmitt and R. Ahlrichs, Chem. Phys. Lett. 256, 454 (1996); +R. Bauernschmitt, M. Häser, O. Treutler, and R. Ahlrichs, Chem. Phys. Lett. 264, 573 (1997). + +
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... TDDFT.14.3
+
S. Hirata and M. Head-Gordon, Chem. Phys. Lett. 314, 291 (1999). + +
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... problem).14.4
+
E. R. Davidson, J. Comput. Phys. 17, 87 (1975); J. Olsen, H. J. Aa. Jensen, and P. Jørgensen, J. Comput. Phys. 74, 265 (1988). + +
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... Baerends,14.5
+
R. van Leeuwen and E. J. Baerends, Phys. Rev. A 49, 2421 (1994). + +
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... Salahub,14.6
+
M. E. Casida, C. Jamorski, K. C. Casida, and D. R. Salahub, J. Chem. Phys. 108, 4439 (1998). + +
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... Dixon.14.7
+
S. Hirata, C.-G. Zhan, E. Aprà, T. L. Windus, and D. A. Dixon, J. Phys. Chem. A 107, 10154 (2003). + +
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... reference.14.8
+
D. Maurice and M. Head-Gordon, J. Phys. Chem. 100, 6131 (1996). + +
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... results.14.9
+
M. E. Casida, C. Jamorski, K. C. Casida, and D. R. Salahub, J. Chem. Phys. 108, 4439 (1998). + +
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... states.14.10
+
S. Hirata and M. Head-Gordon, Chem. Phys. Lett. 302, 375 (1999). + +
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... Handy14.11
+
D. J. Tozer and N. C. Handy, J. Chem. Phys. 109, 10180 (1998). + +
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... calculation.14.12
+
S. Hirata, C.-G. Zhan, E. Aprà, T. L. Windus, and D. A. Dixon, J. Phys. Chem. A 107, 10154 (2003). + +
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... Dixon.14.13
+
C.-G. Zhan, J. A. Nichols, and D. A. Dixon, J. Phys. Chem. A 107, 4184 (2003). + +
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... desire.21.1
+
If you have done a geometry +optimization and hessian generation in the same input deck using a +small basis set, you must make sure you delete the name.stpr41 +file since stepper will by default use that hessian and not the one in +the name.hess file + +
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... intensities25.1
+
Intensities are only computed if the dipole +derivatives are available; these are computed by default for most +methods that use the finite difference driver routines + +
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... element.25.2
+
c.f., "The +Elements" by John Emsley, Oxford University Press, (C) 1989, ISBN +0-19-855237-8. + +
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... +intensities25.3
+
The geometry specification at the point where the +hessian is computed must be the default ``geometry'' on the current +run-time-data-base for the projection to work properly. + +
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... results33.1
+
c.f., Singh and Kollman, J. Comp. Chem. + 7, 718 (1986); M. J. Field, P. A. Bash and M. Karplus, J. + Comp. Chem. 11, 700, (1990); J. Gao, ``Methods and + Applications of Combined Quantum Mechanical and Molecular Mechanical + Potentials.'' In Reviews in Computational Chemistry; + K. B. Lipkowitz, D. B. Boyd, Eds.; VCH Publishers: New York; + Vol. 7, pp 119-185 (1995); and M. A. Thompson and G. K. Schenter, J. + Phys. Chem 99 6374 (1995) + +
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... gradients33.2
+
The QM/MM method will work with numerical + gradients available in NWChem, but it is expected that the + performance will not allow any substantive simulations + +
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... geometry33.3
+
Any geometry information in the + traditional form will be ignored + +
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... independentD.1
+
Machine +dependence within the input arises from file names, machine +specific resources, and differing services provided by the operating system. + +
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... TCGMSGD.2
+
Where required +TCGMSG is automatically built with NWChem. + +
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+\underline{R}_{link} = (1-g)\underline{R}_{1} + g*\underline{R}_{2}
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+\hline\hlin...
+...II to specify the system} \\\\
+\hline\hline
+\end{tabular*}\end{center}\end{table}|; + +$key = q/ijkr_0;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$i j k r_0$|; + +$key = q/tau_{ionic};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\tau_{ionic}$|; + +$key = q/E_{CI+PT}=-76.277912;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$E_{CI+PT} = -76.277912$|; + +$key = q/+1;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$+1$|; + +$key = q/2slash(2l+1);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$2/(2l+1)$|; + +$key = q/2p;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$2p$|; + +$key = q/2s;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$2s$|; + +$key = q/N^3;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$N^3$|; + +$key = q/atom1;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$atom1$|; + +$key = q/displaystyleE_{R0}=frac{1}{2}fk_BT;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle E_{R0} = \frac{1}{2} f k_B T$|; + +$key = q/displaystyle-frac{1}{2}nabla^2psi_{i,sigma}(vec{r});MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle -\frac{1}{2} \nabla^2
+\psi_{i,\sigma}(\vec{r})$|; + +$key = q/{displaymath}E=E_{total}+frac{1}{2}k(r_{ij}-r_0)^2{displaymath};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{displaymath}
+E=E_{total}+\frac{1}{2}k(r_{ij}-r_0)^2
+\end{displaymath}|; + +$key = q/itag;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$itag$|; + +$key = q/CH_3CF_3;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$CH_3CF_3$|; + +$key = q/C_1;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_1$|; + +$key = q/C_2'';MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_2''$|; + +$key = q/displaystylepsi_{i,sigma}^{t+Deltat};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle \psi_{i,\sigma}^{t+ \Delta t}$|; + +$key = q/B^{-};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$B^{ -}$|; + +$key = q/1x10^{-6};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$1x10^{-6}$|; + +$key = q/alpha=widehat{Cij};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\alpha = \widehat{Cij}$|; + +$key = q/CH_2CCH_2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$CH_2CCH_2$|; + +$key = q/displaystyleELECTRON_THERMOSTAT(x_e);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle ELECTRON\_THERMOSTAT(x_e)$|; + +$key = q/jgroup;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$jgroup$|; + +$key = q/10^{-9};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$10^{-9}$|; + +$key = q/D_{inftyh};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$D_{\infty h}$|; + +$key = q/1x10^{-5};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$1x10^{-5}$|; + +$key = q/C_2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_2$|; + +$key = q/C_2';MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_2'$|; + +$key = q/tau_e;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\tau_e$|; + +$key = q/C_{3h};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_{3h}$|; + +$key = q/x_e;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$x_e$|; + +$key = q/+2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$+2$|; + +$key = q/sigma_d;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\sigma_d$|; + +$key = q/displaystyle-frac{partialE}{partialvec{R}_I};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle -\frac{\partial E}{\partial \vec{R}_I}$|; + +$key = q/{table}center{tabular*{{150mm}{p{15mm}p{12mm}l}hlinehlineDeck&Format&DescriptionforceconstantinkJnm{^2{mol{^{-1}{,set3hlinetabular*{{{center{{table};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...in kJ nm$^2$ mol$^{-1}$, set 3 \\\\
+\hline
+\end{tabular*}\end{center}\end{table}|; + +$key = q/Q_R;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$Q_R$|; + +$key = q/E_{CI}=-76.110894;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$E_{CI} = -76.110894$|; + +$key = q/sigma_v;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\sigma_v$|; + +$key = q/R-CH_3=R-CH_2+H;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$R-CH_3 = R-CH_2 + H$|; + +$key = q/E_{CI}(T=0.00001)=-76.259818;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$E_{CI}(T=0.00001) = -76.259818$|; + +$key = q/R-CH_2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$R-CH_2$|; + +$key = q/10^{-12};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$10^{-12}$|; + +$key = q/^5;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$^5$|; + +$key = q/n_{lk};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$n_{lk}$|; + +$key = q/k_B;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$k_B$|; + +$key = q/filename;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$filename$|; + +$key = q/displaystyleT_{ionic}(t)=T_{ionic}^0exp^{-frac{t}{tau_{ionic}}};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle T_{ionic}(t) = T_{ionic}^0 \exp^{-\frac{t}{\tau_{ionic}}}$|; + +$key = q/displaystylehat{H}psi_{i,sigma};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle \hat{H} \psi_{i,\sigma}$|; + +$key = q/T_3;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$T_3$|; + +$key = q/{table}center{tabular*{{150mm}{p{15mm}p{12mm}l}hlinehlineDeck&Format&Descriptionbilityslash{4piepsilon_o{innm{^3{,set3hlinetabular*{{{center{{table};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...\pi\epsilon_o$ in nm$^3$, set 3\\\\
+\hline
+\end{tabular*}\end{center}\end{table}|; + +$key = q/displaystyleT_e(t)=T_e^0exp^{-frac{t}{tau_e}};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle T_e(t) = T_e^0 \exp^{-\frac{t}{\tau_e}}$|; + +$key = q/displaystyleM_Iddot{vec{R}}_I;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle M_I \ddot{\vec{R}}_I$|; + +$key = q/y;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$y$|; + +$key = q/0.001e;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$0.001 e$|; + +$key = q/{displaymath}f_i=f^{f}_i+fguide*g_{i-1}{displaymath};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{displaymath}
+f_i=f^{f}_i+fguide * g_{i-1}
+\end{displaymath}|; + +$key = q/C_{s};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_{s}$|; + +$key = q/H_3C-CHO;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$H_3C-CHO$|; + +$key = q/alpha;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\alpha$|; + +$key = q/frac{l}{2l+1}DeltaU_{l};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\frac{l}{2l+1} \Delta U_{l}$|; + +$key = q/displaystyleintdvec{r^{prime}}W_{ext}(vec{r},vec{r^{prime}})psi_{i,sigma}(vec{r^{prime}});MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle \int d\vec{r^{\prime}}
+W_{ext}(\vec{r},\vec{r^{\prime}})
+\psi_{i,\sigma}(\vec{r^{\prime}})$|; + +$key = q/({}times{vir});MSF=1.6;AAT/; +$cached_env_img{$key} = q|$({<batch jsize>}\times {vir})$|; + +$key = q/T_4;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$T_4$|; + +$key = q/displaystyleE_{e0}=4k_BTfrac{mu}{M}sum_i;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle E_{e0} = 4 k_B T \frac{\mu}{M} \sum_i <\psi_i\vert-\frac{1}{2} \nabla^2 \vert\psi_i>$|; + +$key = q/{displaymath}U^{{rm{AREP}_l(r)=frac{1}{2l+1}left[lU^{{rm{REP}_{l-1slash2}(r)+(l+1)U^{{rm{REP}_{l+1slash2}(r)right].{displaymath};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{displaymath}
+U^{\rm AREP}_l(r) = \frac{1}{2l+1} \left[ lU^{\rm REP}_{l-1/2}(r)
++ (l+1) U^{\rm REP}_{l+1/2}(r) \right].
+\end{displaymath}|; + +$key = q/C_{3v};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_{3v}$|; + +$key = q/D_{5h};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$D_{5h}$|; + +$key = q/Rh(CO)_2^+;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$Rh(CO)_2^+$|; + +$key = q/displaystylemu_{xc}^{sigma}(vec{r})psi_{i,sigma}(vec{r});MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle \mu_{xc}^{\sigma}(\vec{r})
+\psi_{i,\sigma}(\vec{r})$|; + +$key = q/Gamma;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\Gamma$|; + +$key = q/value1;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$value1$|; + +$key = q/BO_3H_3;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$BO_3H_3$|; + +$key = q/frac{deltaE}{deltapsi_{i,sigma}^{*}};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\frac{\delta E}{\delta \psi_{i,\sigma}^{*}}$|; + +$key = q/N^4;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$N^4$|; + +$key = q/10^{-10};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$10^{-10}$|; + +$key = q/alpha=beta=gamma=90^o;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\alpha=\beta=\gamma=90^o$|; + +$key = q/Q_e;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$Q_e$|; + +$key = q/C_{2{{it{v}};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_{2{\it v}}$|; + +$key = q/C_5;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_5$|; + +$key = q/C_3;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_3$|; + +$key = q/z;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$z$|; + +$key = q/C_{2h};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_{2h}$|; + +$key = q/{displaymath}W=left{array{{c}Nmbox{,8-bitlabelsand32-bitvalues}frac{3}{2}Nmbox{,values}2Nmbox{,16-bitlabelsand64-bitvalues}array{right.{displaymath};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{displaymath}
+W = \left\{ \\\\
+\begin{array}{c}
+N \mbox{ , 8-bit labels ...
+...mbox{ , 16-bit labels and 64-bit values}
+\end{array} \right.
+\end{displaymath}|; + +$key = q/T_{sync};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$T_{sync}$|; + +$key = q/E_{CI}(T=0.001)=-76.110894;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$E_{CI}(T=0.001) = -76.110894$|; + +$key = q/{displaymath}DeltaU^{{rm{REP}_{l}=U^{{rm{REP}_{l+1slash2}(r)-U^{{rm{REP}_{l-1slash2}(r).{displaymath};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{displaymath}
+\Delta U^{\rm REP}_{l} = U^{\rm REP}_{l+1/2}(r)
+- U^{\rm REP}_{l-1/2}(r).
+\end{displaymath}|; + +$key = q/<=;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$<=$|; + +$key = q/LiH^{2+};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$LiH^{2+}$|; + +$key = q/H_2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$H_2$|; + +$key = q/0|; + +$key = q/vec{R}_I;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\vec{R}_I$|; + +$key = q/T;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$T$|; + +$key = q/Lambda;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\Lambda$|; + +$key = q/s;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$s$|; + +$key = q/Delta;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\Delta$|; + +$key = q/DeltaG^{*};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\Delta G^{*}$|; + +$key = q/{table}center{tabular*{{150mm}{p{15mm}p{12mm}l}hlinehlineCard&Format&Descriptiongesegmentrmsdeviationaftersuperimpositionhlinehlinetabular*{{{center{{table};AAT/; +$cached_env_img{$key} = q|\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...ion after superimposition \\\\
+\hline\hline
+\end{tabular*}\end{center}\end{table}|; + +$key = q/Deltat;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\Delta t$|; + +$key = q/displaystylemuddot{psi}_{i,sigma}(vec{r},t);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle \mu \ddot{\psi}_{i,\sigma}(\vec{r},t)$|; + +$key = q/T_{ionic}^0;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$T_{ionic}^0$|; + +$key = q/rho_{semicore};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\rho_{semicore}$|; + +$key = q/B;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$B$|; + +$key = q/P_{electron};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$P_{electron}$|; + +$key = q/H+H_2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$H + H_2$|; + +$key = q/displaystyleL;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle L$|; + +$key = q/E_{CI+PT}=-76.276418;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$E_{CI+PT} = -76.276418$|; + +$key = q/displaystyleP_{ion};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle P_{ion}$|; + +$key = q/rightarrow;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\rightarrow $|; + +$key = q/10^{-4};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$10^{-4}$|; + +$key = q/*;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$*$|; + +$key = q/A;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$A$|; + +$key = q/U^{{rm{REP}_{lj};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$U^{\rm REP}_{lj}$|; + +$key = q/displaystylefrac{1}{2}Q_Rdot{x_R}+E_{R0}x_R;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle \frac{1}{2} Q_R \dot{x_R} + E_{R0}x_R$|; + +$key = q/alpha^2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\alpha^2$|; + +$key = q/idef;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$idef$|; + +$key = q/f^{f};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$f^{f}$|; + +$key = q/itest;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$itest$|; + +$key = q/10^{-6};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$10^{-6}$|; + +$key = q/sum_i;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\sum_i <\psi_i\vert-\frac{1}{2} \nabla^2 \vert\psi_i>$|; + +$key = q/W;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$W$|; + +$key = q/1x10^{-7};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$1x10^{-7}$|; + +$key = q/V_{RP};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$V_{RP}$|; + +$key = q/T_{electron};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$T_{electron}$|; + +$key = q/(LL|SS);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$(LL\vert SS)$|; + +$key = q/forc2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$forc2$|; + +$key = q/P_{ion};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$P_{ion}$|; + +$key = q/mu;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\mu$|; + +$key = q/{table}center{tabular*{{150mm}{p{15mm}p{12mm}l}hlinehlineDeck&Format&DescriptionlforceconstantinkJmol{^{-1}{,set3hlinehlinetabular*{{{center{{table};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...t in kJ mol$^{-1}$, set 3 \\\\
+\hline\hline
+\end{tabular*}\end{center}\end{table}|; + +$key = q/epsilon;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\epsilon$|; + +$key = q/widehat{Cik};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\widehat{Cik}$|; + +$key = q/P;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$P$|; + +$key = q/sigma;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\sigma$|; + +$key = q/IANGQUAD;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$IANGQUAD$|; + +$key = q/M_I;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$M_I$|; + +$key = q/L;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$L$|; + +$key = q/n_p;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$n_p$|; + +$key = q/<;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$<$|; + +$key = q/{displaymath}H^{{rm{SO}={{bf{s}cdotsum_{l=1}^{L-1}frac{2}{2l+1}DeltaU^{{rm{REP}_{l}sum_{mm'}|lmranglelanglelm|hatl|lm'ranglelanglelm'|.{displaymath};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{displaymath}
+H^{\rm SO} = {\bf s} \cdot \sum_{l=1}^{L-1} \frac{2}{2l+1}
+...
+...le \langle lm \vert \hat l\vert lm' \rangle \langle lm' \vert.
+\end{displaymath}|; + +$key = q/0.01;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$0.01$|; + +$key = q/10.0;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$10.0$|; + +$key = q/0.005au;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$0.005 au$|; + +$key = q/{figure}{centering{{psfig{figure=zmat1.eps,angle=270,width=6in}{{{{figure};FSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{figure}\centering\psfig{figure=zmat1.eps,angle=270,width=6in}\end{figure}|; + +$key = q/tau_{electron};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\tau_{electron}$|; + +$key = q/star;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\star$|; + +$key = q/D_{4h};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$D_{4h}$|; + +$key = q/{displaymath}U^{{rm{REP}=U^{{rm{REP}_{LJ}(r)+sum_{l=0}^{L-1}sum_{j=|l-1slash2}^{}(r)-U^{{rm{REP}_{LJ}(r)right]sum_m|ljmranglelangleljm|{displaymath};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{displaymath}
+U^{\rm REP} = U^{\rm REP}_{LJ}(r) + \sum_{l=0}^{L-1}
+\sum_{j...
+...}_{LJ}(r) \right] \sum_m \vert lj m \rangle \langle lj m \vert
+\end{displaymath}|; + +$key = q/{figure}{centering{{psfig{figure=zmat2.eps,angle=270,width=6in}{{{{figure};FSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{figure}\centering\psfig{figure=zmat2.eps,angle=270,width=6in}\end{figure}|; + +$key = q/O_{h};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$O_{h}$|; + +$key = q/tag;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$tag$|; + +$key = q/R;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$R$|; + +$key = q/r^{-2};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$r^{-2}$|; + +$key = q/rho_{core};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\rho_{core}$|; + +$key = q/C_s;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_s$|; + +$key = q/1.8897265;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$1.8897265$|; + +$key = q/({}times{vir});MSF=1.6;AAT/; +$cached_env_img{$key} = q|$({<batch
+isize>}\times {vir})$|; + +$key = q/n_{lk}=0;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$n_{lk} = 0$|; + +$key = q/B_2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$B_2$|; + +$key = q/^{-2};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$^{-2}$|; + +$key = q/E_{CI+PT}=-76.304797;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$E_{CI+PT} = -76.304797$|; + +$key = q/n;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$n$|; + +$key = q/beta;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\beta$|; + +$key = q/(-2||-1||1||2);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$(-2\vert\vert-1\vert\vert 1\vert\vert 2)$|; + +$key = q/Lambda_{ij,sigma};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\Lambda_{ij,\sigma}$|; + +$key = q/displaystylefrac{1}{2}Q_edot{x_e}+E_{e0}x_e;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle \frac{1}{2} Q_e \dot{x_e} + E_{e0}x_e$|; + +$key = q/displaystyle2pisqrt{frac{Q_R}{4E_{R0}}};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle 2\pi \sqrt{\frac{Q_R}{4E_{R0}}}$|; + +$key = q/{table}center{tabular*{{150mm}{p{15mm}p{12mm}l}hlinehlineCard&Format&Descriptionrturbationenergyatcurrent{lambda{hlinehlinetabular*{{{center{{table};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...rgy at current $\lambda$ \\\\
+\hline\hline
+\end{tabular*}\end{center}\end{table}|; + +$key = q/T_d;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$T_d$|; + +$key = q/{displaymath}r^2U_l(r)=sum_{k}A_{lk}r^{n_{lk}}e^{-B_{lk}r^{2}}{displaymath};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{displaymath}
+r^2U_l(r) = \sum_{k} A_{lk} r^{n_{lk}} e^{-B_{lk}r^{2}}
+\end{displaymath}|; + +$key = q/r_{cut}(l);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$r_{cut}(l)$|; + +$key = q/D_{3h};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$D_{3h}$|; + +$key = q/p;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$p$|; + +$key = q/T_e^0;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$T_e^0$|; + +$key = q/(epsilon-1)slashepsilon;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$(\epsilon-1)/\epsilon$|; + +$key = q/textstyle=;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\textstyle =$|; + +$key = q/(epsilon-1)slash(epsilon+1slash2);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$(\epsilon-1)/(\epsilon+1/2)$|; + +$key = q/N_{model};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$N_{model}$|; + +$key = q/Si(OH)_2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$Si(OH)_2$|; + +$key = q/C_{2v};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_{2v}$|; + +$key = q/SF_5Cl;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$SF_5Cl$|; + +$key = q/10^{(-{{tt{accCoul})};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$10^{(-{\tt accCoul})}$|; + +$key = q/displaystyleION_THERMOSTAT(x_R);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle ION\_THERMOSTAT(x_R)$|; + +$key = q/10^{-3};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$10^{-3}$|; + +$key = q/D_{5d};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$D_{5d}$|; + +$key = q/(67)(78)(89);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$(6 7)(7 8)(8 9)$|; + +$key = q/1x10^{-4};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$1x10^{-4}$|; + +$key = q/O(N^4);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$O(N^4)$|; + +$key = q/E_{CI+PT}=-76.273751;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$E_{CI+PT} = -76.273751$|; + +$key = q/N_{inter};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$N_{inter}$|; + +$key = q/>;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$>$|; + +$key = q/s<0;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$s < 0$|; + +$key = q/S_4;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$S_4$|; + +$key = q/rho^{1slash3};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\rho^{1/3}$|; + +$key = q/^2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$^2$|; + +$key = q/CH_4;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$CH_4$|; + +$key = q/CHO;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$CHO$|; + +$key = q/{displaymath}{k_{ET}}=frac{2pi}{hbar}V_{RP}^{2}frac{1}{sqrt{4pilambdak_{B}T}}expleft(frac{-DeltaG^{*}}{k_{B}T}right){displaymath};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{displaymath}
+{k_{ET}}=
+\frac{2\pi}{\hbar}
+V_{RP}^{2}
+\frac{1}{\sqrt{4\pi ...
+...da k_{B}T}}
+\exp \left( \frac{- \Delta G^{*}}{k_{B} T} \right)
+\end{displaymath}|; + +$key = q/He_{};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$He_{}$|; + +$key = q/B_1;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$B_1$|; + +$key = q/C_4;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_4$|; + +$key = q/({occ}{vir}|{fit});MSF=1.6;AAT/; +$cached_env_img{$key} = q|$({occ} {vir} \vert {fit})$|; + +$key = q/d;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$d$|; + +$key = q/function;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$function$|; + +$key = q/^3B_2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$^3B_2$|; + +$key = q/P1;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$P1$|; + +$key = q/displaystyle2pisqrt{frac{Q_e}{4E_{e0}}};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle 2\pi \sqrt{\frac{Q_e}{4E_{e0}}}$|; + +$key = q/pm1;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\pm 1$|; + +$key = q/{eqnarraystar}w_A(r)&=&prod_{BneqA}frac{1}{2}left[1-erf(mu^prime_{AB})right]mu^pmathbfr}_B}{left|{mathbfr}_A-{mathbfr}_Bright|}{eqnarraystar};MSF=1.6;TAGS=R;AAT/; +$cached_env_img{$key} = q|\begin{eqnarray*}
+w_A(r) & = & \prod_{B\neq A}\frac{1}{2} \left[1  - \
+erf(\mu...
+...thbf r}_B}
+{\left\vert{\mathbf r}_A - {\mathbf r}_B \right\vert}
+\end{eqnarray*}|; + +$key = q/CH_3-CH_3;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$CH_3-CH_3$|; + +$key = q/0.1e;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$0.1 e$|; + +$key = q/T_2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$T_2$|; + +$key = q/ipbc;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$ipbc$|; + +$key = q/gamma;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\gamma$|; + +$key = q/f;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$f$|; + +$key = q/R_{Ci};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$R_{Ci}$|; + +$key = q/_epsilon;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$_\epsilon$|; + +$key = q/-1;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$-1$|; + +$key = q/(6789);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$(6 7 8 9)$|; + +$key = q/psi_{i,sigma}(vec{r});MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\psi_{i,\sigma}(\vec{r})$|; + +$key = q/1.084slash1.528approx0.709;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$1.084/1.528
+\approx 0.709$|; + +$key = q/{displaymath}left(1-factld*{{T_{sync}overn_p}-t^{min}_{sync}overt_{wall}}right)^{1over3}{displaymath};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{displaymath}
+\left( 1 - factld * { {T_{sync} \over n_p} - t^{min}_{sync} \over t_{wall}}
+\right)^{1\over 3}
+\end{displaymath}|; + +$key = q/displaystyle2vec{R}_I^{t}-vec{R}_I^{t-Deltat}+frac{(Deltat)^2}{M_I}frac{partialE}{partialvec{R}_I};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle 2 \vec{R}_I^{t} - \vec{R}_I^{t-\Delta t}
++ \frac{(\Delta t)^2}{M_I}
+\frac{\partial E}{\partial \vec{R}_I}$|; + +$key = q/{table}center{tabular*{{150mm}{p{15mm}p{12mm}l}hlinehlineCard&Format&DescriptionvsII-6-4&3f8.3&soluteatomvelocities,iflvshlinehlinetabular*{{{center{{table};AAT/; +$cached_env_img{$key} = q|\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...e atom velocities, if lvs \\\\
+\hline\hline
+\end{tabular*}\end{center}\end{table}|; + +$key = q/H-CHO;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$H-CHO$|; + +$key = q/D_{3d};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$D_{3d}$|; + +$key = q/x_R;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$x_R$|; + +$key = q/{table}center{tabular*{{150mm}{p{15mm}p{12mm}l}hlinehlineCard&Format&DescriptionII-1-1&4(1pe12.5)&valueofpropertyhlinehlinetabular*{{{center{{table};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...12.5) & value of property \\\\
+\hline\hline
+\end{tabular*}\end{center}\end{table}|; + +$key = q/mathrm{UO_2};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\mathrm{UO_2}$|; + +$key = q/t^{min}_{sync};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$t^{min}_{sync}$|; + +$key = q/M;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$M$|; + +$key = q/2slash(2{l}+1);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$2/(2{l}+1)$|; + +$key = q/_2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$_2$|; + +$key = q/psi;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\psi$|; + +$key = q/LiH^+;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$LiH^+$|; + +$key = q/dist2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$dist2$|; + +$key = q/1s^22s^22p^6;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$1s^2 2s^2 2p^6$|; + +$key = q/r_{{rm{RMS}=0.836*A^{1slash3}+0.57;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$r_{\rm RMS} = 0.836*A^{1/3}+0.57$|; + +$key = q/i;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$i$|; + +$key = q/^{-1};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$^{-1}$|; + +$key = q/E_{CI+PT}(T=0.0001)=-76.274073;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$E_{CI+PT}(T=0.0001) = -76.274073$|; + +$key = q/displaystyleKE({psi_{i,sigma}(vec{r})});MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle KE(\{\psi_{i,\sigma}(\vec{r})\})$|; + +$key = q/equiv;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\equiv$|; + +$key = q/nm;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$nm$|; + +$key = q/frac{MIN(left|vec{a_i}right|)}{pi},i=1,2,3;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\frac{MIN(\left\vert \vec{a_i} \right\vert)}{\pi}, i=1,2,3$|; + +$key = q/sigmacdot{{bf{p}slash2mc;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\sigma\cdot{\bf p}/2mc$|; + +$key = q/x;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$x$|; + +$key = q/h;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$h$|; + +$key = q/{table}center{tabular*{{150mm}{p{15mm}p{12mm}l}hlinehlineDeck&Format&DescriptionI-2-5&i5&numberofimproperdihedralsinthesegmenthlinetabular*{{{center{{table};AAT/; +$cached_env_img{$key} = q|\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...mproper dihedrals in the segment\\\\
+\hline
+\end{tabular*}\end{center}\end{table}|; + +$key = q/{vir}^2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$<batch isize>
+<batch jsize> {vir}^2$|; + +$key = q/A^{-};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$A^{ -}$|; + +$key = q/fguide;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$fguide$|; + +$key = q/_2^{2+};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$_2^{2+}$|; + +$key = q/-2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$-2$|; + +$key = q/1x10^{-8};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$1x10^{-8}$|; + +$key = q/displaystylerho_{semicore}(r)=left{array{{ll}rho_{core}{if{4+c_5r^5+c_6r^6{if{r|; + +$key = q/factld;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$factld$|; + +$key = q/D_{2d};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$D_{2d}$|; + +$key = q/j;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$j$|; + +$key = q/idebug;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$idebug$|; + +$key = q/g;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$g$|; + +$key = q/d^5;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$d^5$|; + +$key = q/{displaymath}DeltaU^{{rm{NWChem}_{l}=frac{2}{2l+1}DeltaU_{l}{displaymath};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{displaymath}
+\Delta U^{\rm NWChem}_{l} = \frac{2}{2l+1} \Delta U_{l}
+\end{displaymath}|; + +$key = q/OH+H_2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$OH + H_2$|; + +$key = q/{eqnarraystar}E_{XC}approxfrac{1}{2}E^{{rm{HF}_X+frac{1}{2}E^{{rm{Slater}_{X}+frac{1}{2}E^{{rm{PW91LDA}_{C}{eqnarraystar};MSF=1.6;TAGS=R;AAT/; +$cached_env_img{$key} = q|\begin{eqnarray*}
+E_{XC}  \approx  \frac{1}{2} E^{\rm HF}_X + \frac{1}{2} E^{\rm Slater}_{X} + \frac{1}{2} E^{\rm PW91LDA}_{C}
+\end{eqnarray*}|; + +$key = q/lambda;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\lambda$|; + +$key = q/A_{ia,jb}=4delta_{ij}delta_{ab}(epsilon_a-epsilon_i);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$A_{ia,jb} = 4 \delta_{ij} \delta_{ab}
+(\epsilon_a - \epsilon_i)$|; + +$key = q/LiH;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$LiH$|; + +$key = q/k;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$k$|; + +$key = q/_delta;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$_\delta$|; + +$key = q/I_h;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$I_h$|; + +$key = q/{eqnarraystar}E_{XC}&=&a_0E^{{rm{HF}_X+(1-a_0)E^{{rm{Slater}_{X}+a_XDeltaE^{{rm{LYP}_C&&{{rm{where}a_0&=&0.20,a_X=0.72,a_C=0.81{eqnarraystar};MSF=1.6;TAGS=R;AAT/; +$cached_env_img{$key} = q|\begin{eqnarray*}
+E_{XC}  &=&  a_0 E^{\rm HF}_X + (1-a_0) E^{\rm Slater}_{X} +...
+...\\\\
+& &{\rm where } \\\\
+a_0 &=& 0.20,  a_X = 0.72,  a_C = 0.81
+\end{eqnarray*}|; + +$key = q/S_{RP};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$S_{RP}$|; + +$key = q/10^{-11};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$10^{-11}$|; + +$key = q/{center}vbox{input{titlepage}}{center};AAT/; +$cached_env_img{$key} = q|\begin{center}\vbox{\input{titlepage}
+}\end{center}|; + +$key = q/dist1;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$dist1$|; + +$key = q/He^{+};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$He^{ +}$|; + +$key = q/phi;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\phi$|; + +$key = q/l;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$l$|; + +$key = q/(SS|SS);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$(SS\vert SS)$|; + +$key = q/rtag;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$rtag$|; + +$key = q/C_{4v};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_{4v}$|; + +$key = q/sp;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$sp$|; + +$key = q/{figure}{centering{{psfig{figure=zmat3.eps,angle=270,width=6in}{{{{figure};FSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{figure}\centering\psfig{figure=zmat3.eps,angle=270,width=6in}\end{figure}|; + +$key = q/E_{CI}=-76.228419;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$E_{CI} = -76.228419$|; + +$key = q/r_0;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$r_0$|; + +$key = q/10^{-8};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$10^{-8}$|; + +$key = q/A_{lk};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$A_{lk}$|; + +$key = q/displaystyleP_{electron};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle P_{electron}$|; + +$key = q/R-CH_3;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$R-CH_3$|; + +$key = q/sigma_h;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\sigma_h$|; + +$key = q/widehat{ijk};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\widehat{ijk}$|; + +$key = q/DeltaU_{l};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\Delta U_{l}$|; + +$key = q/T_{ion};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$T_{ion}$|; + +$key = q/N;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$N$|; + +$key = q/textstyleleftarrow;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\textstyle \leftarrow$|; + +$key = q/R=CH_3;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$R=CH_3$|; + +$key = q/D_{2h};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$D_{2h}$|; + +$key = q/igroup;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$igroup$|; + +$key = q/beta=widehat{Cik};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\beta = \widehat{Cik}$|; + +$key = q/displaystylefrac{deltaE}{deltapsi_{i,sigma}^{*}};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle \frac{\delta E}{\delta \psi_{i,\sigma}^{*}}$|; + +$key = q/E_{CI+PT}(T=0.00001)=-76.276478;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$E_{CI+PT}(T=0.00001) = -76.276478$|; + +$key = q/2slash{l};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$2/{l}$|; + +$key = q/CH_3-CH_2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$CH_3-CH_2$|; + +$key = q/{}times{vir}times{fit};MSF=1.6;AAT/; +$cached_env_img{$key} = q|${<batch size>}\times {vir} \times {fit}$|; + +$key = q/psi_{i,sigma}^{t+Deltat};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\psi_{i,\sigma}^{t+\Delta t}$|; + +$key = q/alpha^4;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\alpha^4$|; + +$key = q/displaystyle+sum_{ij,sigma}Lambda_{ij,sigma}left(intdvec{r}psi_{i,sigma}^{*}(vec{r})psi_{j,sigma}(vec{r})-delta_{ij,sigma}right);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle +\sum_{ij,\sigma} \Lambda_{ij,\sigma} \left( \int d\vec{r}\
+\psi_{i,\sigma}^{*}(\vec{r}) \psi_{j,\sigma}(\vec{r}) - \delta_{ij,\sigma}
+\right)$|; + +$key = q/B_{lk};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$B_{lk}$|; + +$key = q/s>0;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$s > 0$|; + +$key = q/displaystyle2psi_{i,sigma}^{t}-psi_{i,sigma}^{t-Deltat}+frac{(Deltat)^2}{mu}lefttapsi_{i,sigma}^{*}}+sum_{j}psi_{j,sigma}Lambda_{ji,sigma}right]_{t};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle 2 \psi_{i,\sigma}^{t} - \psi_{i,\sigma}^{t-\Delta t}
++ \frac{(\De...
+...\psi_{i,\sigma}^{*}}
++ \sum_{j} \psi_{j,\sigma} \Lambda_{ji,\sigma}
+\right]_{t}$|; + +$key = q/atom2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$atom2$|; + +$key = q/0.001au;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$0.001 au$|; + +$key = q/E_{CI}=-76.041983;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$E_{CI} = -76.041983$|; + +$key = q/+;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$+$|; + +$key = q/dist3;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$dist3$|; + +$key = q/N_{angular};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$N_{angular}$|; + +$key = q/rval;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$rval$|; + +$key = q/displaystylesum_{i,sigma}^{occ}intdvec{r}muleft|dot{psi}_{i,sigma}(vec{r})right||^2-Eleft[left{psi_{i,sigma}(vec{r})right},left{vec{R}_Iright}right];MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle \sum_{i,\sigma}^{occ} \int d\vec{r} \mu \left\vert
+\dot{\psi}_{i...
+...eft[ \left\{ \psi_{i,\sigma}(\vec{r})\right\},\left\{\vec{R}_I \right\} \right]$|; + +$key = q/2H_2+C_2H_4rightarrow2CH_4;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$2H_2 + C_2H_4 \rightarrow 2CH_4$|; + +$key = q/E_{CI}=-76.259285;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$E_{CI} = -76.259285$|; + +$key = q/E_{CI}(T=0.0001)=-76.2300544;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$E_{CI}(T=0.0001) = -76.2300544$|; + +$key = q/C_6;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$C_6$|; + +$key = q/textstyleequiv;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\textstyle \equiv$|; + +$key = q/jatag;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$jatag$|; + +$key = q/D_{6h};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$D_{6h}$|; + +$key = q/0.1;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$0.1$|; + +$key = q/{table}center{tabular*{{150mm}{p{15mm}p{12mm}l}hlinehlineDeck&Format&Description&angleforceconstantinkJmol{^{-1}{,set3hlinetabular*{{{center{{table};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...onstant in kJ mol$^{-1}$, set 3 \\\\
+\hline
+\end{tabular*}\end{center}\end{table}|; + +$key = q/iatag;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$iatag$|; + +$key = q/K^{+}(H_2O);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$K^{+}(H_2O)$|; + +$key = q/displaystyle-frac{deltaE}{deltapsi_{i,sigma}^{*}left(vec{r},tright)}+sumlimits_jLambda_{ij,sigma}psi_{j,sigma}left(vec{r},tright);MSF=1.6;AAT/; +$cached_env_img{$key} = q|$\displaystyle -\frac{\delta E}{\delta \psi_{i,\sigma }^{*}
+\left( \vec{r},t \ri...
+... } + \sum\limits_j \Lambda_{ij,\sigma}
+\psi_{j,\sigma} \left( \vec{r},t \right)$|; + +$key = q/forc1;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$forc1$|; + +$key = q/tguide;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$tguide$|; + +$key = q/Rh(CO)_2Cp;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$Rh(CO)_2Cp$|; + +$key = q/t_{wall};MSF=1.6;AAT/; +$cached_env_img{$key} = q|$t_{wall}$|; + +$key = q/He_2;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$He_2$|; + +$key = q/{table}center{tabular*{{150mm}{p{15mm}p{12mm}l}hlinehlineDeck&Format&DescriptionhedralforceconstantinkJmol{^{-1}{,set3hlinetabular*{{{center{{table};MSF=1.6;AAT/; +$cached_env_img{$key} = q|\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...onstant in kJ mol$^{-1}$, set 3 \\\\
+\hline
+\end{tabular*}\end{center}\end{table}|; + +$key = q/{eqnarraystar}E_{XC}&=&a_0E^{{rm{HF}_X+(1-a_0)E^{{rm{Slater}_{X}+a_XDeltaE^{{rm{w91}_C&&{{rm{where}a_0&=&0.20,a_X=0.72,a_C=0.81{eqnarraystar};MSF=1.6;TAGS=R;AAT/; +$cached_env_img{$key} = q|\begin{eqnarray*}
+E_{XC}  &=&  a_0 E^{\rm HF}_X + (1-a_0) E^{\rm Slater}_{X} +...
+...\\\\
+& &{\rm where } \\\\
+a_0 &=& 0.20,  a_X = 0.72,  a_C = 0.81
+\end{eqnarray*}|; + +$key = q/-1slashr;MSF=1.6;AAT/; +$cached_env_img{$key} = q|$-1/r$|; + +1; + diff --git a/web/doc/user.4.6/images.tex b/web/doc/user.4.6/images.tex new file mode 100644 index 0000000000..91f5e8610e --- /dev/null +++ b/web/doc/user.4.6/images.tex @@ -0,0 +1,3146 @@ +\batchmode + + +\documentclass[10pt,fleqn]{book} +\RequirePackage{ifthen} + + +\hbadness=100000 +\vbadness=100000 +\usepackage{html,fullpage,latexsym} +\usepackage[dvips]{graphicx} +\usepackage{psfig} + +\setlength{\parskip}{6pt} +% +\providecommand{\nwchemversion}{4.6}% +\providecommand{\nwchemyear}{2004}% +\providecommand{\nwchemmonth}{May} +% +\providecommand{\angstroms}{Angstr{\o}ms} + + +\usepackage[dvips]{color} + + +\pagecolor[gray]{.7} + +\usepackage[latin1]{inputenc} + + + +\makeatletter +\AtBeginDocument{\makeatletter +\input /home/edo/park/nwchem-4.6/doc/user/user.aux +\makeatother +} + +\makeatletter +\count@=\the\catcode`\_ \catcode`\_=8 +\newenvironment{tex2html_wrap}{}{}% 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+\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline538}% +$N^4$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline856}% +$LiH$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline860}% +$LiH^+$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline862}% +$LiH^{2+}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1442}% +$1.8897265$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1444}% +$10.0$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1446}% +$0.01$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1450}% +$O_{h}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1452}% +$A$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1454}% +$r_{\rm RMS} = 0.836*A^{1/3}+0.57$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1456}% +$H_2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1458}% +$C_{2{\it v}}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1466}% +$C_1$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1468}% +$10^{-3}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1474}% +$\alpha$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1476}% +$0 < \alpha < 180$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{figure1341}% +\begin{figure}\centering\psfig{figure=zmat1.eps,angle=270,width=6in}\end{figure}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{figure1345}% +\begin{figure}\centering\psfig{figure=zmat2.eps,angle=270,width=6in}\end{figure}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{figure1349}% +\begin{figure}\centering\psfig{figure=zmat3.eps,angle=270,width=6in}\end{figure}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1482}% +$R_{Ci}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1486}% +$\alpha = \widehat{Cij}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1492}% +$\beta$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1494}% +$\beta = \widehat{Cik}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1498}% +$\pm 1$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1502}% +$\widehat{Cik}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1508}% +$CH_3CF_3$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1510}% +$\widehat{ijk}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1512}% +$x$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1514}% +$y$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1516}% +$z$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1532}% +$P1$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{chapter} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1855}% +$h$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1857}% +$sp$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1861}% +$s$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1863}% +$p$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1865}% +$L$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1871}% +$d$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{chapter} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2082}% +$l$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2084}% +$j$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2086}% +$U^{\rm REP}_{lj}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{displaymath1993}% +\begin{displaymath} +U^{\rm REP} = U^{\rm REP}_{LJ}(r) + \sum_{l=0}^{L-1} +\sum_{j=|l-1/2}^{l+1/2} \left[ U^{\rm REP}_{lj}(r) - +U^{\rm REP}_{LJ}(r) \right] \sum_m | lj m \rangle \langle lj m | +\end{displaymath}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{displaymath2006}% +\begin{displaymath} +U^{\rm AREP}_l(r) = \frac{1}{2l+1} \left[ lU^{\rm REP}_{l-1/2}(r) ++ (l+1) U^{\rm REP}_{l+1/2}(r) \right]. +\end{displaymath}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{displaymath2015}% +\begin{displaymath} +H^{\rm SO} = {\bf s} \cdot \sum_{l=1}^{L-1} \frac{2}{2l+1} +\Delta U^{\rm REP}_{l} \sum_{mm'} +| lm \rangle \langle lm | \hat l| lm' \rangle \langle lm' |. +\end{displaymath}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{displaymath2026}% +\begin{displaymath} +\Delta U^{\rm REP}_{l} = U^{\rm REP}_{l+1/2}(r) + - U^{\rm REP}_{l-1/2}(r). +\end{displaymath}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2096}% +$2/(2l+1)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{displaymath2080}% +\begin{displaymath} + r^2U_l(r) = \sum_{k} A_{lk} r^{n_{lk}} e^{-B_{lk}r^{2}} +\end{displaymath}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2098}% +$A_{lk}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2100}% +$n_{lk}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2102}% +$B_{lk}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2106}% +$n_{lk} = 0$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2108}% +$r^{-2}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2112}% +$_2^{2+}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmldisplayA{displaymath2062}% +\begin{displaymath} +\Delta U^{\rm NWChem}_{l} = \frac{2}{2l+1} \Delta U_{l} +\end{displaymath}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2118}% +$\Delta U_{l}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2120}% +$2/(2{l}+1)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2122}% +$\frac{l}{2l+1} \Delta U_{l}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2124}% +$2/{l}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2255}% +$\sigma\cdot{\bf p}/2mc$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2257}% +$\alpha^2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2259}% +$(LL|SS)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2261}% +$(SS|SS)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2265}% +$\alpha^4$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2593}% +$10^{-7}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2595}% +$10^{-12}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2597}% +$(6 7 8 9)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2601}% +$(6 7)(7 8)(8 9)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2603}% +$d^5$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2605}% +$+2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2609}% +$C_s$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2611}% +$10^{-4}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2613}% +$10^{-6}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2615}% +$10^{-8}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2617}% +$10^{-10}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2623}% +$W$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2625}% +$N$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{displaymath2503}% +\begin{displaymath} + W = \left\{ \\ + \begin{array}{c} + N \mbox{ , 8-bit labels and 32-bit values} \\ + \frac{3}{2}N \mbox{ , 16-bit labels and 32-bit values} \\ + \frac{3}{2}N \mbox{ , 8-bit labels and 64-bit values} \\ + 2N \mbox{ , 16-bit labels and 64-bit values} + \end{array} + \right. +\end{displaymath}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2627}% +$\Delta$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2631}% +$A_{ia,jb} = 4 \delta_{ij} \delta_{ab} + (\epsilon_a - \epsilon_i)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3447}% +$O(N^4)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3449}% +$\rho^{1/3}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmldisplayA{eqnarraystar3065}% +\begin{eqnarray*} +E_{XC} \ \approx \ \frac{1}{2} E^{\rm HF}_X + \frac{1}{2} E^{\rm Slater}_{X} + \frac{1}{2} E^{\rm PW91LDA}_{C} +\end{eqnarray*}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{eqnarraystar3079}% +\begin{eqnarray*} +E_{XC} \ &=& \ a_0 E^{\rm HF}_X + (1-a_0) E^{\rm Slater}_{X} + +a_X \Delta E^{\rm Becke88}_{X} + E^{\rm VWN}_C + a_C \Delta E^{Perdew91}_C \\ +& &{\rm where } \\ +a_0 &=& 0.20, \ a_X = 0.72, \ a_C = 0.81 +\end{eqnarray*}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{eqnarraystar3090}% +\begin{eqnarray*} +E_{XC} \ &=& \ a_0 E^{\rm HF}_X + (1-a_0) E^{\rm Slater}_{X} + +a_X \Delta E^{\rm Becke88}_{X} + (1-a_C)E^{\rm VWN\_1\_RPA}_C + a_C E^{LYP}_C \\ +& &{\rm where } \\ +a_0 &=& 0.20, \ a_X = 0.72, \ a_C = 0.81 +\end{eqnarray*}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3455}% +$-1/r$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3457}% +$\star$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + + +\setlength{\itemsep}{-1\baselineskip}% + +\setlength{\itemsep}{-1\baselineskip} + +\setlength{\parsep}{-1\baselineskip}% + +\setlength{\parsep}{-1\baselineskip} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3657}% +$1x10^{-4}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3659}% +$1x10^{-5}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3661}% +$1x10^{-6}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3663}% +$1x10^{-7}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3665}% +$1x10^{-8}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{paragraph} +\stepcounter{paragraph} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3675}% +$IANGQUAD$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3677}% +$N_{angular}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3681}% +$n$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{eqnarraystar3322}% +\begin{eqnarray*} + w_A(r) & = & \prod_{B\neq A}\frac{1}{2} \left[1 \ - \ +erf(\mu^\prime_{AB})\right] \\ + \mu^\prime_{AB} & = & \frac{1}{\alpha} \ \frac{\mu_{AB}}{(1-\mu_{AB}^2)^n}\\ + \mu_{AB} & = & \frac{{\mathbf r}_A - {\mathbf r}_B} +{\left|{\mathbf r}_A - {\mathbf r}_B \right|} +\end{eqnarray*}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3683}% +$10^{(-{\tt accCoul})}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{chapter} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline4312}% +$\mathrm{UO_2}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{chapter} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline4364}% +$(\epsilon-1)/(\epsilon+1/2)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline4366}% +$\epsilon$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline4368}% +$(\epsilon-1)/\epsilon$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline4837}% +$T$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline4839}% +$\Lambda$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline4841}% +$T_1$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline4843}% +$T_2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline4845}% +$T_3$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline4847}% +$T_4$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5149}% +$Si(OH)_2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5239}% +$f$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5255}% +$10^{-9}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5257}% +$10^{-11}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5263}% +$({occ}\ {vir} | {fit})$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5265}% +${}\times {vir} \times {fit}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5267}% +$({}\times {vir})$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5269}% +$({}\times {vir})$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5271}% +$ + {vir}^2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5521}% +$B_1$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5525}% +$^3B_2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5527}% +$B_2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5529}% +$0.1$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5724}% +$E_{CI} = -76.041983$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5726}% +$E_{CI+PT} = -76.304797$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5728}% +$E_{CI} = -76.110894$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5730}% +$E_{CI+PT} = -76.277912$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5732}% +$E_{CI}(T=0.001) = -76.110894$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5734}% +$E_{CI+PT}(T=0.001) = -76.277912$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5736}% +$E_{CI} = -76.228419$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5738}% +$E_{CI+PT} = -76.273751$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5740}% +$E_{CI}(T=0.0001) = -76.2300544$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5742}% +$E_{CI+PT}(T=0.0001) = -76.274073$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5744}% +$E_{CI} = -76.259285$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5746}% +$E_{CI+PT} = -76.276418$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5748}% +$E_{CI}(T=0.00001) = -76.259818$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5750}% +$E_{CI+PT}(T=0.00001) = -76.276478$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5917}% +$>$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{chapter} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6351}% +$i j k r_0$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6353}% +$k$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6355}% +$r_0$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6357}% +$i$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{displaymath6349}% +\begin{displaymath} +E=E_{total}+\frac{1}{2}k(r_{ij}-r_0)^2 +\end{displaymath}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{chapter} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6494}% +$N_{model}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6496}% +$N_{inter}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6498}% +$K^{+}(H_2O)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmldisplayA{displaymath6424}% +\begin{displaymath} +\underline{R}_{link} = (1-g)\underline{R}_{1} + g*\underline{R}_{2} +\end{displaymath}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6500}% +$g$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6502}% +$1.084/1.528 +\approx 0.709$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6504}% +$H_3C-CHO$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6506}% +$H-CHO$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6508}% +$CHO$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6516}% +$R-CH_3 = R-CH_2 + H$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6518}% +$R=CH_3$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6520}% +$CH_4$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6522}% +$R-CH_3$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6524}% +$R-CH_2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6526}% +$CH_3-CH_2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6528}% +$CH_3-CH_3$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6532}% +$Rh(CO)_2Cp$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6534}% +$Rh(CO)_2^+$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsubsection} +\stepcounter{subsection} +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{chapter} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6989}% +$\Delta G^{*}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6991}% +$\lambda$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{displaymath6928}% +\begin{displaymath} +{k_{ET}}= +\frac{2\pi}{\hbar} +V_{RP}^{2} +\frac{1}{\sqrt{4\pi \lambda k_{B}T}} +\exp \left( \frac{- \Delta G^{*}}{k_{B} T} \right) +\end{displaymath}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6995}% +$R$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6997}% +$P$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7017}% +$A^{ -}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7019}% +$B$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7025}% +$B^{ -}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7029}% +$S_{RP}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7031}% +$He_{}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7035}% +$He^{ +}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{chapter} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7239}% +$nm$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7251}% +$0.005 au$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7253}% +$0.001 au$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7255}% +$0.1 e$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7257}% +$0.001 e$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7493}% +$_\epsilon$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7495}% +$_\delta$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7497}% +$atom1$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7499}% +$atom2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7501}% +$forc1$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7503}% +$dist1$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7505}% +$dist2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7507}% +$forc2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7511}% +$dist3$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7521}% +$^{-1}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7523}% +$^{-2}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{chapter} + +% +\providecommand{\mc}[3]{\mbox{\bf #3}}% + + +% +\providecommand{\vb}[1]{\mbox{\verb.#1.}}% + + +% +\providecommand{\none}{\multicolumn{2}{|c|}{ }}% + + +% +\providecommand{\mcc}[1]{\multicolumn{2}{c}{#1}}% + +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8319}% +$^2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8323}% +$fguide$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8327}% +$f^{f}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{displaymath8079}% +\begin{displaymath} +f_i=f^{f}_i+fguide * g_{i-1} +\end{displaymath}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8331}% +$tguide$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8333}% +$\Delta t$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{displaymath8083}% +\begin{displaymath} +g_i = {\Delta t\over tguide} f_i + \left(1- {\Delta t\over tguide}\right) +g_{i-1} +\end{displaymath}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8335}% +$^5$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8355}% +$factld$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{displaymath8209}% +\begin{displaymath} +\left( 1 - factld * { {T_{sync} \over n_p} - t^{min}_{sync} \over t_{wall}} +\right)^{1\over 3} +\end{displaymath}% +\lthtmldisplayZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8357}% +$T_{sync}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8359}% +$n_p$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8361}% +$t^{min}_{sync}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8363}% +$t_{wall}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8365}% +$*$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8369}% +$<=$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8373}% +$+$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8377}% +$idebug$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8379}% +$itest$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9123}% +$\phi$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9125}% +$\psi$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9127}% +$igroup$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9129}% +$jgroup$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9131}% +$ipbc$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9133}% +$function$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9135}% +$value1$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9137}% +$value2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9139}% +$filename$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9145}% +$idef$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9147}% +$length$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9151}% +$itag$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9153}% +$tag$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9155}% +$rtag$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9157}% +$iatag$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9159}% +$jatag$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9167}% +$rval$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{chapter} +{\newpage\clearpage +\lthtmlfigureA{table9598}% +\begin{table}\begin{center} +\begin{tabular*}{150mm}{p{15mm}p{12mm}l} +\hline\hline +Deck & Format & Description \\\hline +I-1-1 & a1 & \$ to identify the start of a segment \\%%$ for emacs +I-1-2 & a10 & name of the segment, the tenth character\\ + & & N: identifies beginning of a chain\\ + & & C: identifies end of a chain\\ + & & blank: identifies chain fragment\\ + & & M: identifies an integral molecule\\ +I-2-1 & i5 & number of atoms in the segment\\ +I-2-2 & i5 & number of bonds in the segment\\ +I-2-3 & i5 & number of angles in the segment\\ +I-2-4 & i5 & number of proper dihedrals in the segment\\ +I-2-5 & i5 & number of improper dihedrals in the segment\\ +\hline +\end{tabular*} +\end{center} +\end{table}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{table9608}% +\begin{table}\begin{center} +\begin{tabular*}{150mm}{p{15mm}p{12mm}l} +\hline\hline +Deck & Format & Description \\\hline +\mbox{\bf For each atom one deck II} \\ +II-1-1 & i5 & atom sequence number \\ +II-1-2 & a6 & atom name \\ +II-1-3 & a5 & atom type, generic set 1 \\ +II-1-4 & a1 & dynamics type\\ + & & \verb+ + : normal\\ + & & \verb+D+ : dummy atom\\ + & & \verb+S+ : solute interactions only\\ + & & \verb+Q+ : quantum atom\\ + & & other : intramolecular solute interactions only\\ +II-1-4 & a5 & atom type, generic set 2 \\ +II-1-5 & a1 & dynamics type\\ + & & \verb+ + : normal\\ + & & \verb+D+ : dummy atom\\ + & & \verb+S+ : solute interactions only\\ + & & \verb+Q+ : quantum atom\\ + & & other : intramolecular solute interactions only\\ +II-1-6 & a5 & atom type, generic set 3 \\ +II-1-7 & a1 & dynamics type\\ + & & \verb+ + : normal\\ + & & \verb+D+ : dummy atom\\ + & & \verb+S+ : solute interactions only\\ + & & \verb+Q+ : quantum atom\\ + & & other : intramolecular solute interactions only\\ +II-1-8 & i5 & charge group\\ +II-1-9 & i5 & polarization group\\ +II-1-10 & i5 & link number\\ +II-1-11 & i5 & environment type\\ + & & 0: no special identifier\\ + & & 1: planar, using improper torsion\\ + & & 2: tetrahedral, using improper torsion\\ + & & 3: tetrahedral, using improper torsion\\ + & & 4: atom in aromatic ring\\ +II-2-1 & f12.6 & atomic partial charge in e, set 1\\ +II-2-2 & f12.6 & atomic polarizability/$4\pi\epsilon_o$\ in nm$^3$, set 1\\ +II-2-3 & f12.6 & atomic partial charge in e, set 2\\ +II-2-4 & f12.6 & atomic polarizability/$4\pi\epsilon_o$\ in nm$^3$, set 2\\ +II-2-5 & f12.6 & atomic partial charge in e, set 3\\ +II-2-6 & f12.6 & atomic polarizability/$4\pi\epsilon_o$\ in nm$^3$, set 3\\ +\hline +\end{tabular*} +\end{center} +\end{table}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{table9621}% +\begin{table}\begin{center} +\begin{tabular*}{150mm}{p{15mm}p{12mm}l} +\hline\hline +Deck & Format & Description \\\hline +\mbox{\bf For each bond a deck III} \\ +III-1-1 & i5 & bond sequence number \\ +III-1-2 & i5 & bond atom i \\ +III-1-3 & i5 & bond atom j \\ +III-1-4 & i5 & bond type \\ + & & 0: harmonic\\ + & & 1: constrained bond\\ +III-1-5 & i5 & bond parameter origin\\ + & & 0: from database, next card ignored \\ + & & 1: from next card\\ +III-2-1 & f12.6 & bond length in nm, set 1\\ +III-2-2 & e12.5 & bond force constant in kJ nm$^2$\ mol$^{-1}$, set 1 \\ +III-2-3 & f12.6 & bond length in nm, set 2\\ +III-2-4 & e12.5 & bond force constant in kJ nm$^2$\ mol$^{-1}$, set 2 \\ +III-2-5 & f12.6 & bond length in nm, set 3\\ +III-2-6 & e12.5 & bond force constant in kJ nm$^2$\ mol$^{-1}$, set 3 \\ +\hline +\end{tabular*} +\end{center} +\end{table}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{table9637}% +\begin{table}\begin{center} +\begin{tabular*}{150mm}{p{15mm}p{12mm}l} +\hline\hline +Deck & Format & Description \\\hline +\mbox{\bf For each angle a deck IV} \\ +IV-1-1 & i5 & angle sequence number \\ +IV-1-2 & i5 & angle atom i \\ +IV-1-3 & i5 & angle atom j \\ +IV-1-4 & i5 & angle atom k \\ +IV-1-5 & i5 & angle type \\ + & & 0: harmonic\\ +IV-1-6 & i5 & angle parameter origin\\ + & & 0: from database, next card ignored \\ + & & 1: from next card\\ +IV-2-1 & f10.6 & angle in radians, set 1\\ +IV-2-2 & e12.5 & angle force constant in kJ mol$^{-1}$, set 1 \\ +IV-2-3 & f10.6 & angle in radians, set 2\\ +IV-2-4 & e12.5 & angle force constant in kJ mol$^{-1}$, set 2 \\ +IV-2-5 & f10.6 & angle in radians, set 3\\ +IV-2-6 & e12.5 & angle force constant in kJ mol$^{-1}$, set 3 \\ +\hline +\end{tabular*} +\end{center} +\end{table}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{table9653}% +\begin{table}\begin{center} +\begin{tabular*}{150mm}{p{15mm}p{12mm}l} +\hline\hline +Deck & Format & Description \\\hline +\mbox{\bf For each proper dihedral a deck V} \\ +V-1-1 & i5 & proper dihedral sequence number \\ +V-1-2 & i5 & proper dihedral atom i \\ +V-1-3 & i5 & proper dihedral atom j \\ +V-1-4 & i5 & proper dihedral atom k \\ +V-1-5 & i5 & proper dihedral atom l \\ +V-1-6 & i5 & proper dihedral type \\ + & & 0: $C\cos(m\phi-\delta)$\\ +V-1-7 & i5 & proper dihedral parameter origin\\ + & & 0: from database, next card ignored \\ + & & 1: from next card\\ +V-2-1 & i3 & multiplicity, set 1\\ +V-2-2 & f10.6 & proper dihedral in radians, set 1\\ +V-2-3 & e12.5 & proper dihedral force constant in kJ mol$^{-1}$, set 1 \\ +V-2-4 & i3 & multiplicity, set 2\\ +V-2-5 & f10.6 & proper dihedral in radians, set 2\\ +V-2-6 & e12.5 & proper dihedral force constant in kJ mol$^{-1}$, set 2 \\ +V-2-7 & i3 & multiplicity, set 3\\ +V-2-8 & f10.6 & proper dihedral in radians, set 3\\ +V-2-9 & e12.5 & proper dihedral force constant in kJ mol$^{-1}$, set 3 \\ +\hline +\end{tabular*} +\end{center} +\end{table}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{table9669}% +\begin{table}\begin{center} +\begin{tabular*}{150mm}{p{15mm}p{12mm}l} +\hline\hline +Deck & Format & Description \\\hline +\mbox{\bf For each improper dihedral a deck VI} \\ +VI-1-1 & i5 & improper dihedral sequence number \\ +VI-1-2 & i5 & improper dihedral atom i \\ +VI-1-3 & i5 & improper dihedral atom j \\ +VI-1-4 & i5 & improper dihedral atom k \\ +VI-1-5 & i5 & improper dihedral atom l \\ +VI-1-6 & i5 & improper dihedral type \\ + & & 0: harmonic\\ +VI-1-7 & i5 & improper dihedral parameter origin\\ + & & 0: from database, next card ignored \\ + & & 1: from next card\\ +VI-2-1 & 3x,f10.6 & improper dihedral in radians, set 1\\ +VI-2-2 & e12.5 & improper dihedral force constant in kJ mol$^{-1}$, set 1 \\ +VI-2-3 & 3x,f10.6 & improper dihedral in radians, set 2\\ +VI-2-4 & e12.5 & improper dihedral force constant in kJ mol$^{-1}$, set 2 \\ +VI-2-5 & 3x,f10.6 & improper dihedral in radians, set 3\\ +VI-2-6 & e12.5 & improper dihedral force constant in kJ mol$^{-1}$, set 3 \\ +\hline\hline +\end{tabular*} +\end{center} +\end{table}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{table9685}% +\begin{table}\begin{center} +\begin{tabular*}{150mm}{p{15mm}p{12mm}l} +\hline\hline +Card & Format & Description \\\hline +I-1-1 & a1 & \$ to identify the start of a sequence \\%%$ for emacs +I-1-2 & a10 & name of the sequence\\ +\hline +\mbox{\bf Any number of cards 1 and 2 in deck II to specify the system} \\ +\hline +II-1-1 & i5 & segment number\\ +II-1-2 & a10 & segment name, last character will be determined from chain\\ +\hline +II-2-1 & a & \verb+break+ to identify a break in the molecule chain\\ +\hline +II-2-1 & a & \verb+molecule+ to identify the end of a solute molecule\\ +\hline +II-2-1 & a & \verb+fraction+ to identify the end of a solute fraction\\ +\hline +II-2-1 & a5 & \verb+link + to specify a link\\ +II-2-2 & i5 & segment number of first link atom\\ +II-2-3 & a4 & name of first link atom \\ +II-2-4 & i5 & segment number of second link atom\\ +II-2-5 & a4 & name of second link atom \\ +\hline +II-2-1 & a & \verb+solvent+ to identify solvent definition on next card\\ +\hline +II-2-1 & a & \verb+stop+ to identify the end of the sequence\\ +\hline +II-2-1 & a6 & \verb+repeat+ to repeat next $ncard$\ cards $ncount$times\\ +II-2-2 & i5 & number of cards to repeat ($ncards$)\\ +II-2-3 & i5 & number of times to repeat cards ($ncount$)\\ +\mbox{\bf Any number of cards in deck II to specify the system} \\ +\hline\hline +\end{tabular*} +\end{center} +\end{table}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{table9701}% +\begin{table}\begin{center} +\begin{tabular*}{150mm}{p{15mm}p{12mm}l} +\hline\hline +Card & Format & Description \\\hline +I-1-1 & a6 & keyword \verb+header+ \\ +\hline +I-2-1 & i10 & number of atoms per solvent molecule \\ +I-2-2 & i10 & number of solute atoms \\ +I-2-3 & i10 & number of solute bonds \\ +I-2-4 & i10 & number of solvent bonds \\ +\hline +\mbox{\bf For each atoms per solvent molecule one card I-3} \\ +\hline +I-3-1 & a5 & solvent name \\ +I-3-2 & a5 & atom name \\ +I-3-3 & 6x,i10 & solvent atom counter \\ +\hline +\mbox{\bf For each solute atom one card I-4} \\ +\hline +I-4-1 & a5 & segment name \\ +I-4-2 & a5 & atom name \\ +I-4-3 & i6 & segment number \\ +I-4-4 & i10 & solute atom counter \\ +\hline +\mbox{\bf For each solvent bond one card I-5} \\ +\hline +I-5-1 & i8 & atom index i for bond between i and j \\ +I-5-2 & i8 & atom index j for bond between i and j \\ +\hline +\mbox{\bf For each solute bond one card I-6} \\ +\hline +I-6-1 & i8 & atom index i for bond between i and j \\ +I-6-2 & i8 & atom index j for bond between i and j \\ +\hline +\mbox{\bf For each frame one deck II} \\ +\hline +II-1-1 & a5 & keyword \verb+frame+ \\ +II-2-1 & f12.6 & time of frame in ps \\ +II-2-2 & f12.6 & temperature of frame in K \\ +II-2-3 & e12.5 & pressure of frame in Pa \\ +\hline +II-3-1 & f12.6 & box dimension x \\ +II-3-2 & 12x,f12.6 & box dimension y \\ +II-3-3 & 24x,f12.6 & box dimension z \\ +\hline +II-4-1 & l1 & logical lxw for solvent coordinates \\ +II-4-2 & l1 & logical lvw for solvent velocities \\ +II-4-3 & l1 & logical lxs for solute coordinates \\ +II-4-4 & l1 & logical lvs for solute velocities \\ +II-4-5 & i10 & number of solvent molecules \\ +II-4-6 & i10 & number of solvent atoms \\ +II-4-7 & i10 & number of solute atoms \\ +\hline +\mbox{\bf For each solvent molecule one card II-5 for each atom} \\ +\hline +II-5-1 & 3f8.3 & solvent atom coordinates, if lxw or lvw \\ +II-5-4 & 3f8.3 & solvent atom velocities, if lvw \\ +\hline +\mbox{\bf For each solute atom one card II-6 for each atom} \\ +\hline +II-6-1 & 3f8.3 & solute atom coordinates, if lxs or lvs \\ +II-6-4 & 3f8.3 & solute atom velocities, if lvs \\ +\hline\hline +\end{tabular*} +\end{center} +\end{table}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{table9732}% +\begin{table}\begin{center} +\begin{tabular*}{150mm}{p{15mm}p{12mm}l} +\hline\hline +Card & Format & Description \\\hline +\mbox{\bf For each step in $\lambda$\ one deck I} \\ +I-1-1 & i7 & number $nderiv$\ of data summed in derivative decomposition array $deriv$\ \\ +I-1-2 & i7 & length $ndata$\ of total derivative array $drf$\ \\ +I-1-3 & f12.6 & current value of $\lambda$\ \\ +I-1-4 & f12.6 & step size of $\lambda$\ \\ +\hline +I-2-1 & 4e12.12 & derivative decomposition array $deriv(1:24)$\ \\ +\hline +I-3-1 & 4e12.12 & total derivative array $dfr(1:nda)$\ \\ +\hline +I-4-1 & i10 & size of ensemble at current $\lambda$\ \\ +I-4-2 & e20.12 & average temperature at current $\lambda$\ \\ +I-4-3 & e20.12 & average exponent reverse perturbation energy at current $\lambda$\ \\ +I-4-4 & e20.12 & average exponent forward perturbation energy at current $\lambda$\ \\ +\hline\hline +\end{tabular*} +\end{center} +\end{table}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{table9745}% +\begin{table}\begin{center} +\begin{tabular*}{150mm}{p{15mm}p{12mm}l} +\hline\hline +Card & Format & Description \\\hline +\mbox{\bf For each analyzed time step one card I-1} \\ +I-1-1 & f12.6 & time in ps \\ +I-1-2 & f12.6 & total rms deviation of the selected atoms before superimposition \\ +I-1-3 & f12.6 & total rms deviation of the selected atoms after superimposition \\ +\hline +II-1-1 & a8 & keyword \verb+analysis+ \\ +\hline +\mbox{\bf For each solute atom one card II-2} \\ +\hline +II-2-1 & a5 & segment name \\ +II-2-2 & a5 & atom name \\ +II-2-3 & i6 & segment number \\ +II-2-4 & i10 & atom number \\ +II-2-5 & i5 & selected if 1 \\ +II-2-6 & f12.6 & average atom rms deviation after superimposition \\ +\hline +III-1-1 & a8 & keyword \verb+analysis+ \\ +\hline +\mbox{\bf For each solute segment one card III-2} \\ +III-2-1 & a5 & segment name \\ +III-2-2 & i6 & segment number \\ +III-2-3 & f12.6 & average segment rms deviation after superimposition \\ +\hline\hline +\end{tabular*} +\end{center} +\end{table}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{table9764}% +\begin{table}\begin{center} +\begin{tabular*}{150mm}{p{15mm}p{12mm}l} +\hline\hline +Card & Format & Description \\\hline +I-1-1 & i7 & number $nprop$\ of recorded properties \\ +I-1-2 & 1x,2a10 & date and time \\ +\hline +\mbox{\bf For each of the $nprop$\ properties one card I-2} \\ +\hline +I-2-1 & a50 & description of recorded property \\ +\hline +\mbox{\bf For each recorded step one deck II} \\ +\hline +II-1-1 & 4(1pe12.5) & value of property \\ +\hline\hline +\end{tabular*} +\end{center} +\end{table}% +\lthtmlfigureZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{chapter} + +\newcounter{algcounter}[chapter]% + + +\newedenvironment{algorithm}[1]{ \refstepcounter{algcounter} + \begin{center} + {\bf Algorithm} \thechapter.\arabic{algcounter}: #1 + \end{center} + \begin{center}\begin{enumerate} \begin{em}} + {\end{em}\end{enumerate}\end{center}}% + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10596}% +$<$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10616}% +$\mu$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10664}% +$\frac{MIN(\left| \vec{a_i} \right|)}{\pi}, i=1,2,3$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10666}% +$||$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10692}% +$\gamma$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10786}% +$\equiv$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10788}% +$P_{electron}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10796}% +$T_{electron}$% +\lthtmlinlinemathZ 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+$2p$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsubsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10904}% +$r_{cut}(l)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsubsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10908}% +$\rho_{semicore}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10910}% +$\rho_{core}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20290}% +$\displaystyle \rho_{semicore}(r) = \left\{ \begin{array}{ll} +\rho_{core} & \mbox{if $r \geq r_{semicore}$} \\ +c_0 + c_3 r^3 + c_4 r^4 + c_5 r^5 + c_6 r^6 & \mbox{if $r < r_{semicore}$} +\end{array} +\right.$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsubsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10964}% +$(-2||-1||1||2)$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10972}% +$-2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsubsection} +\stepcounter{subsubsection} +\stepcounter{subsubsection} +\stepcounter{subsubsection} +\stepcounter{subsubsection} +\stepcounter{subsubsection} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20477}% +$\displaystyle KE(\{\psi_{i,\sigma}(\vec{r})\})$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20478}% +$\textstyle =$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20479}% +$\displaystyle \sum_{i,\sigma}^{occ} +\int d\vec{r}\ \mu \left| +\dot{\psi}_{i,\sigma}(\vec{r}) \right|^2$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20481}% +$\displaystyle L$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20483}% +$\displaystyle \sum_{i,\sigma}^{occ} \int d\vec{r}\ \mu \left| +\dot{\psi}_{i,\sigma}(\vec{r}) \right|^2 ++ \frac 12 \sum_I M_I \left| \dot{\vec{R}}_I \right|^2 +- E\left[ \left\{ \psi_{i,\sigma}(\vec{r})\right\},\left\{\vec{R}_I \right\} \right]$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20484}% +$\displaystyle +\sum_{ij,\sigma} \Lambda_{ij,\sigma} \left( \int d\vec{r}\ +\psi_{i,\sigma}^{*}(\vec{r}) \psi_{j,\sigma}(\vec{r}) - \delta_{ij,\sigma} +\right)$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11238}% +$\psi_{i,\sigma}(\vec{r})$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11240}% +$\vec{R}_I$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20488}% +$\displaystyle \mu \ddot{\psi}_{i,\sigma}(\vec{r},t)$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20490}% +$\displaystyle -\frac{\delta E}{\delta \psi_{i,\sigma }^{*} +\left( \vec{r},t \right) } + \sum\limits_j \Lambda_{ij,\sigma} +\psi_{j,\sigma} \left( \vec{r},t \right)$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20492}% +$\displaystyle M_I \ddot{\vec{R}}_I$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20494}% +$\displaystyle -\frac{\partial E}{\partial \vec{R}_I}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11244}% +$M_I$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11248}% +$\Lambda_{ij,\sigma}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20502}% +$\displaystyle \psi_{i,\sigma}^{t+ \Delta t}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20503}% +$\textstyle \leftarrow$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20504}% +$\displaystyle 2 \psi_{i,\sigma}^{t} - \psi_{i,\sigma}^{t-\Delta t} ++ \frac{(\Delta t)^2}{\mu} +\left[ +\frac{\delta E}{\delta \psi_{i,\sigma}^{*}} ++ \sum_{j} \psi_{j,\sigma} \Lambda_{ji,\sigma} +\right]_{t}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20506}% +$\displaystyle \vec{R}_I^{t+\Delta t}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20508}% +$\displaystyle 2 \vec{R}_I^{t} - \vec{R}_I^{t-\Delta t} ++ \frac{(\Delta t)^2}{M_I} +\frac{\partial E}{\partial \vec{R}_I}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11252}% +$\frac{\delta E}{\delta \psi_{i,\sigma}^{*}}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20513}% +$\displaystyle \frac{\delta E}{\delta \psi_{i,\sigma}^{*}}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20515}% +$\displaystyle -\frac{1}{2} \nabla^2 +\psi_{i,\sigma}(\vec{r})$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20516}% +$\textstyle +$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20517}% +$\displaystyle \int d\vec{r^{\prime}} +W_{ext}(\vec{r},\vec{r^{\prime}}) +\psi_{i,\sigma}(\vec{r^{\prime}})$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20519}% +$\displaystyle \int d\vec{r^{\prime}} +\frac{n(\vec{r^{\prime}})}{|\vec{r}-\vec{r^{\prime}}|} +\psi_{i,\sigma}(\vec{r})$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20521}% +$\displaystyle \mu_{xc}^{\sigma}(\vec{r}) +\psi_{i,\sigma}(\vec{r})$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20522}% +$\textstyle \equiv$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20523}% +$\displaystyle \hat{H} \psi_{i,\sigma}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11260}% +$\psi_{i,\sigma}^{t+\Delta t}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11262}% +$x_e$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11264}% +$x_R$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20530}% +$\displaystyle ION\_THERMOSTAT(x_R)$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20532}% +$\displaystyle \frac{1}{2} Q_R \dot{x_R} + E_{R0}x_R$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20533}% +$\displaystyle ELECTRON\_THERMOSTAT(x_e)$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20535}% +$\displaystyle \frac{1}{2} Q_e \dot{x_e} + E_{e0}x_e$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20537}% +$\displaystyle E_{R0} = \frac{1}{2} f k_B T$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11268}% +$k_B$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20541}% +$\displaystyle E_{e0} = 4 k_B T \frac{\mu}{M} \sum_i <\psi_i|-\frac{1}{2} \nabla^2 |\psi_i>$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11272}% +$M$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11274}% +$\sum_i <\psi_i|-\frac{1}{2} \nabla^2 |\psi_i>$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11276}% +$Q_e$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11278}% +$Q_R$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20548}% +$\displaystyle P_{ion}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20550}% +$\displaystyle 2\pi \sqrt{\frac{Q_R}{4E_{R0}}}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20551}% +$\displaystyle P_{electron}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20553}% +$\displaystyle 2\pi \sqrt{\frac{Q_e}{4E_{e0}}}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20557}% +$\displaystyle T_e(t) = T_e^0 \exp^{-\frac{t}{\tau_e}}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_indisplay20558}% +$\displaystyle T_{ionic}(t) = T_{ionic}^0 \exp^{-\frac{t}{\tau_{ionic}}}$% +\lthtmlindisplaymathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11284}% +$T_e^0$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11286}% +$T_{ionic}^0$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11288}% +$\tau_e$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11304}% +$\Gamma$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11306}% +$\alpha=\beta=\gamma=90^o$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11741}% +$2H_2 + C_2H_4 \rightarrow 2CH_4$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11743}% +$He_2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11967}% +$H + H_2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11969}% +$OH + H_2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsubsection} +\stepcounter{subsubsection} +\stepcounter{subsubsection} +\stepcounter{subsubsection} +\stepcounter{subsubsection} +\stepcounter{paragraph} +\stepcounter{paragraph} +\stepcounter{paragraph} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11975}% +$s < 0$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11977}% +$s > 0$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{subsubsection} +\stepcounter{subsubsection} +\stepcounter{chapter} +\appendix +\stepcounter{chapter} +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12882}% +$\sigma_h$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12886}% +$C_2$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12888}% +$\sigma_v$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12892}% +$D_{\infty h}$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12898}% +$\sigma$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12912}% +$C_3$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12918}% +$C_5$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12946}% +$\sigma_d$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12956}% +$C_6$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12958}% +$C_2'$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12960}% +$C_2''$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12992}% +$C_4$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline13020}% +$S_5$% +\lthtmlinlinemathZ +\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{chapter} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} +\stepcounter{section} + +\end{document} diff --git a/web/doc/user.4.6/img1.gif b/web/doc/user.4.6/img1.gif new 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+$external_labels{$key} = "$URL/" . q|node12.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:interface/; +$external_labels{$key} = "$URL/" . q|node39.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_dplot/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:Nbofile/; +$external_labels{$key} = "$URL/" . q|node30.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:rel/; +$external_labels{$key} = "$URL/" . q|node11.html|; +$noresave{$key} = "$nosave"; + +$key = q/eq:b4/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pyerr/; +$external_labels{$key} = "$URL/" . q|node38.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_wannier/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:persist/; +$external_labels{$key} = "$URL/" . q|node5.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_unitcell_optimization/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:oniomeg3/; +$external_labels{$key} = "$URL/" . q|node25.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:esp/; +$external_labels{$key} = "$URL/" . q|node31.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:scfconv/; +$external_labels{$key} = "$URL/" . q|node12.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:set/; +$external_labels{$key} = "$URL/" . q|node7.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:oniomeg4/; +$external_labels{$key} = "$URL/" . q|node25.html|; +$noresave{$key} = "$nosave"; + +$key = q/fig:zmat1/; +$external_labels{$key} = "$URL/" . q|node8.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:constraints/; +$external_labels{$key} = "$URL/" . q|node8.html|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdrms/; +$external_labels{$key} = "$URL/" . q|node36.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:property/; +$external_labels{$key} = "$URL/" . q|node30.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:sample1/; +$external_labels{$key} = "$URL/" . q|node42.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:DFTsample/; +$external_labels{$key} = "$URL/" . q|node13.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:getstart/; +$external_labels{$key} = "$URL/" . q|node4.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nrswitch/; +$external_labels{$key} = "$URL/" . q|node12.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:task/; +$external_labels{$key} = "$URL/" . q|node7.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:stepper:backstep/; +$external_labels{$key} = "$URL/" . q|node23.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:scan2/; +$external_labels{$key} = "$URL/" . q|node38.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:knownbasis/; +$external_labels{$key} = "$URL/" . q|node41.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:intro/; +$external_labels{$key} = "$URL/" . q|node3.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:inputstructure/; +$external_labels{$key} = "$URL/" . q|node4.html|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdseg4/; +$external_labels{$key} = "$URL/" . q|node36.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:sample2/; +$external_labels{$key} = "$URL/" . q|node42.html|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdprp/; +$external_labels{$key} = "$URL/" . q|node36.html|; +$noresave{$key} = "$nosave"; + +$key = q/appendix:b2/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:cart/; +$external_labels{$key} = "$URL/" . q|node8.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:tce/; +$external_labels{$key} = "$URL/" . q|node17.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:oniomeg1/; +$external_labels{$key} = "$URL/" . q|node25.html|; +$noresave{$key} = "$nosave"; + +$key = q/mp2:core/; +$external_labels{$key} = "$URL/" . q|node18.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:constraintsnew/; +$external_labels{$key} = "$URL/" . q|node24.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:etransfock/; +$external_labels{$key} = "$URL/" . q|node29.html|; +$noresave{$key} = "$nosave"; + +$key = q/eq:b8/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:sodft/; +$external_labels{$key} = "$URL/" . q|node14.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:echo/; +$external_labels{$key} = "$URL/" . q|node7.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nwanwsgm/; +$external_labels{$key} = "$URL/" . q|node33.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_cell/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nwatopology/; +$external_labels{$key} = "$URL/" . q|node33.html|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdseg2/; +$external_labels{$key} = "$URL/" . q|node36.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:band_tasks/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:symgrp/; +$external_labels{$key} = "$URL/" . q|node8.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_v_wavefunction_initializer/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/fig:zmat2/; +$external_labels{$key} = "$URL/" . q|node8.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:Z-matrix/; +$external_labels{$key} = "$URL/" . q|node8.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:dyall-mod-dir/; +$external_labels{$key} = "$URL/" . q|node11.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_SIC/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:driver/; +$external_labels{$key} = "$URL/" . q|node22.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:oniom/; +$external_labels{$key} = "$URL/" . q|node25.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:functionality/; +$external_labels{$key} = "$URL/" . q|node6.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:simplesample/; +$external_labels{$key} = "$URL/" . q|node4.html|; +$noresave{$key} = "$nosave"; + +$key = q/grgrid/; +$external_labels{$key} = "$URL/" . q|node13.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nwaforcefields/; +$external_labels{$key} = "$URL/" . q|node33.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:ecp/; +$external_labels{$key} = "$URL/" . q|node10.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:ecce/; +$external_labels{$key} = "$URL/" . q|node7.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_Car-Parrinello/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:activeatoms/; +$external_labels{$key} = "$URL/" . q|node8.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:douglas-kroll/; +$external_labels{$key} = "$URL/" . q|node11.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:paw_tutorial/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:first_task/; +$external_labels{$key} = "$URL/" . q|node7.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:unset/; +$external_labels{$key} = "$URL/" . q|node7.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_cell_optimization/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:tddft/; +$external_labels{$key} = "$URL/" . q|node16.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:procgrp/; +$external_labels{$key} = "$URL/" . q|node44.html|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:tddft-printable/; +$external_labels{$key} = "$URL/" . q|node16.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:basis/; +$external_labels{$key} = "$URL/" . q|node9.html|; +$noresave{$key} = "$nosave"; + +$key = q/eq:b3/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nwmd/; +$external_labels{$key} = "$URL/" . q|node33.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:charge/; +$external_labels{$key} = "$URL/" . q|node7.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:paw_tasks/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:sample/; +$external_labels{$key} = "$URL/" . q|node42.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:mcscf/; +$external_labels{$key} = "$URL/" . q|node19.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:geom/; +$external_labels{$key} = "$URL/" . q|node8.html|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdseg6/; +$external_labels{$key} = "$URL/" . q|node36.html|; +$noresave{$key} = "$nosave"; + +$key = q/tablexc/; +$external_labels{$key} = "$URL/" . q|node13.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:zcoord/; +$external_labels{$key} = "$URL/" . q|node8.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:tolguess/; +$external_labels{$key} = "$URL/" . q|node12.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:mcscfvectors/; +$external_labels{$key} = "$URL/" . q|node19.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:syntax/; +$external_labels{$key} = "$URL/" . q|node4.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:dftconv/; +$external_labels{$key} = "$URL/" . q|node13.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:prepare/; +$external_labels{$key} = "$URL/" . q|node32.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:stepper/; +$external_labels{$key} = "$URL/" . q|node23.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_steepest_descent/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:latticeparam/; +$external_labels{$key} = "$URL/" . q|node8.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:level/; +$external_labels{$key} = "$URL/" . q|node12.html|; +$noresave{$key} = "$nosave"; + +$key = q/orbloc/; +$external_labels{$key} = "$URL/" . q|node12.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:fragguess/; +$external_labels{$key} = "$URL/" . q|node12.html|; +$noresave{$key} = "$nosave"; + +$key = q/smear/; +$external_labels{$key} = "$URL/" . q|node13.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_nose/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:mp2-printable/; +$external_labels{$key} = "$URL/" . q|node18.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:scf/; +$external_labels{$key} = "$URL/" . q|node12.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:dft/; +$external_labels{$key} = "$URL/" . q|node13.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:vectors/; +$external_labels{$key} = "$URL/" . q|node12.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nbo/; +$external_labels{$key} = "$URL/" . q|node39.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:adapt/; +$external_labels{$key} = "$URL/" . q|node12.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_CP/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:inputsyntax/; +$external_labels{$key} = "$URL/" . q|node17.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:database/; +$external_labels{$key} = "$URL/" . q|node5.html|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdseg3/; +$external_labels{$key} = "$URL/" . q|node36.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:etrans/; +$external_labels{$key} = "$URL/" . q|node29.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nwafilenames/; +$external_labels{$key} = "$URL/" . q|node33.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:etransvectors/; +$external_labels{$key} = "$URL/" . q|node29.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_wavefunction_expander/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:qmmm/; +$external_labels{$key} = "$URL/" . q|node35.html|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdseq/; +$external_labels{$key} = "$URL/" . q|node36.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:hess/; +$external_labels{$key} = "$URL/" . q|node26.html|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdseg1/; +$external_labels{$key} = "$URL/" . q|node36.html|; +$noresave{$key} = "$nosave"; + +$key = q/eq:b6/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_cp/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:analysis/; +$external_labels{$key} = "$URL/" . q|node34.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_CP_constraint/; +$external_labels{$key} = "$URL/" . q|node37.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:start/; +$external_labels{$key} = "$URL/" . q|node7.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pygeom/; +$external_labels{$key} = "$URL/" . q|node38.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:mp2vectors/; +$external_labels{$key} = "$URL/" . q|node18.html|; +$noresave{$key} = "$nosave"; + +$key = q/sec:selci/; +$external_labels{$key} = "$URL/" . q|node20.html|; +$noresave{$key} = "$nosave"; + +1; + + +# LaTeX2HTML 2002 (1.62) +# labels from external_latex_labels array. + + +$key = q/tbl:freeze-by-atoms/; +$external_latex_labels{$key} = q|16.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:band_brillouin_zone/; +$external_latex_labels{$key} = q|35.2.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:psp_library/; +$external_latex_labels{$key} = q|35.4|; +$noresave{$key} = "$nosave"; + +$key = q/fig:zmat3/; +$external_latex_labels{$key} = q|6.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_psp_generator/; +$external_latex_labels{$key} = q|35.1.9|; +$noresave{$key} = "$nosave"; + +$key = q/MCSCF_print_options/; +$external_latex_labels{$key} = q|17.9|; +$noresave{$key} = "$nosave"; + +$key = q/sec:tol2e/; +$external_latex_labels{$key} = q|10.4|; +$noresave{$key} = "$nosave"; + +$key = q/sec:xc/; +$external_latex_labels{$key} = q|11.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:sym/; +$external_latex_labels{$key} = q|10.2|; +$noresave{$key} = "$nosave"; + +$key = q/appendix:b1/; +$external_latex_labels{$key} = q|35.2|; +$noresave{$key} = "$nosave"; + +$key = q/sec:sigchld/; +$external_latex_labels{$key} = q|36.3.11|; +$noresave{$key} = "$nosave"; + +$key = q/eq:b7/; +$external_latex_labels{$key} = q|35.7|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdseg5/; +$external_latex_labels{$key} = q|34.6|; +$noresave{$key} = "$nosave"; + +$key = q/sec:semidirect/; +$external_latex_labels{$key} = q|10.11|; +$noresave{$key} = "$nosave"; + +$key = q/sec:sample3/; +$external_latex_labels{$key} = q|B.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_wavefunction_initializer/; +$external_latex_labels{$key} = q|35.1.10|; +$noresave{$key} = "$nosave"; + +$key = q/sec:scfprint/; +$external_latex_labels{$key} = q|10.16|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw/; +$external_latex_labels{$key} = q|35|; +$noresave{$key} = "$nosave"; + +$key = q/sec:oniomeg2/; +$external_latex_labels{$key} = q|23.6.2|; +$noresave{$key} = "$nosave"; + +$key = q/sec:mp2/; +$external_latex_labels{$key} = q|16|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nwanwrst/; +$external_latex_labels{$key} = q|31.6|; +$noresave{$key} = "$nosave"; + +$key = q/sec:band_tutorial1/; +$external_latex_labels{$key} = q|35.10|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_cp_data/; +$external_latex_labels{$key} = q|35.5.7|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_tasks/; +$external_latex_labels{$key} = q|35.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:dirdyvtst/; +$external_latex_labels{$key} = q|37.2|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nwaextensions/; +$external_latex_labels{$key} = q|31.1.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:ccsd/; +$external_latex_labels{$key} = q|19|; +$noresave{$key} = "$nosave"; + +$key = q/sec:scalar_ecp/; +$external_latex_labels{$key} = q|8.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:vib/; +$external_latex_labels{$key} = q|25|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_point_charge_analysis/; +$external_latex_labels{$key} = q|35.1.6|; +$noresave{$key} = "$nosave"; + +$key = q/sec:python/; +$external_latex_labels{$key} = q|36|; +$noresave{$key} = "$nosave"; + +$key = q/sec:arch/; +$external_latex_labels{$key} = q|3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:cosmo/; +$external_latex_labels{$key} = q|13|; +$noresave{$key} = "$nosave"; + +$key = q/sec:mcscfhessian/; +$external_latex_labels{$key} = q|17.7|; +$noresave{$key} = "$nosave"; + +$key = q/sec:scfgrad/; +$external_latex_labels{$key} = q|10.17|; +$noresave{$key} = "$nosave"; + +$key = q/sec:spinorb_ecp/; +$external_latex_labels{$key} = q|8.2|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_sd/; +$external_latex_labels{$key} = q|35.7|; +$noresave{$key} = "$nosave"; + +$key = q/sec:geomkeys/; +$external_latex_labels{$key} = q|6.1|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdtrj/; +$external_latex_labels{$key} = q|34.9|; +$noresave{$key} = "$nosave"; + +$key = q/sec:printcontrol/; +$external_latex_labels{$key} = q|5.6|; +$noresave{$key} = "$nosave"; + +$key = q/sec:max/; +$external_latex_labels{$key} = q|10.8|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_limits/; +$external_latex_labels{$key} = q|35.12|; +$noresave{$key} = "$nosave"; + +$key = q/sec:etranstol2e/; +$external_latex_labels{$key} = q|27.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_data/; +$external_latex_labels{$key} = q|35.5|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nwanwtop/; +$external_latex_labels{$key} = q|31.5|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdgib/; +$external_latex_labels{$key} = q|34.10|; +$noresave{$key} = "$nosave"; + +$key = q/sec:rimp2/; +$external_latex_labels{$key} = q|16|; +$noresave{$key} = "$nosave"; + +$key = q/sec:formats/; +$external_latex_labels{$key} = q|34|; +$noresave{$key} = "$nosave"; + +$key = q/symexamples/; +$external_latex_labels{$key} = q|C|; +$noresave{$key} = "$nosave"; + +$key = q/sec:dplot/; +$external_latex_labels{$key} = q|26|; +$noresave{$key} = "$nosave"; + +$key = q/sec:toplevel/; +$external_latex_labels{$key} = q|5|; +$noresave{$key} = "$nosave"; + +$key = q/sec:thresh/; +$external_latex_labels{$key} = q|10.7|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdfrg/; +$external_latex_labels{$key} = q|34.1|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:tce-printable/; +$external_latex_labels{$key} = q|15.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:dirs/; +$external_latex_labels{$key} = q|5.2|; +$noresave{$key} = "$nosave"; + +$key = q/sec:realsample/; +$external_latex_labels{$key} = q|2.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:atomscf/; +$external_latex_labels{$key} = q|10.5.2|; +$noresave{$key} = "$nosave"; + +$key = q/sec:interface/; +$external_latex_labels{$key} = q|37|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_dplot/; +$external_latex_labels{$key} = q|35.1.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:Nbofile/; +$external_latex_labels{$key} = q|28.1.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:rel/; +$external_latex_labels{$key} = q|9|; +$noresave{$key} = "$nosave"; + +$key = q/eq:b4/; +$external_latex_labels{$key} = q|35.5|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pyerr/; +$external_latex_labels{$key} = q|36.3.9|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_wannier/; +$external_latex_labels{$key} = q|35.1.4|; +$noresave{$key} = "$nosave"; + +$key = q/sec:persist/; +$external_latex_labels{$key} = q|3.2|; +$noresave{$key} = "$nosave"; + +$key = q/tab:oniom1/; +$external_latex_labels{$key} = q|23.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_unitcell_optimization/; +$external_latex_labels{$key} = q|35.9|; +$noresave{$key} = "$nosave"; + +$key = q/sec:oniomeg3/; +$external_latex_labels{$key} = q|23.6.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:esp/; +$external_latex_labels{$key} = q|29|; +$noresave{$key} = "$nosave"; + +$key = q/sec:scfconv/; +$external_latex_labels{$key} = q|10.12|; +$noresave{$key} = "$nosave"; + +$key = q/sec:set/; +$external_latex_labels{$key} = q|5.7|; +$noresave{$key} = "$nosave"; + +$key = q/sec:oniomeg4/; +$external_latex_labels{$key} = q|23.6.4|; +$noresave{$key} = "$nosave"; + +$key = q/fig:zmat1/; +$external_latex_labels{$key} = q|6.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:constraints/; +$external_latex_labels{$key} = q|6.6|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdrms/; +$external_latex_labels{$key} = q|34.11|; +$noresave{$key} = "$nosave"; + +$key = q/sec:property/; +$external_latex_labels{$key} = q|28|; +$noresave{$key} = "$nosave"; + +$key = q/sec:sample1/; +$external_latex_labels{$key} = q|B.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:DFTsample/; +$external_latex_labels{$key} = q|11.5|; +$noresave{$key} = "$nosave"; + +$key = q/sec:getstart/; +$external_latex_labels{$key} = q|2|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nrswitch/; +$external_latex_labels{$key} = q|10.13|; +$noresave{$key} = "$nosave"; + +$key = q/sec:task/; +$external_latex_labels{$key} = q|5.10|; +$noresave{$key} = "$nosave"; + +$key = q/sec:stepper:backstep/; +$external_latex_labels{$key} = q|21.6|; +$noresave{$key} = "$nosave"; + +$key = q/sec:scan2/; +$external_latex_labels{$key} = q|36.3.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:knownbasis/; +$external_latex_labels{$key} = q|A|; +$noresave{$key} = "$nosave"; + +$key = q/sec:intro/; +$external_latex_labels{$key} = q|1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:inputstructure/; +$external_latex_labels{$key} = q|2.1|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdseg4/; +$external_latex_labels{$key} = q|34.5|; +$noresave{$key} = "$nosave"; + +$key = q/sec:sample2/; +$external_latex_labels{$key} = q|B.2|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdprp/; +$external_latex_labels{$key} = q|34.12|; +$noresave{$key} = "$nosave"; + +$key = q/appendix:b2/; +$external_latex_labels{$key} = q|35.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:cart/; +$external_latex_labels{$key} = q|6.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:tce/; +$external_latex_labels{$key} = q|15|; +$noresave{$key} = "$nosave"; + +$key = q/sec:oniomeg1/; +$external_latex_labels{$key} = q|23.6.1|; +$noresave{$key} = "$nosave"; + +$key = q/mp2:core/; +$external_latex_labels{$key} = q|16.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:constraintsnew/; +$external_latex_labels{$key} = q|22|; +$noresave{$key} = "$nosave"; + +$key = q/sec:etransfock/; +$external_latex_labels{$key} = q|27.2|; +$noresave{$key} = "$nosave"; + +$key = q/eq:b8/; +$external_latex_labels{$key} = q|35.8|; +$noresave{$key} = "$nosave"; + +$key = q/sec:sodft/; +$external_latex_labels{$key} = q|12|; +$noresave{$key} = "$nosave"; + +$key = q/sec:echo/; +$external_latex_labels{$key} = q|5.4|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nwanwsgm/; +$external_latex_labels{$key} = q|31.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_cell/; +$external_latex_labels{$key} = q|35.1.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nwatopology/; +$external_latex_labels{$key} = q|31.1.2|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdseg2/; +$external_latex_labels{$key} = q|34.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:band_tasks/; +$external_latex_labels{$key} = q|35.2|; +$noresave{$key} = "$nosave"; + +$key = q/sec:symgrp/; +$external_latex_labels{$key} = q|6.2|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_v_wavefunction_initializer/; +$external_latex_labels{$key} = q|35.1.11|; +$noresave{$key} = "$nosave"; + +$key = q/fig:zmat2/; +$external_latex_labels{$key} = q|6.2|; +$noresave{$key} = "$nosave"; + +$key = q/sec:Z-matrix/; +$external_latex_labels{$key} = q|6.4|; +$noresave{$key} = "$nosave"; + +$key = q/sec:dyall-mod-dir/; +$external_latex_labels{$key} = q|9.2|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_SIC/; +$external_latex_labels{$key} = q|35.1.5|; +$noresave{$key} = "$nosave"; + +$key = q/sec:driver/; +$external_latex_labels{$key} = q|20|; +$noresave{$key} = "$nosave"; + +$key = q/sec:oniom/; +$external_latex_labels{$key} = q|23|; +$noresave{$key} = "$nosave"; + +$key = q/sec:functionality/; +$external_latex_labels{$key} = q|4|; +$noresave{$key} = "$nosave"; + +$key = q/sec:simplesample/; +$external_latex_labels{$key} = q|2.2|; +$noresave{$key} = "$nosave"; + +$key = q/grgrid/; +$external_latex_labels{$key} = q|11.9|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nwaforcefields/; +$external_latex_labels{$key} = q|31.1.5|; +$noresave{$key} = "$nosave"; + +$key = q/sec:ecp/; +$external_latex_labels{$key} = q|8|; +$noresave{$key} = "$nosave"; + +$key = q/sec:ecce/; +$external_latex_labels{$key} = q|5.12|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_Car-Parrinello/; +$external_latex_labels{$key} = q|35.6|; +$noresave{$key} = "$nosave"; + +$key = q/sec:activeatoms/; +$external_latex_labels{$key} = q|6.6|; +$noresave{$key} = "$nosave"; + +$key = q/sec:douglas-kroll/; +$external_latex_labels{$key} = q|9.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:paw_tutorial/; +$external_latex_labels{$key} = q|35.11|; +$noresave{$key} = "$nosave"; + +$key = q/sec:first_task/; +$external_latex_labels{$key} = q|5.10.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:unset/; +$external_latex_labels{$key} = q|5.8|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_cell_optimization/; +$external_latex_labels{$key} = q|35.1.2|; +$noresave{$key} = "$nosave"; + +$key = q/sec:tddft/; +$external_latex_labels{$key} = q|14|; +$noresave{$key} = "$nosave"; + +$key = q/sec:procgrp/; +$external_latex_labels{$key} = q|D.2|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:tddft-printable/; +$external_latex_labels{$key} = q|14.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:basis/; +$external_latex_labels{$key} = q|7|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nwmd/; +$external_latex_labels{$key} = q|31|; +$noresave{$key} = "$nosave"; + +$key = q/eq:b3/; +$external_latex_labels{$key} = q|35.4|; +$noresave{$key} = "$nosave"; + +$key = q/sec:charge/; +$external_latex_labels{$key} = q|5.11|; +$noresave{$key} = "$nosave"; + +$key = q/sec:paw_tasks/; +$external_latex_labels{$key} = q|35.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:sample/; +$external_latex_labels{$key} = q|B|; +$noresave{$key} = "$nosave"; + +$key = q/sec:mcscf/; +$external_latex_labels{$key} = q|17|; +$noresave{$key} = "$nosave"; + +$key = q/sec:geom/; +$external_latex_labels{$key} = q|6|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdseg6/; +$external_latex_labels{$key} = q|34.7|; +$noresave{$key} = "$nosave"; + +$key = q/tablexc/; +$external_latex_labels{$key} = q|11.1|; +$noresave{$key} = "$nosave"; + +$key = q/selcitab/; +$external_latex_labels{$key} = q|18.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:zcoord/; +$external_latex_labels{$key} = q|6.5|; +$noresave{$key} = "$nosave"; + +$key = q/sec:tolguess/; +$external_latex_labels{$key} = q|10.6|; +$noresave{$key} = "$nosave"; + +$key = q/sec:mcscfvectors/; +$external_latex_labels{$key} = q|17.6|; +$noresave{$key} = "$nosave"; + +$key = q/sec:syntax/; +$external_latex_labels{$key} = q|2.4|; +$noresave{$key} = "$nosave"; + +$key = q/sec:dftconv/; +$external_latex_labels{$key} = q|11.7|; +$noresave{$key} = "$nosave"; + +$key = q/sec:prepare/; +$external_latex_labels{$key} = q|30|; +$noresave{$key} = "$nosave"; + +$key = q/sec:stepper/; +$external_latex_labels{$key} = q|21|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_steepest_descent/; +$external_latex_labels{$key} = q|35.1.13|; +$noresave{$key} = "$nosave"; + +$key = q/sec:latticeparam/; +$external_latex_labels{$key} = q|6.7|; +$noresave{$key} = "$nosave"; + +$key = q/sec:level/; +$external_latex_labels{$key} = q|10.14|; +$noresave{$key} = "$nosave"; + +$key = q/orbloc/; +$external_latex_labels{$key} = q|10.15|; +$noresave{$key} = "$nosave"; + +$key = q/sec:fragguess/; +$external_latex_labels{$key} = q|10.5.1|; +$noresave{$key} = "$nosave"; + +$key = q/smear/; +$external_latex_labels{$key} = q|11.8|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_nose/; +$external_latex_labels{$key} = q|35.6.2|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:mp2-printable/; +$external_latex_labels{$key} = q|16.2|; +$noresave{$key} = "$nosave"; + +$key = q/sec:scf/; +$external_latex_labels{$key} = q|10|; +$noresave{$key} = "$nosave"; + +$key = q/sec:dft/; +$external_latex_labels{$key} = q|11|; +$noresave{$key} = "$nosave"; + +$key = q/sec:vectors/; +$external_latex_labels{$key} = q|10.5|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nbo/; +$external_latex_labels{$key} = q|37.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:adapt/; +$external_latex_labels{$key} = q|10.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_CP/; +$external_latex_labels{$key} = q|35.1.7|; +$noresave{$key} = "$nosave"; + +$key = q/sec:inputsyntax/; +$external_latex_labels{$key} = q|15.4|; +$noresave{$key} = "$nosave"; + +$key = q/sec:database/; +$external_latex_labels{$key} = q|3.1|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdseg3/; +$external_latex_labels{$key} = q|34.4|; +$noresave{$key} = "$nosave"; + +$key = q/sec:etrans/; +$external_latex_labels{$key} = q|27|; +$noresave{$key} = "$nosave"; + +$key = q/sec:nwafilenames/; +$external_latex_labels{$key} = q|31.1.3|; +$noresave{$key} = "$nosave"; + +$key = q/sec:etransvectors/; +$external_latex_labels{$key} = q|27.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_wavefunction_expander/; +$external_latex_labels{$key} = q|35.1.12|; +$noresave{$key} = "$nosave"; + +$key = q/sec:qmmm/; +$external_latex_labels{$key} = q|33|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdseq/; +$external_latex_labels{$key} = q|34.8|; +$noresave{$key} = "$nosave"; + +$key = q/sec:hess/; +$external_latex_labels{$key} = q|24|; +$noresave{$key} = "$nosave"; + +$key = q/tbl:nwmdseg1/; +$external_latex_labels{$key} = q|34.2|; +$noresave{$key} = "$nosave"; + +$key = q/eq:b6/; +$external_latex_labels{$key} = q|35.6|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_cp/; +$external_latex_labels{$key} = q|35.8|; +$noresave{$key} = "$nosave"; + +$key = q/sec:analysis/; +$external_latex_labels{$key} = q|32|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pspw_CP_constraint/; +$external_latex_labels{$key} = q|35.1.8|; +$noresave{$key} = "$nosave"; + +$key = q/sec:start/; +$external_latex_labels{$key} = q|5.1|; +$noresave{$key} = "$nosave"; + +$key = q/sec:pygeom/; +$external_latex_labels{$key} = q|36.3.10|; +$noresave{$key} = "$nosave"; + +$key = q/sec:mp2vectors/; +$external_latex_labels{$key} = q|16.5|; +$noresave{$key} = "$nosave"; + +$key = q/sec:selci/; +$external_latex_labels{$key} = q|18|; +$noresave{$key} = "$nosave"; + +1; + diff --git a/web/doc/user.4.6/next.png b/web/doc/user.4.6/next.png new file mode 100644 index 0000000000..1628652aac Binary files /dev/null and b/web/doc/user.4.6/next.png differ diff --git a/web/doc/user.4.6/next_g.png b/web/doc/user.4.6/next_g.png new file mode 100644 index 0000000000..9d3f59121e Binary files /dev/null and b/web/doc/user.4.6/next_g.png differ diff --git a/web/doc/user.4.6/node1.html b/web/doc/user.4.6/node1.html new file mode 100644 index 0000000000..4c3c5a08e2 --- /dev/null +++ b/web/doc/user.4.6/node1.html @@ -0,0 +1,160 @@ + + + + + +DISCLAIMER + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: Contents + Up: user + Previous: user +   Contents +
+
+ + +

+ DISCLAIMER +

+ +

+This material was prepared as an account of work sponsored by an agency of the +United States Government. Neither the United States Government nor the United +States Department of Energy, nor Battelle, nor any of their employees, MAKES +ANY WARRANTY, EXPRESS OR IMPLIED, OR ASSUMES ANY LEGAL LIABILITY OR +RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR USEFULNESS OF ANY +INFORMATION, APPARATUS, PRODUCT, SOFTWARE, OR PROCESS DISCLOSED, OR REPRESENTS +THAT ITS USE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS. + +

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+This software (including any documentation) is being made available to +you for your internal use only, solely for use in performance of work +directly for the U.S. Federal Government or work under contracts with +the U.S. Department of Energy or other U.S. Federal Government +agencies. This software is a version which has not yet been evaluated +and cleared for commercialization. Adherence to this notice may be +necessary for the author, Battelle Memorial Institute, to successfully +assert copyright in and commercialize this software. This software is +not intended for duplication or distribution to third parties without +the permission of the Manager of Software Products at Pacific +Northwest National Laboratory, Richland, Washington, 99352. + +

+

+ACKNOWLEDGMENT + +
+ +

+This software and its documentation were produced with Government support under +Contract Number DE-AC06-76RLO-1830 awarded by the United States Department of +Energy. The Government retains a paid-up non-exclusive, irrevocable worldwide +license to reproduce, prepare derivative works, perform publicly and display +publicly by or for the Government, including the right to distribute to other +Government contractors. + +

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+AUTHOR DISCLAIMER + +
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+This software contains proprietary information of the authors, Pacific +Northwest National Laboratory (PNNL), and the US Department of Energy (USDOE). +The information herein shall not be disclosed to others, and shall not +be reproduced whole or in part, without written permission from PNNL or +USDOE. The information contained in this document is provided ``AS +IS'' without guarantee of accuracy. Use of this software is +prohibited without written permission from PNNL or USDOE. The +authors, PNNL, and USDOE make no representations or warranties +whatsoever with respect to this software, including the implied +warranty of merchant-ability or fitness for a particular purpose. The +user assumes all risks, including consequential loss or damage, in +respect to the use of the software. In addition, PNNL and the authors +shall not be obligated to correct or maintain the program, or notify +the user community of modifications or updates that will be made over +the course of time. + +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: Contents + Up: user + Previous: user +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node10.html b/web/doc/user.4.6/node10.html new file mode 100644 index 0000000000..d47dc5e5e6 --- /dev/null +++ b/web/doc/user.4.6/node10.html @@ -0,0 +1,550 @@ + + + + + +8. Effective Core Potentials + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 9. Relativistic All-electron Approximations + Up: user + Previous: 7. Basis sets +   Contents +
+
+ + +Subsections + + + +
+ +

+8. Effective Core Potentials +

+ +Effective core potentials (ECPs) are a useful means of replacing the core +electrons in a calculation with an effective potential, thereby eliminating +the need for the core basis functions, which usually require a large set of +Gaussians to describe them. In addition to replacing the core, they may be +used to represent relativistic effects, which are largely confined to the +core. In this context, both the scalar (spin-free) relativistic effects and +spin-orbit (spin-dependent) relativistic effects may be included in +effective potentials. NWChem has the facility to use both, and these are +described in the next two sections. + +

+A brief recapitulation of the development of RECPs is given here, following +Pacios and Christiansen8.1. The process can be viewed as starting +from an atomic Dirac-Hartree-Fock calculation, done in jj coupling, +and producing relativistic effective potentials (REPs) for each $l$ and +$j$ value, +$U^{\rm REP}_{lj}$. From these, a local potential is +extracted, which for example contains the Coulomb potential of the core +electrons balanced by the part of the nuclear attraction which cancels the +core electron charge. The residue is expressed in a semi-local form, +
+

+ + + + + +
\begin{displaymath}
+U^{\rm REP} = U^{\rm REP}_{LJ}(r) + \sum_{l=0}^{L-1}
+\sum_{j...
+...}_{LJ}(r) \right] \sum_m \vert lj m \rangle \langle lj m \vert
+\end{displaymath} +(8.1)
+

+where $L$ is one larger than the maximum angular momentum in the atom. +The scalar potential is obtained by averaging the REPs for each $j$ for a +given $l$ to give an averaged relativistic effective potential, or AREP, +
+
+ + + + + +
\begin{displaymath}
+U^{\rm AREP}_l(r) = \frac{1}{2l+1} \left[ lU^{\rm REP}_{l-1/2}(r)
++ (l+1) U^{\rm REP}_{l+1/2}(r) \right].
+\end{displaymath} +(8.2)
+

+These are summed into the full potential. + +

+The spin-orbit potential is obtained from the difference between the REPs +for the two $j$ values for a given l, and may be +represented in terms of an effective spin-orbit operator, +
+

+ + + + + +
\begin{displaymath}
+H^{\rm SO} = {\bf s} \cdot \sum_{l=1}^{L-1} \frac{2}{2l+1}
+...
+...le \langle lm \vert \hat l\vert lm' \rangle \langle lm' \vert.
+\end{displaymath} +(8.3)
+

+where +
+
+ + + + + +
\begin{displaymath}
+\Delta U^{\rm REP}_{l} = U^{\rm REP}_{l+1/2}(r)
+- U^{\rm REP}_{l-1/2}(r).
+\end{displaymath} +(8.4)
+

+The spin-orbit integrals generated by NWChem are the integrals over the sum, +including the factor of $2/(2l+1)$, so that they may be treated as an +effective spin-orbit operator without further factors introduced. + +

+The effective potentials, both scalar and spin-orbit, are fitted to +Gaussians with the form +

+
+ + +\begin{displaymath}
+r^2U_l(r) = \sum_{k} A_{lk} r^{n_{lk}} e^{-B_{lk}r^{2}}
+\end{displaymath} +
+
+

+where $A_{lk}$ is the contraction coefficient, $n_{lk}$ is the +exponent of the ``r'' term (r-exponent), and $B_{lk}$ is the Gaussian +exponent. The $n_{lk}$ is shifted by 2, in accordance with most of the ECP +literature and implementations, i.e., an $n_{lk} = 0$ implies +$r^{-2}$. The current implementation allows $n_{lk}$ values +of only 0, 1, or 2. + +

+ +

+ +
+8.1 Scalar ECPs +

+ +

+The optional directive ECP allows the user to describe an effective core +potential (ECP) in terms of contracted Gaussian functions as given above. +Potentials using these functions must be specified explicitly by user input +in the ECP directive. This directive has essentially the same form +and properties as the standard BASIS directive, except for essential +differences required for ECPs. Because of this, the ECP is treated +internally as a basis set. The form of the input for the +ECP directive is as follows: + +

+

+  ECP [<string name default "ecp basis">] \
+        [print || noprint default print]
+
+     <string tag> library [<string tag_in_lib>] \
+                  <string standard_set> [file <filename>] \
+                  [except <string tag list>]
+
+     <string tag> [nelec] <integer number_of_electrons_replaced>
+ 
+        ...
+
+     <string tag> <string shell_type>
+     <real r-exponent> <real Gaussian-exponent> <real list_of_coefficients>
+        ...
+     
+  END
+
+ +

+ECPs are automatically segmented, even if general contractions are input. +The projection operators defined in an ECP are spherical by default, so +there is no need to include the CARTESIAN or SPHERICAL keyword +as there is for a standard basis set. ECPs are associated with centers in +geometries through tags or names of centers. These tags must match in the +same manner as for basis sets the tags in a GEOMETRY and +ECP directives, and are limited to sixteen (16) characters. +Each center with the same tag will have the same ECP. By default, the +input module prints each ECP that it encounters. The NOPRINT +option can be used to disable printing. There can be only one active +ECP, even though several may exist in the input deck. The ECP modules +load ``ecp basis'' inputs along with any ``ao basis'' inputs present. +ECPs may be used in both energy and gradient calculations. + +

+ECPs are named in the same fashion as geometries or regular basis +sets, with the default name being "ecp basis". It should be +clear from the above discussion on geometries and database entries how +indirection is supported. All directives that are in common with the +standard Gaussian basis set input have the same function and syntax. + +

+As for regular basis sets, ECPs may be obtained from the standard library. +The names of the sets of ECPs available in the standard +library (their coverage is described in Appendix A) are + +

    +
  • "Hay-Wadt MB (n+1) ECP" +
  • +
  • "Hay-Wadt VDZ (n+1) ECP" +
  • +
  • "LANL2DZ ECP" +
  • +
  • "SBKJC VDZ ECP" +
  • +
  • "Stuttgart RLC ECP" +
  • +
  • "Stuttgart RSC ECP" +
  • +
  • "CRENBL ECP" +
  • +
  • "CRENBS ECP" +
  • +
+ +

+The keyword nelec allows the user to specify the number of core +electrons replaced by the ECP. Additional input lines define the +specific coefficients and exponents. The variable <shell_type> +is used to specify the components of the ECP. The keyword ul +entered for <shell_type> denotes the local part of the ECP. +This is equivalent to the highest angular momentum functions specified +in the literature for most ECPs. The standard entries (s, p, d, +etc.) for shell_type specify the angular momentum projector +onto the local function. The shell type label of s indicates +the ul-s projector input, p indicates the ul-p, +etc. + +

+For example, the Christiansen, Ross and Ermler ARECPs are available in +the standard basis set libary named {crenbl_ecp}. To perform a +calculation on uranyl (UO$_2^{2+}$) with all-electron oxygen +(aug-cc-pvdz basis), and uranium with an ARECP and using the +corresponding basis the following input can be used +

+  geometry
+    U 0 0  0
+    O 0 0  1.65
+    O 0 0 -1.65
+  end
+  basis 
+    U library crenbl_ecp
+    O library aug-cc-pvdz
+  end
+  ecp
+    U library crenbl_ecp
+  end
+
+ +

+The following is an example of explicit input of an ECP for H$_2$CO. +It defines an ECP for the carbon and oxygen atoms in the molecule. + +

+

+  ecp
+    C nelec 2 # ecp replaces 2 electrons on C
+    C ul      # d
+            1       80.0000000       -1.60000000
+            1       30.0000000       -0.40000000
+            2        0.5498205       -0.03990210
+   C s        # s - d 
+            0        0.7374760        0.63810832
+            0      135.2354832       11.00916230
+            2        8.5605569       20.13797020
+    C p       # p - d
+            2       10.6863587       -3.24684280
+            2       23.4979897        0.78505765
+    O nelec 2 # ecp replaces 2 electrons on O
+    O ul      # d 
+            1       80.0000000       -1.60000000
+            1       30.0000000       -0.40000000
+            2        1.0953760       -0.06623814
+    O s       # s - d
+            0        0.9212952        0.39552179
+            0       28.6481971        2.51654843
+            2        9.3033500       17.04478500
+    O p       # p - s 
+            2       52.3427019       27.97790770
+            2       30.7220233      -16.49630500
+  end
+
+ +

+ +

+ +
+8.2 Spin-orbit ECPs +

+ +

+The Spin-orbit ECPs can be used with the Density Functional Approach, but +one has to run the calculations without symmetry. Note: when a Hartree-Fock +method is specified the spin-orbit input will be ignored. + +

+Spin-orbit ECPs are fitted in precisely the same functional form as the +scalar RECPs and have the same properties, with the exception that there is +no local potential ul, no $s$ potential and no effective charge has to be +defined. Spin-orbit potentials are +specified in the same way as ECPs except that the directive SO is +used instead of ECP. Note that there currently are no spin-orbit +ECPs defined in the standard NWChem library. The SO +directive is as follows: + +

+

+  SO [<string name default "so basis">] \
+        [print || noprint default print]
+
+     <string tag> library [<string tag_in_lib>] \
+                  <string standard_set> [file <filename>]
+                  [except <string tag list>]
+        ...
+
+     <string tag> <string shell_type>
+     <real r-exponent> <real Gaussian-exponent> <real list_of_coefficients>
+        ...
+     
+  END
+
+ +

+Note: in the literature the coefficients of the spin-orbit potentials are NOT +always defined in the same manner. The NWChem code assumes that the spin-orbit +potential defined in the input is of the form: +
+

+ + + + + +
\begin{displaymath}
+\Delta U^{\rm NWChem}_{l} = \frac{2}{2l+1} \Delta U_{l}
+\end{displaymath} +(8.5)
+

+For example, in the literature the Stuttgart potentials are defined as +$\Delta U_{l}$ and, hence, have to be multiplied by $2/(2{l}+1)$. On the +other hand, the CRENBL potentials in the published papers are defined as + +$\frac{l}{2l+1} \Delta U_{l}$ and, hence, have to be multiplied by +$2/{l}$ (Warning: on the CRENBL website the spin-orbit potentials already +have been corrected with the $2/{l}$ factor). + +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 9. Relativistic All-electron Approximations + Up: user + Previous: 7. Basis sets +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node11.html b/web/doc/user.4.6/node11.html new file mode 100644 index 0000000000..9c2c21d3e9 --- /dev/null +++ b/web/doc/user.4.6/node11.html @@ -0,0 +1,474 @@ + + + + + +9. Relativistic All-electron Approximations + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 10. Hartree-Fock or Self-consistent + Up: user + Previous: 8. Effective Core Potentials +   Contents +
+
+ + +Subsections + + + +
+ +

+9. Relativistic All-electron Approximations +

+All methods which include treatment of relativistic effects are ultimately +based on the Dirac equation, which has a four component wave function. The +solutions to the Dirac equation describe both positrons (the ``negative +energy'' states) and electrons (the ``positive energy'' states), as well as +both spin orientations, hence the four components. The wave function may be +broken down into two-component functions traditionally known as the large +and small components; these may further be broken down into the spin +components. + +

+The implementation of approximate all-electron relativistic methods in +quantum chemical codes requires the removal of the negative energy states +and the factoring out of the spin-free terms. Both of these may be achieved +using a transformation of the Dirac Hamiltonian known in general as a +Foldy-Wouthuysen transformation. Unfortunately this transformation cannot be +represented in closed form for a general potential, and must be +approximated. One popular approach is that originally formulated by Douglas +and Kroll9.1 and developed by Hess9.2. This approach decouples the positive and +negative energy parts to second order in the external potential (and also +fourth order in the fine structure constant, $\alpha$). Another approach is +based on a modification of the Dirac equation by Dyall9.3, and involves an exact FW +transformation on the atomic basis set level9.4. + +

+Since these approximations only modify the integrals, they can in principle +be used at all levels of theory. At present the Douglas-Kroll implementation +can be used at all levels of theory whereas Dyall's approach is currently +available at the Hartree-Fock level. +The derivatives have been implemented, allowing both methods to be used in +geometry optimizations and frequency calculations. + +

+The RELATIVISTIC directive provides input for the implemented relativistic +approximations and is a compound directive that encloses additional directives +specific to the approximations: +

+  RELATIVISTIC
+   [DOUGLAS-KROLL [<string (ON||OFF) default ON> \
+                 <string (FPP||DKH||DKFULL||DK3||DK3FULL) default DKH>]  ||
+    DYALL-MOD-DIRAC [ (ON || OFF) default ON ] 
+                  [ (NESC1E || NESC2E) default NESC1E ] ]
+   [CLIGHT <real clight default 137.0359895>]
+  END
+
+ +

+Only one of the methods may be chosen at a time. If both methods are found +to be on in the input block, NWChem will stop and print an error message. +There is one general option for both methods, the definition of the speed +of light in atomic units: + +

+

+  CLIGHT <real clight default 137.0359895>
+
+ +

+The following sections describe the optional sub-directives that +can be specified within the RELATIVISTIC block. + +

+ +

+ +
+9.1 Douglas-Kroll approximation +

+ +

+The (spin-free) one-electron Douglas-Kroll approximation has been +implemented. The use of relativistic effects from this Douglas-Kroll +approximation can be invoked by specifying: + +

+

+  DOUGLAS-KROLL [<string (ON||OFF) default ON> \
+                 <string (FPP||DKH||DKFULL|DK3|DK3FULL) default DKH>]
+
+ +

+The ON|OFF string is used to turn on or off the +Douglas-Kroll approximation. By default, if the DOUGLAS-KROLL +keyword is found, the approximation will be used in the calculation. +If the user wishes to calculate a non-relativistic quantity after turning +on Douglas-Kroll, the user will need to define a new RELATIVISTIC +block and turn the approximation OFF. The user could also simply +put a blank RELATIVISTIC block in the input file and all options +will be turned off. + +

+The FPP is the approximation based on free-particle projection +operators9.5 whereas the +DKH and DKFULL approximations are based on external-field +projection operators9.6. +The latter two are considerably better approximations than the former. DKH +is the Douglas-Kroll-Hess approach and is the approach that is generally +implemented in quantum chemistry codes. DKFULL includes certain +cross-product integral terms ignored in the DKH approach (see for example +Häberlen and Rösch9.7). The third-order Douglas-Kroll +approximation has been implemented by T. Nakajima and K. Hirao9.8. This approximation can be called using +DK3 (DK3 without cross-product integral terms) or DK3FULL (DK3 with +cross-product integral terms). + +

+The contracted basis sets used in the calculations should reflect the relativistic +effects, i.e. one should use contracted basis sets which were generated using the +Douglas-Kroll Hamiltonian. Basis sets that were contracted using the +non-relativistic (Schödinger) Hamiltonian WILL PRODUCE ERRONEOUS RESULTS for +elements beyond the first row. See appendix A for available +basis sets and their naming convention. + +

+NOTE: we suggest that spherical basis sets are used in the calculation. The use of +high quality cartesian basis sets can lead to numerical inaccuracies. + +

+In order to compute the integrals needed for the Douglas-Kroll approximation +the implementation makes use of a fitting basis set (see literature given +above for details). The current code will create this fitting basis set +based on the given "ao basis" by simply uncontracting that basis. This +again is what is commonly implemented in quantum chemistry codes that +include the Douglas-Kroll method. Additional flexibility is available to +the user by explicitly specifying a Douglas-Kroll fitting basis +set. This basis set must be named "D-K basis" (see Chapter +7). + +

+ +

+ +
+9.2 Dyall's Modified Dirac Hamitonian approximation +

+ +

+The approximate methods described in this section are all based on Dyall's +modified Dirac Hamiltonian. This Hamiltonian is entirely equivalent to the +original Dirac Hamiltonian, and its solutions have the same properties. +The modification is achieved by a transformation on the small component, +extracting out +$\sigma\cdot{\bf p}/2mc$. This gives the modified small +component the same symmetry as the large component, and in fact it differs +from the large component only at order $\alpha^2$. The advantage of the +modification is that the operators now resemble the operators of the +Breit-Pauli Hamiltonian, and can be classified in a similar fashion into +spin-free, spin-orbit and spin-spin terms. It is the spin-free terms which +have been implemented in NWChem, with a number of further approximations. + +

+The first is that the negative energy states are removed by a normalized +elimination of the small component (NESC), which is equivalent to an exact +Foldy-Wouthuysen (EFW) transformation. The number of components in the wave +function is thereby effectively reduced from 4 to 2. NESC on its own does +not provide any advantages, and in fact complicates things because the +transformation is energy-dependent. The second approximation therefore +performs the elimination on an atom-by-atom basis, which is equivalent to +neglecting blocks which couple different atoms in the EFW transformation. +The advantage of this approximation is that all the energy dependence can be +included in the contraction coefficients of the basis set. The tests which +have been done show that this approximation gives results well within +chemical accuracy. The third approximation neglects the commutator of the +EFW transformation with the two-electron Coulomb interaction, so that the +only corrections that need to be made are in the one-electron integrals. +This is the equivalent of the Douglas-Kroll(-Hess) approximation as it is +usually applied. + +

+The use of these approximations can be invoked with the use of the +DYALL-MOD-DIRAC directive in the RELATIVISTIC directive block. +The syntax is as follows. + +

+

+  DYALL-MOD-DIRAC [ (ON || OFF) default ON ] 
+                  [ (NESC1E || NESC2E) default NESC1E ]
+
+ +

+The ON|OFF string is used to turn on or off the +Dyall's modified Dirac approximation. By default, if the DYALL-MOD-DIRAC +keyword is found, the approximation will be used in the calculation. +If the user wishes to calculate a non-relativistic quantity after turning +on Dyall's modified Dirac, the user will need to define a new +RELATIVISTIC +block and turn the approximation OFF. The user could also simply +put a blank RELATIVISTIC block in the input file and all options +will be turned off. + +

+Both one- and two-electron approximations are available +NESC1E || NESC2E, and both have +analytic gradients. The one-electron approximation is the default. +The two-electron approximation specified by NESC2E has some sub +options which are placed on the same logical line as the +DYALL-MOD-DIRAC directive, with the following syntax: + +

+

+  NESC2E [ (SS1CENT [ (ON || OFF) default ON ] || SSALL) default SSALL ]
+         [ (SSSS [ (ON || OFF) default ON ] || NOSSSS) default SSSS ]
+
+ +

+The first sub-option gives the capability to limit the two-electron +corrections to those in which the small components in any density must be on +the same center. This reduces the $(LL\vert SS)$ contributions to at most +three-center integrals and the $(SS\vert SS)$ contributions to two centers. For a +case with only one relativistic atom this option is redundant. The second +controls the inclusion of the $(SS\vert SS)$ integrals which are of order +$\alpha^4$. For light atoms they may safely be neglected, but for heavy +atoms they should be included. + +

+In addition to the selection of this keyword in the RELATIVISTIC +directive block, it is necessary to supply basis sets in addition to the +ao basis. For the one-electron approximation, three basis sets are +needed: the atomic FW basis set, the large component basis set and the small +component basis set. The atomic FW basis set should be included in the +ao basis. +The large and small components should similarly be incorporated +in basis sets named large component and small component, +respectively. For the two-electron approximation, only two basis sets are +needed. These are the large component and the small component. The large component +should be included in the ao basis and the small component +is specified separately as small component, as for the one-electron +approximation. This means that the two approximations can not be run +correctly without changing the ao basis, and it is up to the user to +ensure that the basis sets are correctly specified. + +

+There is one further requirement in the specification of the basis sets. In +the ao basis, it is necessary to add the rel keyword either to the +basis directive or the library tag line (See below for examples). +The former marks the basis +functions specified by the tag as relativistic, the latter marks the whole +basis as relativistic. The marking is actually done at the unique shell +level, so that it is possible not only to have relativistic and +nonrelativistic atoms, it is also possible to have relativistic and +nonrelativistic shells on a given atom. This would be useful, for example, +for diffuse functions or for high angular momentum correlating functions, +where the influence of relativity was small. The marking of shells as +relativistic is necessary to set up a mapping between the ao basis and the +large and/or small component basis sets. For the one-electron approximation +the large and small component basis sets MUST be of the same size and +construction, i.e. differing only in the contraction coefficients. + +

+It should also be noted that the relativistic code will NOT work with basis +sets that contain sp shells, nor will it work with ECPs. Both of these are +tested and flagged as an error. + +

+Some examples follow. The first example sets up the data for relativistic +calculations on water with the one-electron approximation and the +two-electron approximation, using the library basis sets. + +

+

+  start h2o-dmd
+
+  geometry units bohr
+  symmetry c2v
+    O       0.000000000    0.000000000   -0.009000000
+    H       1.515260000    0.000000000   -1.058900000
+    H      -1.515260000    0.000000000   -1.058900000
+  end
+
+  basis "fw" rel
+    oxygen library cc-pvdz_pt_sf_fw
+    hydrogen library cc-pvdz_pt_sf_fw
+  end
+
+  basis "large"
+    oxygen library cc-pvdz_pt_sf_lc
+    hydrogen library cc-pvdz_pt_sf_lc
+  end
+
+  basis "large2" rel
+    oxygen library cc-pvdz_pt_sf_lc
+    hydrogen library cc-pvdz_pt_sf_lc
+  end
+
+  basis "small"
+    oxygen library cc-pvdz_pt_sf_sc
+    hydrogen library cc-pvdz_pt_sf_sc
+  end
+
+  set "ao basis" fw
+  set "large component" large
+  set "small component" small
+
+  relativistic
+    dyall-mod-dirac
+  end
+
+  task scf
+
+  set "ao basis" large2
+  unset "large component"
+  set "small component" small
+
+  relativistic
+    dyall-mod-dirac nesc2e
+  end
+
+  task scf
+
+ +

+The second example has oxygen as a relativistic atom and hydrogen nonrelativistic. + +

+

+  start h2o-dmd2
+
+  geometry units bohr
+  symmetry c2v
+    O       0.000000000    0.000000000   -0.009000000
+    H       1.515260000    0.000000000   -1.058900000
+    H      -1.515260000    0.000000000   -1.058900000
+  end
+
+  basis "ao basis"
+    oxygen library cc-pvdz_pt_sf_fw rel
+    hydrogen library cc-pvdz
+  end
+
+  basis "large component"
+    oxygen library cc-pvdz_pt_sf_lc
+  end
+
+  basis "small component"
+    oxygen library cc-pvdz_pt_sf_sc
+  end
+
+  relativistic
+    dyall-mod-dirac
+  end
+
+  task scf
+
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 10. Hartree-Fock or Self-consistent + Up: user + Previous: 8. Effective Core Potentials +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node12.html b/web/doc/user.4.6/node12.html new file mode 100644 index 0000000000..c9d21c8f57 --- /dev/null +++ b/web/doc/user.4.6/node12.html @@ -0,0 +1,1870 @@ + + + + + +10. Hartree-Fock or Self-consistent Field + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 11. DFT for Molecules + Up: user + Previous: 9. Relativistic All-electron Approximations +   Contents +
+
+ + +Subsections + + + +
+ +

+ + +
+10. Hartree-Fock or Self-consistent Field +

+ +

+The NWChem self-consistent field (SCF) module computes closed-shell +restricted Hartree-Fock (RHF) wavefunctions, restricted high-spin +open-shell Hartree-Fock (ROHF) wavefunctions, and spin-unrestricted +Hartree-Fock (UHF) wavefunctions. + +

+The SCF directive provides input to the SCF module and is a +compound directive that encloses additional directives specific to the +SCF module: +

+  SCF
+    ...
+  END
+
+ +

+ +

+10.1 Wavefunction type +

+ +

+A spin-restricted, closed shell RHF calculation is performed by +default. An error results if the number of electrons is inconsistent +with this assumption. The number of electrons is inferred from the +total charge on the system and the sum of the effective nuclear +charges of all centers (atoms and dummy atoms, Section +6). The total charge on the system is zero by default, +unless specified at some value by input on the CHARGE directive +(Section 5). + +

+The options available to define the SCF wavefunction and multiplicity +are as follows: + +

+

+  SINGLET 
+  DOUBLET 
+  TRIPLET 
+  QUARTET 
+  QUINTET 
+  SEXTET
+  SEPTET
+  OCTET
+  NOPEN <integer nopen default 0>
+  RHF
+  ROHF
+  UHF
+
+ +

+The optional keywords SINGLET, DOUBLET, ..., +OCTET and NOPEN allow the user to specify the number of +singly occupied orbitals for a particular calculation. SINGLET +is the default, and specifies a closed shell; DOUBLET specifies +one singly occupied orbital; TRIPLET specifies two singly +occupied orbitals; and so forth. If there are more than seven singly +occupied orbitals, the keyword NOPEN must be used, with the +integer nopen defining the number of singly occupied +orbitals (sometimes referred to as open shells). + +

+If the multiplicity is any value other than SINGLET, the +default calculation will be a spin-restricted, high-spin, open-shell +SCF calculation (keyword ROHF). The open-shell orbitals must be the +highest occupied orbitals. If necessary, any starting vectors may be +rearranged through the use of the SWAP keyword on the +VECTORS directive (see Section 10.5) to accomplish +this. + +

+A spin-unrestricted solution can also be performed by specifying the +keyword UHF. In UHF calculations, it is assumed that the +number of singly occupied orbitals corresponds to the difference +between the number of alpha-spin and beta-spin orbitals. For example, +a UHF calculation with 2 more alpha-spin orbitals than beta-spin +orbitals can be obtained by specifying + +

+

+  scf
+     triplet ; uhf    # (Note: two logical lines of input)
+     ...
+  end
+
+ +

+The user should be aware that, by default, molecular orbitals are +symmetry adapted in NWChem. This may not be desirable for fully +unrestricted wavefunctions. In such cases, the user has the option of +defeating the defaults by specifying the keywords ADAPT OFF +(see Section 10.3) and SYM OFF (see Section +10.2). + +

+The keywords RHF and ROHF are provided in the code for +completeness. It may be necessary to specify these in order to modify +the behavior of a previous calculation (see Section 3.2 +for restart behavior). + +

+ +

+ +
+10.2 SYM -- use of symmetry +

+ +

+

+   SYM <string (ON||OFF) default ON>
+
+ +

+This directive enables/disables the use of symmetry to speed up Fock matrix +construction (via the petite-list or skeleton algorithm) in the SCF, if +symmetry was used in the specification of the geometry. Symmetry +adaptation of the molecular orbitals is not affected by this option. +The default is to use symmetry if it is specified in the geometry +directive (Section 6). + +

+For example, to disable use of symmetry in Fock matrix construction: +

+  sym off
+
+ +

+ +

+ +
+10.3 ADAPT - symmetry adaptation of MOs +

+ +

+

+  ADAPT <string (ON||OFF) default ON>
+
+ +

+The default in the SCF module calculation is to force symmetry +adaption of the molecular orbitals. This does not affect the speed of +the calculation, but without explicit adaption the resulting orbitals +may be symmetry contaminated for some problems. This is especially +likely if the calculation is started using orbitals from a distorted +geometry. + +

+The underlying assumption in the use of symmetry in Fock matrix +construction is that the density is totally symmetric. If the orbitals +are symmetry contaminated, this assumption may not be valid -- which +could result in incorrect energies and poor convergence of the +calculation. It is thus advisable when specifying ADAPT OFF to +also specify SYM OFF (Section 10.2). + +

+ +

+ +
+10.4 TOL2E -- integral screening threshold +

+ +

+

+  TOL2E <real tol2e default min(10e-7 , 0.01*$thresh$)>
+
+ +

+The variable tol2e is used in determining the integral +screening threshold for the evaluation of the energy and related +Fock-like matrices. The Schwarz inequality is used to screen the +product of integrals and density matrices in a manner that results in +an accuracy in the energy and Fock matrices that approximates the +value specified for tol2e. + +

+It is generally not necessary to set this parameter directly. Specify +instead the required precision in the wavefunction, using the +THRESH directive (Section 10.7). The default +threshold is the minimum of $10^{-7}$ and 0.01 times the requested +convergence threshold for the SCF calculation (Section +10.7). + +

+The input to specify the threshold explicitly within the SCF +directive is, for example: + +

+

+  tol2e 1e-9
+
+ +

+For very diffuse basis sets, or for high-accuracy calculations it +might be necessary to set this parameter. A value of $10^{-12}$ is +sufficient for nearly all such purposes. + +

+ +

+ +
+10.5 VECTORS -- input/output of MO vectors +

+ +

+

+  VECTORS [[input] (<string input_movecs default atomic>) || \
+                   (project <string basisname> <string filename>) || \
+                   (fragment <string file1> [<string file2> ...])] \
+          [swap [alpha||beta] <integer vec1 vec2> ...] \
+          [reorder <integer atom1 atom2> ...] \
+          [output <string output_filename default input_movecs>] \
+          [lock]
+          [rotate  <string input_geometry> <string input_movecs>]
+
+ +

+The VECTORS directive allows the user to specify the source and +destination of the molecular orbital vectors. In a startup +calculation (see Section 5.1), the default source for +guess vectors is a diagonalized Fock matrix constructed from a +superposition of the atomic density matrices for the particular +problem. This is usually a very good guess. For a restarted +calculation, the default is to use the previous MO vectors. + +

+The optional keyword INPUT allows the user to specify the +source of the input molecular orbital vectors as any of the following: + +

    +
  • ATOMIC -- eigenvectors of a Fock-like matrix formed from + a superposition of the atomic densities (the default guess). See + Sections 10.5.2 and 10.6. +
  • +
  • HCORE -- eigenvectors of the bare-nucleus Hamiltonian or + the one-electron Hamiltonian. +
  • +
  • filename -- the name of a file containing the MO vectors + from a previous calculation. Note that unless the path is fully + qualified, or begins with a dot (``.''), then it is assumed to + reside in the directory for permanent files (see Section + 5.2). +
  • +
  • PROJECT basisname filename -- projects the existing MO + vectors in the file filename from the smaller basis with name + basisname into the current basis. The definition of the + basis basisname must be available in the current database, + and the basis must be smaller than the current basis. In addition, + the geometry used for the previous calculations must have the atoms + in the same order and in the same orientation as the current + geometry. +
  • +
  • FRAGMENT file1 ... -- assembles starting MO vectors from + previously performed calculations on fragments of the system and is + described in more detail in Section 10.5.1. Even + though there are some significant restrictions in the use of the + initial implementation of this method (see Section + 10.5.1), this is the most powerful initial guess option + within the code. It is particularly indispensable for open shell + metallic systems. +
  • +
  • ROTATE input_geometry input_movecs -- rotates + MO vectors generated at a previous geometry + to the current active geometry. +
  • +
+ +

+The molecular orbitals are saved every iteration if more than 600 +seconds have elapsed, and also at the end of the calculation. At +completion (converged or not), the SCF module always canonically +transforms the molecular orbitals by separately diagonalizing +the closed-closed, open-open, and virtual-virtual blocks of the +Fock matrix. + +

+The name of the file used to store the MO vectors is determined as +follows: + +

    +
  • if the OUTPUT keyword was specified on the VECTORS + directive, then the filename that follows this keyword is used, or +
  • +
  • if the input vectors were read from a file, this file is reused + for the output vectors (overwriting the input vectors); else, +
  • +
  • a default file name is generated in the directory for permanent + files (Section 5.2) by prepending ".movecs" with + the file prefix, i.e., "<file_prefix>.movecs". +
  • +
+The name of this file is stored in the database so that a subsequent +SCF calculation will automatically restart from these MO vectors. + +

+Applications of this directive are illustrated in the following +examples. + +

+Example 1: +

+  vectors output h2o.movecs
+
+Assuming a start-up calculation, this directive will result in use of +the default atomic density guess, and will output the vectors to the +file h2o.movecs. + +

+Example 2: +

+  vectors input initial.movecs output final.movecs
+
+This directive will result in the initial vectors being read from the +file "initial.movecs". The results will be written to the file +final.movecs. The contents of "initial.movecs" will not +be changed. + +

+Example 3: +

+  vectors input project "small basis" small.movecs
+
+This directive will cause the calculation to start from vectors in the +file "small.movecs" which are in a basis named "small basis". +The output vectors will be written to the default file +"<file_prefix.movecs>". + +

+Once starting vectors have been obtained using any of the possible +options, they may be reordered through use of the SWAP keyword. +This optional keyword requires a list of orbital pairs that will be +swapped. For UHF calculations, separate SWAP keywords may be +provided for the alpha and beta orbitals, as necessary. + +

+An example of use of the SWAP directive: +

+  vectors input try1.movecs swap 173 175 174 176 output try2.movecs
+
+This directive will cause the initial orbitals to be read from the +file "try1.movecs". The vectors for the orbitals within the +pairs 173-175 will be swapped with those within 174-176, so the +resulting order is 175, 176, 173, 174. The final orbitals obtained in +the calculation will be written to the file "try2.movecs". + +

+The swapping of orbitals occurs as a sequential process in the order +(left to right) input by the user. Thus, regarding each pair as an +elementary transposition it is possible to construct arbitrary +permutations of the orbitals. For instance, to apply the permutation +$(6 7 8 9)$10.1 we note that this +permutation is equal to +$(6 7)(7 8)(8 9)$, and thus may be specified +as +

+  vectors swap 8 9  7 8  6 7
+
+ +

+Another example, now illustrating this feature for a UHF calculation, +is the directive +

+  vectors swap beta 4 5 swap alpha 5 6
+
+This input will result in the swapping of the 5-6 alpha orbital pair +and the 4-5 beta orbital pair. (All other items in the input use the +default values.) + +

+The LOCK keyword allows the user to specify that the ordering +of orbitals will be locked to that of the initial vectors, insofar as +possible. The default is to order by ascending orbital energies within +each orbital space. One application where locking might be desirable +is a calculation where it is necessary to preserve the ordering of a +previous geometry, despite flipping of the orbital energies. For such +a case, the LOCK directive can be used to prevent the SCF +calculation from changing the ordering, even if the orbital energies +change. + +

+The mapping of the MO's to the nuclei can be changed using the REORDER keyword. +Once starting vectors have been obtained using any of the possible +options, the REORDER keyword moves the MO coefficients between atoms +listed in the integer list. This keyword is particularly useful for calculating localized +electron and hole states. + +

+This optional keyword requires a list containing the new atom ordering. +It is not necessary to provide separate lists for alpha and +beta orbitals. + +

+An example of use of the REORDER keyword: +

+  vectors input try1.movecs reorder 2 1 output try2.movecs
+
+This directive will cause the initial orbitals to be read from the +file "try1.movecs". The MO coefficients for the basis functions +on atom 2 +will be swapped with those on atom 1. +The final orbitals obtained in +the calculation will be written to the file "try2.movecs". + +

+The following example shows how the ROTATE keyword can be used to rotate +MO vectors calculated at geometry geom1 to geometry geom2, which has a +different rotational orientation: + +

+

+set geometry geom1
+dft
+ vectors input atomic output geom1.mo
+end
+task dft
+
+set geometry geom2
+dft
+ vectors input rotate geom1 geom1.mo output geom2.mo
+end
+task dft
+
+

+ +
+10.5.1 Superposition of fragment molecular orbitals +

+ +

+The fragment initial guess is particularly useful in the following +instances: + +

    +
  • The system naturally decomposes into molecules that can be + treated individually, e.g., a cluster. +
  • +
  • One or more fragments are particularly hard to converge and + therefore much time can be saved by converging them independently. +
  • +
  • A fragment (e.g., a metal atom) must be prepared with a specific + occupation. This can often be readily accomplished with a + calculation on the fragment using dummy charges to model a ligand + field. +
  • +
  • The molecular occupation predicted by the atomic initial guess + is often wrong for systems with heavy metals which may have + partially occupied orbitals with lower energy than some doubly + occupied orbitals. The fragment initial guess avoids this problem. +
  • +
+ +

+

+  VECTORS [input] fragment <string file1> [<string file2> ...]
+
+The molecular orbitals are formed by superimposing the previously +generated orbitals of fragments of the molecule being studied. These +fragment molecular orbitals must be in the same basis as the current +calculation. The input specifies the files containing the fragment +molecular orbitals. For instance, in a calculation on the water +dimer, one might specify +
+  vectors fragment h2o1.movecs h2o2.movecs
+
+where h2o1.movecs contains the orbitals for the first fragment, and +h2o2.movecs contains the orbitals for the second fragment. + +

+A complete example of the input for a calculation on the water +dimer using the fragment guess is as follows: +

+   start dimer
+
+   title "Water dimer SCF using fragment initial guess"
+
+   geometry dimer
+     O   -0.595   1.165  -0.048
+     H    0.110   1.812  -0.170
+     H   -1.452   1.598  -0.154
+     O    0.724  -1.284   0.034
+     H    0.175  -2.013   0.348
+     H    0.177  -0.480   0.010
+   end
+
+   geometry h2o1
+     O   -0.595   1.165  -0.048
+     H    0.110   1.812  -0.170
+     H   -1.452   1.598  -0.154
+   end
+
+   geometry h2o2
+     O    0.724  -1.284   0.034
+     H    0.175  -2.013   0.348
+     H    0.177  -0.480   0.010
+   end
+
+   basis
+     o library 3-21g
+     h library 3-21g
+   end
+
+   set geometry h2o1
+   scf; vectors input atomic output h2o1.movecs; end
+   task scf
+
+   set geometry h2o2
+   scf; vectors input atomic output h2o2.movecs; end
+   task scf
+
+   set geometry dimer
+   scf
+   vectors input fragment h2o1.movecs h2o2.movecs \
+           output dimer.movecs
+   end
+   task scf
+
+First, the geometry of the dimer and the two monomers are specified +and given names. Then, after the basis specification, calculations +are performed on the fragments by setting the geometry to the +appropriate fragment (Section 5.7) and redirecting the +output molecular orbitals to an appropriately named file. Note also +that use of the atomic initial guess is forced, since the default +initial guess is to use any existing MOs which would not be +appropriate for the second fragment calculation. Finally, the dimer +calculation is performed by specifying the dimer geometry, indicating +use of the fragment guess, and redirecting the output MOs. + +

+The following points are important in using the fragment initial guess: + +

    +
  1. The fragment calculations must be in the same basis set as the + full calculation. +
  2. +
  3. The order of atoms in the fragments and the order in which the + fragment files are specified must be such that when the fragment + basis sets are concatenated all the basis functions are in the same + order as in the full system. This is readily accomplished by first + generating the full geometry with atoms for each fragment + contiguous, splitting this into numbered fragments and specifying + the fragment MO files in the correct order on the VECTORS + directive. +
  4. +
  5. The occupation of orbitals is preserved when they are merged + from the fragments to the full molecule and the resulting occupation + must match the requested occupation for the full molecule. E.g., a + triplet ROHF calculation must be comprised of fragments that have + a total of exactly two open-shell orbitals. +
  6. +
  7. Because of these restrictions, it is not possible to introduce + additional atoms (or basis functions) into fragments for the purpose + of cleanly breaking real bonds. However, it is possible, and highly + recommended, to introduce additional point charges to simulate the + presence of other fragments. +
  8. +
  9. MO vectors of partially occupied or strongly polarized systems + are very sensitive to orientation. While it is possible to specify + the same fragment MO vector file multiple times in the + VECTORS directive, it is usually much better to do a separate + calculation for each fragment. +
  10. +
  11. Linear dependencies which were present in a fragment calculation + may be magnified in the full calculation. When this occurs, + some of the fragment's highest virtual orbitals will not be copied to the + full system, and a warning will be printed. + +

    +

  12. +
+ +

+A more involved example is now presented. We wish to model the sextet +state of Fe(III) complexed with water, imidazole and a heme with a net +unit positive charge. The default atomic guess does not give the +correct $d^5$ occupation for the metal and also gives an incorrect +state for the double anion of the heme. The following performs +calculations on all of the fragments. Things to note are: + +

    +
  1. The use +of a dummy $+2$ charge in the initial guess on the heme which in part +simulates the presence of the metal ion, and also automatically forces +an additional two electrons to be added to the system (the default net +charge being zero). +
  2. +
  3. The iron fragment calculation (charge +3, $d^5$, sextet) will + yield the correct open-shell occupation for the full system. If, + instead, the d-orbitals were partially occupied (e.g., the doublet + state) it would be useful to introduce dummy charges around the iron + to model the ligand field and thereby lift the degeneracy to obtain + the correct occupation. +
  4. +
  5. $C_s$ symmetry is used for all of the calculations. It is not + necessary that the same symmetry be used in all of the + calculations, provided that the order and orientation of the atoms + is preserved. +
  6. +
  7. The unset scf:* directive is used immediately before + the calculation on the full system so that the default name for the + output MO vector file can be used, rather than having to specify it + explicitly. +
  8. +
+
+start heme6a1
+title  "heme-H2O (6A1) from M.Dupuis"
+
+############################################################
+# Define the geometry of the full system and the fragments #
+############################################################
+
+geometry full-system
+   symmetry cs
+
+   H     0.438   -0.002    4.549
+   C     0.443   -0.001    3.457
+   C     0.451   -1.251    2.828
+   C     0.452    1.250    2.828
+   H     0.455    2.652    4.586
+   H     0.461   -2.649    4.586
+   N1    0.455   -1.461    1.441
+   N1    0.458    1.458    1.443
+   C     0.460    2.530    3.505
+   C     0.462   -2.530    3.506
+   C     0.478    2.844    1.249
+   C     0.478    3.510    2.534
+   C     0.478   -2.848    1.248
+   C     0.480   -3.513    2.536
+   C     0.484    3.480    0.000
+   C     0.485   -3.484    0.000
+   H     0.489    4.590    2.664
+   H     0.496   -4.592    2.669
+
+   H     0.498    4.573    0.000
+   H     0.503   -4.577    0.000
+   H    -4.925    1.235    0.000
+   H    -4.729   -1.338    0.000
+   C    -3.987    0.685    0.000
+   N    -3.930   -0.703    0.000
+   C    -2.678    1.111    0.000
+   C    -2.622   -1.076    0.000
+   H    -2.284    2.126    0.000
+   H    -2.277   -2.108    0.000
+   N    -1.838    0.007    0.000
+
+   Fe    0.307    0.000    0.000
+
+   O     2.673   -0.009    0.000
+   H     3.238   -0.804    0.000
+   H     3.254    0.777    0.000
+end
+
+geometry ring-only
+   symmetry cs
+   H     0.438   -0.002    4.549
+   C     0.443   -0.001    3.457
+   C     0.451   -1.251    2.828
+   C     0.452    1.250    2.828
+   H     0.455    2.652    4.586
+   H     0.461   -2.649    4.586
+   N1    0.455   -1.461    1.441
+   N1    0.458    1.458    1.443
+   C     0.460    2.530    3.505
+   C     0.462   -2.530    3.506
+   C     0.478    2.844    1.249
+   C     0.478    3.510    2.534
+   C     0.478   -2.848    1.248
+   C     0.480   -3.513    2.536
+   C     0.484    3.480    0.000
+   C     0.485   -3.484    0.000
+   H     0.489    4.590    2.664
+   H     0.496   -4.592    2.669
+
+   Bq    0.307    0.0      0.0    charge 2  # simulate the iron
+end
+
+geometry imid-only
+   symmetry cs
+   H     0.498    4.573    0.000
+   H     0.503   -4.577    0.000
+   H    -4.925    1.235    0.000
+   H    -4.729   -1.338    0.000
+   C    -3.987    0.685    0.000
+   N    -3.930   -0.703    0.000
+   C    -2.678    1.111    0.000
+   C    -2.622   -1.076    0.000
+   H    -2.284    2.126    0.000
+   H    -2.277   -2.108    0.000
+   N    -1.838    0.007    0.000
+end
+
+geometry fe-only
+   symmetry cs
+   Fe    .307    0.000    0.000
+end
+
+geometry water-only
+   symmetry cs
+   O     2.673   -0.009    0.000
+   H     3.238   -0.804    0.000
+   H     3.254    0.777    0.000
+end
+
+############################
+# Basis set for everything #
+############################
+
+basis nosegment
+  O  library 6-31g*
+  N  library 6-31g*
+  C  library 6-31g*
+  H  library 6-31g*
+ Fe  library "Ahlrichs pVDZ"
+end
+
+##########################################################
+# SCF on the fragments for initial guess for full system #
+##########################################################
+
+scf; thresh 1e-2; end
+
+set geometry ring-only
+scf; vectors atomic swap 80 81 output ring.mo; end
+task scf
+
+set geometry water-only
+scf; vectors atomic output water.mo; end
+task scf
+
+set geometry imid-only
+scf; vectors atomic output imid.mo; end
+task scf
+
+charge 3
+set geometry fe-only
+scf; sextet; vectors atomic output fe.mo; end
+task scf
+
+##########################
+# SCF on the full system #
+##########################
+
+unset scf:*     # This restores the defaults
+
+charge 1
+
+set geometry full-system
+
+scf
+ sextet
+ vectors fragment ring.mo imid.mo fe.mo water.mo
+ maxiter 50
+end
+
+task scf
+
+ +

+ +

+ +
+10.5.2 Atomic guess orbitals with charged atoms +

+ +

+As noted above, the default guess vectors are based on superimposing +the density matrices of the neutral atoms. If some atoms are +significantly charged, this default guess may be improved upon by +modifying the atomic densities. This is done by setting parameters +that add fractional charges to the occupation of the valence atomic +orbitals. Since the atomic SCF program does not have its own input +block, the SET directive (Section 5.7) must be used +to set these parameters. + +

+The input specifies a list of tags (i.e., names of atoms in a +geometry, see Section 6) and the charges to be added to +those centers. Two parameters must be set as follows: +

+  set atomscf:tags_z <string list_of_tags>
+  set atomscf:z      <real list_of_charges>
+
+ +

+ +

+The array of strings atomscf:tags_z should be set to the list +of tags, and the array atomscf:z should be set to the list of +charges which must be real numbers (not integers). All atoms that +have a tag specified in the list of tags will be assigned the +corresponding charge from the list of charges. + +

+ +

+For example, the following specifies that all oxygen atoms with tag +O be assigned a charge of -1 and all iron atoms with tag +Fe be assigned a charge of +2 +

+  set atomscf:z        -1  2.0
+  set atomscf:tags_z    O  Fe
+
+ +

+There are some limitations to this feature. It is not possible to add +electrons to closed shell atoms, nor is it possible to remove all +electrons from a given atom. Attempts to do so will cause the code to +report an error, and it will not report further errors in the input +for modifying the charge even when they are detected. + +

+Finally, recall that the database is persistent (Section +3.2) and that the modified settings will be used in +subsequent atomic guess calculations unless the data is deleted from +the database with the UNSET directive (Section +5.8). + +

+ +

+ +
+10.6 Accuracy of initial guess +

+ +

+For SCF, the initial Fock-matrix construction from the atomic guess is +now (staring from version 3.3) performed to a default precision of +1e-7. However, other wavefunctions, notably DFT, use a lower +precision. In charged, or diffuse basis sets, this precision may not +be sufficient and could result in incorrect ordering of the initial +orbitals. The accuracy may be increased with the following directive +which should be inserted in the top-level of input (i.e., outside of +the SCF input block) and before the TASK directive. +

+  set tolguess 1e-7
+
+ +

+ +

+ +
+10.7 THRESH -- convergence threshold +

+ +

+

+  THRESH  <real thresh default 1.0e-4>
+
+ +

+This directive specifies the convergence threshold for the +calculation. The convergence threshold is the norm of the orbital +gradient, and has a default value in the code of $10^{-4}$. + +

+The norm of the orbital gradient corresponds roughly to the precision +available in the wavefunction, and the energy should be converged to +approximately the square of this number. It should be noted, however, +that the precision in the energy will not exceed that of the integral +screening tolerance. This tolerance (Section 10.4) is +automatically set from the convergence threshold, so that sufficient +precision is usually available by default. + +

+The default convergence threshold suffices for most SCF energy and +geometry optimization calculations, providing about 6-8 decimal +places in the energy, and about four significant figures in the +density and energy derivative with respect to nuclear coordinates. +However, greater precision may be required for calculations involving +weakly interacting systems, floppy molecules, finite-difference of +gradients to compute the Hessian, and for post-Hartree-Fock +calculations. A threshold of $10^{-6}$ is adequate for most such +purposes, and a threshold of $10^{-8}$ might be necessary for very +high accuracy or very weak interactions. A threshold of $10^{-10}$ +should be regarded as the best that can be attained in most +circumstances. + +

+ +

+ +
+10.8 MAXITER -- iteration limit +

+ +

+

+  MAXITER <integer maxiter default 8>
+
+ +

+ +

+The maximum number of iterations for the SCF calculation defaults to +20 for both ROHF/RHF and UHF calculations. For most molecules, this +number of iterations is more than sufficient for the quadratically +convergent SCF algorithm to obtain a solution converged to the default +threshold (see Section 10.7 above). If the SCF program +detects that the quadratically convergent algorithm is not +efficient, then it will resort to a linearly convergent +algorithm and increase the maximum number of iterations by 10. + +

+ +

+Convergence may not be reached in the maximum number of iterations for +many reasons, including input error (e.g., an incorrect geometry or a +linearly dependent basis), a very low convergence threshold, a poor +initial guess, or the fact that the system is intrinsically hard to +converge due to the presence of many states with similar energies. + +

+The following sets the maximum number of SCF iterations to 50: +

+  maxiter 50
+
+ +

+ +

+10.9 PROFILE -- performance profile +

+ +

+This directive allows the user to obtain timing and parallel +execution information about the SCF module. It is specified by the +simple keyword + +

+

+  PROFILE
+
+ +

+This option can be helpful in understanding the computational +performance of an SCF calculation. However, +it can introduce a significant overhead +on machines that have expensive timing routines, such as the SUN. + +

+ +

+10.10 DIIS -- DIIS convergence +

+ +

+This directive allows the user to specify DIIS convergence rather than +second-order convergence for the SCF calculation. The form of the +directive is as follows: + +

+

+  DIIS
+
+ +

+The implementation of this option is currently fairly rudimentary. It +does not have level-shifting and damping, and does not support open +shells or UHF. It is provided on an ``as is'' basis, and should be +used with caution. + +

+When the DIIS directive is specified in the input, the user has +the additional option of specifying the size of the subspace for the +DIIS extrapolation. This is accomplished with the DIISBAS +directive, which is of the form: +

+  DIISBAS <integer diisbas default 5>
+
+The default of 5 should be adequate for most applications, but may be +increased if convergence is poor. On large systems, it may be necessary +to specify a lower value for diisbas, to conserve memory. + +

+ +

+ +
+10.11 DIRECT and SEMIDIRECT -- recomputation of integrals +

+ +

+In the context of SCF calculations direct means that all integrals are +recomputed as required and none are stored. The other extreme are +disk- or memory-resident (sometimes termed conventional) calculations +in which all integrals are computed once and stored. Semi-direct +calculations are between these two extremes with some integrals being +precomputed and stored, and all other integrals being recomputed as +necessary. + +

+The default behavior of the SCF module is + +

    +
  • If enough memory is available, the integrals are computed once + and are cached in memory. +
  • +
  • If there is not enough memory to store all the integrals at + once, then 95% of the available disk space in the scratch directory + (see Section 5.2) is assumed to be available for this + purpose, and as many integrals as possible are cached on disk (with + no memory being used for caching). Some attempt is made to store + the most expensive integrals in the cache. +
  • +
  • If there is not enough room in memory or on disk for all the + integrals, then the ones that are not cached are recomputed in a + semidirect fashion. +
  • +
+ +

+The integral file is deleted at the end of a calculation, so it is not +possible to restart a semidirect calculation when the integrals are +cached in memory or on disk. Many computer systems (e.g., the EMSL +IBM SP) clear the fast scratch space at the end of each job, adding a +further complication to the problem of restarting a parallel +semidirect calculation. + +

+On the IBM SP or any other computer with fast disks local to each +processor, semidirect calculation offers the best behavior. It can +result in quadratic speedup as more processors are added. + +

+A fully direct calculation (with recomputation of the integrals at +each iteration) is forced by specifying the directive + +

+

+  DIRECT
+
+ +

+Alternatively, the SEMIDIRECT directive can be used to control +the default semidirect calculation by defining the amount of disk +space and the cache memory size. The form of this directive is as +follows: + +

+

+   SEMIDIRECT [filesize <integer filesize default disksize>] 
+              [memsize  <integer memsize default available>]
+              [filename <string filename default $file_prefix.aoints$>]
+
+ +

+The keyword FILESIZE allows the user to specify the amount of +disk space to be used per process for storing the integrals in 64-bit +words. Similarly, the keyword MEMSIZE allows the user to +specify the number of 64-bit words to be used per process for caching +integrals in memory. (Note: If the amount of storage space specified +by the entry for memsize is not available, the code cuts the +value in half and checks again for available space. This process is +repeated until the request is satisfied.) + +

+By default, the integral files are placed into the scratch directory +(see Section 5.2). Specifying the keyword FILENAME +overrides this default. The user-specified name entered in the string +filename has the process number appended to it, so that each +process has a distinct file but with a common base-name and directory. +Therefore, it is not possible to use this keyword to specify different +disks for different processes. The SCRATCH_DIR directive (see +Section 5.2) can be used for this purpose. + +

+For example, to force full recomputation of all integrals: +

+  direct
+
+ +

+Exactly the same result could be obtained by entering the directive: +

+  semidirect filesize 0 memsize 0
+
+ +

+To disable the use of memory for caching integrals and limit disk +usage by each process to 100 megawords (MW): +

+  semidirect memsize 0 filesize 100000000
+
+ +

+The integral records are typically 32769 words long and any non-zero +value for filesize or memsize should be enough to hold +at least one record. + +

+ +

+10.11.1 Integral File Size and Format for the SCF Module +

+ +

+The file format is rather complex, since it accommodates a variety of +packing and compression options and the distribution of data. This +section presents some information that may help the user understand +the output, and illustrates how to use the output information to +estimate file sizes. + +

+If integrals are stored with a threshold of greater than $10^{-10}$, +then the integrals are stored in a 32-bit fixed-point format (with +appropriate treatment for large values to retain precision). If +integrals are stored with a threshold less than $10^{-10}$, however, +the values are stored in 64-bit floating-point format. If a +replicated-data calculation is being run, then 8 bits are used for +each basis function label, unless there are more than 256 functions, +in which case 16 bits are used. If distributed data is being used, +then the labels are always packed to 8 bits (the distributed blocks +always being less than 256; labels are relative to the start of the +block). + +

+Thus, the number ($W$) of 64-bit words required to store $N$ +integrals, may be computed as +

+
+ + +\begin{displaymath}
+W = \left\{ \\
+\begin{array}{c}
+N \mbox{ , 8-bit labels ...
+...mbox{ , 16-bit labels and 64-bit values}
+\end{array} \right.
+\end{displaymath} +
+
+

+ +

+The actual number of words required can +exceed this computed value by up to one percent, due to +bookkeeping overhead, and because the file itself is +organized into fixed-size records. + +

+With at least the default print level, all semidirect (not direct) +calculations will print out information about the integral file and +the number of integrals computed. The form of this output is as +follows: + +

+

+ Integral file          = ./c6h6.aoints.0
+ Record size in doubles =  32769        No. of integs per rec  =  32768
+ Max. records in memory =      3        Max. records in file   =      5
+ No. of bits per label  =      8        No. of bits per value  =     32
+
+ #quartets = 2.0D+04  #integrals = 7.9D+05  direct = 63.6%  cached = 36.4%
+
+ +

+The file information above relates only to process 0. The line of +information about the number of quartets, integrals, etc., is a sum +over all processes. + +

+When the integral file is closed, additional information of the following +form is printed: + +

+

+------------------------------------------------------------
+EAF file 0: "./c6h6.aoints.0" size=262152 bytes
+------------------------------------------------------------
+               write      read    awrite     aread      wait
+               -----      ----    ------     -----      ----
+     calls:        6        12         0         0         0
+   data(b): 1.57e+06  3.15e+06  0.00e+00  0.00e+00
+   time(s): 1.09e-01  3.12e-02                      0.00e+00
+rate(mb/s): 1.44e+01  1.01e+02
+------------------------------------------------------------
+
+ Parallel integral file used       4 records with       0 large values
+
+Again, the detailed file information relates just to process 0, but +the final line indicates the total number of integral records stored +by all processes. + +

+This information may be used to optimize subsequent calculations, for +instance by assigning more memory or disk space. + +

+ +

+ +
+10.12 SCF Convergence Control Options +

+ +

+Note to users: It is desired that the SCF program converge +reliably with the default options for a wide variety of molecules. In +addition, it should be guaranteed to converge for any system, with +sufficient iterations. Please report significant convergence problems +to nwchem-support@emsl.pnl.gov, and include the +input file. + +

+The SCF program uses a preconditioned conjugate gradient (PCG) method +that is unconditionally convergent. Basically, a search direction is +generated by multiplying the orbital gradient (the derivative of the +energy with respect to the orbital rotations) by an approximation to +the inverse of the level-shifted orbital Hessian. In the initial +iterations (see Section 10.13), an inexpensive +one-electron approximation to the inverse orbital Hessian is used. +Closer to convergence, the full orbital Hessian is used, which should +provide quadratic convergence. For both the full or one-electron +orbital Hessians, the inverse-Hessian matrix-vector product is formed +iteratively. Subsequently, an approximate line search is performed +along the new search direction. If the exact Hessian is being +employed, then the line search should require a single step (of +unity). Preconditioning with approximate Hessians may require +additional steps, especially in the initial iterations. It is the +(approximate) line search that provides the convergence guarantee. +The iterations required to solve the linear equations are referred to +as micro-iterations. A macro-iteration comprises both the iterative +solution and a line search. + +

+Level-shifting plays the same role in this algorithm as +it does in the conventional iterative solution of the SCF equations. +The approximate Hessian used for preconditioning should be positive +definite. If this is not the case, then level-shifting by a positive +constant ($\Delta$) serves to make the preconditioning matrix positive +definite, by adding $\Delta$ to all of its eigenvalues. The +level-shifts employed for the RHF orbital Hessian should be +approximately four times (only twice for UHF) the value that one would +employ in a conventional SCF10.2. Level-shifting is automatically enabled +in the early iterations, and the default options suffice for most test +cases. + +

+So why do things go wrong and what can be done to fix convergence +problems? Most problems encountered so far arise either poor initial +guesses or from small or negative eigenvalues of the orbital Hessian. +The atomic orbital guess is usually very good. However, in +calculations on charged systems, especially with open shells, +incorrect initial occupations may result. The SCF might then converge +very slowly since very large orbital rotations might be required to +achieve the correct occupation or move charge large distances in the +molecule. Possible actions are + +

    +
  • Modify the atomic guess by assigning charges to the atoms + known to carry substantial charges (Section 10.5.2) +
  • +
  • Examining an analysis of the initial orbitals (Section + 10.16) and then swapping them to attain the desired + occupation (Section 10.5). +
  • +
  • Converging the calculation in a minimal basis set, which is + usually easier, and then projecting into a larger basis set (Section + 10.5). +
  • +
  • Using the fragment orbital initial guess (Section + 10.5.1). +
  • +
+ +

+Small or negative Hessian eigenvalues can occur even though the +calculation seem to be close to convergence (as measured by the +gradient norm, or the off-diagonal Fock matrix elements). Small +eigenvalues will cause the iterative linear equation solver to +converge slowly, resulting in an excessive number of micro-iterations. +This makes the SCF expensive in terms of computation time, and it is +possible to exceed the maximum number of iterations without achieving +the accuracy required for quadratic convergence -- which causes more +macro-iterations to be performed. + +

+Two main options are available when a problem will not converge: +Newton-Raphson can be disabled temporarily or permanently (see Section +10.13), and level-shifting can be applied to the matrix +(see Section 10.14). In some cases, both options may be +necessary to achieve final convergence. + +

+If there is reason to suspect a negative eigenvalue, the first course +is to disable the Newton-Raphson iteration until the solution is +closer to convergence. It may be necessary to disable it completely. +At some point close to convergence, the Hessian will be positive +definite, so disabling Newton-Raphson should yield a solution with +approximately the same convergence rate as DIIS. + +

+If temporarily disabling Newton-Raphson is not sufficient to achieve +convergence, it may be necessary to disable it entirely and apply a +small level-shift to the approximate Hessian. This should improve the +convergence rate of the micro-iterations and stabilize the +macro-iterations. The level-shifting will destroy exact quadratic +convergence, but the optimization process is automatically adjusted to +reflect this by enforcing conjugacy and reducing the accuracy to which +the linear equations are solved. The net result of this is that the +solution will do more macro-iterations, but each one should take less +time than it would with the unshifted Hessian. + +

+The following sections describe the directives needed to disable the +Newton-Raphson iteration and specify level-shifting. + +

+ +

+ +
+10.13 NR -- controlling the Newton-Raphson +

+ +

+

+    NR <real nr_switch default 0.1>
+
+ +

+The exact orbital Hessian is adopted as the preconditioner when the +maximum element of the orbital gradient is below the value specified +for nr_switch. The default value is 0.1, which means that +Newton-Raphson will be disabled until the maximum value of the orbital +gradient (twice the largest off-diagonal Fock matrix element) is less +than 0.1. To disable the Newton-Raphson entirely, the +value of nr_switch must be set to zero. The directive to accomplish +this is as follows: +

+  nr 0
+
+ +

+ +

+ +
+10.14 LEVEL -- level-shifting the orbital Hessian +

+ +

+This directive allows the user to specify level-shifting to obtain a +positive-definite preconditioning matrix for the SCF solution +procedure. Separate level shifts can be set for the first-order +convergent one-electron approximation to the Hessian used with the +preconditioned conjugate gradient (PCG) method, and for the full +Hessian used with the Newton-Raphson (NR) approach. It is also +possible to change the level-shift automatically as the solution +attains some specified accuracy. The form of the directive is as +follows: +

+   LEVEL [pcg <real initial default 20.0> \
+           [<real tol default 0.5> <real final default 0.0>]] \
+         [nr <real initial default 0.0> \
+           [<real tol default 0.0> <real final default 0.0>]]
+
+ +

+This directive contains only two keywords: one for the PCG method and +the other for the exact Hessian (Newton Raphson, or NR). Use of PCG +or NR is determined by the input specified for nr_switch on the +NR directive, Section 10.13 above. + +

+Specifying the keyword pcg on the LEVEL directive allows +the user to define the level shifting for the approximate (i.e., PCG) +method. Specifying the keyword nr allows the user to define +the level shifting for the exact Hessians. In both options, the +initial level shift is defined by the value specified for the variable +initial. Optionally, tol can be specified independently +with each keyword to define the level of accuracy that must be +attained in the solution before the level shifting is changed to the +value specified by input in the real variable final. Level +shifts and gradient thresholds are specified in atomic units. + +

+For the PCG method (as specified using the keyword pcg), the +defaults for this input are 20.0 for initial, 0.5 for +tol, and 0.0 for final. This means that the +approximate Hessian will be shifted by 20.0 until the maximum element +of the gradient falls below 0.5, at which point the shift will be set +to zero. + +

+For the exact Hessian (as specified using the keyword nr), the +defaults are all zero. The exact Hessian is usually not shifted since +this destroys quadratic convergence. An example of an input directive +that applies a shift of 0.2 to the exact Hessian is as follows: +

+  level nr 0.2
+
+ +

+To apply this shift to the exact Hessian only until the maximum +element of the gradient falls below 0.005, the required input +directive is as follows: +

+  level nr 0.2 0.005 0
+
+ +

+Note that in both of these examples, the parameters for the PCG method +are at the default values. To obtain values different from the +defaults, the keyword pcg must also be specified. For example, +to specify the level shifting in the above example for the exact +Hessian and non-default shifting for the PCG method, the +directive would be something like the following: +

+  level pcg 20 0.3 0.0 nr 0.2 0.005 0.0
+
+ +

+This input will cause the PCG method to be level-shifted by 20.0 until +the maximum element of the gradient falls below 0.3, then the shift +will be zero. For the exact Hessian, the level shifting is initially +0.2, until the maximum element falls below 0.005, after which the +shift is zero. + +

+The default options correspond to +

+  level pcg 20 0.5 0 nr 0 0 0
+
+ +

+ +

+ +
+10.15 Orbital Localization +

+The SCF module includes an experimental implementation of +orbital localization, including Foster-Boys and Pipek-Mezey which only +works for closed-shell (RHF) wavefunctions. There is currently no +input in the SCF block to control this so the SET directive +(Section 5.7) must be used. + +

+The directive +

+  set scf:localize t
+
+will separately localize the core, valence, and virtual orbital spaces +using the Pipek-Mezey algorithm. If the additional directive +
+  set scf:loctype FB
+
+is included, then the Foster-boys algorithm is used. The partitioning +of core-orbitals is performed using the atomic information described +in Section 16.1. + +

+In the next release, this functionality will be extended to included all +wavefunctions using molecular orbitals. + +

+ +

+ +
+10.16 Printing Information from the SCF Module +

+ +

+All output from the SCF module is controlled using the PRINT +directive described in Section 5.6. The following +list describes the items from SCF that are currently under direct +print control, along with the print level for each one. + +

+

+
+ + + +
Table 10.1: +SCF Print Control Specifications
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
NamePrint LevelDescription
``atomic guess density''debugguess density matrix
``atomic scf''debugdetails of atomic SCF
``mo guess''defaultbrief info from mo guess
``information''lowresults
``initial vectors''debug 
``intermediate vectors''debug 
``final vectors''debug 
``final vectors analysis''default 
``initial vectors analysis''never 
``intermediate evals''debug 
``final evals''default 
``schwarz''highintegral screening info & stats at completion
``screening statistics''debugdisplay stats after every Fock build
``geometry''high 
``symmetry''debugdetailed symmetry info
``basis''high 
``geombas''debugdetailed basis map info
``vectors i/o''defaultreport vectors I/O
``parameters''defaultconvergence parameters
``convergence''defaultinfo each iteration
``mulliken ao''neverMulliken population of basis functions
+
+
+

+
+ +

+ +

+10.17 Hartree-Fock or SCF, MCSCF and MP2 Gradients +

+ +

+ +

+The input for this directive allows the user to adjust the print control +for the SCF, UHF, ROHF, MCSCF and MP2 gradients. The +form of the directive is as follows: + +

+

+  GRADIENTS 
+    [print || noprint] ...
+  END
+
+ +

+The complementary keyword pair print and noprint allows +the user some additional control on the information that can be +included in the print output from the SCF calculation. Currently, +only a few items can be explicitly invoked via print control. These +are as follows: + +

+

+
+ + + +
Table 10.2: +Gradient Print Control Specifications
+
+ + + + + + + + + + + + + + + + + + + + + + + + + +
NamePrint LevelDescription
``information''lowcalculation info
``geometry''highgeometry information
``basis''highbasis set(s) used
``forces''lowdetails of force components
``timing''defaulttiming for each phase
+
+
+

+
+ +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 11. DFT for Molecules + Up: user + Previous: 9. Relativistic All-electron Approximations +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node13.html b/web/doc/user.4.6/node13.html new file mode 100644 index 0000000000..0e94bd5e4a --- /dev/null +++ b/web/doc/user.4.6/node13.html @@ -0,0 +1,2779 @@ + + + + + +11. DFT for Molecules (DFT) + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 12. Spin-Orbit DFT (SODFT) + Up: user + Previous: 10. Hartree-Fock or Self-consistent +   Contents +
+
+ + +Subsections + + + +
+ +

+11. DFT for Molecules (DFT) +

+ +

+The NWChem density functional theory (DFT) module uses the +Gaussian basis set approach to compute +closed shell and open shell densities and Kohn-Sham orbitals +in the: + +

    +
  • local density approximation (LDA), +
  • +
  • non-local density approximation (NLDA), +
  • +
  • local spin-density approximation (LSD), +
  • +
  • non-local spin-density approximation (NLSD), +
  • +
  • any empirical mixture of local and non-local approximations +(including exact exchange), and +
  • +
  • asymptotically corrected exchange-correlation potentials. +
  • +
+ +

+The formal scaling of the DFT computation can be reduced by choosing +to use auxiliary Gaussian basis sets to fit the charge density (CD) and/or +fit the exchange-correlation (XC) potential. + +

+DFT input is provided using the compound DFT directive +

+  DFT
+    ...
+  END
+
+The actual DFT calculation will be performed when the input module +encounters the TASK directive (Section 5.10). +
+  TASK DFT
+
+ +

+Once a user has specified a geometry and a Kohn-Sham orbital basis set +the DFT module can be invoked with no input directives (defaults +invoked throughout). There are sub-directives which allow for +customized application; those currently provided as options for +the DFT module are: +

+  VECTORS [[input] (<string input_movecs default atomic>) || \
+                   (project <string basisname> <string filename>)] \
+           [swap [alpha||beta] <integer vec1 vec2> ...] \
+           [output <string output_filename default input_movecs>] \
+
+
+  XC [[acm] [b3lyp] [beckehandh] [pbe0]\
+     [becke97]  [becke97-1] [becke97-2] [becke98] [hcth] [hcth120] [hcth147]\
+      [hcth407] [becke97gga1]  [hcth407p]\
+      [mpw91] [mpw1k] [xft97] [cft97] [ft97] [xpkzb99] [cpkzb99]\
+      [HFexch <real prefactor default 1.0>] \
+      [becke88 [nonlocal] <real prefactor default 1.0>] \
+      [xperdew91 [nonlocal] <real prefactor default 1.0>] \
+      [xpbe96 [nonlocal] <real prefactor default 1.0>] \
+      [gill96 [nonlocal] <real prefactor default 1.0>] \
+      [lyp <real prefactor default 1.0>] \
+      [perdew81 <real prefactor default 1.0>] \
+      [perdew86 [nonlocal] <real prefactor default 1.0>] \
+      [perdew91 [nonlocal] <real prefactor default 1.0>] \
+      [cpbe96 [nonlocal] <real prefactor default 1.0>] \
+      [pw91lda <real prefactor default 1.0>] \
+      [slater <real prefactor default 1.0>] \
+      [vwn_1 <real prefactor default 1.0>] \
+      [vwn_2 <real prefactor default 1.0>] \
+      [vwn_3 <real prefactor default 1.0>] \
+      [vwn_4 <real prefactor default 1.0>] \
+      [vwn_5 <real prefactor default 1.0>] \
+      [vwn_1_rpa <real prefactor default 1.0>]]
+
+
+  CONVERGENCE [[energy <real energy default 1e-7>] \
+               [density <real density default 1e-5>] \
+               [gradient <real gradient default 5e-4>] \
+               [dampon <real dampon default 0.0>] \
+               [dampoff <real dampoff default 0.0>] \
+               [diison <real diison default 0.0>] \
+               [diisoff <real diisoff default 0.0>] \
+               [levlon <real levlon default 0.0>] \
+               [levloff <real levloff default 0.0>] \
+               [ncydp <integer ncydp default 2>] \
+               [ncyds <integer ncyds default 30>] \
+               [ncysh <integer ncysh default 30>] \
+               [damp <integer ndamp default 0>] [nodamping] \
+               [diis [nfock <integer nfock default 10>]] \
+               [nodiis] [lshift <real lshift default 0.5>] \
+               [nolevelshifting] \
+               [hl_tol <real hl_tol default 0.1>] \
+               [rabuck [n_rabuck <integer n_rabuck default 25>]]
+
+
+  GRID [(xcoarse||coarse||medium||fine||xfine) default medium] \
+       [(gausleg||lebedev ) default lebedev ] \
+       [(becke||erf1||erf2||ssf) default erf1] \
+       [(euler||mura||treutler) default mura] \
+       [rm <real rm default 2.0>] \
+       [nodisk]
+        
+
+  TOLERANCES [[tight] [tol_rho <real tol_rho default 1e-10>] \
+              [accCoul <integer accCoul default 8>] \
+              [radius <real radius default 25.0>]]
+
+
+  [(LB94||CS00 <real shift default none>)]
+
+  DECOMP
+  ODFT
+  DIRECT
+  INCORE
+  ITERATIONS <integer iterations default 30>
+  MAX_OVL
+  MULLIKEN
+  MULT <integer mult default 1>
+  NOIO
+  PRINT||NOPRINT
+
+ +

+The following +sections describe these keywords and +optional sub-directives that can be specified for a DFT calculation +in NWChem. + +

+ +

+11.1 Specification of Basis Sets for the DFT Module +

+ +

+The DFT module requires at a minimum the basis set for the Kohn-Sham +molecular orbitals. This basis set must be in the default basis set named +"ao basis", or it must be assigned to this default name using the +SET directive (see Section 5.7). + +

+In addition to the basis set for the Kohn-Sham orbitals, +the charge density fitting basis set can also be specified in the +input directives for the DFT module. This basis set is used for the +evaluation of the Coulomb potential in the Dunlap scheme11.1. +The charge density fitting basis set must have the name "cd basis". +This can be the actual name of a basis set, or a basis set can be +assigned this name using the SET directive, as described in +Section 5.7. If this basis set is not defined by input, +the $O(N^4)$ exact Coulomb contribution is computed. + +

+The user also has the option of specifying a third basis set for the +evaluation of the exchange-correlation potential. This basis set must +have the name "xc basis". If this basis set is not specified +by input, the exchange contribution (XC) is evaluated by numerical +quadrature. In most applications, this approach is efficient enough, +so the "xc basis" basis set is not generally required. + +

+For the DFT module, the input options for defining the basis sets in a given +calculation can be summarized as follows; + +

    +
  • "ao basis" - Kohn-Sham molecular orbitals; required for all +calculations +
  • +
  • "cd basis" - charge density fitting basis set; optional, but +recommended for evaluation of the Coulomb potential +
  • +
  • "xc basis" - exchange-correlation (XC) fitting basis set; +optional, and usually not recommended +
  • +
+ +

+ +

+11.2 VECTORS and MAX_OVL -- KS-MO Vectors +

+ +

+The VECTORS directive is the same as that in the SCF module +(Section 10.5). Currently, the LOCK keyword +is not supported by the DFT module, however the directive +

+  MAX_OVL
+
+has the same effect. + +

+ +

+ +
+11.3 XC and DECOMP -- Exchange-Correlation Potentials +

+
+  XC [[acm] [b3lyp] [beckehandh] [pbe0]\
+     [becke97]  [becke97-1] [becke97-2] [becke98] [hcth] [hcth120] [hcth147] \
+      [hcth407] [becke97gga1] [hcth407p] \
+      [optx] [hcthp14] [mpw91] [mpw1k] [xft97] [cft97] [ft97]\
+      [HFexch <real prefactor default 1.0>] \
+      [becke88 [nonlocal] <real prefactor default 1.0>] \
+      [xperdew91 [nonlocal] <real prefactor default 1.0>] \
+      [xpbe96 [nonlocal] <real prefactor default 1.0>] \
+      [gill96 [nonlocal] <real prefactor default 1.0>] \
+      [lyp <real prefactor default 1.0>] \
+      [perdew81 <real prefactor default 1.0>] \
+      [perdew86 [nonlocal] <real prefactor default 1.0>] \
+      [perdew91 [nonlocal] <real prefactor default 1.0>] \
+      [cpbe96 [nonlocal] <real prefactor default 1.0>] \
+      [pw91lda <real prefactor default 1.0>] \
+      [slater <real prefactor default 1.0>] \
+      [vwn_1 <real prefactor default 1.0>] \
+      [vwn_2 <real prefactor default 1.0>] \
+      [vwn_3 <real prefactor default 1.0>] \
+      [vwn_4 <real prefactor default 1.0>] \
+      [vwn_5 <real prefactor default 1.0>] \
+      [vwn_1_rpa <real prefactor default 1.0>]]
+
+ +

+The user has the option of specifying the exchange-correlation +treatment in the DFT Module (see table 11.1). + The default exchange-correlation +functional is defined as the local density approximation (LDA) for +closed shell systems and its counterpart the local spin-density (LSD) +approximation for open shell systems. Within this approximation the +exchange functional is the Slater $\rho^{1/3}$ functional (from +J.C. Slater, Quantum Theory of Molecules and Solids, Vol. 4: The + Self-Consistent Field for Molecules and Solids (McGraw-Hill, New +York, 1974)), and the correlation functional is the Vosko-Wilk-Nusair +(VWN) functional (functional V) (S.J. Vosko, L. Wilk and M. Nusair, +Can. J. Phys. 58, 1200 (1980)). The parameters used in this +formula are obtained by fitting to the Ceperley and +Alder11.2Quantum Monte-Carlo solution of the homogeneous electron gas. + +

+These defaults can be invoked explicitly by specifying the following +keywords within the DFT module input directive, XC slater vwn_5. + +

+That is, this statement in the input file +

+dft
+  XC slater vwn_5
+end
+task dft
+
+ +

+is equivalent to the simple line +

+task dft
+
+ +

+The DECOMP directive causes the components of the energy +corresponding to each functional to be printed, rather than just the +total exchange-correlation energy which is the default. You can see +an example of this directive in the sample input in +Section 11.5. + +

+Many alternative exchange and correlation functionals are available to +the user as listed in table 11.1. The following sections describe +how to use these options. + +

+ +

+11.3.1 Exchange-Correlation Functionals +

+ +

+There are several Exchange and Correlation functionals in addition to the +default slater and vwn_5 +functionals. These are either local or gradient-corrected functionals (GCA); +a full list can be found in table 11.1. + +

+The Hartree-Fock exact exchange functional, (which has $O(N^4)$ +computation expense), is invoked by specifying +

+   XC HFexch
+
+ +

+Note that the user also has the ability to include only the local or +nonlocal contributions of a given functional. In addition the user +can specify a multiplicative prefactor (the variable +<prefactor> in the input) for the local/nonlocal component or +total. An example of this might be, +

+   XC becke88 nonlocal 0.72
+
+The user should be aware that the Becke88 local component is simply +the Slater exchange and should be input as such. + +

+Any combination of the supported exchange functional options can be +used. For example the popular Gaussian B3 exchange could be specified +as: +

+   XC slater 0.8 becke88 nonlocal 0.72 HFexch 0.2
+
+ +

+ +

+ +

+Any combination of the supported correlation functional options can be +used. For example B3LYP could be specified as: +

+XC vwn_1_rpa 0.19 lyp 0.81 HFexch 0.20  slater 0.80 becke88 nonlocal 0.72
+
+ +

+ +

+11.3.2 Combined Exchange and Correlation Functionals +

+ +

+In addition to the options listed above for the exchange and correlation +functionals, the user has the alternative of specifying combined exchange and +correlation functionals. A complete list of the available functionals +appears in table 11.1. + +

+The available hybrid functionals +(where a Hartree-Fock Exchange component is present) consist of the Becke +``half and half'' (see A.D. Becke, J. Chem. Phys. 98, 1372 (1992)), the +adiabatic connection method (see A.D. Becke, J. Chem. Phys. 98, 5648 +(1993)), B3LYP (popularized by Gaussian9X), Becke 1997 +(``Becke V'' paper: A.D.Becke, J. Chem. Phys., 107, 8554 (1997)). + +

+The keyword beckehandh specifies that the exchange-correlation energy will be +computed as +

+
+ +\begin{eqnarray*}
+E_{XC} \ \approx \ \frac{1}{2} E^{\rm HF}_X + \frac{1}{2} E^{\rm Slater}_{X} + \frac{1}{2} E^{\rm PW91LDA}_{C}
+\end{eqnarray*} +

+

+

+We know this is NOT the correct Becke prescribed implementation which +requires the XC potential in the energy expression. But this is what +is currently implemented as an approximation to it. + +

+The keyword acm specifies that the exchange-correlation energy +is computed as +

+
+ +\begin{eqnarray*}
+E_{XC} \ &=& \ a_0 E^{\rm HF}_X + (1-a_0) E^{\rm Slater}_{X} +...
+...\\
+& &{\rm where } \\
+a_0 &=& 0.20, \ a_X = 0.72, \ a_C = 0.81
+\end{eqnarray*} +

+

+

+and $\Delta$ stands for a non-local component. + +

+The keyword b3lyp specifies that the exchange-correlation energy +is computed as +

+
+ +\begin{eqnarray*}
+E_{XC} \ &=& \ a_0 E^{\rm HF}_X + (1-a_0) E^{\rm Slater}_{X} +...
+...\\
+& &{\rm where } \\
+a_0 &=& 0.20, \ a_X = 0.72, \ a_C = 0.81
+\end{eqnarray*} +

+

+

+ +

+ +

+11.3.3 Meta-GGA Functionals +

+ +

+One way to calculate meta-GGA energies is to use + orbitals and densities +from fully self-consistent GGA or LDA calculations +and run them in one iteration in the meta-GGA functional. +It is expected that meta-GGA energies obtained +this way will be close to fully self consistent +meta-GGA calculations. +This can be easily accomplished in NWChem, +and is illustrated in +the example below. +This kind of calculation +will obviously not converge the energy. +To avoid an error in +the standard Unix output of NWChem, +you must tell NWChem + to ignore +the returned result of the task, +which may be accomplished in the input file + with task dft ignore +You may still get a warning in the output to the effect, +!! warning: dft energy failed. +This simply means the energy failed to converge +since you ran only one iteration of +the functional. + +

+(For more information, see +S. Kurth, J. Perdew, P. Blaha, Int. J. Quant. Chem 75, 889 (1999) +for a brief description of meta-GGAs, and citations 14-27 +therein for thorough background ) + +

+Note: both TPSS and PKZB correlation +require the PBE GGA CORRELATION (which is itself dependent on an LDA). +The decision has been made to +use these functionals with the accompanying local +PW91LDA. The user does not have the ability to set +the local part of these metaGGA functionals. + +

+ +

+11.4 LB94 and CS00 -- Asymptotic correction +

+ +

+The keyword LB94 will correct the asymptotic region of +the XC definition of exchange-correlation potential by +the van-Leeuwen-Baerends exchange-correlation potential that +has the correct $-1/r$ asymptotic behavior. The total energy will be computed by the +XC definition of exchange-correlation functional. This scheme is known to +tend to overcorrect the deficiency of most uncorrected exchange-correlation potentials. + +

+The keyword CS00, when supplied with a real value of shift (in atomic units), +will perform Casida-Salahub '00 asymptotic correction. This is primarily intended +for use in conjunction with TDDFT and the background of this method is given in more +detail in Chapter 14. The shift is normally positive (which means that the original +uncorrected exchange-correlation potential must be shifted down). + +

+When the keyword CS00 is specified without the value of shift, the program will +automatically supply it according to the semi-empirical formula of Zhan, Nichols, and +Dixon (again, see Chapter 14 for more details and references). As the Zhan's formula +is calibrated against B3LYP results, it is most meaningful to use this in conjunction +with the B3LYP functional, although the program does not prohibit (or even warn) the use +of any other functional. + +

+Sample input files of asymptotically corrected TDDFT calculations can be found in +Chapter 14. + +

+ +

+ +
+11.5 Sample input file +

+A simple example calculates the meta-GGA +exchange +energy of water, using converged GGA orbitals and +densities to evaluate the meta-GGA energy functional, +and also highlights some of +the print features in the DFT module: +
+title "WATER 6-311G* meta-GGA X with PBE orbitals"
+echo
+geometry units angstroms
+  O       0.0  0.0  0.0
+  H       0.0  0.0  1.0
+  H       0.0  1.0  0.0
+end
+
+basis
+  H library 6-311G*
+  O library 6-311G*
+end
+ 
+dft
+ print  kinetic_energy
+ xc xpbe96 cpbe96
+ decomp
+end
+task dft optimize
+
+
+dft
+ iterations 1
+ xc xpkzb99
+ decomp
+ print  quadrature kinetic_energy
+end
+task dft ignore
+
+ +

+Below are +the results of the exchange-only +meta-GGA calculation part, and as expected +we are reminded the calculation was not allowed +to converge: + +

+

+      Calculation failed to converge
+      ------------------------------
+
+         Total DFT energy =    -75.948526603774
+      One electron energy =   -122.899234375708
+           Coulomb energy =     46.745269703266
+          Exchange energy =     -8.857824284365
+       Correlation energy =      0.000000000000
+ Nuclear repulsion energy =      9.063262353032
+
+ Numeric. integr. density =     10.000001055407
+
+ +

+ +

+
+ + + +
Table 11.1: +Table of available Exchange (X) and Correlation (C) functionals. +GGA is the Generalized Gradient Approximation, and meta refers to +Meta-GGAs. The column 2nds refers to second derivatives of the +energy with respect to nuclear position.
+

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
        
KeywordXCGGAmetaHybrid2ndsRef.
        
slater$\star$    Y[1]
vwn_1 $\star$   Y[2]
vwn_2 $\star$   Y[2]
vwn_3 $\star$   Y[2]
vwn_4 $\star$   Y[2]
vwn_5 $\star$   Y[2]
vwn_1_rpa $\star$   Y[2]
perdew81 $\star$   Y[3]
pw91lda $\star$   Y[4]
becke88$\star$ $\star$  Y[5]
xperdew91$\star$ $\star$  Y[6]
xpbe96$\star$ $\star$  Y[7]
gill96$\star$ $\star$  Y[8]
optx$\star$ $\star$  N[20]
mpw91$\star$ $\star$  Y[23]
xft97$\star$ $\star$  N[24]
perdew86 $\star$$\star$  Y[9]
lyp $\star$$\star$  Y[10]
perdew91 $\star$$\star$  Y[6]
cpbe96 $\star$$\star$  Y[7]
cft97 $\star$$\star$  N[25]
hcth$\star$$\star$$\star$  N[11]
hcth120$\star$$\star$$\star$  N[12]
hcth147$\star$$\star$$\star$  N[12]
hcth407$\star$$\star$$\star$  N[19]
becke97gga1$\star$$\star$$\star$  N[18]
hcthp14$\star$$\star$$\star$  N[21]
ft97$\star$$\star$$\star$  N[24,25]
htch407p$\star$$\star$$\star$  N[28]
xpkzb99$\star$  $\star$ N[27]
cpkzb99 $\star$ $\star$ N[27]
xtpss03$\star$  $\star$ N[29]
ctpss03 $\star$ $\star$ N[29]
beckehandh$\star$$\star$  $\star$Y[13]
b3lyp$\star$$\star$$\star$ $\star$Y[14]
acm$\star$$\star$$\star$ $\star$Y[14]
becke97$\star$$\star$$\star$ $\star$N[15]
becke97-1$\star$$\star$$\star$ $\star$N[15]
becke97-2$\star$$\star$$\star$ $\star$N[22]
becke98$\star$$\star$$\star$ $\star$N[16]
pbe0$\star$$\star$$\star$ $\star$Y[17]
mpw1k$\star$$\star$$\star$ $\star$Y[26]
+ +

+

+
+ +

+ +
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ +

    +
  1. C. Slater, Quantum Theory of Molecules and Solids, +Vol. 4 (McGraw-Hill, New York, 1974) +
  2. +
  3. S.J. Vosko, L. Wilk and M. Nusair, +Can. J. Phys. 58, 1200 (1980). +
  4. +
  5. J. P. Perdew and A. Zunger, Phys. Rev. B 23, 5048 +(1981). +
  6. +
  7. J.P. Perdew and Y. Wang, Phys. Rev. B 45, +13244 (1992). +
  8. +
  9. A.D. Becke, Phys. Rev. A 88, 3098 (1988). +
  10. +
  11. J.P. Perdew, J.A. Chevary, S.H. Vosko, K.A. Jackson, +M.R. Pederson, D.J. Singh and C. Fiolhais, Phys. Rev. B 46, 6671 +(1992). +
  12. +
  13. J.P. Perdew, K. Burke and M. Ernzerhof, +Phys. Rev. Lett. 77, 3865 (1996); 78 , 1396 (1997). +
  14. +
  15. P.W.Gill , Mol. Phys. 89, 433 (1996). +
  16. +
  17. J. P. Perdew, Phys. Rev. B 33, 8822 (1986). +
  18. +
  19. C. Lee, W. Yang and R. G. Parr, Phys. Rev. B 37, 785 +(1988). +
  20. +
  21. F.A.Hamprecht, A.J.Cohen, D.J.Tozer and N.C. +
    +Handy, + J. Chem. Phys. 109, 6264 (1998). +
  22. +
  23. A.D.Boese, N.L.Doltsinis, N.C.Handy and +M.Sprik. J. Chem. Phys. 112, 1670 (2000). +
  24. +
  25. A.D. Becke, J. Chem. Phys. 98, 1372 (1992). +
  26. +
  27. A.D. Becke, J. Chem. Phys. 98, 5648 (1993). +
  28. +
  29. A.D.Becke, J. Chem. Phys. 107, 8554 (1997). +
  30. +
  31. H.L.Schmider and A.D. Becke, J. Chem. Phys. 108, +9624 (1998). +
  32. +
  33. C.Adamo and V.Barone, J. Chem. Phys. 110, 6158 (1998). +
  34. +
  35. A.J.Cohen and N.C. Handy, Chem. Phys. Lett. 316, 160 (2000). +
  36. +
  37. A.D.Boese, N.C.Handy, J. Chem. Phys. 114, 5497 +(2001). +
  38. +
  39. N.C.Handy, A.J. Cohen, Mol. Phys. 99, 403 (2001). +
  40. +
  41. G. Menconi, P.J. Wilson, D.J. Tozer, +J. Chem. Phys 114, 3958 (2001). +
  42. +
  43. P.J. Wilson, T.J. Bradley, D.J. Tozer, J. Chem. Phys 115, +9233 (2001). +
  44. +
  45. C. Adamo and V. Barone, J. Chem. Phys. 108, 664 (1998). +
  46. +
  47. M.Filatov and W.Thiel, Mol.Phys. 91, 847 (1997). +
  48. +
  49. M.Filatov and W.Thiel, Int.J.Quantum Chem. 62, 603 (1997). +
  50. +
  51. B.J.Lynch, P.L.Fast, M.Harris and D.G.Truhlar, J. Phys. Chem. A +104, 4811(2000). +
  52. +
  53. J.P. Perdew, S. Kurth, A. Zupan and P. Blaha, +Phys. Rev. Lett. 82, 2544 (1999) +
  54. +
  55. A. D. Boese, A. Chandra, J. M. L. Martin and D. Marx, + J. Chem. Phys. 119, 5965 (2003) +
  56. +
  57. J. Tao,J.Perdew,V. Staroverov and G. Scuseria, +Phys. Rev. Let. 91, 146401-1 (2003) +
  58. +
+ +

+ +

+11.6 ITERATIONS -- Number of SCF iterations +

+ +

+

+  ITERATIONS <integer iterations default 30>
+
+ +

+The default optimization in the DFT module is to iterate on the +Kohn-Sham (SCF) equations for a specified number of iterations +(default 30). The keyword that controls this optimization +is ITERATIONS, and has the following general form, + +

+

+   iterations <integer iterations default 30>
+
+ +

+The optimization procedure will stop when the specified number of +iterations is reached or convergence is met. See an example +that uses this directive in section 11.5. + +

+ +

+ +
+11.7 CONVERGENCE -- SCF Convergence Control +

+ +

+

+  CONVERGENCE [energy <real energy default 1e-6>] \
+              [density <real density default 1e-5>] \
+              [gradient <real gradient default 5e-4>] \
+              [hl_tol <real hl_tol default 0.1>]
+              [dampon <real dampon default 0.0>] \
+              [dampoff <real dampoff default 0.0>] \
+              [ncydp <integer ncydp default 2>] \
+              [ncyds <integer ncyds default 30>] \
+              [ncysh <integer ncysh default 30>] \
+              [damp <integer ndamp default 0>] [nodamping] \
+              [diison <real diison default 0.0>] \
+              [diisoff <real diisoff default 0.0>] \
+              [(diis [nfock <integer nfock default 10>]) || nodiis] \
+              [levlon <real levlon default 0.0>] \
+              [levloff <real levloff default 0.0>] \
+              [(lshift <real lshift default 0.5>) || nolevelshifting] \
+              [rabuck [n_rabuck <integer n_rabuck default 25>]]
+
+ +

+Convergence is satisfied by meeting any or all of three criteria; + +

    +
  • convergence of the total energy; this is defined to be when the + total DFT energy at iteration N and at iteration N-1 differ by a value less + than some value (the default is 1e-6). This value can be modified + using the key word, +
    +  CONVERGENCE energy <real energy default 1e-6>
    +
    + +

    +

  • +
  • convergence of the total density; this is defined to be when the + total DFT density matrix at iteration N and at iteration N-1 have a + RMS difference less than some value (the default is 1e-5). This value can be modified + using the key word, +
    +  CONVERGENCE density <real density default 1e-5>
    +
    + +

    +

  • +
  • convergence of the orbital gradient; this is defined to be when the + DIIS error vector becomes less than some value (the default is + 5e-4). This value can be modified using the key word, +
    +  CONVERGENCE gradient <real gradient default 5e-4>
    +
    +
  • +
+ +

+The default optimization strategy is to immediately begin direct +inversion of the iterative subspace11.3. Damping is also initiated (using 70% of the previous +density) for the first 2 iteration. In addition, if the HOMO - LUMO +gap is small and the Fock matrix somewhat diagonally dominant, then +level-shifting is automatically initiated. There are a variety of ways +to customize this procedure to whatever is desired. + +

+An alternative optimization strategy is to specify, by using the change +in total energy (from iterations when N and N-1), when to turn +damping, level-shifting, and/or DIIS on/off. Start and stop keywords for +each of these is available as, +

+  CONVERGENCE  [dampon <real dampon default 0.0>] \
+               [dampoff <real dampoff default 0.0>] \
+               [diison <real diison default 0.0>] \
+               [diisoff <real diisoff default 0.0>] \
+               [levlon <real levlon default 0.0>] \
+               [levloff <real levloff default 0.0>]
+
+ +

+So, for example, damping, DIIS, and/or level-shifting can be turned +on/off as desired. + +

+Another strategy can be to simply specify how many iterations (cycles) you wish +each type of procedure to be used. The necessary keywords to control +the number of damping cycles (ncydp), the number of DIIS cycles +(ncyds), and the number of level-shifting cycles (ncysh) are input as, +

+  CONVERGENCE  [ncydp <integer ncydp default 2>] \
+               [ncyds <integer ncyds default 30>] \
+               [ncysh <integer ncysh default 0>]
+
+ +

+The amount of damping, level-shifting, time at which level-shifting is +automatically imposed, and Fock matrices used in the DIIS +extrapolation can be modified by the following keywords +

+  CONVERGENCE  [damp <integer ndamp default 0>] \
+               [diis [nfock <integer nfock default 10>]] \
+               [lshift <real lshift default 0.5>] \
+               [hl_tol <real hl_tol default 0.1>]]
+
+ +

+Damping is defined to be the percentage of the previous iterations +density mixed with the current iterations density. So, for example +

+  CONVERGENCE damp 70
+
+would mix 30% of the current iteration density with 70% of the +previous iteration density. + +

+Level-Shifting11.4 is defined as the +amount of shift applied to the diagonal elements of the unoccupied +block of the Fock matrix. The shift is specified by the +keyword lshift. For example the directive, +

+  CONVERGENCE lshift 0.5
+
+causes the diagonal elements of the Fock matrix +corresponding to the virtual orbitals to be shifted by 0.5 a.u. +By default, this level-shifting procedure is switched on whenever the +HOMO-LUMO gap is small. Small is defined by default to be 0.05 au but +can be modified by the directive hl_tol. An example of +changing the HOMO-LUMO gap tolerance to 0.01 would be, +
+  CONVERGENCE hl_tol 0.01
+
+ +

+Direct inversion of the iterative subspace with extrapolation of up to +10 Fock matrices is a default optimization procedure. For large +molecular systems the amount of available memory may preclude the ability to +store this number of N**2 arrays in global memory. The user may then +specify the number of Fock matrices to be used in the extrapolation +(must be greater than three (3) to be effective). To set the number of +Fock matrices stored and used in the extrapolation procedure to 3 +would take the form, +

+  CONVERGENCE diis 3
+
+ +

+The user has the ability to simply turn off any optimization +procedures deemed undesirable with the obvious keywords, +

+  CONVERGENCE [nodamping] [nodiis] [nolevelshifting]
+
+ +

+For systems where the initial guess is very poor, the user can try the +method described in +11.5that makes use of fractional occupation of the orbital levels during +the initial cycles of the SCF convergence. The input has the following form + +

+

+  CONVERGENCE rabuck [n_rabuck <integer n_rabuck default 25>]]
+
+ +

+where the optional value n_rabuck determines the number of SCF +cycles during which the method will be active. For example, to +set equal to 30 the number of cycles where the Rabuck method is +active, you need to use the following line +

+  CONVERGENCE rabuck 30
+
+ +

+ +

+ +
+11.8 SMEAR -- Fractional Occupation of the Molecular Orbitals +

+ +

+The SMEAR keyword is useful in cases with many degenerate states +near the HOMO (eg metallic clusters) + +

+

+  SMEAR <real smear default 0.001>
+
+ +

+This option allows fractional occupation of the molecular orbitals. +A Gaussian broadening function of exponent smear is used as described in +the paper: +R.W. Warren RW and B.I. Dunlap, Chem. Phys. Letters 262, 384 (1996). +
+The user must be aware that an additional energy term is added to the total +energy in order to have +energies and gradients consistent. + +

+ +

+ +
+11.9 GRID -- Numerical Integration of the XC Potential +

+
+  GRID [(xcoarse||coarse||medium||fine||xfine) default medium] \
+       [(gausleg||lebedev ) default lebedev ] \
+       [(becke||erf1||erf2||ssf) default erf1] \
+       [(euler||mura||treutler) default mura] \
+       [rm <real rm default 2.0>] \
+       [nodisk]
+
+ +

+A numerical integration is necessary for the evaluation of the +exchange-correlation contribution to the density functional. The +default quadrature used for the numerical integration is an +Euler-MacLaurin scheme for the radial components (with a modified +Mura-Knowles transformation) +and a Lebedev +scheme for the angular components. Within this numerical +integration procedure various levels of accuracy have been defined and +are available to the user. The user can specify the level of accuracy +with the keywords; xcoarse, coarse, medium, fine, and xfine. The +default is medium. + +

+

+  GRID [xcoarse||coarse||medium||fine||xfine]
+
+ +

+Our intent is to have a numerical integration scheme which would give +us approximately the accuracy defined below regardless of molecular +composition. +

+ + + + + + + + + + + + + + + + + + + +
KeywordTotal Energy Target Accuracy
xcoarse$1x10^{-4}$
coarse$1x10^{-5}$
medium$1x10^{-6}$
fine$1x10^{-7}$
xfine$1x10^{-8}$
+
+
+ +

+In order to determine the level of radial and angular quadrature needed +to give us the target accuracy we computed total DFT energies +at the LDA level of theory for many +homonuclear atomic, diatomic and triatomic systems in rows 1-4 of the +periodic table. In each case all bond lengths were set to twice the +Bragg-Slater radius. The total DFT energy of the system was computed +using the converged SCF density with atoms having radial shells +ranging from 35-235 (at fixed 48/96 angular quadratures) and angular +quadratures of 12/24-48/96 (at fixed 235 radial shells). The error of +the numerical integration was determined by comparison to a ``best'' +or most accurate calculation in which a grid of 235 radial points 48 +theta and 96 phi angular points on each atom was used. This +corresponds to approximately 1 million points per atom. The following +tables were empirically determined to give the desired target accuracy +for DFT total energies. These tables below show the number of radial and +angular shells which the DFT module will use for for a given atom +depending on the row it is in (in the periodic table) and the desired +accuracy. Note, differing atom types in a given molecular system will +most likely have differing associated numerical grids. The intent is +to generate the desired energy accuracy (with utter disregard for speed). + +

+
+

+
+

+

+
+
+
+

+

+ + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 11.2: +Program default number of radial and angular shells empirically determined for Row 1 atoms + (Li $\rightarrow $ F) to reach the desired accuracies.
KeywordRadialAngular
xcoarse21194
coarse35302
medium49434
fine70590
xfine1001202
+
+
+
+ +

+
+

+
+

+

+
+
+
+

+

+ + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 11.3: +Program default number of radial and angular shells empirically determined for Row 2 atoms + (Na $\rightarrow $ Cl) to reach the desired accuracies.
KeywordRadialAngular
xcoarse42194
coarse70302
medium88434
fine123770
xfine1251454
+
+
+
+ +

+
+

+
+

+

+
+
+
+

+

+ + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 11.4: +Program default number of radial and angular shells empirically determined for Row 3 atoms + (K $\rightarrow $ Br) to reach the desired accuracies.
KeywordRadialAngular
xcoarse75194
coarse95302
medium112590
fine130974
xfine1601454
+
+
+
+ +

+
+

+
+

+

+
+
+
+

+

+ + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 11.5: +Program default number of radial and angular shells empirically determined for Row 4 atoms + (Rb $\rightarrow $ I) to reach the desired accuracies.
KeywordRadialAngular
xcoarse84194
coarse104302
medium123590
fine141974
xfine2051454
+
+
+
+ +

+ +

+ +

+11.9.1 Angular grids +

+ +

+In addition to the simple keyword specifying the desired accuracy as +described above, the user has the option of specifying a custom +quadrature of this type in which ALL atoms have the same grid +specification. This is accomplished by using the gausleg keyword. + +

+ +

+11.9.1.0.1 Gauss-Legendre angular grid +

+ +

+

+  GRID gausleg <integer nradpts default 50> <integer nagrid default 10>
+
+ +

+In this type of grid, the number of phi points is twice the number of +theta points. So, for example, a specification of, +

+  GRID gausleg 80 20
+
+would be interpreted as 80 radial points, 20 theta points, and 40 +phi points per center (or 64000 points per center before pruning). + +

+ +

+11.9.1.0.2 Lebedev angular grid +

+ +

+A second quadrature is the Lebedev +scheme for the angular components11.6. +Within this numerical integration procedure various levels +of accuracy have also been defined and are available to the user. +The input for this type of grid takes the form, +

+  GRID lebedev <integer radpts > <integer iangquad >
+
+In this context the variable iangquad specifies a certain number of +angular points as indicated by the table below.11.7 +

+
+ + + +
Table 11.6: +List of Lebedev quadratures
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
$IANGQUAD$$N_{angular}$$l$
1389
25011
37413
48615
511017
614619
717021
819423
923025
1026627
1130229
1235031
1343435
1459041
1577047
1697453
17120259
18145465
19173071
20203077
21235483
22270289
23307495
243470101
253890107
264334113
274802119
285294125
295810131
+
+
+

+
+Therefore the user can specify any number of radial points along with +the level of angular quadrature (1-29). + +

+The user can also specify grid parameters specific for a given atom type: +parameters that must be supplied are: atom tag and number of radial points. +As an example, here is a grid input line for the water molecule +

+grid lebedev 80 11 H 70 8  O 90 11
+
+ +

+ +

+11.9.2 Partitioning functions +

+ +

+

+  GRID [(becke||erf1||erf2||ssf) default erf1]
+
+ +

+

+
becke
+
A. D. Becke, J. Chem. Phys. 88, 1053 (1988). +
+
ssf
+
R.E.Stratmann, G.Scuseria and M.J.Frisch, +Chem. Phys. Lett. 257, 213 (1996). +
+
erf1
+
modified ssf +
+
erf2
+
modified ssf +
+
+ +

+Erf$n$ partioning functions + +

+

+
+ +\begin{eqnarray*}
+w_A(r) & = & \prod_{B\neq A}\frac{1}{2} \left[1 \ - \
+erf(\mu...
+...thbf r}_B}
+{\left\vert{\mathbf r}_A - {\mathbf r}_B \right\vert}
+\end{eqnarray*} +

+

+

+ +

+ +

+11.9.3 Radial grids +

+ +

+

+  GRID [[euler||mura||treutler]  default mura]
+
+ +

+

+
euler
+
Euler-McLaurin quadrature wih the transformation + devised by +C.W. Murray, N.C. Handy, and G.L. Laming, +Mol. Phys.78, 997 (1993). + +
+
mura
+
Modification of the Murray-Handy-Laming scheme by +M.E.Mura and P.J.Knowles, J Chem Phys 104, 9848 +(1996) (we are not using the scaling factors proposed +in this paper). +
+
treutler
+
Gauss-Chebyshev using the transformation suggested + by O.Treutler and R.Alrhichs, J.Chem.Phys 102, 346 (1995). +
+
+ +

+ +

+11.9.4 Disk usage for Grid +

+ +

+

+  NODISK
+
+ +

+This keyword turns off storage of grid points and weights on disk. + +

+ +

+11.10 TOLERANCES -- Screening tolerances +

+ +

+

+  TOLERANCES [[tight] [tol_rho <real tol_rho default 1e-10>] \
+              [accCoul <integer accCoul default 8>] \
+              [radius <real radius default 25.0>]]
+
+The user has the option of controlling screening for the tolerances in +the integral evaluations for the DFT module. In most applications, +the default values will be adequate for the calculation, but different +values can be specified in the input for the DFT module using the +keywords described below. + +

+The input +parameter accCoul is used to define the tolerance in Schwarz +screening for the Coulomb integrals. Only integrals with estimated +values greater than +$10^{(-{\tt accCoul})}$ are evaluated. + +

+

+  TOLERANCES accCoul <integer accCoul default 8>
+
+ +

+Screening away needless computation of the XC functional (on the grid) +due to negligible density is also possible with the use of, +

+  TOLERANCES tol_rho <real tol_rho default 1e-10>
+
+XC functional computation is bypassed if the corresponding density +elements are less than tol_rho. + +

+A screening parameter, radius, used in the screening of the +Becke or Delley spatial weights is also available as, +

+  TOLERANCES radius <real radius default 25.0>
+
+where radius is the cutoff value in bohr. + +

+The tolerances as discussed previously are insured at convergence. +More sleazy tolerances are invoked early in the iterative process +which can speed things up a bit. This can also be problematic at +times because it introduces a discontinuity in the convergence +process. To avoid use of initial sleazy tolerances the user can +invoke the tight option: + +

+

+  TOLERANCES tight
+
+ +

+This option sets all tolerances to their +default/user specified values at the very first iteration. + +

+ +

+11.11 DIRECT and NOIO -- Hardware Resource Control +

+
+  DIRECT||INCORE
+  NOIO
+
+ +

+ +

+The inverted charge-density and exchange-correlation matrices +for a DFT calculation are normally written to disk storage. The user +can prevent this by specifying the keyword noio within the +input for the DFT directive. The input to exercise this option is +as follows, +

+   noio
+
+If this keyword is encountered, then the two matrices (inverted +charge-density and exchange-correlation) are computed ``on-the-fly'' +whenever needed. + +

+The INCORE option is always assumed to be true but can be +overridden with the option DIRECT in which case all integrals +are computed ``on-the-fly''. + +

+ +

+ +

+11.12 ODFT and MULT -- Open shell systems +

+
+  ODFT
+  MULT <integer mult default 1>
+
+ +

+Both closed-shell and open-shell systems can be studied using +the DFT module. Specifying the keyword MULT within the DFT +directive allows the user to define the spin multiplicity of the system. +The form of the input line is as follows; +

+   MULT <integer mult default 1>
+
+When the keyword MULT is specified, the user can define the integer +variable mult, where mult is equal to the number of alpha +electrons minus beta electrons, plus 1. + +

+The keyword ODFT is unnecessary except in the context +of forcing a singlet system to be computed as an open shell +system (i.e., using a spin-unrestricted wavefunction). + +

+ +

+11.13 SIC -- Self-Interaction Correction +

+ +

+

+sic [perturbative || oep || oep-loc <default perturbative>]
+
+ +

+The Perdew and Zunger (see J. P. Perdew and A. Zunger, Phys. Rev. B 23, +5048 (1981)) method to remove the self-interaction contained in many +exchange-correlation functionals has been implemented with the +Optimized Effective Potential method +(see R. T. Sharp and G. K. Horton, Phys. Rev. 90, 317 (1953), +J. D. Talman and W. F. Shadwick, Phys. Rev. A 14, 36 (1976)) +within the Krieger-Li-Iafrate approximation (J. B. Krieger, Y. Li, +and G. J. Iafrate, Phys. Rev. A 45, 101 (1992); 46, 5453 (1992); +47, 165 (1993)) +Three variants of these methods are included in NWChem: + +

    +
  • sic perturbative This is the default option for the sic +directive. After a self-consistent calculation, the Kohn-Sham +orbitals are localized with the Foster-Boys algorithm (see section +10.15) and the self-interaction energy is added to the total energy. +All exchange-correlation functionals implemented in the NWChem can be +used with this option. +
  • +
  • sic oep With this option the optimized effective potential is +built in each step of the self-consistent process. Because the electrostatic +potential generated for each orbital involves a numerical +integration, this method can be expensive. +
  • +
  • sic oep-loc +This option is similar to the oep option with the +addition of localization of the Kohn-Sham orbitals in each step of the +self-consistent process. +
  • +
+With oep and oep-loc options a xfine grid (see section 11.9) +must be used in order to avoid numerical noise, furthermore the hybrid +functionals can not be used with these options. More details of the +implementation of this method can be found in +J. Garza, J. A. Nichols and D. A. Dixon, J. Chem. Phys. 112, 7880 (2000). +The components of the sic energy can be printed out using: + +

+

+print "SIC information"
+
+ +

+ +

+11.14 MULLIKEN -- Mulliken analysis +

+Mulliken analysis of the charge distribution is invoked by the keyword: +
+  MULLIKEN
+
+When this keyword is encountered, Mulliken analysis of both the input +density as well as the output density will occur. +For example, to perform a mulliken analysis and print the +explicit population analysis of the basis functions, use +the following +
+dft
+ mulliken
+ print "mulliken ao"
+end
+task dft
+
+ +

+ +

+11.15 BSSE -- Basis Set Superposition Error +

+ +

+Particular care is required to compute BSSE by the counter-poise +method for the DFT module. In order to include terms deriving from +the numerical grid used in the XC integration, the user must label +the ghost atoms not just bq, but bq followed by the given +atomic symbol. For example, the first component needed to compute the +BSSE for the water dimer, should be written as follows + +

+

+geometry h2o autosym units au
+ O        0.00000000     0.00000000     0.22143139
+ H        1.43042868     0.00000000    -0.88572555
+ H       -1.43042868     0.00000000    -0.88572555
+ bqH      0.71521434     0.00000000    -0.33214708
+ bqH     -0.71521434     0.00000000    -0.33214708
+ bqO      0.00000000     0.00000000    -0.88572555
+end
+
+basis
+ H library aug-cc-pvdz
+ O library aug-cc-pvdz
+ bqH library H aug-cc-pvdz
+ bqO library O aug-cc-pvdz
+end
+
+ +

+Please note that the ``ghost'' oxygen atom has been labeled bqO, +and not just bq. + +

+11.16 Print Control +

+
+  PRINT||NOPRINT
+
+ +

+The PRINT||NOPRINT options control the level of output in the +DFT. Please see some examples using this directive in +section 11.5, a sample input file. + Known controllable print options are: + +

+

+
+ + + +
Table 11.7: +DFT Print Control Specifications
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
NamePrint LevelDescription
``all vector symmetries''highsymmetries of all molecular orbitals
``alpha partner info''highunpaired alpha orbital analysis
``common''debugdump of common blocks
``convergence''defaultconvergence of SCF procedure
``coulomb fit''highfitting electronic charge density
``dft timings''high 
``final vectors''high 
``final vector symmetries''defaultsymmetries of final molecular orbitals
``information''lowgeneral information
``initial vectors''high 
``intermediate energy info''high 
``intermediate evals''highintermediate orbital energies
``intermediate fock matrix''high 
``intermediate overlap''highoverlaps between the alpha and beta sets
``intermediate S2''highvalues of S2
``intermediate vectors''highintermediate molecular orbitals
``interm vector symm''highsymmetries of intermediate orbitals
``io info''debugreading from and writing to disk
``kinetic_energy''highkinetic energy
``mulliken ao''highmulliken atomic orbital population
``multipole''defaultmoments of alpha, beta, and nuclear charge densities
``parameters''defaultinput parameters
``quadrature''highnumerical quadrature
``schwarz''highintegral screening info & stats at completion
``screening parameters''highintegral accuracies
``semi-direct info''defaultsemi direct algorithm
+
+
+

+
+ +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 12. Spin-Orbit DFT (SODFT) + Up: user + Previous: 10. Hartree-Fock or Self-consistent +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node14.html b/web/doc/user.4.6/node14.html new file mode 100644 index 0000000000..597c50eec5 --- /dev/null +++ b/web/doc/user.4.6/node14.html @@ -0,0 +1,261 @@ + + + + + +12. Spin-Orbit DFT (SODFT) + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 13. COSMO + Up: user + Previous: 11. DFT for Molecules +   Contents +
+
+ + +

+12. Spin-Orbit DFT (SODFT) +

+ +

+The spin-orbit DFT module (SODFT) in the NWChem code allows for the variational treatment +of the one-electron spin-orbit operator within the DFT framework. The implementation +requires the definition of an effective core potential (ECP) and a matching spin-orbit +potential (SO). The current implementation does NOT use symmetry. + +

+The actual SODFT calculation will be performed when the input module +encounters the TASK directive (Section 5.10). + +

+

+  TASK SODFT
+
+ +

+Input parameters are the same as for the DFT, see section 11 for specifications. +Some of the DFT options are not available in the SODFT. These are max_ovl and +sic. + +

+Besides using the standard ECP and basis sets, see Section 8 for details, one +also has to specify a spin-orbit (SO) potential. The input specification for the SO potential +can be found in section 8.2. At this time we have not included any spin-orbit +potentials in the basis set library. + +

+Note: One should use a combination of ECP and SO potentials that were designed for the same +size core, i.e. don't use a small core ECP potential with a large core SO potential (it will +produce erroneous results). + +

+The following is an example of a calculation of $\mathrm{UO_2}$: + +

+

+start uo2_sodft
+echo
+
+Memory 32 mw
+
+charge 2
+
+geometry noautoz noautosym units angstrom
+ U     0.00000      0.00000     0.00000
+ O     0.00000      0.00000     1.68000
+ O     0.00000      0.00000    -1.68000
+end
+
+basis "ao basis" cartesian print
+U    S
+        12.12525300         0.02192100
+         7.16154500        -0.22516000
+         4.77483600         0.56029900
+         2.01169300        -1.07120900
+U    S
+         0.58685200         1.00000000
+U    S
+         0.27911500         1.00000000
+U    S
+         0.06337200         1.00000000
+U    S
+         0.02561100         1.00000000
+U    P
+        17.25477000         0.00139800
+         7.73535600        -0.03334600
+         5.15587800         0.11057800
+         2.24167000        -0.31726800
+U    P
+         0.58185800         1.00000000
+U    P
+         0.26790800         1.00000000
+U    P
+         0.08344200         1.00000000
+U    P
+         0.03213000         1.00000000
+U    D
+         4.84107000         0.00573100
+         2.16016200        -0.05723600
+         0.57563000         0.23882800
+U    D
+         0.27813600         1.00000000
+U    D
+         0.12487900         1.00000000
+U    D
+         0.05154800         1.00000000
+U    F
+         2.43644100         0.35501100
+         1.14468200         0.40084600
+         0.52969300         0.30467900
+U    F
+         0.24059600         1.00000000
+U    F
+         0.10186700         1.00000000
+O    S
+        47.10551800        -0.01440800
+         5.91134600         0.12956800
+         0.97648300        -0.56311800
+O    S
+         0.29607000         1.00000000
+O    P
+        16.69221900         0.04485600
+         3.90070200         0.22261300
+         1.07825300         0.50018800
+O    P
+         0.28418900         1.00000000
+O    P
+         0.07020000         1.00000000
+END
+
+ECP
+U nelec 78
+  U s
+    2          4.06365300        112.92010300
+    2          1.88399500         15.64750000
+    2          0.88656700         -3.68997100
+  U p
+    2          3.98618100        118.75801600
+    2          2.00016000         15.07722800
+    2          0.96084100          0.55672000
+  U d
+    2          4.14797200         60.85589200
+    2          2.23456300         29.28004700
+    2          0.91369500          4.99802900
+  U f
+    2          3.99893800         49.92403500
+    2          1.99884000        -24.67404200
+    2          0.99564100          1.38948000
+O nelec 2
+  O s
+    2         10.44567000         50.77106900
+  O p
+    2         18.04517400         -4.90355100
+  O d
+    2          8.16479800         -3.31212400
+END
+
+SO
+  U p
+  2    3.986181      1.816350
+  2    2.000160     11.543940
+  2    0.960841      0.794644
+  U d
+  2    4.147972      0.353683
+  2    2.234563      3.499282
+  2    0.913695      0.514635
+  U f
+  2    3.998938      4.744214
+  2    1.998840     -5.211731
+  2    0.995641      1.867860
+END
+
+dft
+  mult 1
+  xc hfexch
+  odft
+  grid fine
+  convergence energy 1.000000E-06
+  convergence density 1.000000E-05
+  convergence gradient 1E-05
+  iterations 100
+  mulliken
+end
+
+task sodft
+
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 13. COSMO + Up: user + Previous: 11. DFT for Molecules +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node15.html b/web/doc/user.4.6/node15.html new file mode 100644 index 0000000000..dd5f64ccdf --- /dev/null +++ b/web/doc/user.4.6/node15.html @@ -0,0 +1,310 @@ + + + + + +13. COSMO + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 14. CIS, TDHF, and + Up: user + Previous: 12. Spin-Orbit DFT (SODFT) +   Contents +
+
+ + +

+13. COSMO +

+ +

+COSMO is the continuum solvation `COnductor-like Screening MOdel' +of A. Klamt and G. Schüürmann to describe dielectric screening +effects in solvents. + +

+ +

    +
  1. A. Klamt and G. Schüürmann, J. Chem. Soc. Perkin Trans. 2, 1993 +799 (1993). +
  2. +
+ +

+The NWChem COSMO module implements algorithm for calculation of the +energy for the following methods: + +

    +
  1. Restricted Hartree-Fock (RHF), +
  2. +
  3. Restricted open-shell Hartree-Fock (ROHF), +
  4. +
  5. Restricted Kohn-Sham DFT (DFT), +
  6. +
  7. Unrestricted Kohn-Sham DFT (ODFT), +
  8. +
+by determining the solvent reaction field self-consistently +with the solute charge distribution from the respective methods. +Note that COSMO for unrestricted Hartree-Fock (UHF) method +can also be performed by invoking the DFT module with appropriate +keywords. + +

+Correlation energy of solvent molecules may also be evaluated at + +

    +
  1. MP2, +
  2. +
  3. CCSD, +
  4. +
  5. CCSD+T(CCSD), +
  6. +
  7. CCSD(T), +
  8. +
+levels of theory. It is cautioned, +however, that these correlated COSMO calculations determine +the solvent reaction field using the HF charge distribution of +the solute rather than the charge distribution of the correlation +theory and are not entirely self consistent in that respect. +In other words, these calculations assume that the correlation +effect and solvation effect are largely additive, and the combination +effect thereof is neglected. +COSMO for MCSCF has not been implemented yet. + +

+In the current implementation the code +calculates the gas-phase energy of the system followed by the +solution-phase energy, and returns the electrostatic contribution +to the solvation free energy. +At the present gradients are calculated by finite +difference of the energy. Known problems include that the code does not +work with spherical basis functions. +The code does not calculate the +non-electrostatic contributions to the free energy, except for +the cavitation/dispersion contribution to the solvation free energy, +which is computed and printed. +It should be noted that one must in general take into account +the standard state correction besides the electrostatic +and cavitation/dispersion contribution to the solvation free energy, +when a comparison to experimental data is made. + +

+Invoking the COSMO solvation model is done by specifying the input +COSMO input block with the input options as: +

+cosmo
+   [off]
+   [dielec  <real dielec default 78.4>]
+   [radius  <real atom1>
+            <real atom2>
+       . . .
+            <real atomN>]
+   [rsolv   <real rsolv default 0.00>]
+   [iscren  <integer iscren default 0>]
+   [minbem  <integer minbem default 2>]
+   [maxbem  <integer maxbem default 3>]
+   [ificos  <integer ificos default 0>]
+   [lineq   <integer lineq default 1>]
+end
+
+followed by the task directive specifying the wavefunction and +type of calculation, e.g., task scf energy, task mp2 energy, +task dft optimize, etc. + +

+off can be used to turn off COSMO in a compound (multiple task) +run. By default, once the COSMO solvation model has been defined it will +be used in subsequent calculations. Add the keyword off if COSMO +is not needed in subsequent calculations. + +

+Dielec is the value of the dielectric constant of the medium, +with a default value of 78.4 (the dielectric constant for water). + +

+Radius is an array that specifies the radius of the spheres +associated with each atom and that make up the molecule-shaped cavity. +Default values are Van der Waals radii. Values are in units of angstroms. +The codes uses the following Van der Waals radii by default: +

+      data vdwr(103) /
+     1   0.80,0.49,0.00,0.00,0.00,1.65,1.55,1.50,1.50,0.00,
+     2   2.30,1.70,2.05,2.10,1.85,1.80,1.80,0.00,2.80,2.75,
+     3   0.00,0.00,1.20,0.00,0.00,0.00,2.70,0.00,0.00,0.00,
+     4   0.00,0.00,0.00,1.90,1.90,0.00,0.00,0.00,0.00,1.55,
+     5   0.00,1.64,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,
+     6   0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,
+     7   0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,
+     8   0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,
+     9   0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,
+     1   0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,1.65,
+     2   0.00,0.00,0.00/
+
+with 0.0 values replaced by 1.80. Other radii can be used as well. +See for examples: + +

+ +

    +
  1. E. V. Stefanovich and T. N. Truong, Chem. Phys. Lett. 244, 65 (1995). +
  2. +
  3. V. Barone, M. Cossi, and J. Tomasi, J. Chem. Phys. 107, 3210 (1997). +
  4. +
+ +

+Rsolv is a parameter used to define the solvent accessible +surface. See the original reference of Klamt and Schuurmann for a +description. The default value is 0.00 (in angstroms). + +

+Iscren is a flag to define the dielectric charge scaling option. +``iscren 1'' implies the original scaling from Klamt and Schüürmann, +mainly `` +$(\epsilon-1)/(\epsilon+1/2)$'', where $\epsilon$ is the dielectric constant. +``iscren 0'' implies the modified scaling suggested by Stefanovich and +Truong, mainly `` +$(\epsilon-1)/\epsilon$''. Default is to use the modified scaling. +For high dielectric the difference between the scaling is not +significant. + +

+The next three parameters define the tesselation of the unit sphere. +The approach follows the original proposal by Klamt and Schüürmann. +A very fine tesselation is generated from maxbem refining +passes starting from either an octahedron or an icosahedron. The +boundary elements created with the fine tesselation are condensed +down to a coarser tesselation based on minbem. The induced +point charges from the polarization of the medium are assigned to +the centers of the coarser tesselation. Default values are +``minbem 2'' and ``maxbem 3''. The flag ificos serves to +select the original tesselation, ``ificos 0'' for an octahedron +(default) and ``ificos 1'' for an icoshedron. Starting from an icosahedron +yields a somewhat finer tesselation that converges somewhat faster. +Solvation energies are not really sensitive to this choice for +sufficiently fine tesselations. + +

+The lineq parameter serves to select the numerical algorithm to solve +the linear equations yielding the effective charges that represent +the polarization of the medium. ``lineq 0'' selects an iterative method +(default), ``lineq 1'' selects a dense matrix linear equation solver. +For large molecules where the number of effective charges is large, +the codes selects the iterative method. + +

+The following example is for a water molecule in `water', using +the HF/6-31G** level of theory: + +

+

+start
+echo
+ title "h2o"
+geometry
+o                  .0000000000         .0000000000        -.0486020332
+h                  .7545655371         .0000000000         .5243010666
+h                 -.7545655371         .0000000000         .5243010666
+end
+basis segment cartesian
+  o library 6-31g**
+  h library 6-31g**
+end
+cosmo
+  dielec 78.0
+  radius 1.40
+         1.16
+         1.16
+  rsolv  0.50
+  lineq  0
+end
+task scf energy
+
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 14. CIS, TDHF, and + Up: user + Previous: 12. Spin-Orbit DFT (SODFT) +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node16.html b/web/doc/user.4.6/node16.html new file mode 100644 index 0000000000..3b0283e289 --- /dev/null +++ b/web/doc/user.4.6/node16.html @@ -0,0 +1,800 @@ + + + + + +14. CIS, TDHF, and TDDFT + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 15. Tensor Contraction Engine + Up: user + Previous: 13. COSMO +   Contents +
+
+ + +Subsections + + + +
+ +

+14. CIS, TDHF, and TDDFT +

+ +

+ +

+14.1 Overview +

+ +

+NWChem supports a spectrum of single excitation theories for +vertical excitation energy calculations, namely, configuration interaction +singles (CIS),14.1 +time-dependent Hartree-Fock (TDHF or also known as +random-phase approximation RPA), time-dependent density functional +theory (TDDFT),14.2 +and Tamm-Dancoff approximation to TDDFT.14.3These methods +are implemented in a single framework that invokes Davidson's trial vector +algorithm (or its modification for a non-Hermitian eigenvalue problem).14.4The capabilities of the module are summarized as follows: + +

    +
  • Vertical excitation energies, +
  • +
  • Spin-restricted singlet and triplet excited states for closed-shell systems, +
  • +
  • Spin-unrestricted doublet, etc., excited states for open-shell systems, +
  • +
  • Tamm-Dancoff and full time-dependent linear response theories, +
  • +
  • Davidson's trial vector algorithm, +
  • +
  • Symmetry (irreducible representation) characterization and specification, +
  • +
  • Spin multiplicity characterization and specification, +
  • +
  • Transition moments and oscillator strengths, +
  • +
  • Geometrical first and second derivatives of vertical excitation energies +by numerical differentiation, +
  • +
  • Disk-based and fully incore algorithms, +
  • +
  • Multiple and single trial-vector processing algorithms, +
  • +
  • Frozen core and virtual approximation. +
  • +
+ +

+New capability added in the latest version (4.6) is: + +

    +
  • Asymptotically correct exchange-correlation potential by van Leeuwen and Baerends,14.5 +
  • +
  • Asymptotic correction by Casida and Salahub,14.6 +
  • +
  • Asymptotic correction by Hirata, Zhan, Aprà, Windus, and Dixon.14.7 +
  • +
+These are very effective way to rectify the shortcomings of TDDFT when applied to Rydberg excited states (see below). + +

+ +

+14.2 Performance of CIS, TDHF, and TDDFT methods +

+ +

+The accuracy of CIS and TDHF for excitation energies of closed-shell systems +are comparable to each other, and are normally considered a zeroth-order +description of the excitation process. These methods are particularly well balanced +in describing Rydberg excited states, in contrast to TDDFT. +However, for open-shell systems, +the errors in the CIS and TDHF excitation energies are often excessive, primarily +due to the multi-determinantal character of the ground and excited state wave functions +of open-shell systems in a HF reference.14.8 +The scaling of the computational cost of a CIS +or TDHF calculation per state with respect to the system size is the same as that for +a HF calculation for the ground state, since the critical step of the both methods are +the Fock build, namely, the contraction of two-electron integrals with density matrices. +It is usually necessary to include two sets of diffuse exponents in the basis set +to properly account for the diffuse Rydberg excited states of neutral species. + +

+The accuracy of TDDFT may vary depending on the exchange-correlation functional. +In general, the exchange-correlation functionals that are widely used today and are implemented +in NWChem work well for low-lying valence excited states. However, for high-lying diffuse +excited states and Rydberg excited states in particular, TDDFT employing these +conventional functionals breaks down and the excitation energies are substantially +underestimated. This is because of the fact that the exchange-correlation potentials +generated from these functionals decay too rapidly (exponentially) as opposed to the +slow $-1/r$ asymptotic decay of the true potential. A rough but useful index is the +negative of the highest occupied KS orbital energy; when the calculated excitation energies +become close to this threshold, these numbers are most likely underestimated relative +to experimental results.14.9 It appears that TDDFT provides a better-balanced description +of radical excited states.14.10 +This may be traced to the fact that, in DFT, the ground state +wave function is represented well as a single KS determinant, with less multi-determinantal +character and less spin contamination, and hence the excitation thereof is described well +as a simple one electron transition. The computational cost per state of TDDFT calculations +scales as the same as the ground state DFT calculations, although the prefactor of the scaling +may be much greater in the former. + +

+A very simple and effecive way to rectify the TDDFT's failure for Rydberg excited states +has been proposed by Tozer and Handy14.11 and by Casida and Salahub (see previous reference). They proposed to splice a $-1/r$ asymptotic +tail to an exchange-correlation potential that does not have the correct asymptotic behavior. +Because the approximate exchange-correlation potentials are too shallow everywhere, a negative constant +must be added to them before they can be spliced to the $-1/r$ tail seamlessly in a region that is not +sensitive to chemical effects or to the long-range behavior. The negative constant or the shift is usually +taken to be the difference of the HOMO energy from the true ionization potential, which can be obtained +either from experiment or from a $\Delta$SCF calculation. Recently, we proposed a new, expedient, and +self-contained asymptotic correction that does not require an ionization potential (or shift) as an external parameter from a separate calculation.14.12 In this scheme, the shift is computed by a semi-empirical +formula proposed by Zhan, Nichols, and Dixon.14.13 Both Casida-Salahub scheme and this new asymptotic correction scheme give considerably improved (Koopmans type) ionization potentials and Rydberg excitation energies. +The latter, however, supply the shift by itself unlike to former. + +

+ +

+14.3 Input syntax +

+ +

+The module is called TDDFT as TDDFT employing a hybrid HF-DFT functional +encompasses all of the above-mentioned methods implemented. To use this +module, one needs to specify TDDFT on the task directive, e.g., +

+      TASK TDDFT ENERGY
+
+for a single-point excitation energy calculation, and +
+      TASK TDDFT OPTIMIZE
+
+for an excited-state geometry optimization (and perhaps an adiabatic +excitation energy calculation), and +
+      TASK TDDFT FREQUENCIES
+
+for an excited-state vibrational frequency calculation. The TDDFT module +first invokes DFT module for a ground-state calculation (regardless of +whether the calculations uses a HF reference as in CIS or TDHF or a DFT +functional), and hence there is no need to perform a separate ground-state +DFT calculation prior to calling a TDDFT task. When no second argument +of the task directive is given, a single-point excitation energy calculation +will be assumed. For geometry optimizations, it is usually necessary to +specify the target excited state and its irreducible representation it +belongs to. See the subsections TARGET and TARGETSYM for +more detail. + +

+Individual parameters and keywords may be supplied in the TDDFT input +block. The syntax is: +

+  TDDFT
+    [(CIS||RPA) default RPA]
+    [NROOTS <integer nroots default 1>]
+    [MAXVECS <integer maxvecs default 1000>]
+    [(SINGLET||NOSINGLET) default SINGLET]
+    [(TRIPLET||NOTRIPLET) default TRIPLET]
+    [THRESH <double thresh default 1e-4>]
+    [MAXITER <integer maxiter default 100>]
+    [TARGET <integer target default 1>]
+    [TARGETSYM <character targetsym default 'none'>]
+    [SYMMETRY]
+    [ALGORITHM <integer algorithm default 0>]
+    [FREEZE [[core] (atomic || <integer nfzc default 0>)] \
+             [virtual <integer nfzv default 0>]]
+    [PRINT (none||low||medium||high||debug)
+      <string list_of_names ...>]
+  END
+
+ +

+The user can also specify the reference wave function in the DFT input block +(even when CIS and TDHF calculations are requested). See the section of Sample +input and output for more details. + +

+Since each keyword has a default value, a minimal input file will be +

+  GEOMETRY
+  Be 0.0 0.0 0.0
+  END
+
+  BASIS
+  Be library 6-31G**
+  END
+
+  TASK TDDFT ENERGY
+
+ +

+Note that the keyword for the asymptotic correction must be given in the +DFT input block, since all the effects of the correction (and also changes in the +computer program) occur in the SCF calculation stage. See Chapter 11 (keyword CS00 and +LB94) for details. + +

+ +

+14.4 Keywords of TDDFT input block +

+ +

+ +

+14.4.1 CIS and RPA -- the Tamm-Dancoff approximation +

+ +

+These keywords toggle the Tamm-Dancoff approximation. CIS means +that the Tamm-Dancoff approximation is used and the CIS or Tamm-Dancoff TDDFT +calculation is requested. RPA, which is the default, requests +TDHF (RPA) or TDDFT calculation. + +

+The performance of CIS (Tamm-Dancoff TDDFT) and RPA (TDDFT) are comparable in +accuracy. However, the computational cost is slightly greater in the latter due to +the fact that the latter involves a non-Hermitian eigenvalue problem and requires +left and right eigenvectors while the former needs just one set of eigenvectors of +a Hermitian eigenvalue problem. The latter has much greater chance of +aborting the calculation due to triplet near instability or other instability +problems. + +

+ +

+14.4.2 NROOTS -- the number of excited states +

+ +

+One can specify the number of excited state roots to be determined. The default +value is 1. It is advised that the users request several more roots than actually +needed, since owing to the nature of the trial vector algorithm, some low-lying +roots can be missed when they do not have sufficient overlap with the initial guess +vectors. + +

+ +

+14.4.3 MAXVECS -- the subspace size +

+ +

+This keyword limits the subspace size of Davidson's algorithm; in other words, it +is the maximum number of trial vectors that the calculation is allowed to hold. +Typically, 10 to 20 trial vectors are needed for each excited state root to be +converged. However, it need not exceed the product of the number of occupied +orbitals and the number of virtual orbitals. The default value is 1000. + +

+ +

+14.4.4 SINGLET and NOSINGLET -- singlet excited states +

+ +

+SINGLET (NOSINGLET) requests (suppresses) the calculation of singlet +excited states when the reference wave function is closed shell. The default +is SINGLET. + +

+ +

+14.4.5 TRIPLET and NOTRIPLET -- triplet excited states +

+ +

+TRIPLET (NOTRIPLET) requests (suppresses) the calculation of triplet +excited states when the reference wave function is closed shell. The default +is TRIPLET. + +

+ +

+14.4.6 THRESH -- the convergence threshold of Davidson iteration +

+ +

+This keyword specifies the convergence threshold of Davidson's iterative algorithm +to solve a matrix eigenvalue problem. The threshold refers to the norm of residual, +namely, the difference between the left-hand side and right-hand side of the matrix +eigenvalue equation with the current solution vector. With the default value of +1e-4, the excitation energies are usually converged to 1e-5 hartree. + +

+ +

+14.4.7 MAXITER -- the maximum number of Davidson iteration +

+ +

+It typically takes 10-30 iterations for the Davidson algorithm to get converged results. +The default value is 100. + +

+ +

+14.4.8 TARGET and TARGETSYM-- the target root and its symmetry +

+ +

+At the moment, the first and second geometrical derivatives of excitation +energies that are needed in force, geometry, and frequency calculations are +obtained by numerical differentiation. These keywords may be used to specify +which excited state root is being used for the geometrical derivative calculation. +For instance, when TARGET 3 and TARGETSYM a1g are included in the +input block, the total energy (ground state energy plus excitation energy) +of the third lowest excited state root (excluding the ground state) transforming as +the irreducible representation a1g will be passed to the module which performs +the derivative calculations. The default values of these keywords are 1 and none, +respectively. + +

+The keyword TARGETSYM is essential in excited state geometry +optimization, since it is very common that the order of excited states changes due to +the geometry changes in the course of optimization. Without specifying the TARGETSYM, +the optimizer could (and would likely) be optimizing the geometry of an excited state that +is different from the one the user had intended to optimize at the starting geometry. +On the other hand, in the frequency calculations, TARGETSYM must be none, +since the finite displacements given in the course of frequency calculations will lift +the spatial symmetry of the equilibrium geometry. When these finite displacements can +alter the order of excited states including the target state, the frequency calculation +is not be feasible. + +

+ +

+14.4.9 SYMMETRY -- restricting the excited state symmetry +

+ +

+By adding this keyword to the input block, the user can request the module to +generate the initial guess vectors transforming as the +same irreducible representation as TARGETSYM. This causes the final +excited state roots be (exclusively) dominated by those with the specified +irreducible representation. This may be useful, when the user is interested in +just the optically allowed transitions, or in the geometry optimization of +an excited state root with a particular irreducible representation. By default, +this option is not set. TARGETSYM must be specified when SYMMETRY +is invoked. + +

+ +

+14.4.10 ALGORITHM -- algorithms for tensor contractions +

+ +

+There are four distinct algorithms to choose from, and the default value +of 0 (optimal) means that the program makes an optimal choice from the four +algorithms on the basis of available memory. In the order of decreasing memory requirement, +the four algorithms are: + +

    +
  • ALGORITHM 1 : Incore, multiple tensor contraction, +
  • +
  • ALGORITHM 2 : Incore, single tensor contraction, +
  • +
  • ALGORITHM 3 : Disk-based, multiple tensor contraction, +
  • +
  • ALGORITHM 4 : Disk-based, single tensor contraction. +
  • +
+The incore algorithm stores all the trial and product vectors in memory across +different nodes with the GA, +and often decreases the MAXITER value to accommodate them. The disk-based +algorithm stores the vectors on disks across different nodes with the DRA, and +retrieves each vector one at a time when it is needed. The multiple and single +tensor contraction refers to whether just one or more than one trial vectors +are contracted with integrals. The multiple tensor contraction algorithm is +particularly effective (in terms of speed) for CIS and TDHF, since the number of +the direct evaluations of two-electron integrals is diminished substantially. + +

+ +

+14.4.11 FREEZE -- the frozen core/virtual approximation +

+ +

+Some of the lowest-lying core orbitals and/or some of the highest-lying +virtual orbitals may be excluded in the CIS, TDHF, and TDDFT calculations +by this keyword (this does not affect the ground state HF or DFT calculation). +No orbitals are frozen by default. To exclude the atom-like +core regions altogether, one may request +

+  FREEZE atomic
+
+To specify the number of lowest-lying occupied orbitals be excluded, one may use +
+  FREEZE 10
+
+which causes 10 lowest-lying occupied orbitals excluded. +This is equivalent to writing +
+  FREEZE core 10
+
+To freeze the highest virtual orbitals, use the virtual +keyword. For instance, to freeze the top 5 virtuals +
+  FREEZE virtual 5
+
+ +

+ +

+14.4.12 PRINT -- the verbosity +

+ +

+This keyword changes the level of output verbosity. One may also +request some particular items in Table 14.1 printed. + +

+
+

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 14.1: +Printable items in the TDDFT modules and their default print levels.
ItemPrint LevelDescription
``timings''highCPU and wall times spent in each step
``trial vectors''highTrial CI vectors
``initial guess''debugInitial guess CI vectors
``general information''defaultGeneral information
``xc information''defaultHF/DFT information
``memory information''defaultMemory information
``convergence''debugConvergence
``subspace''debugSubspace representation of CI matrices
``transform''debugMO to AO and AO to MO transformation of CI vectors
``diagonalization''debugDiagonalization of CI matrices
``iteration''defaultDavidson iteration update
``contract''debugIntegral transition density contraction
``ground state''defaultFinal result for ground state
``excited state''lowFinal result for target excited state
+
+
+ +

+ +

+14.5 Sample input +

+ +

+The following is a sample input for a spin-restricted TDDFT calculation of +singlet excitation energies for the water molecule at the B3LYP/6-31G*. +

+START h2o
+
+TITLE "B3LYP/6-31G* H2O"
+
+GEOMETRY
+O     0.00000000     0.00000000     0.12982363
+H     0.75933475     0.00000000    -0.46621158
+H    -0.75933475     0.00000000    -0.46621158
+END
+
+BASIS
+* library 6-31G*
+END
+
+DFT
+XC B3LYP
+END
+
+TDDFT
+RPA
+NROOTS 20
+END
+
+TASK TDDFT ENERGY
+
+ +

+To perform a spin-unrestricted TDHF/aug-cc-pVDZ calculation for the CO+ radical, +

+START co
+
+TITLE "TDHF/aug-cc-pVDZ CO+"
+
+CHARGE 1
+
+GEOMETRY
+C  0.0  0.0  0.0
+O  1.5  0.0  0.0
+END
+
+BASIS
+* library aug-cc-pVDZ
+END
+
+DFT
+XC HFexch
+MULT 2
+END
+
+TDDFT
+RPA
+NROOTS 5
+END
+
+TASK TDDFT ENERGY
+
+ +

+A geometry optimization followed by a frequency calculation for an excited state +is carried out for BF at the CIS/6-31G* level in the following sample input. +

+START bf
+
+TITLE "CIS/6-31G* BF optimization frequencies"
+
+GEOMETRY
+B 0.0 0.0 0.0
+F 0.0 0.0 1.2
+END
+
+BASIS
+* library 6-31G*
+END
+
+DFT
+XC HFexch
+END
+
+TDDFT
+CIS
+NROOTS 3
+NOTRIPLET
+TARGET 1
+END
+
+TASK TDDFT OPTIMIZE
+
+TASK TDDFT FREQUENCIES
+
+ +

+TDDFT with an asymptotically corrected SVWN exchange-correlation potential. +Casida-Salahub scheme has been used with the shift value of 0.1837 a.u. supplied +as an input parameter. +

+START tddft_ac_co
+ 
+GEOMETRY
+O 0.0 0.0  0.0000
+C 0.0 0.0  1.1283
+END
+ 
+BASIS SPHERICAL
+C library aug-cc-pVDZ
+O library aug-cc-pVDZ
+END
+ 
+DFT
+XC Slater VWN_5
+CS00 0.1837
+END
+ 
+TDDFT
+NROOTS 12
+END
+ 
+TASK TDDFT ENERGY
+
+ +

+TDDFT with an asymptotically corrected B3LYP exchange-correlation potential. +Hirata-Zhan-Apra-Windus-Dixon scheme has been used (this is only meaningful +with B3LYP functional). +

+START tddft_ac_co
+ 
+GEOMETRY
+O 0.0 0.0  0.0000
+C 0.0 0.0  1.1283
+END
+ 
+BASIS SPHERICAL
+C library aug-cc-pVDZ
+O library aug-cc-pVDZ
+END
+ 
+DFT
+XC B3LYP
+CS00
+END
+ 
+TDDFT
+NROOTS 12
+END
+ 
+TASK TDDFT ENERGY
+
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 15. Tensor Contraction Engine + Up: user + Previous: 13. COSMO +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node17.html b/web/doc/user.4.6/node17.html new file mode 100644 index 0000000000..c3f61e5e17 --- /dev/null +++ b/web/doc/user.4.6/node17.html @@ -0,0 +1,1084 @@ + + + + + +15. Tensor Contraction Engine Module: CI, MBPT, and CC + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 16. MP2 + Up: user + Previous: 14. CIS, TDHF, and +   Contents +
+
+ + +Subsections + + + +
+ +

+15. Tensor Contraction Engine Module: CI, MBPT, and CC +

+ +

+ +

+15.1 Overview +

+ +

+The Tensor Contraction Engine (TCE) Module of NWChem implements +a variety of approximations that converge at the exact solutions +of Schrödinger equation. They include configuration interaction theory +through singles, doubles, triples, and quadruples substitutions, +coupled-cluster theory through connected singles, doubles, triples, and quadruples substitutions, +and many-body perturbation theory through fourth order in its +tensor formulation. Not only optimized parallel programs of some +of these high-end correlation theories are new, but also the way in +which they have been developed is unique. The working equations +of all of these methods have been derived completely automatically by +a symbolic manipulation program called a Tensor Contraction Engine (TCE), +and the optimized parallel programs have also been computer-generated by the same program, +which were interfaced to NWChem. The development of the TCE +program and this portion of the NWChem program has been financially +supported by the United States Department of Energy, Office of Science, +Office of Basic Energy Science, through the SciDAC program. + +

+The capabilities of the module include: + +

    +
  • Restricted Hartree-Fock, unrestricted Hartree-Fock, and restricted open-shell +Hartree-Fock references, +
  • +
  • Restricted KS DFT and unrestricted KS DFT references, +
  • +
  • Unrestricted configuration interaction theory (CISD, CISDT, and CISDTQ), +
  • +
  • Unrestricted coupled-cluster theory (LCCD, CCD, LCCSD, CCSD, QCISD, CCSDT, CCSDTQ), +
  • +
  • Unrestricted iterative many-body perturbation theory [MBPT(2), MBPT(3), MBPT(4)] in its tensor formulation, +
  • +
+New capabilities added in the version 4.6 are: + +
    +
  • Unrestricted coupled-cluster singles and doubles with perturbative connected triples {CCSD(T), CCSD[T]}, +
  • +
  • Unrestricted equation-of-motion coupled-cluster theory (EOM-CCSD, EOM-CCSDT, EOM-CCSDTQ) for excitation energies, transition moments and oscillator strengths, and excited-state dipole moments, +
  • +
  • Unrestricted coupled-cluster theory (CCSD, CCSDT, CCSDTQ) for dipole moments. +
  • +
+Version 4.6 and onwards the distributed binary executables do not contain CCSDTQ and its +derivative methods, owing to their large volume. The source code includes them, so a user +can reinstate them by setenv CCSDTQ yes and recompile TCE module. +The following optimizations have been used in the module: + +
    +
  • Spin symmetry (spin integration is performed wherever possible within the +unrestricted framework, making the present unrestricted program +optimal for an open-shell system. The spin adaption was not performed, +although in a restricted calculation for a closed-shell system, certain spin blocks of +integrals and amplitudes are further omitted by symmetry, and +consequently, the present unrestricted CCSD requires only twice +as many operations as a spin-adapted restricted CCSD for a closed-shell system), +
  • +
  • Point-group symmetry, +
  • +
  • Index permutation symmetry, +
  • +
  • Runtime orbital range tiling for memory management, +
  • +
  • Dynamic load balancing (local index sort and matrix multiplications) parallelism, +
  • +
  • Multiple parallel I/O schemes including fully incore algorithm using Global Arrays, +
  • +
  • Frozen core and virtual approximation. +
  • +
  • DIIS extrapolation and Jacobi update of excitation amplitudes +
  • +
+ +

+This extensible module is designed such that an existing or new model of many-electron +theory can be added and further optimization can be incorporated with ease +by virtue of the TCE. +This module is still being +actively enhanced by the TCE and we hope to include more models and optimizations +in future releases! + +

+ +

+15.2 Performance of CI, MBPT, and CC methods +

+ +

+For reviews or tutorials of these highly-accurate correlation methods, the user is +referred to: + +

    +
  • A. Szabo and N. S. Ostlund, Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory, +
  • +
  • R. J. Bartlett and J. F. Stanton, Applications of Post-Hartree-Fock Methods: A Tutorial, in Reviews in Computational Chemistry, Volume V, +
  • +
  • R. J. Bartlett, Coupled-Cluster Theory: An Overview of Recent Developments, in Modern Electronic Structure Theory, Part II, +
  • +
  • B. O. Roos (editor), Lecture Notes in Quantum Chemistry I and II. +
  • +
+ +

+For algorithms and applications of TCE, see: + +

    +
  • S. Hirata, J. Phys. Chem. A 107, 9887 (2003). +
  • +
  • S. Hirata, T. Yanai, W. A. de Jong, T. Nakajima, and K. Hirao, J. Chem. Phys. 120, 3297 (2004). +
  • +
  • S. Hirata, J. Chem. Phys. (in press) (2004). +
  • +
+ +

+ +

+15.3 Algorithms of CI, MBPT, and CC methods +

+ +

+ +

+15.3.1 Spin, spatial, and index permutation symmetry +

+ +

+The TCE thoroughly analyzes the working equation of many-electron theory models and +automatically generates a program that takes full advantage of these symmetries at the same time. +To do so, the TCE first recognizes the index permutation symmetries among the working equations, +and perform strength reduction and factorization by carefully monitoring the index permutation +symmetries of intermediate tensors. Accordingly, every input and output tensor (such as +integrals, excitation amplitudes, residuals) has just two independent but strictly ordered index strings, +and each intermediate tensor has just four independent but strictly ordered index strings. +The operation cost and storage size of tensor contraction is minimized by using the index range +restriction arising from these +index permutation symmetries and also spin and spatial symmetry integration. + +

+ +

+15.3.2 Runtime orbital range tiling +

+ +

+To maintain the peak local memory usage at a manageable level, in the beginning of the calculation, +the orbitals are rearranged into tiles (blocks) that contains orbitals with the same spin and spatial +symmetries. So the tensor contractions in these methods are carried out at the tile level; the spin, +spatial, and index permutation symmetry is employed to reduce the operation and storage cost at the tile +level also. + +

+ +

+15.3.3 Dynamic load balancing parallelism +

+ +

+In a parallel execution, dynamic load balancing of tile-level local tensor index sorting and local +tensor contraction (matrix multiplication) will be invoked. + +

+ +

+15.3.4 Parallel I/O schemes +

+ +

+Each process is assigned a local tensor index sorting and tensor contraction dynamically. It must first +retrieve the tiles of input tensors, and perform these local operations, and accumulate the output +tensors to the storage. We have developed a uniform interface for these I/O operations to either +(1) a global file on a global file system, (2) a global memory on a global or distributed memory system, +and (3) semi-replicated files on a distributed file systems. Some of these operations depend on +the ParSoft library. + +

+ +

+ +
+15.4 Input syntax +

+ +

+The keyword to invoke the many-electron theories in the module is +TCE. To perform a single-point energy calculation, include +

+      TASK TCE ENERGY
+
+in the input file, which may be preceeded by the TCE input block +that details the calculations: +
+  TCE
+    [(DFT||HF||SCF) default HF=SCF]
+    [FREEZE [[core] (atomic || <integer nfzc default 0>)] \
+             [virtual <integer nfzv default 0>]]
+    [(LCCD||CCD||CCSD||LCCSD||CCSDT||CCSDTQ|| \
+      CCSD(T)||CCSD[T]||QCISD||CISD||CISDT||CISDTQ|| \
+      MBPT2||MBPT3||MBPT4||MP2||MP3||MP4) default CCSD]
+    [THRESH <double thresh default 1e-6>]
+    [MAXITER <integer maxiter default 100>]
+    [PRINT (none||low||medium||high||debug)
+      <string list_of_names ...>]
+    [IO (fortran||eaf||ga||sf||replicated||dra||ga_eaf) default ga]
+    [DIIS <integer diis default 5>]
+    [NROOTS <integer nroots default 0>]
+    [TARGET <integer target default 1>]
+    [TARGETSYM <character targetsym default 'none'>]
+    [SYMMETRY]
+    [DIPOLE]
+    [TILESIZE <no default (automatically adjusted)>]
+    [(NO)FOCK <logical recompf default .true.>]
+    [FRAGMENT <default -1 (off)>]
+  END
+
+Also supported are energy gradient calculation, geometry optimization, +and vibrational frequency (or hessian) calculation, on the basis of +numerical differentiation. To perform these calculations, use +
+      TASK TCE GRADIENT
+
+or +
+      TASK TCE OPTIMIZE
+
+or +
+      TASK TCE FREQUENCIES
+
+ +

+Alternatively, more descriptive keywords for each individual method can be used. +For instance, to perform a CCSDT energy, gradient, etc. calculation, use +

+      TASK UCCSDT ENERGY
+
+or +
+      TASK UCCSDT GRADIENT
+
+or +
+      TASK UCCSDT OPTIMIZE
+
+or +
+      TASK UCCSDT FREQUENCIES
+
+with an (optional) input block enclosed either by UCCSDT and END or +by UCC and END. The keywords for individual methods of TCE module +always start with letter U which stands for ``unrestricted'' to avoid +confusion with other related methods (such as spin-restricted CCSD and various +canonical MP2 implementation) already in place in NWChem. +
+  (UCCSDT||UCC)
+    [(DFT||HF||SCF) default HF=SCF]
+    [FREEZE [[core] (atomic || <integer nfzc default 0>)] \
+             [virtual <integer nfzv default 0>]]
+    [THRESH <double thresh default 1e-6>]
+    [MAXITER <integer maxiter default 100>]
+    [PRINT (none||low||medium||high||debug)]
+      <string list_of_names ...>]
+    [IO (fortran||eaf||ga||sf||replicated||dra||ga_eaf) default ga]
+    [DIIS <integer diis default 5>]
+    [NROOTS <integer nroots default 0>]
+    [TARGET <integer target default 1>]
+    [TARGETSYM <character targetsym default 'none'>]
+    [SYMMETRY]
+    [DIPOLE]
+    [TILESIZE <no default (automatically adjusted)>]
+    [(NO)FOCK <logical recompf default .true.>]
+    [FRAGMENT <default -1 (off)>]
+  END
+
+When a method (CCSDT in this example) is specified in the task directive, +a duplicate method specification +is not necessary (indeed not allowed) in the corresponding (UCCSDT or UCC in this case) +input block. The keywords of the other methods for task directive are: +
+      TASK (UCCD||ULCCD||UCCSD||ULCCSD||UQCISD||UCCSDT||UCCSDTQ) ENERGY
+
+or +
+      TASK (UCISD||UCISDT||UCISDTQ) ENERGY
+
+or +
+      TASK (UMP2||UMP3||UMP4||UMBPT2||UMBPT3||UMBPT4) ENERGY
+
+etc. The input block can be specified by the same name (UCISDT and END +block for TASK UCISDT ENERGY) or UCC for the CC family, UCI for +the CI family, and UMP or UMBPT for the MP family of methods. + +

+The user may also specify the parameters of reference wave function calculation +in a separate block for either HF (SCF) or DFT, depending on the first keyword +in the above syntax. + +

+Since each keyword has a default value, a minimal input file will be +

+  GEOMETRY
+  Be 0.0 0.0 0.0
+  END
+
+  BASIS
+  Be library cc-pVDZ
+  END
+
+  TASK TCE ENERGY
+
+which performs a CCSD/cc-pVDZ calculation of the Be atom in its +singlet ground state with a spin-restricted HF reference. + +

+ +

+15.5 Keywords of TCE input block +

+ +

+ +

+15.5.1 HF, SCF, or DFT -- the reference wave function +

+ +

+This keyword tells the module +which of the HF (SCF) or DFT module is going to be used for the calculation +of a reference wave function. The keyword HF and SCF are +one and the same keyword internally, and are default. When these are used, +the details of the HF (SCF) calculation can be specified in the SCF input +block, whereas if DFT is chosen, DFT input block may be provided. + +

+For instance, RHF-RCCSDT calculation (R standing for spin-restricted) +can be performed with the following input blocks: +

+  SCF
+  SINGLET
+  RHF
+  END
+
+  TCE
+  SCF
+  CCSDT
+  END
+
+  TASK TCE ENERGY
+
+or +
+  SCF
+  SINGLET
+  RHF
+  END
+
+  UCCSDT
+  SCF
+  END
+
+  TASK UCCSDT ENERGY
+
+or +
+  SCF
+  SINGLET
+  RHF
+  END
+
+  UCC
+  SCF
+  END
+
+  TASK UCCSDT ENERGY
+
+This calculation (and any correlation calculation in the TCE module using a RHF or RDFT +reference for a closed-shell system) skips the storage and computation of all $\beta$ spin +blocks of integrals and excitation amplitudes. ROHF-UCCSDT (U standing for spin-unrestricted) +for an open-shell doublet system can be requested by +
+  SCF
+  DOUBLET
+  ROHF
+  END
+
+  TCE
+  SCF
+  CCSDT
+  END
+
+  TASK TCE ENERGY
+
+and likewise, UHF-UCCSDT for an open-shell doublet system can be specified with +
+  SCF
+  DOUBLET
+  UHF
+  END
+
+  TCE
+  SCF
+  CCSDT
+  END
+
+  TASK TCE ENERGY
+
+The operation and storage costs of the last two calculations are identical. To use the +KS DFT reference wave function for a UCCSD calculation of an open-shell doublet system, +
+  DFT
+  ODFT
+  MULT 2
+  END
+
+  TCE
+  DFT
+  CCSD
+  END
+
+  TASK TCE ENERGY
+
+Note that the default model of the DFT module is LDA. + +

+ +

+15.5.2 CCSD,CCSDT,CCSDTQ,CISD,CISDT,CISDTQ, +MBPT2,MBPT3,MBPT4, etc. + -- the correlation model +

+ +

+These keywords stand for the following models: + +

    +
  • LCCD: linearized coupled-cluster doubles, +
  • +
  • CCD: coupled-cluster doubles, +
  • +
  • LCCSD: linearized coupled-cluster singles & doubles, +
  • +
  • CCSD: coupled-cluster singles & doubles (also EOM-CCSD), +
  • +
  • CCSDT: coupled-cluster singles, doubles, & triples (also EOM-CCSDT), +
  • +
  • CCSDTQ: coupled-cluster singles, doubles, triples, & quadruples (also EOM-CCSDTQ), +
  • +
  • CCSD(T): CCSD and perturbative connected triples, +
  • +
  • CCSD[T]: CCSD and perturbative connected triples, +
  • +
  • QCISD: quadratic configuration interaction singles & doubles, +
  • +
  • CISD: configuration interaction singles & doubles, +
  • +
  • CISDT: configuration interaction singles, doubles, & triples, +
  • +
  • CISDTQ: configuration interaction singles, doubles, triples, & quadruples, +
  • +
  • MBPT2=MP2: iterative tensor second-order many-body or Møller-Plesset perturbation theory, +
  • +
  • MBPT3=MP3: iterative tensor third-order many-body or Møller-Plesset perturbation theory, +
  • +
  • MBPT4=MP4: iterative tensor fourth-order many-body or Møller-Plesset perturbation theory, +
  • +
+ +

+All of these models are based on spin-orbital expressions of the amplitude and energy equations, +and designed primarily for spin-unrestricted reference wave functions. However, for a restricted +reference wave function of a closed-shell system, some further reduction of operation and storage +cost will be made. Within the unrestricted framework, all these methods take full advantage +of spin, spatial, and index permutation symmetries to save operation and storage costs at every +stage of the calculation. Consequently, these computer-generated programs will perform significantly +faster than, for instance, a hand-written spin-adapted CCSD program in NWChem, although the nominal +operation cost for a spin-adapted CCSD is just one half of that for spin-unrestricted CCSD (in spin-unrestricted +CCSD there are three independent sets of excitation amplitudes, whereas in spin-adapted CCSD there +is only one set, so the nominal operation cost for the latter is one third of that of the former. For +a restricted reference wave function of a closed-shell system, all $\beta$ spin block of the excitation +amplitudes and integrals can be trivially mapped to the all $\alpha$ spin block, reducing the ratio +to one half). + +

+While the MBPT (MP) models implemented in the TCE module give identical correlation energies as +conventional implementation for a canonical HF reference of a closed-shell system, the former are intrinsically +more general and theoretically robust for other less standard reference wave functions and open-shell systems. +This is because the zeroth order of Hamiltonian is chosen to be the full Fock operatior (not just the diagonal +part), and no further approximation was invoked. So unlike the conventional implementation where the Fock +matrix is assumed to be diagonal and a correlation energy is evaluated in a single analytical formula that involves +orbital energies (or diagonal Fock matrix elements), the present tensor MBPT requires the iterative solution +of amplitude equations and subsequent energy evaluation and is generally more expensive than the former. +For example, the operation cost of many conventional implementation of MBPT(2) scales as the fourth power +of the system size, but the cost of the present tensor MBPT(2) scales as the fifth power of the system size, +as the latter permits non-canonical HF reference and the former does not (to reinstate the non-canonical HF +reference in the former makes it also scale as the fifth power of the system size). + +

+15.5.3 THRESH -- the convergence threshold of iterative solutions of amplitude equations +

+ +

+This keyword specifies the convergence threshold of iterative solutions of amplitude equations, +and applies to all of the CI, CC, and MBPT models. +The threshold refers to the norm of residual, +namely, the deviation from the amplitude equations. +The default value is 1e-6. + +

+ +

+15.5.4 MAXITER -- the maximum number of iterations +

+ +

+It sets the maximum allowed number iterations for the iterative solutions of amplitude equations. +The default value is 100. + +

+ +

+15.5.5 IO -- parallel I/O scheme +

+ +

+There are five parallel I/O schemes implemented for all the models, which need to be +wisely chosen for a particular problem and computer architecture. + +

    +
  • fortran : Fortran77 direct access, +
  • +
  • eaf : Exclusive Access File library, +
  • +
  • ga : Fully incore, Global Array virtual file, +
  • +
  • sf : Shared File library, +
  • +
  • replicated : Semi-replicated file on distributed file system with EAF library. +
  • +
  • dra : Distributed file on distributed file system with DRA library. +
  • +
  • ga_eaf : Semi-replicated file on distributed file system with EAF library. GA is used +to speedup the file reconciliation. +
  • +
+The GA algorithm, which is default, stores all input (integrals and +excitation amplitudes), output (residuals), and intermediate tensors in the shared memory area +across all nodes by virtue of GA library. This fully incore algorithm replaces disk I/O by +inter-process communications. This is a recommended algorithm whenever feasible. Note that +the memory management through runtime orbital range tiling described above applies to local +(unshared) memory of each node, which may be separately allocated from the shared memory space +for GA. So when there is not enough shared memory space (either physically or due to software +limitations, in particular, shmmax setting), the GA algorithm can crash due to an out-of-memory error. +The replicated scheme is the currently the only disk-based algorithm for a genuinely distributed +file system. This means that each node keeps an identical copy of input tensors and +it holds non-identical overlapping segments of intermediate and output tensors in its local disk. +Whenever data coherency is required, a file reconcilation process will take place to make the intermediate +and output data identical throughout the nodes. This algorithm, while requiring redundant data space on +local disk, performs reasonably efficiently in parallel. For sequential execution, this reduces +to the EAF scheme. For a global file system, the SF scheme is recommended. This together with +the Fortran77 direct access scheme does not usually exhibit scalability unless shared files on +the global file system also share the same I/O buffer. For sequential executions, the +SF, EAF, and replicated schemes are interchangeable, while the Fortran77 scheme is appreciably +slower. + +

+Two new I/O algorithms dra and ga_eaf combines GA and DRA or EAF based replicated +algorithm. In the former, arrays that are not active (e.g., prior $T$ amplitudes used in DIIS +or EOM-CC trial vectors) in GA algorithm will be moved to DRA. In the latter, the intermediates +that are formed by tensor contractions are initially stored in GA, thereby avoiding the need to +accumulate the fragments of the intermediate scattered in EAFs in the original EAF algorithm. +Once the intermediate is formed completely, then it will be replicated as EAFs. + +

+ +

+15.5.6 DIIS -- the convergence acceleration +

+ +

+It sets the number iterations in which a DIIS extrapolation is performed to accelerate +the convergence of excitation amplitudes. The default value is 5, which means in every +five iteration, one DIIS extrapolation is performed (and in the rest of the iterations, +Jacobi rotation is used). When zero or negative value is specified, the DIIS is turned +off. It is not recommended to perform DIIS every iteration, whereas setting a large +value for this parameter necessitates a large memory (disk) space to keep the excitation +amplitudes of previous iterations. + +

+ +

+15.5.7 FREEZE -- the frozen core/virtual approximation +

+ +

+Some of the lowest-lying core orbitals and/or some of the highest-lying +virtual orbitals may be excluded in the calculations +by this keyword (this does not affect the ground state HF or DFT calculation). +No orbitals are frozen by default. To exclude the atom-like +core regions altogether, one may request +

+  FREEZE atomic
+
+To specify the number of lowest-lying occupied orbitals be excluded, one may use +
+  FREEZE 10
+
+which causes 10 lowest-lying occupied orbitals excluded. +This is equivalent to writing +
+  FREEZE core 10
+
+To freeze the highest virtual orbitals, use the virtual +keyword. For instance, to freeze the top 5 virtuals +
+  FREEZE virtual 5
+
+ +

+ +

+15.5.8 NROOTS -- the number of excited states +

+ +

+One can specify the number of excited state roots to be determined. The default +value is 1. It is advised that the users request several more roots than actually +needed, since owing to the nature of the trial vector algorithm, some low-lying +roots can be missed when they do not have sufficient overlap with the initial guess +vectors. + +

+ +

+15.5.9 TARGET and TARGETSYM -- the target root and its symmetry +

+ +

+At the moment, the first and second geometrical derivatives of excitation +energies that are needed in force, geometry, and frequency calculations are +obtained by numerical differentiation. These keywords may be used to specify +which excited state root is being used for the geometrical derivative calculation. +For instance, when TARGET 3 and TARGETSYM a1g are included in the +input block, the total energy (ground state energy plus excitation energy) +of the third lowest excited state root (excluding the ground state) transforming as +the irreducible representation a1g will be passed to the module which performs +the derivative calculations. The default values of these keywords are 1 and none, +respectively. + +

+The keyword TARGETSYM is essential in excited state geometry +optimization, since it is very common that the order of excited states changes due to +the geometry changes in the course of optimization. Without specifying the TARGETSYM, +the optimizer could (and would likely) be optimizing the geometry of an excited state that +is different from the one the user had intended to optimize at the starting geometry. +On the other hand, in the frequency calculations, TARGETSYM must be none, +since the finite displacements given in the course of frequency calculations will lift +the spatial symmetry of the equilibrium geometry. When these finite displacements can +alter the order of excited states including the target state, the frequency calculation +is not be feasible. + +

+ +

+15.5.10 SYMMETRY -- restricting the excited state symmetry +

+ +

+By adding this keyword to the input block, the user can request the module to +seek just the roots of the specified irreducible representation as +TARGETSYM. By default, this option is not set. +TARGETSYM must be specified when SYMMETRY is invoked. + +

+ +

+15.5.11 DIPOLE -- the ground- and excited-state dipole moments +

+ +

+When this is set, the ground-state CC calculation will enter another round +of iterative step for the so-called $\Lambda$ equation to obtain the one-particle +density matrix and dipole moments. Likewise, for excited-states (EOM-CC), the +transition moments and dipole moments will be computed when (and only when) this +option is set. In the latter case, EOM-CC left hand side solutions will be sought +incurring approximately three times the computational cost of excitation energies +alone (note that the EOM-CC effective Hamiltonian is not Hermitian and has distinct +left and right eigenvectors). + +

+ +

+15.5.12 (NO)FOCK -- (not) recompute Fock matrix +

+ +

+The default is FOCK meaning that the Fock matrix will +be reconstructed (as opposed to using the orbital energies as the diagonal part of +Fock). This is essential in getting correct correlation energies with ROHF or DFT +reference wave functions. However, currently, this module cannot reconstruct the +Fock matrix when one-component relativistic effects are operative. So when a user +wishes to run TCE's correlation methods with DK or other relativistic reference, +NOFOCK must be set and orbital energies must be used for the Fock matrix. + +

+ +

+15.5.13 PRINT -- the verbosity +

+ +

+This keyword changes the level of output verbosity. One may also +request some particular items in Table 15.1 printed. + +

+
+

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 15.1: +Printable items in the TCE modules and their default print levels.
ItemPrint LevelDescription
``time''varyCPU and wall times
``tile''varyOrbital range tiling information
``t1''debug$T_1$ excitation amplitude dumping
``t2''debug$T_2$ excitation amplitude dumping
``t3''debug$T_3$ excitation amplitude dumping
``t4''debug$T_4$ excitation amplitude dumping
``general information''defaultGeneral information
``correlation information''defaultTCE information
``mbpt2''debugCaonical HF MBPT2 test
``get_block''debugI/O information
``put_block''debugI/O information
``add_block''debugI/O information
``files''debugFile information
``offset''debugFile offset information
``ao1e''debugAO one-electron integral evaluation
``ao2e''debugAO two-electron integral evaluation
``mo1e''debugOne-electron integral transformation
``mo2e''debugTwo-electron integral transformation
+
+
+ +

+ +

+15.6 Sample input +

+ +

+The following is a sample input for a ROHF-UCCSD energy calculation of a water radical cation. +

+START h2o
+
+TITLE "ROHF-UCCSD/cc-pVTZ H2O"
+
+CHARGE 1
+
+GEOMETRY
+O     0.00000000     0.00000000     0.12982363
+H     0.75933475     0.00000000    -0.46621158
+H    -0.75933475     0.00000000    -0.46621158
+END
+
+BASIS
+* library cc-pVTZ
+END
+
+SCF
+ROHF
+DOUBLET
+THRESH 1.0e-10
+TOL2E  1.0e-10
+END
+
+TCE
+CCSD
+END
+
+TASK TCE ENERGY
+
+The same result can be obtained by the following input: +
+START h2o
+
+TITLE "ROHF-UCCSD/cc-pVTZ H2O"
+
+CHARGE 1
+
+GEOMETRY
+O     0.00000000     0.00000000     0.12982363
+H     0.75933475     0.00000000    -0.46621158
+H    -0.75933475     0.00000000    -0.46621158
+END
+
+BASIS
+* library cc-pVTZ
+END
+
+SCF
+ROHF
+DOUBLET
+THRESH 1.0e-10
+TOL2E  1.0e-10
+END
+
+TASK UCCSD ENERGY
+
+ +

+EOM-CCSDT calculation for excitation energies, excited-state +dipole, and transition moments. +

+START tce_h2o_eomcc
+ 
+GEOMETRY UNITS BOHR
+H    1.474611052297904   0.000000000000000   0.863401706825835
+O    0.000000000000000   0.000000000000000  -0.215850436155089
+H   -1.474611052297904   0.000000000000000   0.863401706825835
+END
+ 
+BASIS
+* library sto-3g
+END
+ 
+SCF
+SINGLET
+RHF
+END
+ 
+TCE
+CCSDT
+DIPOLE
+FREEZE CORE ATOMIC
+NROOTS 1
+END
+ 
+TASK TCE ENERGY
+
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 16. MP2 + Up: user + Previous: 14. CIS, TDHF, and +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node18.html b/web/doc/user.4.6/node18.html new file mode 100644 index 0000000000..3b33c9523d --- /dev/null +++ b/web/doc/user.4.6/node18.html @@ -0,0 +1,1019 @@ + + + + + +16. MP2 + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 17. Multiconfiguration SCF + Up: user + Previous: 15. Tensor Contraction Engine +   Contents +
+
+ + +Subsections + + + +
+ +

+16. MP2 +

+ +

+There are (at least) three algorithms within NWChem that compute the +Møller-Plesset (or many-body) perturbation theory second-order +correction to the Hartree-Fock energy (MP2). They vary in capability, +the size of system that can be treated and use of other approximations + +

    +
  • Semi-direct -- this is recommended for most large applications + (up to about 2800 basis functions), especially on the IBM SP and + other machines with significant disk I/O capability. Partially + transformed integrals are stored on disk, multi-passing as necessary. + RHF and UHF references may be treated including computation of + analytic derivatives. This is selected by specifying mp2 on + the task directive, e.g. +
    +      TASK MP2
    +
    +
  • +
  • Fully-direct -- this is of utility if only limited I/O + resources are available (up to about 2800 functions). Only RHF + references and energies are available. This is selected by + specifying direct_mp2 on the task directive, e.g. +
    +      TASK DIRECT_MP2
    +
    +
  • +
  • Resolution of the identity (RI) approximation MP2 (RI-MP2) -- + this uses the RI approximation and is therefore only exact in the + limit of a complete fitting basis. However, with some care, high + accuracy may be obtained with relatively modest fitting basis sets. + An RI-MP2 calculation can cost over 40 times less than the + corresponding exact MP2 calculation. RHF and UHF references with + only energies are available. This is selected by specifying + rimp2 on the task directive, e.g., +
    +      TASK RIMP2
    +
    +
  • +
+ +

+All three MP2 tasks share the same input block. + +

+

+  MP2
+    [FREEZE [[core] (atomic || <integer nfzc default 0>)] \
+            [virtual <integer nfzv default 0>]]
+    [TIGHT]
+    [PRINT]
+    [NOPRINT]
+    [VECTORS <string filename default scf-output-vectors> \
+      [swap [(alpha||beta)] <integer pair-list>] ]
+    [RIAPPROX <string riapprox default V>]
+    [FILE3C <string filename default $file_prefix$.mo3cint">]
+    [SCRATCHDISK <integer>]
+  END
+
+ +

+ +

+ +
+16.1 FREEZE -- Freezing orbitals +

+ +

+All MP2 modules support frozen core orbitals, however, only the direct +MP2 and RI-MP2 modules support frozen virtual orbitals. + +

+By default, no orbitals are frozen. The atomic keyword causes +orbitals to be frozen according to the rules in Table +16.1. Note that no orbitals are frozen on +atoms on which the nuclear charge has been modified either by the user +or due to the presence of an ECP. The actual input would be +

+  freeze atomic
+
+For example, in a calculation on $Si(OH)_2$, by default the lowest +seven orbitals would be frozen (the oxygen 1$s$, and the silicon 1$s$, +2$s$ and 2$p$). + +

+

+
+ + + +
Table 16.1: +Number of orbitals considered ``core'' in the ``freeze by +atoms'' algorithm.
+

+ +

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
PeriodElementsCore OrbitalsNumber of Core
0H - He--0
1Li - Ne1$s$1
2Na - Ar1$s$2$s$2$p$5
3K - Kr1$s$2$s$2$p$3$s$3$p$9
4Rb - Xe1$s$2$s$2$p$3$s$3$p$4$s$3$d$4$p$18
5Cs - Rn1$s$2$s$2$p$3$s$3$p$4$s$3$d$4$p$5$s$4$d$5$p$27
6Fr - Lr1$s$2$s$2$p$3$s$3$p$4$s$3$d$4$p$5$s$4$d$5$p$6$s$4$f$5$d$6$p$43
+ +

+ +

+

+

+
+ +

+Caution: The rule for freezing orbitals ``by atoms'' are +rather unsophisticated: the number of orbitals to be frozen is +computed from the Table 16.1 by summing the number +of core orbitals in each atom present. The corresponding number of +lowest-energy orbitals are frozen -- if for some reason the actual +core orbitals are not the lowest lying, then correct results will not +be obtained. From limited experience, it seems that special attention +should be paid to systems including third- and higher- period atoms. + +

+The user may also specify the number of orbitals to be frozen by atom. +Following the $Si(OH)_2$ example, the user could specify +

+freeze atomic O 1 Si 3
+
+In this case only the lowest four orbitals would be frozen. If the user does +not specify the orbitals by atom, the rules default to Table 16.1. + +

+Caution: The system does not check for a valid number of orbitals per +atom. If the user specifies to freeze more orbitals then are available for +the atom, the system will not catch the error. The user must specify a logical +number of orbitals to be frozen for the atom. + +

+The FREEZE directive may also be used to specify the number of +core orbitals to freeze. For instance, to freeze the first 10 orbitals +

+  freeze 10
+
+or equivalently, using the optional keyword core +
+  freeze core 10
+
+Again, note that if the 10 orbitals to be frozen do not correspond to +the first 10 orbitals, then the swap keyword of the +VECTORS directive must be used to order the input orbitals +correctly (Section 16.5). + +

+To freeze the highest virtual orbitals, use the virtual +keyword. For instance, to freeze the top 5 virtuals +

+  freeze virtual 5
+
+Again, note that this only works for the direct-MP2 and RI-MP2 energy +codes. + +

+ +

+16.2 TIGHT -- Increased precision +

+ +

+The TIGHT directive can be used to increase the precision +in the MP2 energy and gradients. + +

+By default the MP2 gradient package should compute energies accurate +to better than a micro-Hartree, and gradients accurate to about five +decimal places (atomic units). However, if there is significant +linear dependence in the basis set the precision might not be this +good. Also, for computing very accurate geometries or numerical +frequencies, greater precision may be desirable. + +

+This option increases the precision to which both the SCF (from +$10^{-6}$ to $10^{-8}$) and CPHF (from $10^{-4}$ to $10^{-6}$) are +solved, and also tightens thresholds for computation of the AO and MO +integrals (from $10^{-9}$ to $10^{-11}$) within the MP2 code. + +

+ +

+16.3 SCRATCHDISK -- Limiting I/O usage +

+ +

+This directive - used only in the semi-direct algorithm - allows to +limit the per process disk usage. Mandatory argument for this keyword +is the maximum number of MBytes. +For example, the following input line +

+  scratchdisk 512
+
+puts an upper limit of 512 MBytes to the semi-direct MP2 usage of disk +(again, on a per process base). + +

+ +

+16.4 PRINT and NOPRINT +

+ +

+The standard print control options are recognized. The list of +recognized names are given in Table 16.2. + +

+

+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 16.2: +Printable items in the MP2 modules and their default print levels.
ItemPrint LevelDescription
   
RI-MP2  
   
``2/3 ints''debugPartial 3-center integrals
``3c ints''debugMO 3-center integrals
``4c ints b''debug``B'' matrix with approx. 4c integrals
``4c ints''debugApproximate 4-center integrals
``amplitudes''debug``B'' matrix with denominators
``basis''high 
``fit xf''debugTransformation for fitting basis
``geombas''debugDetailed basis map info
``geometry''high 
``information''lowGeneral information about calc.
``integral i/o''highFile size information
``mo ints''debug 
``pair energies''debug(working only in direct_mp2)
``partial pair energies''debugPair energy matrix each time it is updated
``progress reports''defaultReport completion of time-consuming steps
``reference''highDetails about reference wavefunction
``warnings''lowNon-fatal warnings
+
+
+ +

+ +

+ +
+16.5 VECTORS -- MO vectors +

+ +

+All of the (supported) MP2 modules require use of converged canonical +SCF (RHF or UHF) orbitals for correct results. The vectors are by +default obtained from the preceding SCF calculation, but it is +possible to specify a different source using the VECTORS +directive. For instance, to obtain vectors from the file +/tmp/h2o.movecs, use the directive +

+  vectors /tmp/h2o.movecs
+
+ +

+As noted above (Section 16.1) if the SCF orbitals are not in +the correct order, it is necessary to permute the input orbitals using +the swap keyword of the VECTORS directive. For +instance, if it is desired to freeze a total six orbitals +corresponding to the SCF orbitals 1-5, and 7, it is necessary to swap +orbital 7 into the 6th position. This is accomplished by +

+  vectors swap 6 7
+
+The swap capability is examined in more detail in Section +10.5. + +

+ +

+16.6 RI-MP2 fitting basis +

+ +

+ +

+The RI-MP2 method requires a fitting basis, which must be specified +with the name "ri-mp2 basis" (see Section 7). +For instance, +

+  basis "ri-mp2 basis"
+    O s; 10000.0 1
+    O s;  1000.0 1
+    O s;   100.0 1
+    ...
+  end
+
+ +

+Alternatively, using a standard capability of basis sets (Section +7) another named basis may be associated with the +fitting basis. For instance, the following input specifies a basis +with the name "small fitting basis" and then defines this to be +the "ri-mp2 basis". +

+  basis "small fitting basis"
+    H s; 10    1
+    H s;  3    1
+    H s;  1    1
+    H s;  0.1  1
+    H s;  0.01 1
+  end
+
+  set "ri-mp2 basis" "small fitting basis"
+
+ +

+ +

+ +

+16.7 FILE3C -- RI-MP2 3-center integral filename +

+ +

+ +

+The default name for the file used to store the transformed 3-center +integrals is "$file_prefix$.mo3cint" in the scratch directory. +This may be overridden using the FILE3C directive. For instance, to +specify the file /scratch/h2o.3c, use this directive +

+  file3c /scratch/h2o.3c
+
+ +

+ +

+ +

+16.8 RIAPPROX -- RI-MP2 Approximation +

+ +

+The type of RI approximation used in the RI-MP2 calculation is controlled +by means of the RIAPPROX directive. The two possible values are +V and SVS (case sensitive), which correspond to the +approximations with the same names described in O. Vahtras, J Almlöf, +and M. W. Feyereisen, Chem. Phys. Lett. 213, 514-518 +(1993). The default is V. + +

+ +

+16.9 Advanced options for RI-MP2 +

+ +

+These options, which functioned at the time of writing, are not +currently supported. + +

+ +

+16.9.1 Control of linear dependence +

+ +

+Construction of the RI fit requires the inversion of a matrix of +fitting basis integrals which is carried out via diagonalization. If +the fitting basis includes near linear dependencies, there will be +small eigenvalues which can ultimately lead to non-physical RI-MP2 +correlation energies. Eigenvectors of the fitting matrix +are discarded if the corresponding eigenvalue is less than +$mineval$ which defaults to $10^{-8}$. This +parameter may be changed by setting the a parameter in the database. +For instance, to set it to $10^{-10}$ + +

+

+  set "mp2:fit min eval" 1e-10
+
+ +

+ +

+16.9.2 Reference Spin Mapping for RI-MP2 Calculations +

+ +

+The user has the option of specifying that the RI-MP2 calculations are +to be done with variations of the SCF reference wavefunction. This is +accomplished with a SET directive of the form, + +

+

+  set "mp2:reference spin mapping" <integer array default 0>
+
+ +

+Each element specified for array is the SCF spin case to be +used for the corresponding spin case of the correlated calculation. +The number of elements set determines the overall type of correlated +calculation to be performed. The default is to use the unadulterated +SCF reference wavefunction. + +

+For example, to perform a spin-unrestricted calculation (two elements) +using the alpha spin orbitals (spin case 1) from the reference for +both of the correlated reference spin cases, the SET directive +would be as follows, +

+  set "mp2:reference spin mapping" 1 1
+
+The SCF calculation to produce the reference wavefunction could be either +RHF or UHF in this case. + +

+The SET directive for a similar case, but this time using the +beta-spin SCF orbitals for both correlated spin cases, is as follows, +

+  set "mp2:reference spin mapping" 2 2
+
+The SCF reference calculation must be UHF in this case. + +

+The SET directive for a spin-restricted calculation (one +element) from the beta-spin SCF orbitals using this option is as +follows, +

+  set "mp2:reference spin mapping" 2
+
+ +

+The SET directive for a spin-unrestricted calculation with the +spins flipped from the original SCF reference wavefunction is as +follows, +

+  set "mp2:reference spin mapping" 2 1
+
+ +

+ +

+16.9.3 Batch Sizes for the RI-MP2 Calculation +

+ +

+The user can control the size of each batch in the transformation and +energy evaluation in the MP2 calculation, and consequently the memory +requirements and number of passes required. This is done using two +SET directives of the following form, + +

+

+  set "mp2:transformation batch size" <integer size default -1>
+  set "mp2:energy batch size" <integer isize jsize default -1 -1>
+
+ +

+The default is for the code to determine the batch size based on the +available memory. Should there be problems with the +program-determined batch sizes, these variables allow the user to +override them. The program will always use the smaller of the user's +value of these entries and the internally computed batch size. + +

+The transformation batch size computed in the code is the number of +occupied orbitals in the +$({occ}\ {vir} \vert {fit})$ three-center +integrals to be produced at a time. If this entry is less than the +number of occupied orbitals in the system, the transformation will +require multiple passes through the two-electron integrals. The +memory requirements of this stage are two global arrays of +dimension +${<batch size>}\times {vir} \times {fit}$ with the ``fit'' +dimension distributed across all processors (on shell-block +boundaries). The compromise here is memory space versus multiple +integral evaluations. + +

+The energy evaluation batch sizes are computed in the code from the +number of occupied orbitals in the two sets of three-center +integrals to be multiplied together to produce a matrix of approximate +four-center integrals. Two blocks of integrals of dimension +$({<batch
+isize>}\times {vir})$ and +$({<batch jsize>}\times {vir})$ by fit are +read in from disk and multiplied together to produce +$<batch isize>
+<batch jsize> {vir}^2$ approximate integrals. The compromise here is +performance of the distributed matrix multiplication (which requires +large matrices) versus memory space. + +

+ +

+16.9.4 Energy Memory Allocation Mode: RI-MP2 Calculation +

+ +

+The user must choose a strategy for the memory allocation in the energy +evaluation phase of the RI-MP2 calculation, either by minimizing the amount +of I/O, or minimizing the amount of computation. This can be accomplished +using a SET directive of the form, + +

+

+  set "mp2:energy mem minimize" <string mem_opt default I>
+
+ +

+A value of I entered for the string mem_opt means that a +strategy to minimize I/O will be employed. A value of C tells +the code to use a strategy that minimizes computation. + +

+When the option to minimize I/O is selected, the block sizes are made +as large as possible so that the total number of passes through the +integral files is as small as possible. When the option to minimize +computation is selected, the blocks are chosen as close to square as +possible so that permutational symmetry in the energy evaluation can +be used most effectively. + +

+ +

+16.9.5 Local Memory Usage in Three-Center Transformation +

+ +

+For most applications, the code will be able to size the blocks +without help from the user. Therefore, it is unlikely that users will +have any reason to specify values for these entries except when doing +very particular performance measurements. + +

+The size of xf3ci:AO 1 batch size is the most important of the +three, in terms of the effect on performance. + +

+Local memory usage in the first two steps of the transformation is +controlled in the RI-MP2 calculation using the following SET +directives, + +

+

+  set "xf3ci:AO 1 batch size" <integer max>
+  set "xf3ci:AO 2 batch size" <integer max>
+  set "xf3ci:fit batch size" <integer max>
+
+ +

+The size of the local arrays determines the sizes of the two matrix +multiplications. These entries set limits on the size of blocks to be +used in each index. The listing above is in order of importance of +the parameters to performance, with xf3ci:AO 1 batch size being +most important. + +

+Note that these entries are only upper bounds and that the program +will size the blocks according to what it determines as the best usage of +the available local memory. The absolute maximum for a block size is +the number of functions in the AO basis, or the number of fitting basis +functions on a node. The absolute minimum value for block size is the +size of the largest shell in the appropriate basis. Batch size entries +specified for max that are larger than these limits are +automatically reset to an appropriate value. + +

+ +

+16.10 One-electron properties and natural orbitals +

+ +

+If an MP2 energy gradient is computed, all contributions are available +to form the MP2 linear-response density. This is the density that +when contracted with any spin-free, one-electron operator yields the +associated property defined as the derivative of the energy. Thus, +the reported MP2 dipole moment is the derivative of the energy +w.r.t. an external magnetic field and is not the expectation +value of the operator over the wavefunction. Only dipole moments are +printed by the MP2 gradient code, but natural orbitals are produced +and stored in the permanent directory with a file extension of +".mp2nos". These may be fed into the property package (see +Section 28) to compute more general properties. Note +that the MP2 linear response density matrix is not necessarily +positive definite so it is not unusual to see a few small negative +natural orbital occupation numbers. + +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 17. Multiconfiguration SCF + Up: user + Previous: 15. Tensor Contraction Engine +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node19.html b/web/doc/user.4.6/node19.html new file mode 100644 index 0000000000..5cc62bb008 --- /dev/null +++ b/web/doc/user.4.6/node19.html @@ -0,0 +1,440 @@ + + + + + +17. Multiconfiguration SCF + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 18. Selected CI + Up: user + Previous: 16. MP2 +   Contents +
+
+ + +Subsections + + + +
+ +

+17. Multiconfiguration SCF +

+ +

+The NWChem multiconfiguration SCF (MCSCF) module can currently perform +complete active space SCF (CASSCF) calculations with at most 20 active +orbitals and about 500 basis functions. It is planned to extend it to +handle 1000+ basis functions. + +

+

+  MCSCF
+    STATE <string state>
+    ACTIVE <integer nactive>
+    ACTELEC <integer nactelec>
+    MULTIPLICITY <integer multiplicity>
+    [SYMMETRY <integer symmetry default 1>]
+    [VECTORS [[input] <string input_file default $file_prefix$.movecs>] 
+           [swap <integer vec1 vec2> ...] \
+           [output <string output_file default input_file>] \
+           [lock]
+    [HESSIAN (exact||onel)]
+    [MAXITER <integer maxiter default 20>]
+    [THRESH  <real thresh default 1.0e-4>]
+    [TOL2E <real tol2e default 1.0e-9>]
+    [LEVEL <real shift default 0.1d0>]
+  END
+
+Note that the ACTIVE, ACTELEC, and MULTIPLICITY +directives are required. The symmetry and multiplicity may +alternatively be entered using the STATE directive. + +

+ +

+17.1 ACTIVE -- Number of active orbitals +

+ +

+The number of orbitals in the CASSCF active space must be specified +using the ACTIVE directive. + +

+E.g., +

+  active 10
+
+ +

+The input molecular orbitals (see the vectors directive, Sections +17.6 and 10.5) must be arranged in +order + +

    +
  1. doubly occupied orbitals, +
  2. +
  3. active orbitals, and +
  4. +
  5. unoccupied orbitals. +
  6. +
+ +

+ +

+17.2 ACTELEC -- Number of active electrons +

+ +

+The number of electrons in the CASSCF active space must be specified +using the the ACTELEC directive. An error is reported if the +number of active electrons and the multiplicity are inconsistent. + +

+The number of closed shells is determined by subtracting the number +of active electrons from the total number of electrons (which in turn +is derived from the sum of the nuclear charges minus the total system +charge). + +

+ +

+17.3 MULTIPLICITY +

+ +

+The spin multiplicity must be specified and is enforced by projection +of the determinant wavefunction. + +

+E.g., to obtain a triplet state +

+  multiplicity 3
+
+ +

+ +

+17.4 SYMMETRY -- Spatial symmetry of the wavefunction +

+ +

+This species the irreducible representation of the wavefunction as an +integer in the range 1--8 using the same numbering of representations +as output by the SCF program. Note that only Abelian point groups are +supported. + +

+E.g., to specify a $B_1$ state when using the $C_{2v}$ group +

+  symmetry 3
+
+ +

+ +

+17.5 STATE -- Symmetry and multiplicity +

+ +

+The electronic state (spatial symmetry and multiplicity) may +alternatively be specified using the conventional notation for an +electronic state, such as $^3B_2$ for a triplet state of $B_2$ +symmetry. This would be accomplished with the input +

+  state 3b2
+
+which is equivalent to +
+  symmetry 4
+  multiplicity 3
+
+ +

+ +

+ +
+17.6 VECTORS -- Input/output of MO vectors +

+ +

+Calculations are best started from RHF/ROHF molecular orbitals (see +Section 10), and by default vectors are taken from the +previous MCSCF or SCF calculation. To specify another input file use +the VECTORS directive. Vectors are by default output to the +input file, and may be redirected using the output keyword. +The swap keyword of the VECTORS directive may be +used to reorder orbitals to obtain the correct active space. +See Section 10.5 for an example. + +

+The LOCK keyword allows the user to specify that the ordering +of orbitals will be locked to that of the initial vectors, insofar as +possible. The default is to order by ascending orbital energies within +each orbital space. One application where locking might be desirable +is a calculation where it is necessary to preserve the ordering of a +previous geometry, despite flipping of the orbital energies. For such +a case, the LOCK directive can be used to prevent the SCF +calculation from changing the ordering, even if the orbital energies +change. + +

+Output orbitals of a converged MCSCF calculation are canonicalized as +follows: + +

    +
  • Doubly occupied and unoccupied orbitals diagonalize the + corresponding blocks of an effective Fock operator. Note that in + the case of degenerate orbital energies this does not fully + determine the orbtials. +
  • +
  • Active-space orbitals are chosen as natural orbitals by + diagonalization of the active space 1-particle density matrix. + Note that in the case of degenerate occupations that this + does not fully determine the orbitals. +
  • +
+ +

+ +

+ +
+17.7 HESSIAN -- Select preconditioner +

+ +

+The MCSCF will use a one-electron approximation to the orbital-orbital +Hessian until some degree of convergence is obtained, whereupon it +will attempt to use the exact orbital-orbital Hessian which makes the +micro iterations more expensive but potentially reduces the total +number of macro iterations. Either choice may be forced throughout +the calculation by specifying the appropriate keyword on the +HESSIAN directive. + +

+E.g., to specify the one-electron approximation throughout +

+  hessian onel
+
+ +

+ +

+17.8 LEVEL -- Level shift for convergence +

+ +

+The Hessian (Section 17.7) used in the MCSCF +optimization is by default level shifted by 0.1 until the orbital +gradient norm falls below 0.01, at which point the level shift is +reduced to zero. The initial value of $0.1$ may be changed using +the LEVEL directive. Increasing the level shift may make +convergence more stable in some instances. + +

+E.g., to set the initial level shift to 0.5 +

+  level 0.5
+
+ +

+ +

+17.9 PRINT and NOPRINT +

+ +

+Specific output items can be selectively enabled or disabled using the +print control mechanism (5.6) with the +available print options listed in table(17.9). + +

+

+
+ + + +
Table 17.1: +MCSCF Print Options
+

+ +

+ +

+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
OptionClassSynopsis
ci energydefaultCI energy eigenvalue
fock energydefaultEnergy derived from Fock matrices
gradient normdefaultGradient norm
movecsdefaultConverged occupied MO vectors
trace energyhighTrace Energy
converge infohighConvergence data and monitoring
preconditionhighOrbital preconditioner iterations
microcihighCI iterations in line search
canonicalhighCanonicalization information
new movecsdebugMO vectors at each macro-iteration
ci guessdebugInitial guess CI vector
density matrixdebugOne- and Two-particle density matrices
+ +

+ +

+

+

+
+ +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 18. Selected CI + Up: user + Previous: 16. MP2 +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node2.html b/web/doc/user.4.6/node2.html new file mode 100644 index 0000000000..a795eea7bf --- /dev/null +++ b/web/doc/user.4.6/node2.html @@ -0,0 +1,1090 @@ + + + + + +Contents + + + + + + + + + + + + + + + + + + + + +next + +up + +previous +
+ Next: 1. Introduction + Up: user + Previous: DISCLAIMER +
+
+ +
+ +

+Contents +

+ + + + +

+ +

+


+ + +next + +up + +previous +
+ Next: 1. Introduction + Up: user + Previous: DISCLAIMER + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node20.html b/web/doc/user.4.6/node20.html new file mode 100644 index 0000000000..d35546b2f3 --- /dev/null +++ b/web/doc/user.4.6/node20.html @@ -0,0 +1,769 @@ + + + + + +18. Selected CI + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 19. Coupled Cluster Calculations + Up: user + Previous: 17. Multiconfiguration SCF +   Contents +
+
+ + +Subsections + + + +
+ +

+18. Selected CI +

+ +

+The selected CI module is integrated into NWChem but as yet no +input module has been written. The input thus consists of setting the +appropriate variables in the database. + +

+It is assumed that an initial SCF/MCSCF calculation has completed, and +that MO vectors are available. These will be used to perform a +four-index transformation, if this has not already been performed. + +

+ +

+18.1 Background +

+ +

+This is a general spin-adapted, configuration-driven CI program +which can perform arbitrary CI calculations, the only restriction +being that all spin functions are present for each orbital occupation. +CI wavefunctions may be specified using a simple configuration +generation program, but the prime usage is intended to be in +combination with perturbation correction and selection of new +configurations. The second-order correction (Epstein-Nesbet) to the +CI energy may be computed, and at the same time configurations that +interact greater than a certain threshold with the current CI +wavefunction may be chosen for inclusion in subsequent calculations. +By repeating this process (typically twice is adequate) with the same +threshold until no new configurations are added, the CI expansion may +be made consistent with the selection threshold, enabling tentative +extrapolation to the full-CI limit. + +

+A typical sequence of calculations is as follows: + +

    +
  1. Pick as an initial CI reference the previously executed + SCF/MCSCF. +
  2. +
  3. Define an initial selection threshold. +
  4. +
  5. Determine the roots of interest in the current reference space. +
  6. +
  7. Compute the perturbation correction and select additional + configurations that interact greater than the current threshold. +
  8. +
  9. Repeat steps 3 and 4. +
  10. +
  11. Lower the threshold (a factor of 10 is common) and repeat steps + 3, 4, and 5. The first pass through step 4 will yield the + approximately self-consistent CI and CI+PT energies from the previous selection threshold. +
  12. +
+ +

+To illustrate this, below is some abbreviated output from a +calculation on water in an augmented cc-PVDZ basis set with one frozen +core orbital. The SCF was converged to high precision in $C_{2v}$ +symmetry with the following input +

+  start h2o
+  geometry; symmetry c2v
+    O 0 0 0; H 0 1.43042809 -1.10715266
+  end
+  basis
+    H library aug-cc-pvdz; O library aug-cc-pvdz
+  end
+  task scf
+  scf; thresh 1d-8; end
+
+ +

+The following input restarts from the SCF to perform a sequence of +selected CI calculations with the specified tolerances, starting with +the SCF reference. +

+  restart h2o
+  set fourindex:occ_frozen 1
+  set selci:mode select
+  set "selci:selection thresholds" \
+      0.001 0.001 0.0001 0.0001 0.00001 0.00001 0.000001
+  task selci
+
+Table 18.1 summarizes the output from each of the major +computational steps that were performed. +

+
+ + + +
Table 18.1: + Summary of steps performed in a selected CI + calculation on water.
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
  CI 
StepDescriptiondimensionEnergy
    
1Four-index, one frozen-core  
2Config. generator, SCF default1 
3+4CI diagonalization1 +$E_{CI} = -76.041983$
5PT selection T=0.0011 +$E_{CI+PT} = -76.304797$
6+7CI diagonalization75 +$E_{CI} = -76.110894$
8PT selection T=0.00175 +$E_{CI+PT} = -76.277912$
9+10CI diagonalization75 +$E_{CI}(T=0.001) = -76.110894$
11PT selection T=0.000175 +$E_{CI+PT}(T=0.001) = -76.277912$
12+13CI diagonalization823 +$E_{CI} = -76.228419$
14PT selection T=0.0001823 +$E_{CI+PT} = -76.273751$
15+16CI diagonalization841 +$E_{CI}(T=0.0001) = -76.2300544$
17PT selection T=0.00001841 +$E_{CI+PT}(T=0.0001) = -76.274073$
18+19CI diagonalization2180 +$E_{CI} = -76.259285$
20PT selection T=0.000012180 +$E_{CI+PT} = -76.276418$
21+22CI diagonalization2235 +$E_{CI}(T=0.00001) = -76.259818$
23PT selection T=0.0000012235 +$E_{CI+PT}(T=0.00001) = -76.276478$
24CI diagonalization11489 
+
+

+
+ +

+ +

+18.2 Files +

+ +

+Currently, no direct control is provided over filenames. All files +are prefixed with the standard file-prefix, and any files generated by +all nodes are also postfixed with the processor number. Thus, for +example the molecular integrals file, used only by process zero, might +be called h2o.moints whereas the off-diagonal Hamiltonian matrix +element file used by process number eight would be called h2o.hamil.8. + +

+ +

+

+
+
ciconf -- the CI configuration file, which holds + information about the current CI expansion, indexing vectors, etc. + This is the most important file and is required for all restarts. + Note that the CI configuration generator is only run if this file + does not exist. Referenced only by process zero. +
+
+
moints -- the molecular integrals, generated by the four-index + transformation. As noted above these must currently be manually + deleted, or the database entry selci:moints:force set, to + force regeneration. Referenced only by process zero. +
+
+
civecs -- the CI vectors. Referenced only by process zero. +
+
+
wmatrx -- temporary file used to hold coupling coefficients. + Deleted at calculation end. Referenced only by process zero. +
+
+
rtname, roname -- restart information for the PT + selection. Should be automatically deleted if no restart is + necessary. Referenced only by process zero. +
+
+
hamdg -- diagonal elements of the Hamiltonian. + Deleted at calculation end. Referenced only by process zero. +
+
+
hamil -- off-diagonal Hamiltonian matrix elements. All + processes generate a file containing a subset of these elements. + These files can become very large. Deleted at calculation end. +
+
+ +

+ +

+ +

+18.3 Configuration Generation +

+ +

+If no configuration is explicitly specified then the previous +SCF/MCSCF wavefunction is used, adjusting for any orbitals frozen in +the four-index transformation. The four-index transformation must +have completed successfully before this can execute. Orbital +configurations for use as reference functions may also be explicitly +specified. + +

+Once the default/user-input reference configurations have been +determined additional reference functions may be generated by applying +multiple sets of creation-annihilation operators, permitting for +instance, the ready specification of complete or restricted active +spaces. + +

+Finally, a uniform level of excitation from the current set of +configurations into all orbitals may be applied, enabling, for +instance, the simple creation of single or single+double excitation +spaces from an MCSCF reference. + +

+ +

+18.3.1 Specifying the reference occupation +

+ +

+A single orbital configuration or occupation is specified by +

+  ns  (socc(i),i=1,ns)  (docc(i),i=1,nd)
+
+where ns specifies the number of singly occupied orbitals, +socc() is the list of singly occupied orbitals, and +docc() is the list of doubly occupied orbitals (the +number of doubly occupied orbitals, nd, is inferred from +ns and the total number of electrons). All occupations may be +strung together and inserted into the database as a single integer +array with name "selci:conf". For example, the input +
+  set "selci:conf" \
+    0                1  2  3  4 \
+    0                1  2  3 27 \
+    0                1  3  4 19 \
+    2   11 19        1  3  4 \
+    2    8 27        1  2  3 \
+    0                1  2  4 25 \
+    4   3  4 25 27   1  2 \
+    4   2  3 19 20   1 4 \
+    4   2  4 20 23   1 3
+
+specifies the following nine orbital configurations +
+   1(2)  2(2)  3(2)  4(2)
+   1(2)  2(2)  3(2) 27(2)
+   1(2)  3(2)  4(2) 19(2)
+   1(2)  3(2)  4(2) 11(1) 19(1)
+   1(2)  2(2)  3(2)  8(1) 27(1)
+   1(2)  2(2)  4(2) 25(2)
+   1(2)  2(2)  3(1)  4(1) 25(1) 27(1)
+   1(2)  2(1)  3(1)  4(2) 19(1) 20(1)
+   1(2)  2(1)  3(2)  4(1) 20(1) 23(1)
+
+The optional formatting of the input is just to make this arcane +notation easier to read. Relatively few configurations can be +currently specified in this fashion because of the input line limit of +1024 characters. + +

+ +

+18.3.2 Applying creation-annihilation operators +

+ +

+Up to 10 sets of creation-annihilation operator pairs may be +specified, each set containing up to 255 pairs. This suffices to +specify complete active spaces with up to ten electrons. + +

+The number of sets is specified as follows, +

+  set selci:ngen 4
+
+which indicates that there will be four sets. Each set is then +specified as a separate integer array +
+  set "selci:refgen  1" 5 4    6 4   5 3   6 3  
+  set "selci:refgen  2" 5 4    6 4   5 3   6 3  
+  set "selci:refgen  3" 5 4    6 4   5 3   6 3  
+  set "selci:refgen  4" 5 4    6 4   5 3   6 3
+
+In the absence of friendly, input note that the names +"selci:refgen n" must be formatted with n in I2 +format. Each set specifies a list of creation-annihilation operator +pairs (in that order). So for instance, in the above example each set +is the same and causes the excitations +
+  4->5   4->6   3->5   3->6
+
+If orbitals 3 and 4 were initially doubly occupied, and orbitals 5 and +6 initially unoccupied, then the application of this set of operators +four times in succession is sufficient to generate the four electron +in four orbital complete active space. + +

+The precise sequence in which operators are applied is + +

    +
  1. loop through sets of operators +
  2. +
  3. loop through reference configurations +
  4. +
  5. loop through operators in the set +
  6. +
  7. apply the operator to the configuration, if the result is new add it + to the new list +
  8. +
  9. end the loop over operators +
  10. +
  11. end the loop over reference configurations +
  12. +
  13. augment the configuration list with the new list +
  14. +
  15. end the loop over sets of operators +
  16. +
+ +

+ +

+18.3.3 Uniform excitation level +

+ +

+By default no excitation is applied to the reference configurations. +If, for instance, you wanted to generate a single excitation CI space +from the current configuration list, specify +

+set selci:exci 1
+
+Any excitation level may be applied, but since the list of +configurations is explicitly generated, as is the CI Hamiltonian +matrix, you will run out of disk space if you attempt to use more than +a few tens of thousands of configurations. + +

+ +

+18.4 Number of roots +

+ +

+By default, only one root is generated in the CI diagonalization or +perturbation selection. The following requests that 2 roots be +generated +

+  set selci:nroot 2
+
+There is no imposed upper limit. If many roots are required, then, to +minimize root skipping problems, it helps to perform an initial +approximate diagonalization with several more roots than required, and +then resetting this parameter once satisfied that the desired +states are obtained. + +

+ +

+18.5 Accuracy of diagonalization +

+ +

+By default, the CI wavefunctions are converged to a residual norm of +$10^{-6}$ which provides similar accuracy in the perturbation +corrections to the energy, and much higher accuracy in the CI +eigenvalues. This may be adjusted with +

+ set "selci:diag tol" 1d-3
+
+the example setting much lower precision, appropriate for the +approximate diagonalization discussed in the preceding section. + +

+ +

+18.6 Selection thresholds +

+ +

+When running in the selected-CI mode the program will loop +through a list of selection thresholds ($T$), performing the CI +diagonalization, computing the perturbation correction, and augmenting +the CI expansion with configurations that make an energy lowering to +any root greater than $T$. The list of selection thresholds is +specified as follows +

+  set "selci:selection thresholds" \
+      0.001 0.001 0.0001 0.0001 0.00001 0.00001 0.000001
+
+ +

+There is no default for this parameter. + +

+ +

+18.7 Mode +

+ +

+By default the program runs in "ci+davids" mode and just +determines the CI eigenvectors/values in the current configuration +space. To perform a selected-CI with perturbation correction use the +following +

+  set selci:mode select
+
+and remember to define the selection thresholds. + +

+ +

+18.8 Memory requirements +

+ +

+No global arrays are used inside the selected-CI, though the +four-index transformation can be automatically invoked and it does use +GAs. The selected CI replicates inside each process + +

    +
  • all unique two-electron integrals in the MO basis that are + non-zero by symmetry, and +
  • +
  • all CI information, including the CI vectors. +
  • +
+These large data structures are allocated on the local stack. A fatal +error will result if insufficient memory is available. + +

+ +

+18.9 Forcing regeneration of the MO integrals +

+ +

+When scanning a potential energy surface or optimizing a geometry the +MO integrals need to be regenerated each time. Specify +

+  set selci:moints:force logical .true.
+
+to accomplish this. + +

+ +

+18.10 Disabling update of the configuration list +

+ +

+When computing CI+PT energy the reference configuration list is +normally updated to reflect all configurations that interact more than +the specified threshold. This is usually desirable. But when +scanning a potential energy surface or optimizing a geometry the +reference list must be kept fixed to keep the potential energy surface +continuous and well defined. To do this specify +

+  set selci:update logical .false.
+
+ +

+ +

+18.11 Orbital locking in CI geometry optimization +

+ +

+The selected CI wavefunction is not invariant to orbital rotations or +to swapping two or more orbitals. Orbitals could be swapped or rotated +when the geometry is changed in a geometry optimization step. The keyword +lock has to be set in the SCF/MCSCF (vectors) input block to keep the +orbitals in the same order throughout the geometry optimization. + +

+


+ + +next + +up + +previous + +contents +
+ Next: 19. Coupled Cluster Calculations + Up: user + Previous: 17. Multiconfiguration SCF +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node21.html b/web/doc/user.4.6/node21.html new file mode 100644 index 0000000000..b0063e054b --- /dev/null +++ b/web/doc/user.4.6/node21.html @@ -0,0 +1,391 @@ + + + + + +19. Coupled Cluster Calculations + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 20. Geometry Optimization with + Up: user + Previous: 18. Selected CI +   Contents +
+
+ + +Subsections + + + +
+ +

+19. Coupled Cluster Calculations +

+ +

+The NWChem coupled cluster energy module is primarily the work of +Alistair Rendell and Rika Kobayashi, with contributions from David +Bernholdt. + +

+The coupled cluster code can perform calculations with full iterative +treatment of single and double excitations and non-iterative inclusion +of triple excitation effects. It is presently limited to closed-shell +(RHF) references. + +

+Note that symmetry is not used within most of the CCSD(T) code. +This can have a profound impact on performance since the speed-up from +symmetry is roughly the square of the number of irreducible +representations. In the absence of symmetry, the performance of this +code is competitive with other programs. + +

+The operation of the coupled cluster code is controlled by the input +block +

+  CCSD
+    [MAXITER <integer maxiter default 20>]
+    [THRESH  <real thresh default 10e-6>]
+    [TOL2E <real tol2e default min(10e-12 , 0.01*$thresh$)>]
+    [DIISBAS  <integer diisbas default 5>]
+    [FREEZE [[core] (atomic || <integer nfzc default 0>)] \
+            [virtual <integer nfzv default 0>]]
+    [IPRT  <integer IPRT default 0>]
+    [PRINT ...]
+    [NOPRINT ...]
+  END
+
+Note that the keyword CCSD is used for the input block +regardless of the actual level of theory desired (specified with the +TASK directive). The following directives are recognized +within the CCSD group. + +

+ +

+19.1 MAXITER -- Maximum number of iterations +

+ +

+The maximum number of iterations is set to 20 by default. This should +be quite enough for most calculations, although particularly +troublesome cases may require more. + +

+

+  MAXITER  <integer maxiter default 20>
+
+ +

+ +

+19.2 THRESH -- Convergence threshold +

+ +

+Controls the convergence threshold for the iterative part of the +calculation. Both the RMS error in the amplitudes and the +change in energy must be less than thresh. + +

+

+  THRESH  <real thresh default 10e-6>
+
+ +

+ +

+19.3 TOL2E -- integral screening threshold +

+ +

+

+  TOL2E <real tol2e default min(10e-12 , 0.01*$thresh$)>
+
+ +

+The variable tol2e is used in determining the integral +screening threshold for the evaluation of the energy and related +quantities. + +

+CAUTION! At the present time, the tol2e parameter only +affects the three- and four-virtual contributions, and the triples, +all of which are done ``on the fly''. The transformations +used for the other parts of the code currently have a hard-wired +threshold of $10^{-12}$. The default for tol2e is set to match +this, and since user input can only make the threshold smaller, +setting this parameter can only make calculations take longer. + +

+ +

+19.4 DIISBAS -- DIIS subspace dimension +

+ +

+Specifies the maximum size of the subspace used in DIIS convergence +acceleration. Note that DIIS requires the amplitudes and errors be +stored for each iteration in the subspace. Obviously this can +significantly increase memory requirements, and could force the user +to reduce DIISBAS for large calculations. + +

+Measures to alleviate this problem, including more compact +storage of the quantities involved, and the possibility of disk +storage are being considered, but have not yet been implemented. + +

+

+  DIISBAS  <integer diisbas default 5>
+
+ +

+ +

+19.5 FREEZE -- Freezing orbitals +

+ +

+

+    [FREEZE [[core] (atomic || <integer nfzc default 0>)] \
+            [virtual <integer nfzv default 0>]]
+
+ +

+This directive is idential to that used in the MP2 module, Section +16.1. + +

+ +

+19.6 IPRT -- Debug printing +

+ +

+This directive controls the level of output from the code, mostly to +facilitate debugging and the like. The larger the value, the more +output printed. From looking at the source code, the interesting +values seem to be IPRT $>$ 5, 10, and 50. + +

+

+  IPRT  <integer IPRT default 0>
+
+ +

+ +

+19.7 PRINT and NOPRINT +

+ +

+The coupled cluster module supports the standard NWChem print control +keywords, although very little in the code is actually hooked into +this mechanism yet. + +

+ + + + + + + + + + + + + + + + + + + + + +
ItemPrint LevelDescription
``reference''highWavefunction information
``guess pair energies''debugMP2 pair energies
``byproduct energies''defaultIntermediate energies
``term debugging switches''debugSwitches for individual terms
+ +

+ +

+19.8 Methods (Tasks) Recognized +

+ +

+Currently available methods are + +

    +
  • CCSD - Full iterative inclusion of single and double +excitations +
  • +
  • CCSD+T(CCSD) - The fourth order triples contribution computed with +converged singles and doubles amplitudes +
  • +
  • CCSD(T) - The linearized triples approximation due to + Raghavachari. +
  • +
+ +

+The calculation is invoked using the the TASK directive, so to +perform a CCSD+T(CCSD) calculation, for example, the input file should +include the directive +

+  TASK CCSD+T(CCSD)
+
+ +

+Lower-level results which come as by-products (such as MP3/MP4) of the +requested calculation are generally also printed in the output file +and stored on the run-time database, but the method specified in the +TASK directive is considered the primary result. + +

+ +

+19.9 Debugging and Development Aids +

+ +

+The information in this section is intended for use by experts (both +with the methodology and with the code), primarily for debugging and +development work. Messing with stuff in listed in this section will +probably make your calculation quantitatively wrong! +Consider yourself warned! + +

+ +

+19.9.1 Switching On and Off Terms +

+ +

+The /DEBUG/ common block contains a number of arrays which +control the calculation of particular terms in the program. These are +15-element integer arrays (although from the code only a few elements +actually effect anything) which can be set from the input deck. See +the code for details of how the arrays are interpreted. + +

+Printing of this data at run-time is controlled by the +"term debugging switches" print option. The values are checked against +the defaults at run-time and a warning is printed to draw attention to +the fact that the calculation does not correspond precisely to the +requested method. + +

+

+  DOA  <integer array default 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2>
+  DOB  <integer array default 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2>
+  DOG  <integer array default 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1>
+  DOH  <integer array default 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1>
+  DOJK <integer array default 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2>
+  DOS  <integer array default 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1>
+  DOD  <integer array default 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1>
+
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 20. Geometry Optimization with + Up: user + Previous: 18. Selected CI +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node22.html b/web/doc/user.4.6/node22.html new file mode 100644 index 0000000000..a0fd53bf1c --- /dev/null +++ b/web/doc/user.4.6/node22.html @@ -0,0 +1,501 @@ + + + + + +20. Geometry Optimization with DRIVER + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 21. Geometry Optimization with + Up: user + Previous: 19. Coupled Cluster Calculations +   Contents +
+
+ + +Subsections + + + +
+ +

+20. Geometry Optimization with DRIVER +

+ +

+The DRIVER module is one of two drivers (see Section 21 +for documentation on STEPPER) to perform a geometry optimization +function on the molecule defined by input using the GEOMETRY +directive (see Section 6). Geometry optimization is +either an energy minimization or a transition state optimization. +The algorithm programmed in DRIVER is a quasi-newton optimization +with line searches and approximate energy Hessian updates. + +

+DRIVER is selected by default out of the two available modules to +perform geometry optimization. In order to force use of DRIVER (e.g., +because a previous optimization used STEPPER) provide a DRIVER input +block (below) -- even an empty block will force use of DRIVER. + +

+Optional input for this module is specified within the compound +directive, +

+  DRIVER 
+    (LOOSE || DEFAULT || TIGHT)
+    GMAX <real value>
+    GRMS <real value>
+    XMAX <real value>
+    XRMS <real value>
+
+    EPREC <real eprec default 1e-7>
+
+    TRUST <real trust default 0.3>
+    SADSTP <real sadstp default 0.1>
+
+    CLEAR
+    REDOAUTOZ
+
+    INHESS <integer inhess default 0>
+
+    (MODDIR || VARDIR) <integer dir default 0>
+    (FIRSTNEG || NOFIRSTNEG)
+
+    MAXITER <integer maxiter default 20>
+
+    BSCALE <real BSCALE default 1.0>
+    ASCALE <real ASCALE default 0.25>
+    TSCALE <real TSCALE default 0.1>
+    HSCALE <real HSCALE default 1.0>
+   
+    PRINT ...
+
+    XYZ [<string xyz default $file_prefix$>]
+    NOXYZ
+
+  END
+
+ +

+On each optimization step a line search is performed. +To speed up calculations (up to two times), it may be beneficial +to turn off the line search using following directive: +

+set driver:linopt 0
+
+ +

+ +

+ +

+20.1 Convergence criteria +

+ +

+

+    (LOOSE || DEFAULT || TIGHT)
+    GMAX <real value>
+    GRMS <real value>
+    XMAX <real value>
+    XRMS <real value>
+
+ +

+In version 3.3 Gaussian-style convergence criteria have been adopted. +The defaults may be used, or the directives LOOSE, +DEFAULT, or TIGHT specified to use standard sets of +values, or the individual criteria adjusted. All criteria are in +atomic units. +GMAX and GRMS control the maximum and root mean square +gradient in the coordinates being used (Z-matrix, redundant internals, +or Cartesian). XMAX and XRMS control the maximum and +root mean square of the Cartesian step. + +

+

+                  LOOSE    DEFAULT    TIGHT
+         GMAX   0.0045d0   0.00045   0.000015   
+         GRMS   0.0030d0   0.00030   0.00001
+         XMAX   0.0054d0   0.00180   0.00006
+         XRMS   0.0036d0   0.00120   0.00004
+
+ +

+Note that GMAX and GRMS used for convergence of geometry may significantly vary in +different coordinate systems such as Z-matrix, redundant internals, or Cartesian. +The coordinate system is defined in the input file (default is Z-matrix). +Therefore the choice of coordinate system may slightly affect converged energy. +Although in most cases XMAX and XRMS are last to converge which are always done +in Cartesian coordinates, which insures convergence to the same geometry in +different coordinate systems. + +

+The old criterion may be recovered with the input +

+   gmax 0.0008; grms 1; xrms 1; xmax 1
+
+ +

+ +

+20.2 Available precision +

+ +

+

+    EPREC <real eprec default 1e-7>
+
+ +

+In performing a line search the optimizer must know the +precision of the energy (this has nothing to +do with convergence criteria). The default value +of 1e-7 should be adjusted if less, or more, precision +is available. Note that the default EPREC for DFT +calculations is 5e-6 instead of 1e-7. + +

+ +

+20.3 Controlling the step length +

+ +

+

+    TRUST <real trust default 0.3>
+    SADSTP <real sadstp default 0.1>
+
+ +

+A fixed trust radius (trust) is used to control the step during +minimizations, and is also used for modes being minimized during +saddle-point searches. It defaults to 0.3 for minimizations and 0.1 +for saddle-point searches. The parameter sadstp is the trust +radius used for the mode being maximized during a saddle-point search +and defaults to 0.1. + +

+ +

+20.4 Maximum number of steps +

+ +

+

+    MAXITER <integer maxiter default 20>
+
+ +

+By default at most 20 geometry optimization steps will be taken, +but this may be modified with this directive. + +

+ +

+20.5 Discard restart information +

+
+    CLEAR
+
+ +

+By default Driver reuses Hessian information from a previous +optimization, and, to facilitate a restart also stores which mode is +being followed for a saddle-point search. This option deletes all +restart data. + +

+ +

+20.6 Regenerate internal coordinates +

+ +

+

+    REDOAUTOZ
+
+ +

+Deletes Hessian data and regenerates internal coordinates at the +current geometry. Useful if there has been a large change in the +geometry that has rendered the current set of coordinates invalid or +non-optimal. + +

+ +

+20.7 Initial Hessian +

+
+    INHESS <integer inhess default 0>
+
+ +

+ +

    +
  • 0 = Default ... use restart data if available, otherwise use diagonal guess. +
  • +
  • 1 = Use diagonal initial guess. +
  • +
  • 2 = Use restart data if available, otherwise transform +Cartesian Hessian from previous frequency calculation. +
  • +
+ +

+In addition, the diagonal elements of the initial Hessian for +internal coordinates may be scaled using separate factors for +bonds, angles and torsions with the following +

+    BSCALE <real bscale default 1.0>
+    ASCALE <real ascale default 0.25>
+    TSCALE <real tscale default 0.1>
+
+These values typically give a two-fold speedup over unit values, based +on about 100 test cases up to 15 atoms using 3-21g and 6-31g* SCF. +However, if doing many optimizations on physically similar systems it +may be worth fine tuning these parameters. + +

+Finally, the entire Hessian from any source may be scaled +by a factor using the directive +

+    HSCALE <real hscale default 1.0>
+
+It might be of utility, for instance, when computing an initial +Hessian using SCF to start a large MP2 optimization. The SCF +vibrational modes are expected to be stiffer than the MP2, so scaling +the initial Hessian by a number less than one might be beneficial. + +

+ +

+20.8 Mode or variable to follow to saddle point +

+ +

+

+    (MODDIR || VARDIR) <integer dir default 0>
+    (FIRSTNEG || NOFIRSTNEG)
+
+ +

+When searching for a transition state the program, by default, +will take an initial step uphill and then do mode following +using a fuzzy maximum overlap (the lowest eigen-mode with an +overlap with the previous search direction of 0.7 times the +maximum overlap is selected). Once a negative eigen-value +is found, that mode is followed regardless of overlap. + +

+The initial uphill step is appropriate if the gradient points roughly +in the direction of the saddle point, such as might be the case if a +constrained optimization was performed at the starting geometry. +Alternatively, the initial search direction may be chosen to be along +a specific internal variable (using the directive +VARDIR) or along a specific eigen-mode (using MODDIR). +Following a variable might be valuable if the initial gradient is +either very small or very large. Note that the eigen-modes in the +optimizer have next-to-nothing to do with the output from a frequency +calculation. You can examine the eigen-modes used by the optimizer +with + +

+

+         driver; print hvecs; end
+
+ +

+The selection of the first negative mode is usually a good choice if +the search is started in the vicinity of the transition state and the +initial search direction is satisfactory. However, sometimes the +first negative mode might not be the one of interest (e.g., transverse +to the reaction direction). If NOFIRSTNEG is specified, the +code will not take the first negative direction and will continue doing +mode-following until that mode goes negative. + +

+ +

+20.9 Optimization history as XYZ files +

+ +

+

+    XYZ [<string xyz default $fileprefix>]
+    NOXYZ
+
+ +

+The XYZ directive causes the geometry at each step (but not +intermediate points of a line search) to be output into separate files +in the permanent directory in XYZ format. The optional string will +prefix the filename. The NOXYZ directive turns this off. + +

+For example, the input +

+    driver; xyz test; end
+
+will cause files test-000.xyz, test-001.xyz, ... to be created +in the permanent directory. + +

+The script rasmolmovie in the NWChem contrib directory +can be used to turn these into an animated GIF movie. + +

+ +

+20.10 Print options +

+ +

+The UNIX command "egrep '^@' < output" will extract a pretty +table summarizing the optimization. + +

+If you specify the NWChem input +

+      scf; print none; end
+      driver; print low; end
+      task scf optimize
+
+you'll obtain a pleasantly terse output. + +

+For more control, these options for the standard print directive are +recognized + +

    +
  • debug - prints a large amount of data. Don't use in parallel. +
  • +
  • high - print the search direction in internals +
  • +
  • default - prints geometry for each major step (not during + the line search), gradient in internals (before + and after application of constraints) +
  • +
  • low - prints convergence and energy information. At + convergence prints final geometry, change in internals + from initial geometry +
  • +
+and these specific print options + +
    +
  • finish (low) - print geometry data at end of calculation +
  • +
  • bonds (default) - print bonds at end of calculation +
  • +
  • angles (default) - print angles at end of calculation +
  • +
  • hvecs (never) - print eigen-values/vectors of the Hessian +
  • +
  • searchdir (high) - print the search direction in internals +
  • +
  • `internal gradient' (default) - print the gradient in internals +
  • +
  • sadmode (default) - print the mode being followed to the saddle point +
  • +
+ +

+ +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 21. Geometry Optimization with + Up: user + Previous: 19. Coupled Cluster Calculations +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node23.html b/web/doc/user.4.6/node23.html new file mode 100644 index 0000000000..15119e8b4b --- /dev/null +++ b/web/doc/user.4.6/node23.html @@ -0,0 +1,319 @@ + + + + + +21. Geometry Optimization with STEPPER + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 22. Constraints for Geometry + Up: user + Previous: 20. Geometry Optimization with +   Contents +
+
+ + +Subsections + + + +
+ +

+21. Geometry Optimization with STEPPER +

+ +

+ +

+The STEPPER module performs a search for critical points on the +potential energy surface of the molecule defined by input using the +GEOMETRY directive (see Section 6). Since STEPPER +is not the primary geometry optimization module in NWChem the +compound directive is required; the DRIVER module is the default (see +Section 20). Input for this module is +specified within the compound directive, + +

+

+  STEPPER
+    ...
+  END
+
+ +

+The presence of the STEPPER compound directive automatically turns off +the default geometry optimization tool DRIVER. Input specified for the +STEPPER module must appear in the input file after the +GEOMETRY directive, since it must know the number of atoms that +are to be used in the geometry optimization. In the current version +of NWChem, STEPPER can be used only with geometries that are defined +in Cartesian coordinates. STEPPER removes translational and +rotational components before determining the step direction (5 +components for linear systems and 6 for others) using a standard +Eckart algorithm. The default initial guess nuclear Hessian is the +identity matrix. + +

+The default in STEPPER is to minimize the energy as a function of the +geometry with a maximum of 20 geometry optimization iterations. When +this is the desired calculation, no input is required other than the +STEPPER compound directive. However, the user also has the option of +defining different tasks for the STEPPER module, and can vary the +number of iterations and the convergence criteria from the default +values. The input for these options is described in the following +sections. + +

+ +

+21.1 MIN and TS -- Minimum or transition state search +

+ +

+The default is for STEPPER to minimize the energy with respect to the +geometry of the system. This default behavior may be forced with the +directive +

+  MIN
+
+ +

+STEPPER can also be used to find the transition state by following the +lowest eigenvector of the nuclear Hessian. This is usually invoked +by using the saddle keyword on the TASK directive +(Section 5.10), but it may also be selected by specifying +the directive +

+  TS
+
+in the STEPPER input. + +

+ +

+21.2 TRACK -- Mode selection +

+ +

+STEPPER has the ability to ``track'' a specific mode during an +optimization for a transition state search, the user can also have the +module track the eigenvector corresponding to a specific mode. This +is done by specifying the directive +

+  TRACK [nmode <integer nmode default 1>]
+
+The keyword TRACK tells STEPPER to track the eigenvector +corresponding to the integer value of <nmode> during a transition +state walk. (Note: this input is invalid for a minimization walk +since following a specific eigenvector will not necessarily give the +desired local minimum.) The step is constructed to go up in energy +along the nmode eigenvector and down in all other degrees of +freedom. + +

+ +

+21.3 MAXITER -- Maximum number of steps +

+ +

+In most applications, 20 stepper iterations will be sufficient to +obtain the energy minimization. However, the user has the option of +specifying the maximum number of iterations allowed, using the input +line, +

+  MAXITER <integer maxiter default 20>
+
+The value specified for the integer <maxiter> defines the maximum +number of geometry optimization steps. The geometry optimization will +restart automatically. + +

+ +

+21.4 TRUST -- Trust radius +

+ +

+The size of steps that can be taken in STEPPER is controlled by the +trust radius which has a default value of 0.1. Steps are constrained +to be no larger than the trust radius. The user has the option of +overriding this default using the keyword TRUST, with the +following input line, +

+  TRUST <real radius default 0.1>
+
+ +

+The larger the value specified for the variable radius, the +larger the steps that can be taken by STEPPER. Experience has shown +that for larger systems (i.e., those with 20 or more atoms), a value +of 0.5, or greater, usually should be entered for <radius>. + +

+ +

+21.5 CONVGGM, CONVGG and CONVGE -- Convergence criteria +

+ +

+Three convergence criteria can be specified explicitly for the +STEPPER calculations. The keyword CONVGGM allows the user to +specify the convergence tolerance for the largest component of the +gradient. This is the primary convergence criterion, as per the default +settings, although all three criteria are in effect. this default setting +is consistent with the other optimizer module DRIVER. +The input line for CONVGGM has the following form, +

+   CONVGGM <real convggm default 8.0d-04>
+
+The keyword CONVGG allows the user to +specify the convergence tolerance for the gradient norm for +all degrees of freedom. The input line is of the following form, +
+   CONVGG <real convgg default 1.0d-02>
+
+The entry for the real variable <convgg> should be approximately +equal to the square root of the energy convergence tolerance. + +

+The energy convergence tolerance is the convergence criterion for the +energy difference in the geometry optimization in STEPPER. It can be +specified by input using a line of the following form, +

+   CONVGE <real convge default 1.0d-04>
+
+ +

+ +

+ +
+21.6 Backstepping in STEPPER +

+If a step taken during the optimization is too large (e.g., the step +causes the energy to go up for a minimization or down for a transition +state search), the STEPPER optimizer will automatically ``backstep'' +and correct the step based on information prior to the faulty step. +If you have an optimization that ``backsteps'' frequently then the +initial trust radius should most likely be decreased. + +

+ +

+21.7 Initial Nuclear Hessian Options +

+Stepper uses a modified Fletcher-Powell algorithm to find the +transition state or energy minimum on the potential energy +hypersurface. There are two files left in the user's permanent +directory that are used to provide an initial hessian to the critical +point search algorithm. If these files do not exist then the default +is to use a unit matrix as the initial hessian. Once Stepper executes +it generates a binary dump file by the name of name.stpr41 +which will be used on all subsequent stepper runs and modified with +the current updated hessian. The default file prefix is the ``name'' +that is used (c.f., 5.1). It also stores the information +for the last valid step in case the algorithm must take a ``backstep'' +(c.f., 21.6). This file is the working data +store for all stepper-based optimizations. This file is never deleted +by default and is the first source of an initial hessian. +The second source of an inital hessian is an ascii file that contains +the lower triangular values of the initial hessian. This is stored in +file name.hess, where ``name'' is again the default file +prefix. This is the second source of an initial hessian and +is the method used to incorporate an initial hessian from any other +source (e.g., another ab initio code, a molecular mechanics +code, etc.,). To get a decent starting hessian at a given point you +can use the task specification task scf hessian, with a smaller +basis set, which will by default generate the name.hess file. +Then you may define your basis set of choice and proceed with the +optimization you desire.21.1 +

+


+ + +next + +up + +previous + +contents +
+ Next: 22. Constraints for Geometry + Up: user + Previous: 20. Geometry Optimization with +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node24.html b/web/doc/user.4.6/node24.html new file mode 100644 index 0000000000..8067b76a2c --- /dev/null +++ b/web/doc/user.4.6/node24.html @@ -0,0 +1,230 @@ + + + + + +22. Constraints for Geometry Optimization + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 23. Hybrid Calculations with + Up: user + Previous: 21. Geometry Optimization with +   Contents +
+
+ + +

+22. Constraints for Geometry Optimization +

+ +

+The constraints directive allows the user to specify which constraints +should be imposed on the system during the geometry optimization. Currently +such constraints are limited to fixed atom positions and +harmonic restraints (springs) on the distance between the two atoms. The +general form of constraints block is presented below: +

+  CONSTRAINTS [string name ] \
+           [clear] \
+           [enable||disable] \
+           [fix atom <integer list>] \
+           [spring bond <integer atom1> <integer atom2> <real k> <real r0> ]
+  END
+
+The keywords are described below + +
    +
  • name - optional keyword that associates a name with a given set of +constraints. Any unnamed set of constraints will be given a name ''default'' +and will be automatically loaded prior to a calculation. Any constraints +with the name other than ''default'' will have to be loaded manually using +SET directive. For example, +
  • +
+ +

+

+  CONSTRAINTS one
+    spring bond 1 3 5.0 1.3
+    fix atom 1
+  END
+   
+  #the above constraints can be loaded using set directive
+  set constraints one
+  ....
+  task ....
+
+ +

+ +

    +
  • clear - destroys any prior constraint information. This may be +useful when the same constraints have to be redefined or completely removed from +the runtime database. + +

    +

  • +
  • enable||disable - enables or +disables particular set of constraints without actually removing the +information from the runtime database. + +

    +

  • +
  • fix atom - fixes atom positions during geometry optimization. This +directive requires an integer list that specifies which atoms are to be +fixed. This directive can be repeated within a given constraints block. +To illustrate the use "fix atom" directive let us +consider a situation where we would like to fix atoms 1, 3, 4, 5, 6 while performing an optimization on some hypothetical system. +There are actually several +ways to enter this particular constraint. +There is a straightforward option which requires the most typing + +

    +

    +  constraints
    +    fix atom 1 3 4 5 6
    +  end
    +
    + +

    +Second method uses list input +

    +  constraints
    +    fix atom 1 3:6
    +  end
    +
    + +

    +Third approach illustrates the use of multiple fix atom directives +

    +  constraints
    +    fix atom 1
    +    fix atom 3:6
    +  end
    +
    + +

    +

  • +
  • spring bond <$i j k r_0$> - places a spring with a spring constant $k$ and equilibrium length $r_0$ +between atoms $i$ and $j$ (all in atomic units). Please note that this type of constraint adds an additional term to +the total energy expression +

    +
    + + +\begin{displaymath}
+E=E_{total}+\frac{1}{2}k(r_{ij}-r_0)^2
+\end{displaymath} +
    +
    +

    +This additional term forces the distance between atoms $i$ and $j$ to be in the vicinity of $r_0$ but never exactly that. In general +the spring energy term will always have some nonzero residual value, and this has to be accounted for when comparing total +energies. The "spring bond" directive can be repeated within a given constraints block. If the spring between the same pair of atoms +is defined more than once, it will be replaced by the latest specification in the order it appears in the input block. +
  • +
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 23. Hybrid Calculations with + Up: user + Previous: 21. Geometry Optimization with +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node25.html b/web/doc/user.4.6/node25.html new file mode 100644 index 0000000000..da594844fb --- /dev/null +++ b/web/doc/user.4.6/node25.html @@ -0,0 +1,1005 @@ + + + + + +23. Hybrid Calculations with ONIOM + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 24. Hessians + Up: user + Previous: 22. Constraints for Geometry +   Contents +
+
+ + +Subsections + + + +
+ +

+23. Hybrid Calculations with ONIOM +

+ +

+ONIOM is the hybrid method of Morokuma and co-workers that enables +different levels of theory to be applied to different parts of a +molecule/system and combined to produce a consistent energy +expression. The objective is to perform a high-level calculation on +just a small part of the system and to include the effects of the +remainder at lower levels of theory, with the end result being of +similar accuracy to a high-level calculation on the full system. + +

+ +

    +
  1. M. Svensson, S. Humbel, R.D.J. Froese, T. Mastubara, S. Sieber, and +K. Morokuma, J. Phys. Chem., 100, 19357 (1996). +
  2. +
  3. S. Dapprich, I. Komaromi, K.S. Byun, K. Morokuma, and M.J. Frisch, +J. Mol. Struct. (Theochem), 461-462, 1 (1999). +
  4. +
  5. R.D.J. Froese and K. Morokuma in ``Encylopedia of Computational Chemistry,'' +volume 2, pp.1244-1257, (ed. P. von Rague Schleyer, John Wiley and Sons, +Chichester, Sussex, 1998). +
  6. +
+ +

+The NWChem ONIOM module implements two- and three-layer ONIOM models +for use in energy, gradient, geometry optimization, and vibrational +frequency calculations with any of the pure quantum mechanical methods +within NWChem. At the present time, it is not possible to perform +ONIOM calculations with either solvation models or classical force +fields. Nor is it yet possible to compute properties except as +derivatives of the total energy. + +

+Using the terminology of Morokuma et al., the full molecular geometry +including all atoms is referred to as the ``real'' geometry and it is +treated using a ``low''-level of theory. A subset of these atoms +(referred to as the ``model'' geometry) are treated using both the +``low''-level and a ``high''-level of theory. A three-layer model +also introduces an ``intermediate'' model geometry and a ``medium'' +level of theory. + +

+The two-layer model requires a high and low level of theory and a +real and model molecular geometry. The energy at the high-level of +theory for the real geometry is estimated as +

+      E(High,Real) = E(Low,Real) + [E(High,Model) - E(Low,Model)].
+
+The three-layer model requires high, medium and low levels of theory, +and real, intermediate and model geometries and the corresponding +energy estimate is +
+      E(High,Real) = E(Low,Real) + [E(High,Model) - E(Medium,Model)]
+                     +  [E(Medium,Inter) - E(Low,Inter)].
+
+ +

+When does ONIOM work well? The approximation for a two-layer model +will be good if + +

    +
  • the model system includes the interactions that dominate the + energy difference being computed and the high-level of theory + describes these to the required precision, and +
  • +
  • the interactions between the model and the rest of the real system + (substitution effects) are described to sufficient accuracy at the + lower level of theory. +
  • +
+ONIOM is used to compute energy differences and the absolute energies +are not all that meaningful even though they are well defined. Due to +cancellation of errors, ONIOM actually works better than you might +expect, but a poorly designed calculation can yield very bad results. +Please read and heed the caution at the end of the article by Dapprich +et al. + +

+The input options are as follows +

+ONIOM
+  HIGH   <string theory> [basis <string basis default "ao basis">] \
+                         [ecp <string ecp>] [input <string input>]
+ [MEDIUM <string theory> [basis <string basis default "ao basis">] \
+                         [ecp <string ecp>] [input <string input>]]
+  LOW    <string theory> [basis <string basis default "ao basis">] \
+                         [ecp <string ecp>] [input <string input>]
+  MODEL <integer natoms> [charge <double charge>] \
+                         [<integer i1 j1> <real g1> [<string tag1>] ...]
+ [INTER <integer natoms> [charge <double charge>] \
+                         [<integer i1 j1> <real g1> [<string tag1>] ...]]
+ [VECTORS [low-real <string mofile>] [low-model <string mofile>] \
+          [high-model <string mofile>] [medium-model <string mofile]\
+          [medium-inter <string mofile>] [low-inter <string mofile>]]
+ [PRINT ...]
+ [NOPRINT ...]
+END
+
+which are described in detail below. + +

+For better validation of user input, the HIGH, +LOW and MODEL directives must always be specified. If +the one of the MEDIUM or INTER directives are specified, +then so must the other. + +

+ +

+23.1 Real, model and intermediate geometries +

+ +

+The geometry and total charge of the full or real system should be +specified as normal using the geometry directive (see Section +6). If $N_{model}$ of the atoms are to be included in +the model system, then these should be specified first in the +geometry. Similarly, in a three-layer calculation, if there are +$N_{inter}$ atoms to be included in the intermediate system, then +these should also be arranged together at the beginning of the +geometry. The implict assumption is that the model system is a subset +of the intermediate system which is a subset of the real system. The +number of atoms to be included in the model and intemediate systems +are specified using the MODEL and INTER directives. +Optionally, the total charge of the model and intermediate systems may +be adjusted. The default is that all three systems have the same +total charge. + +

+Example 1. A two-layer calculation on $K^{+}(H_2O)$ taking the +potassium ion as the model system. Note that no bonds are broken so +no link atoms are introduced. The real geometry would be specified +with potassium (the model) first. +

+    geometry autosym
+      K  0    0.00    1.37
+      O  0    0.00   -1.07
+      H  0   -0.76   -1.68
+      H  0    0.76   -1.68
+    end
+
+and the following directive in the ONIOM input block indicates that +one atom (implicitly the first in the geometry) is in the model system +
+    model 1
+
+ +

+ +

+23.1.1 Link atoms +

+Link atoms for bonds spanning two regions are automatically generated +from the bond information. The additional parameters on the +MODEL and INTER directives describe the broken bonds +including scale factors for placement of the link atom +and, optionally, the type of link atom. The type of link atom +defaults to hydrogen, but any type may be specified (actually here you +are specifying a geometry tag which is used to associate a geometrical +center with an atom type and basis sets, etc.. See section +6.3). +For each broken bond specify the numbers of the two atoms (i and j), +the scale factor (g) and optionally the tag of the link atom. Link +atoms are placed along the vector connecting the the first to the +second atom of the bond according to the equation +

+
+ + +\begin{displaymath}
+\underline{R}_{link} = (1-g)\underline{R}_{1} + g*\underline{R}_{2}
+\end{displaymath} +
+
+

+where $g$ is the scale factor. If the scale factor is one, then the +link atom is placed where the second atom was. More usually, the +scale factor is less than one, in which case the link atom is placed +between the original two atoms. The scale factor should be chosen so +that the link atom (usually hydrogen) is placed near its equilibrium +bond length from the model atom. E.g., when breaking a single +carbon-carbon bond (typical length 1.528 Angstrøms) using a hydrogen +link atom we will want a carbon-hydrogen bond length of about 1.084 +Angstrøms, so the scale factor should be chosen as +$1.084/1.528
+\approx 0.709$. + +

+Example 2. A calculation on acetaldehyde ($H_3C-CHO$) using aldehyde +($H-CHO$) as the model system. The covalent bond between the two +carbon atoms is broken and a link atom must be introduced to replace +the methyl group. The link atom is automatically generated -- all +you need to do is specify the atoms in the model system that are also +in the real system (here $CHO$) and the broken bonds. Here is the +geometry of acetaldehyde with the $CHO$ of aldehyde first +

+    geometry
+      C    -0.383    0.288    0.021
+      H    -1.425    0.381    0.376
+      O     0.259    1.263   -0.321
+
+      H     0.115   -1.570    1.007
+      H    -0.465   -1.768   -0.642
+      H     1.176   -1.171   -0.352
+      C     0.152   -1.150    0.005
+    end
+
+There are three atoms (the first three) of the real geometry included +in the model geometry, and we are breaking the bond between atoms 1 +and 7, replacing atom 7 with a hydrogen link atom. This is all +accomplished by the directive +
+    model 3   1 7 0.709 H
+
+Since the default link atom is hydrogen there is actually no need to +specify the ``H''. + +

+See also Section 23.6.3 for a more complex example. + +

+ +

+23.1.2 Numbering of the link atoms +

+ +

+The link atoms are appended to the atoms of the model or intermediate +systems in the order that the broken bonds are specified in the input. +This is of importance only if manually constructing an initial guess. + +

+ +

+23.2 High, medium and low theories +

+ +

+The two-layer model requires both the high-level and low-level +theories be specified. The three-layer model also requires the +medium-level theory. Each of these includes a theory (such as SCF, +MP2, DFT, CCSD, CCSD(T), etc.), an optional basis set, an optional ECP, +and an optional string containing general NWChem input. + +

+ +

+23.2.1 Basis specification +

+The basis name on the theory directive (high, medium, or low) is that +specified on a basis set directive (see Section 7) and +not the name of a standard basis in the library. If not +specified, the basis set for the high-level theory defaults to the +standard "ao basis". That for the medium level defaults to the +high-level basis, and the low-level basis defaults to the medium-level +basis. Other wavefunction parameters are obtained from the standard +wavefunction input blocks. See 23.6.2 for an example. + +

+ +

+23.2.2 Effective core potentials +

+ +

+If an effective core potential is specified in the usual fashion (see +Section 8) outside of the ONIOM input then this will be +used in all calculations. If an alternative ECP name (the name +specified on the ECP directive in the same manner as done for basis +sets) is specified on one of the theory directives, then this ECP will +be used in preference for that level of theory. See Section +23.6.2 for sample input. + +

+ +

+23.2.3 General input strings +

+ +

+For many purposes, the ability to specify the theory, basis and +effective core potential is adequate. All of the options for each +theory are determined from their independent input blocks. However, +if the same theory (e.g., DFT) is to be used with different options +for the ONIOM theoretical models, then the general input strings must +be used. These strings are processed as NWChem input each time the +theoretical model is invoked. The strings may contain any NWChem +input, except for options pertaining to ONIOM and the task directive. +The intent that the strings be used just to control the options +pertaining to the theory being used. + +

+A word of caution. Be sure to check that the options are producing +the desired results. Since the NWChem database is persistent and the +ONIOM calculations happen in an undefined order, the input strings +should fully define the calculation you wish to have happen. + +

+For instance, if the high model is DFT/B3LYP/6-311g** and the +low model is DFT/LDA/3-21g, the ONIOM input might look like this +

+    oniom
+      model 3
+      low  dft basis 3-21g    input "dft\; xc\; end"
+      high dft basis 6-311g** input "dft\; xc b3lyp\; end"
+    end
+
+The empty XC directive restores the default LDA +exchange-correlation option (see Section 11.3). Note that +semi-colons and other quotation marks inside the input string must be +preceded by a backslash to avoid special interpretation. + +

+See Section 23.6.4 for another example. + +

+ +

+23.3 Use of symmetry +

+ +

+Symmetry should work just fine as long as the model and intermediate +regions respect the symmetry -- i.e., symmetry equivalent atoms need +to be treated equivalently. If symmetry equivalent atoms must be +treated in separate regions then the symmetry must be lowered (or +completely switched off). + +

+ +

+23.4 Molecular orbital files +

+ +

+The VECTORS directive in the ONIOM block is different to that +elsewhere in NWChem. For each of the necessary combinations of theory +and geometry you can specify a different file for the molecular +orbitals. By default each combination will store the MO vectors in +the permanent directory using a file name created by appending to the +name of the calculation the following string + +

    +
  • low-real -- ".lrmos" +
  • +
  • low-inter -- ".limos" +
  • +
  • low-model -- ".lmmos" +
  • +
  • medium-inter -- ".mimos" +
  • +
  • medium-model -- ".mmmos" +
  • +
  • high-model -- ".hmmos" +
  • +
+Each calculation will utilize the appropriate vectors which is more +efficient during geometry optimizations and frequency calculations, +and is also useful for the initial calculation. In the absence of +existing MO vectors files, the default atomic guess is used (see +Section 10.5). + +

+If special measures must be taken to converge the initial SCF, DFT or +MCSCF calculation for one or more of the systems, then initial vectors +may be saved in a file with the default name, or another name may be +specified using the VECTORS directive. Note that subsequent +vectors (e.g., from a geometry optimization) will be written back to +this file, so take a copy if you wish to preserve it. +To generate the initial guess for the model or intermediate systems +it is necessary to generate the geometries which is most readily +done, if there are link atoms, by just running NWChem on the +input for the ONIOM calculation on your workstation. It will +print these geometries before starting any calculations which +you can then terminate. + +

+E.g., in a calculation on Fe(III) surrounded by some ligands, it is +hard to converge the full (real) system from the atomic guess so as to +obtain a $d^5$ configuration for the iron atom since the $d$ orbitals +are often nominally lower in energy than some of the ligand orbitals. +The most effective mechanism is to converge the isolated Fe(III) and +then to use the fragment guess (see Section 10.5.1) as a +starting guess for the real system. The resulting converged molecular +orbitals can be saved either with the default name (as described above +in this section), in which case no additional input is necessary. If +an alternative name is desired, then the VECTORS directive may +be used as follows +

+    vectors low-real /u/rjh/jobs/fe_ether_water.mos
+
+ +

+ +

+23.5 Restarting +

+ +

+Restart of ONIOM calculations does not currently work as smoothly as +we would like. For geometry optimizations that terminated gracefully +by running out of iterations, the restart will work as normal. +Otherwise, specify in the input of the restart job the last geometry +of the optimization. The Hessian information will be reused and the +calculation should proceed losing at most the cost of one ONIOM +gradient evaluation. For energy or frequency calculations, restart +may not currently be possible. + +

+ +

+23.6 Examples +

+ +

+ +

+ +
+23.6.1 Hydrocarbon bond energy +

+ +

+A simple two-layer model changing just the wavefunction with one +link atom. + +

+This reproduces the two-layer ONIOM (MP2:HF) result from Dapprich et +al. for the reaction +$R-CH_3 = R-CH_2 + H$ with $R=CH_3$ using $CH_4$ +as the model . The geometries of $R-CH_3$ and $R-CH_2$ are optimized +at the DFT-B3LYP/6-311++G** level of theory, and then ONIOM is used to +compute the binding energy using UMP2 for the model system and HF for +the real system. The results, including MP2 calculations on the full +system for comparison, are as given in Table 23.1 + +

+

+
+ + + +
Table 23.1: + Energies for ONIOM example 1, hydrocarbon bond energy using MP2:HF two-layer model.
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
TheoryMe-CH2Me-MeHDe(Hartree)De(kcal/mol)
B3LYP-79.185062-79.856575-0.5022560.169257106.2
HF-78.620141-79.251701-0.4998170.13174182.7
MP2-78.904716-79.571654-0.4998170.167120104.9
MP2:HF-78.755223-79.422559-0.4998170.167518105.1
+ +
+

+
+ +

+The following input first performs a calculation on $CH_3-CH_2$, and then +on $CH_3-CH_3$. Note that in the second calculation we cannot use the +full symmetry since we are breaking the C-C bond in forming the model +system (the non-equivalence of the methyl groups is perhaps more +apparent if we write $R-CH_3$). + +

+

+    start
+
+    basis spherical
+      H library 6-311++G**; C library 6-311++G**
+    end
+
+    title "ONIOM Me-CH2"
+
+    geometry autosym
+      H    -0.23429328     1.32498565     0.92634814
+      H    -0.23429328     1.32498565    -0.92634814
+      C    -0.13064265     0.77330370     0.00000000
+      H    -1.01618703    -1.19260361     0.00000000
+      H     0.49856072    -1.08196901    -0.88665533
+      H     0.49856072    -1.08196901     0.88665533
+      C    -0.02434414    -0.71063687     0.00000000
+    end
+
+    scf; uhf; doublet; thresh 1e-6; end
+    mp2; freeze atomic; end
+
+    oniom
+      high mp2
+      low  scf
+      model 3   3 7 0.724
+    end
+
+    task oniom
+
+    title "ONIOM Me-Me"
+
+    geometry   # Note cannot use full D3D symmetry here
+      H   -0.72023641     0.72023641    -1.16373235
+      H    0.98386124     0.26362482    -1.16373235
+      H   -0.26362482    -0.98386124    -1.16373235
+      C    0.00000000     0.00000000    -0.76537515
+      H    0.72023641    -0.72023641     1.16373235
+      H   -0.98386124    -0.26362482     1.16373235
+      H    0.26362482     0.98386124     1.16373235
+      C    0.00000000     0.00000000     0.76537515
+    end
+
+    scf; rhf; singlet; end
+
+    oniom
+      high mp2
+      low  scf
+      model 4   4 8 0.724
+    end
+
+    task oniom
+
+ +

+ +

+ +
+23.6.2 Optimization and frequencies +

+A two-layer model including modification of theory, basis, ECP and +total charge and no link atoms. + +

+This input reproduces the ONIOM optimization and vibrational frequency +calculation of $Rh(CO)_2Cp$ of Dapprich et al. The model system is +$Rh(CO)_2^+$. The low theory is the Gaussian LANL2MB model (Hay-Wadt +n+1 ECP with minimal basis on Rh, STO-3G on others) with SCF. The +high theory is the Gaussian LANL2DZ model (another Hay-Wadt ECP with a +DZ basis set on Rh, Dunning split valence on the other atoms) with +DFT/B3LYP. Note that different names should be used for the basis set +and ECP since the same mechanism is used to store them in the +database. + +

+

+    start
+
+    ecp LANL2DZ_ECP
+      rh library LANL2DZ_ECP
+    end
+
+    basis LANL2DZ spherical
+      rh library LANL2DZ_ECP
+      o library SV_(Dunning-Hay); c library SV_(Dunning-Hay); h library SV_(Dunning-Hay)
+    end
+
+    ecp Hay-Wadt_MB_(n+1)_ECP
+      rh library Hay-Wadt_MB_(n+1)_ECP
+    end
+
+    # This is the minimal basis used by Gaussian.  It is not the same 
+    # as the one in the EMSL basis set library for this ECP.
+    basis Hay-Wadt_MB_(n+1) spherical 
+      Rh s; .264600D+01 -.135541D+01; .175100D+01  .161122D+01; .571300D+00  .589381D+00
+      Rh s; .264600D+01  .456934D+00; .175100D+01 -.595199D+00; .571300D+00 -.342127D+00
+            .143800D+00  .410138D+00; .428000D-01  .780486D+00
+      Rh p; .544000D+01 -.987699D-01; .132900D+01  .743359D+00; .484500D+00  .366846D+00
+      Rh p; .659500D+00 -.370046D-01; .869000D-01  .452364D+00; .257000D-01  .653822D+00
+      Rh d; .366900D+01  .670480D-01; .142300D+01  .455084D+00; .509100D+00  .479584D+00
+            .161000D+00  .233826D+00
+      o  library sto-3g; c  library sto-3g; h  library sto-3g
+    end
+
+    charge 0
+    geometry autosym
+      rh       0.00445705    -0.15119674     0.00000000
+      c       -0.01380554    -1.45254070     1.35171818
+      c       -0.01380554    -1.45254070    -1.35171818
+      o       -0.01805883    -2.26420212     2.20818932
+      o       -0.01805883    -2.26420212    -2.20818932
+      c        1.23209566     1.89314720     0.00000000
+      c        0.37739392     1.84262319    -1.15286640
+      c       -1.01479160     1.93086461    -0.70666350
+      c       -1.01479160     1.93086461     0.70666350
+      c        0.37739392     1.84262319     1.15286640
+      h        2.31251453     1.89903673     0.00000000
+      h        0.70378132     1.86131979    -2.18414218
+      h       -1.88154273     1.96919306    -1.35203550
+      h       -1.88154273     1.96919306     1.35203550
+      h        0.70378132     1.86131979     2.18414218
+    end
+
+    dft; grid fine; convergence gradient 1e-6 density 1e-6; xc b3lyp; end
+    scf; thresh 1e-6; end
+
+    oniom
+      low scf basis Hay-Wadt_MB_(n+1) ecp  Hay-Wadt_MB_(n+1)_ECP
+      high dft basis LANL2DZ ecp LANL2DZ_ECP
+      model 5 charge 1
+      print low
+    end
+
+    task oniom optimize
+    task oniom freq
+
+ +

+ +

+ +
+23.6.3 A three-layer example +

+ +

+A three layer example combining CCSD(T), and MP2 with two different +quality basis sets, and using multiple link atoms. + +

+The full system is tetra-dimethyl-amino-ethylene (TAME) or +(N(Me)2)2-C=C-(N(Me)2)2. The intermediate system is (NH2)2-C=C-(NH2)2 +and H2C=CH2 is the model system. CCSD(T)+aug-cc-pvtz is used for the +model region, MP2+aug-cc-pvtz for the intermediate region, and +MP2+aug-cc-pvdz for everything. + +

+In the real geometry the first two atoms (C, C) are the model system +(link atoms will be added automatically). The first six atoms (C, C, +N, N, N, N) describe the intermediate system (again with link atoms to +be added automatically). The atoms have been numbered using comments +to make the bonding input easier to generate. + +

+To make the model system, four C-N bonds are broken between the +ethylene fragment and the dimethyl-amino groups and replaced with C-H +bonds. To make the intermediate system, eight C-N bonds are broken +between the nitrogens and the methyl groups and replaced with N-H +bonds. The scaling factor could be chosen differently for each of the +bonds. + +

+

+    start 
+
+    geometry 
+      C  0.40337795 -0.17516305 -0.51505208  # 1
+      C -0.40328664  0.17555927  0.51466084  # 2
+      N  1.87154979 -0.17516305 -0.51505208  # 3
+      N -0.18694782 -0.60488524 -1.79258692  # 4
+      N  0.18692927  0.60488318  1.79247594  # 5
+      N -1.87148219  0.17564718  0.51496494  # 6
+      C  2.46636552  1.18039452 -0.51505208  # 7
+      C  2.48067731 -1.10425355  0.46161675  # 8
+      C -2.46642715 -1.17982091  0.51473105  # 9
+      C -2.48054940  1.10495864 -0.46156202  # 10
+      C  0.30027136  0.14582197 -2.97072148  # 11
+      C -0.14245927 -2.07576980 -1.96730852  # 12
+      C -0.29948109 -0.14689874  2.97021079  # 13
+      C  0.14140463  2.07558249  1.96815181  # 14
+      H  0.78955302  2.52533887  1.19760764
+      H -0.86543435  2.50958894  1.88075113
+      ... and 22 other hydrogen atoms on the methyl groups
+    end
+
+    basis aug-cc-pvtz spherical
+      C library aug-cc-pvtz; H library aug-cc-pvtz
+    end
+
+    basis aug-cc-pvdz spherical
+      C library aug-cc-pvtz; H library aug-cc-pvtz
+    end
+
+    oniom      
+      high ccsd(t) basis aug-cc-pvtz
+      medium mp2 basis aug-cc-pvtz
+      low mp2 basis aug-cc-pvdz
+      model 2   1 3  0.87   1 4  0.87   2 5  0.87   2 6  0.87
+
+      inter 6   3 7  0.69   3 8  0.69   4 11 0.69   4 12 0.69 \
+                5 13 0.69   5 14 0.69   6 9  0.69   6 10 0.69
+    end
+
+    task oniom
+
+ +

+ +

+ +
+23.6.4 DFT with and without charge fitting +

+Demonstrates use of general input strings. + +

+A two-layer model for anthracene (a linear chain of three fused benzene +rings) using benzene as the model system. The high-level theory is +DFT/B3LYP/TZVP with exact Coulomb. The low level is DFT/LDA/DZVP2 with +charge fitting. + +

+Note the following. + +

    +
  1. The semi-colons and quotation marks inside the input string must be +quoted with backslash. +
  2. +
  3. The low level of theory sets the fitting basis set and the high level of +theory unsets it. +
  4. +
+ +

+

+    start
+    geometry 
+      symmetry d2h
+      C    0.71237329    -1.21458940     0.0
+      C   -0.71237329    -1.21458940     0.0
+      C    0.71237329     1.21458940     0.0
+      C   -0.71237329     1.21458940     0.0
+      C   -1.39414269     0.00000000     0.0
+      C    1.39414269     0.00000000     0.0
+      H   -2.47680865     0.00000000     0.0
+      H    2.47680865     0.00000000     0.0
+      C    1.40340535    -2.48997027     0.0
+      C   -1.40340535    -2.48997027     0.0
+      C    1.40340535     2.48997027     0.0
+      C   -1.40340535     2.48997027     0.0
+      C    0.72211503     3.64518615     0.0
+      C   -0.72211503     3.64518615     0.0
+      C    0.72211503    -3.64518615     0.0
+      C   -0.72211503    -3.64518615     0.0
+      H    2.48612947     2.48094825     0.0
+      H    1.24157357     4.59507342     0.0
+      H   -1.24157357     4.59507342     0.0
+      H   -2.48612947     2.48094825     0.0
+      H    2.48612947    -2.48094825     0.0
+      H    1.24157357    -4.59507342     0.0
+      H   -1.24157357    -4.59507342     0.0
+      H   -2.48612947    -2.48094825     0.0
+    end
+
+    basis small
+      h library DZVP_(DFT_Orbital)
+      c library DZVP_(DFT_Orbital)
+    end
+
+    basis fitting
+      h library DGauss_A1_DFT_Coulomb_Fitting
+      c library DGauss_A1_DFT_Coulomb_Fitting
+    end
+
+    basis big
+      h library TZVP_(DFT_Orbital)
+      c library TZVP_(DFT_Orbital)
+    end
+
+    oniom
+      model 8   1 9 0.75   2 10 0.75   3 11 0.75   4 12 0.75
+      high dft basis big   input "unset \"cd basis\"\; dft\; xc b3lyp\; end"
+      low  dft basis small input "set \"cd basis\" fitting\; dft\; xc\; end"
+    end
+
+    task oniom
+
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 24. Hessians + Up: user + Previous: 22. Constraints for Geometry +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node26.html b/web/doc/user.4.6/node26.html new file mode 100644 index 0000000000..de483ef4c6 --- /dev/null +++ b/web/doc/user.4.6/node26.html @@ -0,0 +1,223 @@ + + + + + +24. Hessians + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 25. Vibrational frequencies + Up: user + Previous: 23. Hybrid Calculations with +   Contents +
+
+ + +Subsections + + + +
+ +

+24. Hessians +

+ +

+This section relates to the computation of analytic hessians which +are available for open and closed shell SCF, except ROHF and for closed shell +DFT. Analytic hessians are not currently available for SCF or DFT +calculations relativistic all-electron methodologies or for charge fitting with DFT. The current +algorithm is fully in-core and does not use symmetry. This will be +changed in the next release. + +

+There is no required input for the Hessian module. This module only +impacts the hessian calculation. For options for calculating the +frequencies, please see Section 25, the Vibrational module. + +

+ +

+24.1 Hessian Module Input +

+ +

+All input for the Hessian Module is optional since the default +definitions are usually correct for most purposes. +The generic module input begins with hessian +and has the form: +

+  hessian
+    thresh <real tol default 1d-6>
+    print ...
+    profile
+  end
+
+ +

+ +

+24.1.1 Defining the wavefunction threshold +

+You may modify the default threshold for the wavefunction. This keyword +is identical to THRESH in the SCF, Section 10.7, and the +CONVERGENCE gradient in the DFT, Section 11.7. The usual +defaults for the convergence of the wavefunction for single point and +gradient calculations is generally not tight enough for analytic hessians. +Therefore, the hessian, by default, tightens these up to 1d-6 and runs +an additional energy point if needed. If, +during an analytic hessian calculation, you encounter an error: +
+cphf_solve:the available MOs do not satisfy the SCF equations
+
+the convergence criteria of the wavefunction generally needs to be +tightened. + +

+ +

+24.1.2 Profile +

+The PROFILE keyword provides additional information concerning the +computation times of +different sections of the hessian code. Summary information is +given about the maximum, minimum and average times that a particular +section of the code took to complete. This is normally only useful +for developers. + +

+ +

+24.1.3 Print Control +

+Known controllable print options are: + +

+

+
+ + + +
Table 24.1: +Hessian Print Control Specifications
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
NamePrint LevelDescription
``hess_follow''highmore information about where the calculation is
``cphf_cont''debugdetailed CPHF information
``nucdd_cont''debugdetailed nuclear contribution information
``onedd_cont''debugdetailed one electron contribution information
``twodd_cont''debugdetailed two electron contribution information
``fock_xc''debugdetailed XC information during the fock builds
+
+
+

+
+ +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 25. Vibrational frequencies + Up: user + Previous: 23. Hybrid Calculations with +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node27.html b/web/doc/user.4.6/node27.html new file mode 100644 index 0000000000..eb49d0e1de --- /dev/null +++ b/web/doc/user.4.6/node27.html @@ -0,0 +1,330 @@ + + + + + +25. Vibrational frequencies + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 26. DPLOT + Up: user + Previous: 24. Hessians +   Contents +
+
+ + +Subsections + + + +
+ +

+25. Vibrational frequencies +

+ +

+The nuclear hessian which is used to compute the vibrational +frequencies can be computed by finite difference for any ab initio +wave-function that has analytic gradients or by analytic methods +for SCF and DFT (see Section 24 for details). The appropriate +nuclear hessian generation algorithm is chosen based on the user input +when TASK <theory> frequencies is the task directive. + +

+The vibrational package was integrated from the Utah Messkit and can +use any nuclear hessian generated from the driver routines, finite +difference routines or any analytic hessian modules. There is no required +input for the ``VIB'' package. VIB computes the Infra Red frequencies +and intensities25.1 for the +computed nuclear hessian and the ``projected'' nuclear hessian. The +VIB module projects out the translations and rotations of the nuclear +hessian using the standard Eckart projection algorithm. +It also computes the zero point energy for the molecular system +based on the frequencies obtained from the projected hessian. + +

+The default mass of each atom is used unless an alternative mass is +provided via the geometry input, (c.f., 6) or redefined +using the vibrational module input. The default mass is the mass of +the most abundant isotope of each element.25.2 If the abundance was roughly equal, the mass of the +isotope with the longest half life was used. + +

+ +

+25.1 Vibrational Module Input +

+ +

+All input for the Vibrational Module is optional since the default +definitions will compute the frequencies and IR +intensities25.3. The generic +module input can begin with vib, freq, frequency +and has the form: +

+  {freq || vib || frequency}
+    reuse [<string> hessian_filename]
+    mass <integer> lexical_index <real> new_mass
+    mass <string> tag_identifier <real> new_mass
+    animate [<real> step_size_for_animation]     
+  end
+
+ +

+ +

+25.1.1 Hessian File Reuse +

+By default the task <theory> frequencies directive will +recompute the hessian. To reuse the previously computed hessian you +need only specify reuse in the module input block. If you +have stored the hessian in an alternate place you may redirect the +reuse directive to that file by specifying the path to that file. +
+  reuse /path_to_hessian_file
+
+This will reuse your saved Hessian data but one caveat is that the +geometry specification at the point where the hessian is computed must +be the default ``geometry'' on the current run-time-data-base for the +projection to work properly. + +

+ +

+25.1.2 Redefining Masses of Elements +

+You may also modify the mass of a specific center or a group of +centers via the input. + +

+To modify the mass of a specific center you can simply use: +

+  mass 3 4.00260324
+
+which will set the mass of center 3 to 4.00260324 AMUs. The lexical +index of centers is determined by the geometry object. + +

+To modify all Hydrogen atoms in a molecule you may use the tag based +mechanism: +

+  mass hydrogen 2.014101779
+
+ +

+The mass redefinitions always start with the default masses and +change the masses in the order given in the input. Care must be taken to change +the masses properly. For example, if you want all hydrogens to have +the mass of Deuterium and the third hydrogen (which is the 6th atomic +center) to have the mass of Tritium you must set the Deuterium masses +first with the tag based mechanism and then set the 6th center's mass +to that of Tritium using the lexical center index mechanism. + +

+The mass redefinitions are not fully persistent on the +run-time-data-base. Each input block that redefines masses will +invalidate the mass definitions of the previous input block. +For example, +

+freq
+  reuse
+  mass hydrogen 2.014101779
+end
+task scf frequencies
+freq
+  reuse
+  mass oxygen 17.9991603
+end
+task scf frequencies
+
+will use the new mass for all hydrogens in the first frequency +analysis. The mass of the oxygen atoms will be redefined in the second +frequency analysis but the hydrogen atoms will use the default mass. +To get a modified oxygen and hydrogen analysis you would have to use: +
+freq
+  reuse
+  mass hydrogen 2.014101779
+end
+task scf frequencies
+freq
+  reuse
+  mass hydrogen 2.014101779
+  mass oxygen 17.9991603
+end
+task scf frequencies
+
+ +

+ +

+25.1.3 Animation +

+The ``VIB'' module also can generate mode animation input files in the +standard xyz file format for graphics packages like +RasMol or XMol There are scripts to automate this for RasMol in +$NWCHEM_TOP/contrib/rasmolmovie. Each mode will have 20 xyz +files generated that cycle from the equilibrium geometry to 5 steps in +the positive direction of the mode vector, back to 5 steps in the +negative direction of the mode vector, and finally back to the +equilibrium geometry. By default these files are not generated. +To activate this mechanism simply use the following input directive +
+  animate
+
+anywhere in the frequency/vib input block. + +

+25.1.3.1 Controlling the Step Size Along the Mode Vector +

+By default, the step size used is 0.15 a.u. which will give reliable +animations for most systems. This can be changed via the input directive +
+  animate real <step_size>
+
+where <step_size> is the real number that is the magnitude of +each step along the eigenvector of each nuclear hessian mode in atomic +units. + +

+ +

+ +

+25.1.4 An Example Input Deck +

+This example input deck will optimize the geometry for the given basis +set, compute the frequencies for H$_2$O, D$_2$O, HDO, and TDO. +
+start  h2o
+title Water 
+geometry units au autosym
+  O      0.00000000    0.00000000    0.00000000
+  H      0.00000000    1.93042809   -1.10715266
+  H      0.00000000   -1.93042809   -1.10715266
+end
+basis noprint
+  H library sto-3g 
+  O library sto-3g
+end
+scf; thresh 1e-6; end
+driver; tight; end
+task scf optimize
+
+scf; thresh 1e-8; print none; end
+task scf freq 
+
+freq 
+ reuse; mass H 2.014101779
+end
+task scf freq
+
+freq
+ reuse; mass 2 2.014101779
+end
+task scf freq
+
+freq
+ reuse; mass 2 2.014101779 ; mass 3 3.01604927
+end
+task scf freq
+
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 26. DPLOT + Up: user + Previous: 24. Hessians +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node28.html b/web/doc/user.4.6/node28.html new file mode 100644 index 0000000000..aa3954a5e5 --- /dev/null +++ b/web/doc/user.4.6/node28.html @@ -0,0 +1,379 @@ + + + + + +26. DPLOT + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 27. Electron Transfer Calculations + Up: user + Previous: 25. Vibrational frequencies +   Contents +
+
+ + +Subsections + + + +
+ +

+26. DPLOT +

+
+  DPLOT
+    ...
+  END
+
+ +

+This directive is used to obtain the plots of various types of electron +densities (or orbitals) of the molecule. The electron density is calculated +on a specified set of grid points using the molecular orbitals +from SCF or DFT calculation. The output file is either in +MSI Insight II +contour format +(default) + or in the +Gaussian Cube +format. DPLOT is not executed until the ``task dplot'' directive is given. +Different sub-directives are described below. + +

+ +

+26.1 GAUSSIAN -- Gaussian Cube format +

+ +

+

+  GAUSSIAN
+
+ +

+A outputfile is generate in Gaussian Cube format. +You can visualize this file using gOpenMol +(after converting the Gaussian Cube file with +gcube2plt), + +Molden +or +Molekel. + +

+ +

+26.2 TITLE -- Title directive +

+ +

+

+  TITLE <string Title default Unknown Title>
+
+ +

+This sub-directive specifies a title line for the generated +input to the Insight program or for the Gaussian cube +file. Only one line is allowed. + +

+ +

+26.3 LIMITXYZ -- Plot limits +

+ +

+

+  LIMITXYZ [units <string Units default angstroms>]
+  <real X_From> <real X_To> <integer No_Of_Spacings_X>
+  <real Y_From> <real Y_To> <integer No_Of_Spacings_Y>
+  <real Z_From> <real Z_To> <integer No_Of_Spacings_Z>
+
+ +

+This sub-directive specifies the limits of the cell to be plotted. +The grid is generated using No_Of_Spacings + 1 points +along each direction. The known names for Units are +angstroms, au and bohr. + +

+ +

+26.4 SPIN -- Density to be plotted +

+ +

+

+  SPIN <string Spin default total>
+
+ +

+This sub-directive specifies, what kind of density is to be computed. The +known names for Spin are total, alpha, beta +and spindens, the last being computed as the difference between +$\alpha$ and $\beta$ electron densities. + +

+ +

+26.5 OUTPUT -- Filename +

+ +

+

+  OUTPUT <string File_Name default dplot>
+
+ +

+This sub-directive specifies the name of the generated input to the +Insight program or the generated Gaussian cube file. +The name OUTPUT is reserved for the +standard NWChem output. + +

+ +

+26.6 VECTORS -- MO vector file name +

+ +

+

+  VECTORS <string File_Name default movecs> [<string File_Name2>]
+
+ +

+This sub-directive specifies the name of the molecular orbital file. +If the second file is optionally given the density is computed as the +difference between the corresponding electron densities. The vector +files have to match. + +

+ +

+26.7 WHERE -- Density evaluation +

+ +

+

+  WHERE <string Where default grid>
+
+ +

+This sub-directive specifies where the density is to be computed. +The known names for Where are grid (the calculation of +the density is performed on the set of a grid points specified by the +sub-directive LimitXYZ and the file specified by the sub-directive +Output is generated), nuclei (the density is computed at +the position of the nuclei and written to the NWChem output) and +g+n (both). + +

+ +

+26.8 ORBITAL -- Orbital sub-space +

+ +

+

+  ORBITALS [<string Option default density>]
+  <integer No_Of_Orbitals>
+  <integer Orb_No_1 Orb_No_2 ...>
+
+ +

+This sub-directive specifies the subset of the orbital space for the +calculation of the electron density. The density is computed using the +occupation numbers from the orbital file modified according to the +Spin directive. If the contours of the orbitals are to be plotted +Option should be set to view. Note, that in this case +No_Of_Orbitals should be set to 1 and sub-directive +Where is automatically set to grid. Also specification +of two orbital files conflicts with the view option. +$\alpha$ orbitals are always plotted unless Spin is set to +beta. + +

+ +

+26.9 Examples +

+ +

+ +

+Charge Density +

+ +

+Example of charge density plot (with Gaussian Cube output): +

+start n2
+geometry
+  n  0 0   0.53879155
+  n  0 0  -0.53879155
+end
+basis;  n library cc-pvdz;end
+scf
+vectors  output n2.movecs
+end
+dplot
+  TITLE HOMO
+  vectors n2.movecs
+   LimitXYZ
+ -3.0 3.0 10  
+-3.0 3.0 10 
+-3.0  3.0  10
+  spin total
+  gaussian
+  output lumo.cube
+end
+task scf     
+task dplot
+
+ +

+ +

+Molecular Orbital +

+ +

+Example of orbital plot (with Insight II contour output): +

+start n2
+geometry
+  n  0 0   0.53879155
+  n  0 0  -0.53879155
+end
+basis;  n library cc-pvdz;end
+scf
+vectors  output n2.movecs
+end
+dplot
+  TITLE HOMO
+  vectors n2.movecs
+   LimitXYZ
+ -3.0 3.0 10  
+-3.0 3.0 10 
+-3.0  3.0  10
+  spin total
+  orbitals view; 1; 7
+  output homo.grd
+end
+task scf     
+task dplot
+
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 27. Electron Transfer Calculations + Up: user + Previous: 25. Vibrational frequencies +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node29.html b/web/doc/user.4.6/node29.html new file mode 100644 index 0000000000..f720959a7b --- /dev/null +++ b/web/doc/user.4.6/node29.html @@ -0,0 +1,426 @@ + + + + + +27. Electron Transfer Calculations with ET + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 28. Properties + Up: user + Previous: 26. DPLOT +   Contents +
+
+ + +Subsections + + + +
+ +

+27. Electron Transfer Calculations with ET +

+ +

+The NWChem electron transfer (ET) module calculates the electronic coupling energy (also called the electron transfer +matrix element) between ET reactant and product states. The electronic coupling ($V_{RP}$), activation energy ($\Delta G^{*}$), +and nuclear reorganization energy ($\lambda$) are all components of the electron transfer rate defined by Marcus' theory, which +also depends on the temperature (reference 1): + +

+
+

+ + + + + +
\begin{displaymath}
+{k_{ET}}=
+\frac{2\pi}{\hbar}
+V_{RP}^{2}
+\frac{1}{\sqrt{4\pi ...
+...da k_{B}T}}
+\exp \left( \frac{- \Delta G^{*}}{k_{B} T} \right)
+\end{displaymath} +(27.1)
+

+ +

+The ET module utilizes the method of Corresponding Orbital Transformation to calculate $V_{RP}$. +The only input required are the names +of the files containing the open-shell (UHF or ODFT) MO vectors for the ET reactant and product states ($R$ and $P$). + +

+Although open-shell DFT orbitals can be used as input, the current implementation of the ET module uses a Hartree-Fock +formalism (ref.3). Therefore, for consistency, UHF orbitals should be used for the calculation of $V_{RP}$, although this +is not required. + +

+The basis set used in the calculation of $V_{RP}$ must be the same as the basis set used to calculate the MO vectors of +$R$ and $P$. The magnitude of $V_{RP}$ depends on the amount of overlap between $R$ and $P$, +which is important to consider when choosing the basis set. Diffuse functions may be +necessary to fill in the overlap, particularly when the ET distance is long. + +

+The MO's of $R$ and $P$ must correspond to localized states. for instance, in the reaction $A^{ -}$ $B$ $\rightarrow $ $A$ $B^{ -}$ +the transferring electron is localized on A in the reactant state and is localized on B in the product state. +To verify the localization of the electron in the calculation of the vectors, carefully examine the Mulliken population +analysis. In order to determine which orbitals are involved in the electron transfer, use the print keyword "mulliken ao" +which prints the Mulliken population of each basis function. + +

+An effective core potential (ECP) basis can be used to replace core electrons. However, there is one caveat: the orbitals +involved in electron transfer must not be replaced with ECP's. Since the ET orbitals are valence orbitals, this is not usually +a problem, but the user should use ECP's with care. + +

+Suggested references are listed below. The first two references gives a good description +of Marcus' two-state ET model, and the appendix of the third reference details the method used +in the ET module. + +

+ +

    +
  1. R.A. Marcus, N. Sutin, Biochimica Biophysica Acta 35, 437, (1985). +
  2. +
  3. J.R. Bolton, N. Mataga, and G. McLendon in ``Electron Transfer in Inorganic, Organic and Biological Systems" +(American Chemical Society, Washington, D.C., 1991) +
  4. +
  5. A. Farazdel, M. Dupuis, E. Clementi, and A. Aviram, +J. Am. Chem. Soc., 112, 4206 (1990). +
  6. +
+ +

+ +

+ +
+27.1 VECTORS -- input of MO vectors for ET reactant and product states +

+ +

+

+  VECTORS [reactants] <string reactants_filename>
+  VECTORS [products ] <string products_filename>
+
+ +

+In the VECTORS directive the user specifies the source +of the molecular orbital vectors for the ET reactant and product states. +This is required input, as no default filename will be set by the program. +In fact, this is the only required input in the ET module, although there are +other optional keywords described below. + +

+ +

+ +
+27.2 FOCK/NOFOCK -- method for calculating the two-electron contribution to $V_{RP}$ +

+ +

+

+   <string (FOCK||NOFOCK) default FOCK>
+
+ +

+This directive enables/disables the use of the NWChem's Fock matrix +routine in the calculation of the two-electron portion of the ET Hamiltonian. +Since the Fock matrix routine has been optimized for speed, accuracy and parallel performance, +it is the most efficient choice. + +

+Alternatively, the user can calculate the two-electron contribution to the ET Hamiltonian +with another subroutine which may be more accurate for systems with a small +number of basis functions, although it is slower. + +

+ +

+ +
+27.3 TOL2E -- integral screening threshold +

+ +

+

+  TOL2E <real tol2e default max(10e-12,min(10e-7, S(RP)*10e-7 )>
+
+ +

+The variable tol2e is used in determining the integral +screening threshold for the evaluation of the two-electron contribution to the Hamiltonian +between the electron transfer reactant and product states. +As a default, tol2e is set depending on the magnitude +of the overlap between the ET reactant and product states ($S_{RP}$), and is not less than 1.0d-12 +or greater than 1.0d-7. + +

+The input to specify the threshold explicitly within the ET +directive is, for example: + +

+

+  tol2e 1e-9
+
+ +

+ +

+27.4 Example +

+ +

+The following example is for a simple electron transfer reaction, $He_{}$ $\rightarrow $ $He^{ +}$. +The ET calculation is easy to execute, but it is crucial that ET reactant and product +wavefunctions reflect localized states. This can be accomplished +using either a fragment guess (shown in the example, see 10.5.1), or a charged atomic +density guess (see 10.5.2). +For self-exchange ET reactions such as this one, you can use the +REORDER keyword to move the electron from the first helium to the second (see 10.5). + +

+Example input : +

+#ET reactants:
+charge 1
+scf 
+  doublet; uhf; vectors input fragment HeP.mo He.mo output HeA.mo
+# HeP.mo are the vectors for He(+), 
+# He.mo  are the vectors for neutral He.
+end 
+task scf
+
+#ET products:
+charge 1
+scf 
+  doublet; uhf; vectors input HeA.mo reorder 2 1 output HeB.mo
+end 
+task scf
+
+et
+ vectors reactants HeA.mo 
+ vectors products HeB.mo
+end
+task scf et
+
+ +

+Here is what the output looks like for this example: +

+                           Electron Transfer Calculation
+                           -----------------------------
+
+ MO vectors for reactants: HeA.mo
+ MO vectors for products : HeB.mo
+
+ Electronic energy of reactants     H(RR)      -5.3402392824
+ Electronic energy of products      H(PP)      -5.3402392824
+
+ Reactants/Products overlap         S(RP)      -0.0006033839
+
+ Reactants/Products interaction energy:
+ -------------------------------------
+ One-electron contribution         H1(RP)       0.0040314092
+
+ Beginning calculation of 2e contribution
+ Two-electron integral screening (tol2e) : 6.03E-11
+
+ Two-electron contribution         H2(RP)      -0.0007837138
+ Total interaction energy           H(RP)       0.0032476955
+
+ Electron Transfer Coupling Energy |V(RP)|      0.0000254810
+                                                       5.592 cm-1
+                                                    0.000693 eV
+                                                       0.016 kcal/mol
+
+ +

+The overlap between the ET reactant and product states ($S_{RP}$) is small, +so the magnitude of the coupling between the states is also small. +If the fragment guess +or charged atomic density guess were not used, the Mulliken spin population would be 0.5 on both He atoms, the overlap between +the ET reactant and product states would be 100 % and an infinite +$V_{RP}$ would result. + +

+


+ + +next + +up + +previous + +contents +
+ Next: 28. Properties + Up: user + Previous: 26. DPLOT +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node3.html b/web/doc/user.4.6/node3.html new file mode 100644 index 0000000000..e93a540820 --- /dev/null +++ b/web/doc/user.4.6/node3.html @@ -0,0 +1,271 @@ + + + + + +1. Introduction + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 2. Getting Started + Up: user + Previous: Contents +   Contents +
+
+ + +Subsections + + + +
+ +

+1. Introduction +

+ +

+NWChem is a computational chemistry package designed to run on +high-performance parallel supercomputers. +Code capabilities include the calculation of molecular electronic +energies and analytic gradients using Hartree-Fock self-consistent field (SCF) theory, Gaussian +density function theory (DFT), and second-order perturbation theory. +For all methods, geometry optimization is available to determine energy minima and transition states. +Classical molecular dynamics capabilities +provide for the simulation of macromolecules and solutions, including +the computation of free energies using a variety of force fields. + +

+NWChem is scalable, both in its ability to treat large problems +efficiently, and in its utilization of available parallel computing +resources. The code uses the parallel programming tools TCGMSG and +the Global Array (GA) library developed at PNNL for the High Performance +Computing and Communication (HPCC) grand-challenge +software program and the Environmental Molecular Sciences Laboratory +(EMSL) Project. NWChem has been optimized to perform calculations on +large molecules using large parallel computers, and it is unique in +this regard. + +

+This document is intended as an aid to chemists using the code for +their own applications. Users are not expected to have a detailed +understanding of the code internals, but some familiarity with the +overall structure of the code, how it handles information, and the +nature of the algorithms it contains will generally be helpful. The +following sections describe the structure of the input file, and give +a brief overview of the code architecture. All input directives +recognized by the code are described in detail, with options, +defaults, and recommended usages, where applicable. The appendices +present additional information on the molecular geometry and basis +function libraries included in the code. + +

+ +

+1.1 Citation +

+ +

+The EMSL Software Agreement stipulates that the use of NWChem will be +acknowledged in any publications which use results obtained with +NWChem. The acknowledgment should be of the form: +

+

NWChem Version 4.6, as developed and distributed by + Pacific Northwest National Laboratory, P. O. Box 999, Richland, + Washington 99352 USA, and funded by the U. S. Department of Energy, + was used to obtain some of these results. + +
+ +

+The words ``A modified version of'' should be added at the beginning, +if appropriate. Note: Your EMSL Software Agreement contains the +complete specification of the required acknowledgment. + +

+Please use the following citation when publishing results obtained +with NWChem: +

+Straatsma, T.P.; Aprà, E.; Windus, T.L.; Bylaska, E.J.; de Jong, W.; +Hirata, S.; Valiev, M.; Hackler, M.; Pollack, L.; Harrison, R.; +Dupuis, M.; Smith, D.M.A; Nieplocha, J.; Tipparaju V.; Krishnan, M.; +Auer, A.A.; Brown, E.; Cisneros, G.; Fann, G.; Früchtl, H.; Garza, J.; +Hirao, K.; Kendall, R.; Nichols, J.; Tsemekhman, K.; Wolinski, K.; +Anchell, J.; Bernholdt, D.; Borowski, P.; Clark, T.; Clerc, D.; +Dachsel, H.; Deegan, M.; Dyall, K.; Elwood, D.; Glendening, E.; +Gutowski, M.; Hess, A.; Jaffe, J.; Johnson, B.; Ju, J.; Kobayashi, R.; +Kutteh, R.; Lin, Z.; Littlefield, R.; Long, X.; Meng, B.; Nakajima, +T.; Niu, S.; Rosing, M.; Sandrone, G.; Stave, M.; Taylor, H.; Thomas, +G.; van Lenthe, J.; Wong, A.; Zhang, Z.; NWChem, A Computational +Chemistry Package for Parallel Computers, Version 4.6 (2004), +Pacific Northwest National Laboratory, Richland, Washington +99352-0999, USA. +
High Performance Computational Chemistry: an Overview of NWChem a +Distributed Parallel Application, Kendall, R.A.; Aprà, E.; +Bernholdt, D.E.; Bylaska, E.J.; Dupuis, M.; Fann, G.I.; Harrison, +R.J.; Ju, J.; Nichols, J.A.; Nieplocha, J.; Straatsma, T.P.; Windus, +T.L.; Wong, A.T. Computer Phys. Comm., 2000, 128, 260-283 . + +
+ +

+If you use the DIRDYVTST portion of NWChem, please also use the additional +citation: +

+DIRDYVTST, Yao-Yuan Chuang and Donald G. Truhlar, + Department of Chemistry and Super Computer Institute, + University of Minnesota; Ricky A. Kendall,Scalable Computing Laboratory, + Ames Laboratory and Iowa State University; Bruce C. Garrett and Theresa L. + Windus, Environmental Molecular Sciences Laboratory, Pacific Northwest + Laboratory. + +
+ +

+ +

+1.2 User Feedback +

+ +

+This software comes without warranty or guarantee of support, +but we do try to meet the needs of our user community. Please send bug +reports, requests for enhancement, or other comments to + +

+

+ nwchem-users@emsl.pnl.gov
+
+ +

+When reporting problems, please provide as much information as possible, +including: + +

+ +

    +
  • detailed description of problem +
  • +
  • site name
  • +
  • platform you are running on, including + +
      +
    • vendor name +
    • +
    • computer model +
    • +
    • operating system +
    • +
    • compiler +
    • +
    +
  • +
  • input file +
  • +
  • output file +
  • +
+ +

+Users can also subscribe to the nwchem-users@emsl.pnl.gov +electronic mailing list itself. +This is intended as a general forum through which code +users can contact one another and the developers, to share experience +with the code and discuss problems. Announcements of new releases and +bug fixes will also be made to this list. + +

+To subscribe to the user list, send a message to +

+  majordomo@emsl.pnl.gov
+
+The body of the message must contain the line +
+  subscribe nwchem-users
+
+ +

+The automated list manager is capable of recognizing a number of +commands, including ; ``subscribe'', ``unsubscribe'', ``get'', ``index'', +``which'', ``who'', ``info'' and ``lists''. The command ``end'' halts +processing of commands. It will provide some help if the message +includes the line help in the body. + +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 2. Getting Started + Up: user + Previous: Contents +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node30.html b/web/doc/user.4.6/node30.html new file mode 100644 index 0000000000..465f0ae30d --- /dev/null +++ b/web/doc/user.4.6/node30.html @@ -0,0 +1,250 @@ + + + + + +28. Properties + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 29. Electrostatic potentials + Up: user + Previous: 27. Electron Transfer Calculations +   Contents +
+
+ + +Subsections + + + +
+ +

+28. Properties +

+
+  PROPERTY
+    [property name]
+    [CENTER ((com || coc || origin || arb <real x y z>) default coc)]
+    [VECTORS ...]
+  END
+
+ +

+Calculation of properties is accomplished with TASK PROPERTY +after the completion of an energy (or MP2 gradient) calculation. The +following properties can be computed for all wavefunctions that produce +orbitals, including Hartree-Fock (closed-shell RHF, open-shell ROHF, and +open-shell UHF), DFT (closed-shell and open-shell spin unrestricted), +MCSCF (complete active space), and MP2 (closed-shell RHF and open-shell +UHF). + +

+ +

    +
  • natural bond analysis +
  • +
  • dipole moment +
  • +
  • quadrupole moment +
  • +
  • octupole moment +
  • +
  • Mulliken population analysis and bond order analysis +
  • +
  • electrostatic potential (diamagnetic shielding) at nuclei +
  • +
  • electric field at nuclei +
  • +
  • electric field gradient at nuclei +
  • +
  • electron and spin density at nuclei +
  • +
  • NMR chemical shifts (GIAO method) only for closed-shell RHF +
  • +
+ +

+The default molecular orbital file $file_prefix$.movecs is used +unless a vectors directive (Section 10.5) is provided. It is +therefore only necessary to include a vectors directive if the MO vectors +to be analyzed are not coming from the default file, e.g., if they have +been previously redirected, or if MP2 natural orbitals (file extension +".mp2nos") are being anaylzed. The MP2 natural orbitals MUST be +used if the user wants MP2 properties. + +

+ +

+28.1 Subdirectives +

+ +

+Note that presenting any property input causes all previous property input +to be ``forgotten'', unlike other NWChem modules. + +

+Each property can be requested by means of a subdirective among the +subdirectives provided : + +

+ +

    +
  • NBOFILE +
  • +
  • DIPOLE +
  • +
  • QUADRUPOLE +
  • +
  • OCTUPOLE +
  • +
  • MULLIKEN +
  • +
  • ESP +
  • +
  • EFIELD +
  • +
  • EFIELDGRAD +
  • +
  • ELECTRONDENSITY +
  • +
  • GIAO +
  • +
  • ALL +
  • +
+ +

+The ``ALL'' keyword generates all currently available properties. + +

+The request NBOFILE does not execute the Natural Bond Analysis +code, but simply creates an input file to be used as input to the +stand-alone NBO code. To execute the NBO analysis directly, see Section +37.1. All other properties are calculated upon +request. + +

+An additional subdirective is provided to specify the origin of the +molecular orbitals used in the calculation of the molecular +properties. This is the `VECTORS' subdirective, also used in the +SCF and DFT tasks. For a full description of this subdirective +the user is refered to the description found in the SCF description. +By default, the input file used for the calculation of the properties +has the .movecs name extension. + +

+The user also has the option to choose the center of expansion for +the dipole, quadrupole, and octupole calculations. + +

+

+    [CENTER ((com || coc || origin || arb <real x y z>) default coc)]
+
+ +

+com is the center of mass, coc is the center of charge, origin is +(0.0, 0.0, 0.0) and arb is any arbitrary point which must be accompanied +by the coordinated to be used. Currently the x, y, and z coordinates +must be given in the same units as UNITS in GEOMETRY (See Section +6.1). + +

+ +

+ +
+28.1.1 Nbofile +

+ +

+Following the successful completion of an electronic structure +calculation, a Natural Bond Orbital (NBO) analysis may be carried out +in the following way. On restart specify the TASK as PROPERTY and +supply the sub-directive NBOFILE to the PROPERTY directive. NWChem +will query the rtdb and construct an ASCII file, +<file_prefix>.gen, that may be used as input to the stand alone +version of the NBO program, gennbo. <file_prefix> is equal to +string following the RESTART directive. The input deck may be edited +to provide additional options to the NBO calculation, (see the NBO +user's manual for details.) The other option in to directly run the NBO +analysis (See Section 37.1 for more information). + +

+


+ + +next + +up + +previous + +contents +
+ Next: 29. Electrostatic potentials + Up: user + Previous: 27. Electron Transfer Calculations +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node31.html b/web/doc/user.4.6/node31.html new file mode 100644 index 0000000000..bd6a9c597a --- /dev/null +++ b/web/doc/user.4.6/node31.html @@ -0,0 +1,291 @@ + + + + + +29. Electrostatic potentials + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 30. Prepare + Up: user + Previous: 28. Properties +   Contents +
+
+ + +Subsections + + + +
+ +

+29. Electrostatic potentials +

+ +

+The NWChem Electrostatic Potential (ESP) module derives partial atomic +charges that fit the quantum mechanical electrostatic potential on selected +grid points. + +

+The ESP module is specified by the NWChem task directive +

+task esp
+
+ +

+The input for the module is taken from the ESP input block +

+ESP
+  ...
+END
+
+ +

+ +

+29.1 Grid specification +

+The grid points for which the quantum mechanical electrostatic potential is +evaluated and used in the fitting procedure of the partial atomic charges +all lie outside the van der Waals radius of the atoms and within a cutoff +distance from the atomic centers. The following input parameters determine +the selection of grid points. + +
    +
  • If a grid file is found, the grid will be read from that file. If no grid +file is found, or the keyword +
    +  recalculate
    +
    +is given, the grid and the electrostatic potential is recalculated. +
  • +
  • The extent of the grid is determined by +
    +  range <real rcut>
    +
    +where rcut is the maximum distance in $nm$ between a grid point and +any of the atomic centers. When omitted, a default value for rcut of +0.3 $nm$ is used. +
  • +
  • The grid spacing is specified by +
    +  spacing <real spac>
    +
    +where spac is the grid spacing in $nm$ for the regularly spaced +grid points. If not specified, a default spacing of 0.05 $nm$ is used. +
  • +
  • The van der Waals radius of an element can be specified by +
    +  radius <integer iatnum> <real atrad>
    +
    +where iatnum is the atomic number for which a van der Waals radius +of atrad in $nm$ will be used in the grid point determination. +Default values will be used for atoms not specified. +
  • +
  • The probe radius in nm determining the envelope around the molecule is +specified by +
    +  probe <real probe default 0.07>
    +
    +
  • +
  • The distance between atomic center and probe center can be multiplied +by a constant factor specified by +
    +  factor <real factor default 1.0>
    +
    +All grid points are discarded that lie within a distance +factor*(radius(i)+probe) from any atom $i$. +
  • +
  • Schwarz screening is applied using +
    +  screen [<real scrtol default 1.0D-5>]
    +
    +
  • +
+ +

+ +

+29.2 Constraints +

+Additional constraints to the partial atomic charges can be imposed during +the fitting procedure. + +
    +
  • The net charge of a subset of atoms can be constrained using +
    +  constrain <real charge> {<integer iatom>}
    +
    +where charge is the net charge of the set of atoms {iatom}. +A negative atom number iatom can be used to specify that the +partial charge of that atom is substracted in the sum for the set. +
  • +
  • The net charge of a sequence of atoms can be constrained using +
    +  constrain <real charge> <integer iatom> through <integer jatom>
    +
    +where charge is the net charge of the set of atoms {[iatom:jatom]}. +
  • +
  • A group of atoms can be constrained to have the same charge with +
    +  constrain equal {<integer iatom>}
    +
    +
  • +
  • The individual charge of a group of atoms can be constrained to be equal to +those of a second group of atoms with +
    +  constrain group <integer iatom> <integer jatom> to <integer katom> <integer latom>
    +
    +resulting in the same charge for atoms iatom and katom, for +atoms iatom+1 and katom+1, ... for atoms jatom and latom. +
  • +
  • A special constraint +
    +  constrain xhn <integer iatom> {<integer jatom>}
    +
    +can be used to constrain the set {iatom,{jatom}} to zero charge, and +constrain all atoms in {jatom} to have the same charge. This can be used, +for example, to restrain a methyl group to zero charge, and have all hydrogen +carrying identical charges. +
  • +
+ +

+ +

+29.3 Restraints +

+Restraints can be applied to each partial charge using the RESP charge +fitting procedure. + +
    +
  • The directive for charge restraining is +
    +  restrain [hfree] (harmonic [<real scale>] | \
    +   hyperbolic [<real scale> [<real tight>]]  \
    +    [maxiter <integer maxit>]  [tolerance <real toler>])
    +
    +where hfree can be specified to exclude hydrogen atoms from the +restaining procecure. Variable scale is the strength of the +restraint potential, with a default of $0.005 au$ for the harmonic +restraint and a default value of $0.001 au$ for the hyperbolic restraint. +For the hyperbolic restraints the tightness tight can be specified +to change the default value of $0.1 e$. The iteration count that needs to +be carried out for the hyperbolic restraint is determined by the +maximum number of allowed iterations maxiter, with a default value +of 25, and the tolerance in the convergence of the partial charges +toler, with a default of $0.001 e$. +
  • +
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 30. Prepare + Up: user + Previous: 28. Properties +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node32.html b/web/doc/user.4.6/node32.html new file mode 100644 index 0000000000..bc70128a13 --- /dev/null +++ b/web/doc/user.4.6/node32.html @@ -0,0 +1,1094 @@ + + + + + +30. Prepare + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 31. Molecular dynamics + Up: user + Previous: 29. Electrostatic potentials +   Contents +
+
+ + +Subsections + + + +
+ +

+30. Prepare +

+ + +

+The prepare module is used to set up the necessary files for a molecular +dynamics simulation with NWChem. User supplied coordinates can be used to +generate topology and restart files. The topology file contains all static +information about a molecular system, such as lists of atoms, bonded +interactions and force field parameters. The restart file contains all +dynamic information about a molecular system, such as coordinates, velocities +and properties. + +

+Without any input, the prepare module checks the existence of a topology +and restart file for the molecular systems. If these files exist, the module +returns to the main task level without action. The module will generate these +files when they do not exist. Without any input to the module, the generated +system will be for a non-solvated isolated solute system. + +

+To update existing files, including solvation, the module requires input +directives read from an input deck, + +

+

+prepare
+ ...
+end
+
+ +

+The prepare module performs three sub-tasks: +

+
*
+
sequence generation +
+This sub-task analyzes the supplied coordinates from a PDB-formatted file +or from the input geometry, and generates a sequence file, containing the +description of the system in terms of basic building blocks found as +fragment or segment files in the database directories for the force field +used. If these files do not exist, they are generated based on the supplied +coordinates. This process constists of generating a fragment file with the +list of atoms with their force field dependent atom types, partial atomic +charges calculated from a Hartree Fock calculation for the fragment, followed +by a restrained electrostatic potential fit, and a connectivity list. From +the information on this fragment file the lists of all bonded interactions +are generated, and the complete lists are written to a segment file. +
+
*
+
topology generation +
+Based on the generated or user-supplied sequence file and the force field +specific segment database files, this sub-task compiles the lists of atoms, +bonded interactions, excluded pairs, and substitutes the force field +parameters. Special commands may be given to specify interaction parameters +that will be changing in a free energy evaluation. +
+
*
+
restart generation +
+Using the user supplied coordinates and the topology file for the chemical +system, this sub-task generates a restart file for the system with coordinates, +velocities and other dynamic information. This step may include solvation +of the chemical system and specifying periodic boundary conditions. +
+
+ +

+Files involved in the preparation phase exist in the following hierarchy: +

+
*
+
standards +
+The standard database files contain the original force field information. +These files are to reside in a directory that is specified in the file +$HOME/.nwchemrc. There will be such a directory for each supported force +field. These directories contain fragment files (with extension frg), +segment files (with extension sgm) and a parameter file (with the name +of the force field and with extension par). +
+
*
+
extensions +
+These database files contain generally accepted extensions to the original +force field and are to reside in a separate directory that is specified in +the file $HOME/.nwchemrc. There will be such a directory for each supported +force field. These directories contain fragment files (with extension frg), +segment files (with extension sgm) and a parameter file (with the name +of the force field and with extension par). +
+
*
+
contributed +
+These database files contain contributed definitions, also required for +the quality assurance tests and are to reside in a separate directory +that is specified in the file $HOME/.nwchemrc. +There will be such a directory for each supported +force field. These directories contain fragment files (with extension frg), +segment files (with extension sgm) and a parameter file (with the name +of the force field and with extension par). +
+
*
+
user preferences +
+These database files contain user preferred extensions to the original +force field and are to reside in a separate directory that is specified in +the file $HOME/.nwchemrc. Separate directories of this type should be +defined for each supported force field. +This directory may contain fragment files (with extension frg), +segment files (with extension sgm) and a parameter file (with the name +of the force field and with extension par). +
+
*
+
temporary files +
+Temporary database files contain user preferred extensions to the original +force field and are to reside in a separate directory that is specified in +the file $HOME/.nwchemrc. There may be such a directory for each supported +force field. This directory may contain fragment files (with extension frg), +segment files (with extension sgm) and a parameter file (with the name +of the force field and with extension par). +
+
*
+
current files +
+Database files that contain user preferred extensions to the original +force field and are to reside in a separate directory that is specified in +the file $HOME/.nwchemrc. Typically this will be the current working +directory, although it may be defined as a specific directory. +This directory may contain fragment files (with extension frg), +segment files (with extension sgm) and a parameter file (with the name +of the force field and with extension par). If not specified, +files will be taken from the current directory. +
+
+ +

+Data is taken from the database files searched in the above order. If data +is specified more than once, the last found values are used. For example, +if some standard segment is redefined in a temporary file, the latter one +will be used. This allows the user to redefine standards or extensions +without having to modify those database files, which may reside in a +generally available, non-modifyable directory. If a filename is specified +rather than a directory, the filename indicates the parameter file +definition. All other files (frg and sgm files) will be take from the +specified directory. + +

+The most common problems with the prepare module are +

+
 
+
The format of the pdb file does not conform to the pdb standard. In +particular, atom names need to correspond with definitions in the +fragment and segment database files, and should adhere to IUPAC +recommendations as adopted by the pdb standard. If this problem +occurs, the pdb file will need to be corrected. +
+
 
+
Non-standard segments may contain atoms that could not be atom typed +with the existing typing rules in the force field parameter files. +When this happens, additional typing rules can be included in the +parameter file, or the fragment file may be manually typed. +
+
 
+
Parameters for atom types or bonded interactions do not exist in +the force field. When this happens, additional parameters may be +defined in the parameter files, or the segment file may be edited +to include explicit parameters. +
+
+ +

+ +

+30.1 Default database directories +

+ +

+The file $HOME/.nwchemrc may contain the following entries that determine +which files are used by the prepare module. + +

+

+ffield <string ffname>
+
+ +

+This entry specifies the default force field. Database files supplied with +NWChem currently support values for ffname of amber, referring +to AMBER95, and charmm, referring to the academic CHARMM22 force field. + +

+

+<string ffname>_(s | x | q | u | t | c) <string ffdir>[<string parfile>]
+
+ +

+Entries of this type specify the directory ffdir in which force field +database files can be found. Optionally the parameterfile in this directory +may be specified as parfile. +The prepare module will only use files in directories +specified here. One exception is that files in the current work directory +will be used if no directory with current files is specified. + +

+

+<string solvnam> <string solvfil>
+
+ +

+This entry may be used to identify a pure solvent restart file solvfil +by a name solvnam + +

+An example file $HOME/.nwchemrc is: + +

+

+ffield amber
+amber_s /msrc/proj/nwchem/share/amber/amber_s/amber99.par
+amber_x /msrc/proj/nwchem/share/amber/amber_x/
+amber_u /usr/people/username/data/amber/amber_u/
+spce /msrc/proj/nwchem/share/solvents/spce.rst
+charmm_s /msrc/proj/nwchem/share/charmm/charmm_s/
+charmm_x /msrc/proj/nwchem/share/charmm/charmm_x/
+
+ +

+ +

+30.2 System name and coordinate source +

+ +

+

+system <string sys_calc>
+
+ +

+The system name can be explicitly specified for the prepare module. +If not specified, the system name will be taken from a specification +in a previous md input block, or derived from the run time database +name. + +

+

+source ( pdb | rtdb )
+
+ +

+The source of the coordinates can be explicitly specified to be from +a PDB formatted file sys.pdb, or from a geometry object in the run +time database. If not specified, a pdb file will be used when it exists +in the current directory or the rtdb geometry otherwise. + +

+

+model <integer modpdb default 0>
+
+ +

+If a PDB formatted source file contains different MODELs, the model +keyword can be used to specify which MODEL will be used to generate the +topology and restart file. If not specified, the first MODEL found on the +PDB file will be read. + +

+

+altloc <character locpdb default ' '>
+
+ +

+The altloc keyword may be used to specify the use of alternate +location coordinates on a PDB file. + +

+

+chain <character chnpdb default ' '>
+
+ +

+The chain keyword may be used to specify the chain identifier +for coordinates on a PDB file. + +

+

+histidine ( hid | hie | hip )
+
+specifies the default protonation state of histidine. + +

+

+sscyx
+
+ +

+Keyword sscyx may be used to rename cysteine residues that form +sulphur bridges to CYX. + +

+

+hbuild
+
+ +

+Keyword hbuild may be used to add hydrogen atoms to the +unknown segments of the structure found on the pdb file. + +

+ +

+30.3 Sequence file generation +

+ +

+If no existing sequence file is present in the current directory, +or if the new_seq keyword was specified in the prepare +input deck, a new sequence file is generated from information +from the pdb file, and the following input directives. + +

+

+maxscf <integer maxscf default 20>
+
+ +

+Variable maxscf specifies the maximum number of atoms in a segment for +which partial atomic charges will be determined from an SCF calculation +followed by RESP charge fitting. For larger segments a crude partial +charge guestimation will be done. + +

+

+qscale <real qscale default 1.0>
+
+ +

+Variable qscale specifies the factor with which SCF/RESP determined +charges will be multiplied. + +

+

+modify sequence { <integer sgmnum>:<string sgmnam> }
+
+ +

+This command specifies that segment sgmnam should be used +for segment with number sgmnum. This command can be used +to specify a particular protonation state. For example, the +following command specifies that residue 114 is a hystidine +protonated at the N$_\epsilon$ site and residue 202 is a hystidine +protonated at the N$_\delta$ site: + +

+

+modify sequence 114:HIE 202:HID
+
+ +

+Links between atoms can be enforced with + +

+

+link <string atomname> <string atomname>
+
+ +

+For example, to link atom SG in segment 20 with atom FE +in segment 55, use: + +

+

+link 20:_SG 55:FE
+
+ +

+The format of the sequence file is given in Table 34.8. +In addition to the list of segments this file also includes links +between non-standard segments or other non-standard links. +These links are generated based on distances found between +atoms on the pdb file. When atoms are involved in such non-standard +links that have not been identified in the fragment of segment +files as a non-chain link atom, the prepare module will ignore +these links and report them as skipped. If one or more of these links +are required, the user has to include them with explicit link +directives in the sequence file, making them forced links. +Alternatively, these links can be made forced-links by changing +link into LINK in the sequence file. + +

+

+fraction { <integer imol> }
+
+ +

+Directive fraction can be used to separate solute molecules +into fractions for which energies will be separately reported +during molecular dynamics simulations. The listed molecules will be +the last molecule in a fraction. Up to 10 molecules may be +specified in this directive. + +

+

+counter <integer num> <string ion>
+
+ +

+Directive counter adds num counter ions of type +ion to the sequence file. Up to 10 counter +directives may appear in the input block. + +

+

+counter <real factor>
+
+ +

+This directive scales the counter ion charge by the specified factor +in the determination of counter ions positions. + +

+ +

+30.4 Topology file generation +

+ +

+

+new_top [ new_seq ]
+
+ +

+Keyword new_top is used to force the generation of a new topology +file. An existing topology file for the system in the current directory +will be overwritten. If keyword new_seq is also specified, an +existing sequence file will also be overwritten with a newly generated +file. + +

+

+amber | charmm
+
+ +

+The prepare module generates force field specific fragment, segment and +topology files. The force field may be explicitly specified in the prepare +input block by specifying its name. +Currently AMBER and CHARMM are the supported force fields. +A default force field may be specified in the file $HOME/.nwchemrc. + +

+

+standard <string dir_s>[<string par_s>]
+extensions <string dir_x>[<string par_x>]
+contributed <string dir_q>[<string par_q>]
+user <string dir_u>[<string par_u>]
+temporary <string dir_t>[<string par_t>]
+current <string dir_c>[<string par_c>]
+
+ +

+The user can explicitly specify the directories where force field +specific databases can be found. These include force field standards, +extensions, quality assurance tests, user preferences, temporary , and +current database files. +
+Defaults for the directories where database files reside may be specified +in the file $HOME/.nwchemrc for each of the supported force fields. +Fragment, segment and sequence files generated by the prepare module are +written in the temporary directory. When not specified, the current +directory will be used. +Topology and restart files are always created in the current directory. + +

+The following directives control the modifications of a +topology file. These directives are executed in the order in which +they appear in the prepare input deck. The topology modifying +commands are not stored on the run-time database and are, therefor, +not persistent. + +

+

+modify atom <string atomname> [set <integer mset> | initial | final] \
+	( type <string atomtyp> |  charge <real atomcharge> |  \
+	  polar <real atompolar> | dummy | self | quantum | quantum_high )
+
+ +

+These modify commands change the atom type, partial atomic charge, +atomic polarizability, specify a dummy, self-interaction and quantum atom, +respectively. If mset is specified, the modification will only +apply to the specified set, which has to be 1, 2 or 3. If not specified, +the modification will be applied to all three sets. The quantum region in +QM/MM simulations is defined by specifying atoms with the quantum +or quantum_high label. For atoms defined quantum_high +basis sets labeled X_H will be used. +The atomnam +should be specified as <integer isgm>:<string name>, where +isgm is the segment number, and name is the atom name. A +leading blank in an atom name should be substituted with an underscore. +The modify commands may be combined. For example, the following directive +changes for the specified atom the charge and atom type in set 2 and +specifies the atom to be a dummy in set 3. + +

+

+modify atom 12:_C1 set 2 charge 0.12 type CA set 3 dummy
+
+ +

+With the following directives modifications can be made for entire +segments. + +

+

+modify segment <integer isgm> [set <integer mset> | initial | final] \
+	( dummy | self | uncharged | quantum | quantum_high )
+
+ +

+Modifications to bonded interaction parameters can be made with the +following modify commands. + +

+

+modify ( bond <string atomtyp> <string atomtyp> |  \
+	 angle <string atomtyp> <string atomtyp> <string atomtyp> |        \ 
+ 	 torsion <string atomtyp> <string atomtyp> <string atomtyp>        \
+		 <string atomtyp> [ multiplicity <integer multip> ] |      \
+	 plane <string atomtyp> <string atomtyp> <string atomtyp>          \
+		 <string atomtyp> ) [set <integer mset> | initial | final] \
+	 <real value> <real forcon>
+
+ +

+where atomtyp and mset are defined as above, multip +is the torsion ultiplicity for which the modification is to be applied, +value is the reference bond, angle, torsion angle of out-of-plane +angle value respectively, and forcon is the force constant for +bond, angle, torsion angle of out-of-plane angle. When multip +or mset are not defined the modification will be applied to +all multiplicities and sets, respectively, for the identified bonded +interaction. + +

+After modifying atoms to quantum atoms the bonded interactions in which +only quantum atoms are involved are removed from the bonded lists using + +

+

+update lists
+
+ +

+Error messages resulting from parameters not being defined for bonded +interaction in which only quantum atoms are involved are ignored using + +

+

+ignore
+
+ +

+ +

+30.5 Appending to an existing topology file +

+ +

+

+noe <string atom1> <string atom3> \
+  <real dist1> <real dist2>  <real dist3> <real forc1> <real forc2>
+
+ +

+This directive specifies a distance restraint potential between atoms +$atom1$ and $atom2$, with a harmonic function with force constant +$forc1$ between $dist1$ and $dist2$, and a harmonic function with +force constant $forc2$ between $dist2$ and $dist3$. For distances +shorter than $dist1$ or larger than $dist3$, a constant force is +applied such that force and energy are continuous at $dist1$ +and $dist3$, respectively. Distances are given in nm, force constants +in kJ mol$^{-1}$ nm$^{-2}$. + +

+

+select <integer isel> { <string atoms> }
+
+ +

+Directive select specifies a group of atoms used in the +definition of potential of mean force potentials. + +

+The selected atoms are specified by the string atoms which +takes the form + +

+

+[{isgm [ - jsgm ] [,]} [:] [{aname[,]}]
+
+ +

+For example, all carbon and oxygen atoms in segments 3 +and 6 through 12 are selected for group 1 by + +

+

+3,6-12:_C????,_O????
+
+ +

+

+pmf [all] [bias] zalign <integer isel> <real forcon1> <real forcon2> 
+pmf [combine] [bias] xyplane <integer isel> <real forcon1> <real forcon2>
+pmf [constraint] [bias] (distance | zdistance) <integer isel> <integer jsel> \
+             <real dist1> <real dist2> <real forcon1> <real forcon2>
+pmf [bias] angle <integer isel> <integer jsel> <integer ksel> \
+             <real angle1> <real angle2> <real forcon1> <real forcon2>
+pmf [bias] torsion <integer isel> <integer jsel> <integer ksel> <integer lsel> \
+             <real angle1> <real angle2> <real forcon1> <real forcon2>
+pmf [bias] basepair <integer isel> <integer jsel> \
+             <real dist1> <real dist2> <real forcon1> <real forcon2>
+pmf [bias] (zaxis | zaxis-cog) <integer isel> <integer jsel> <integer ksel> \
+             <real dist1> <real dist2> <real forcon1> <real forcon2>
+
+ +

+Directive pmf specifies a potential of mean force potential +in terms of the specified atom selection. Option zalign specifies +the atoms in the selection to be restrained to a line parallel to the +z-axis. Option xyplane specifies the atoms in the selection to +be restrained to a plane perpendicular to the z-axis. Options +distance, angle and torsion, are defined in terms +of the center of geometry of the specified atom selections. +Keyword basepair is used to specify a harmonic potential between +residues isel and jsel. Keywords zaxis and zaxis-cog +can be used to pull atoms toward the z-axis. +Option all may be specified to apply an equivalent pmf to each +of the equivalent solute molecules in the system. +Option combine may be specified to apply the specified pmf to +the atoms in all of the equivalent solute molecules. +Option constraint may be specified to a distance pmf to treat +the distance as a contraint. +Option bias may be specified to indicate that this function +should be treated as a biasing potential. Appropriate corrections +to free energy results will be evaluated. + +

+ +

+30.6 Generating a restart file +

+ +

+

+new_rst
+
+ +

+Keyword new_rst will cause an existing restart file to be +overwritten with a new file. + +

+The follwing directives control the manipulation of restart +files, and are executed in the order in which they +appear in the prepare input deck. + +

+

+solvent name <string*3 slvnam default ``HOH''> \
+        model <string slvmdl default ``spce''>
+
+ +

+The solvent keyword can be used to specify the three letter solvent name +as expected on the PDB formatted file, and the name of the solvent model +for which solvent coordinates will be used. + +

+

+solvate   [ < real rshell default 1.2 > ] \
+        ( [ cube [ <real edge> ]] |  \
+          [ box [ <real xedge> [ <real xedge> [ <real xedge> ]]]] | \
+          [ sphere <real radius> ] |
+          [ troct <real edge> ])
+
+ +

+Solvation can be specified to be in a cubic box with specified edge, +rectangular box with specified edges, or in a sphere with specified +radius. Solvation in a cube or rectangular box will automatically also +set periodic boundary conditions. Solvation in a sphere will only allow +simulations without periodic boundary conditions. The size of the cubic +and rectangular boxes will be expanded by a length specified by the +expand variable. If no shape is specified, solvation will be done for +a cubic box with an edge that leaves rshell nm between any solute atom and +a periodic image of any solute atom after the solute has been centered. +An explicit write is not needed to write the restart file. +The solvate will write out a file sys_calc.rst. +If not specified, the dimension of the solvation cell will be as large +as to have at least a distance of rshell nm between any solute atom +and the edge of the cell. The experimental troct directive generates +a truncated octrahedral box. + +

+

+touch <real touch default 0.23>
+
+ +

+The variable touch specifies the minimum distance between a solvent +and solute atom for which a solvent molecule will be accepted for solvation. + +

+

+envelope <real xpndw default 0.0>
+
+sets the expand vealues to be used in solvate operations. + +

+

+expand <real xpndw default 0.1>
+
+ +

+The variable xpndw specifies the size in nm with which the simulation +volume will be increased after solvation. + +

+

+read [rst | rst_old | pdb] <string filename>
+write [rst | [solute [<integer nsolvent>]] ( [large] pdb | xyz)] <string filename>
+
+ +

+These directives read and write the file filename in the specified +format. The solute option instructs to write out the coordinates +for solute and all, or if specified the first nsolvent, crystal solvent +molecules only. +If no format is specified, it will be derived from the extension of the +filename. Recognized extensions are rst, rst_old (read only), pdb, xyz +(write only) and pov (write only). +Reading and then writing the same restart file will cause the +sub-block size information to be lost. If this information needs to be +retained a shell copy command needs to be used. +The large keyword allows PDB files to be written with more than 9999 +residues. Since the PDB file will not conform to the PDB convention, this +option should only be used if required. NWChem will be able to read the +resulting PDB file, but other codes may not. + +

+

+scale <real scale default -1.0>
+
+ +

+This directive scales the volume and coordinates written to povray files. +A negative value of scale (default) scales the coordinates to lie +in [-1:1]. + +

+

+cpk [<real cpk default 1.0>]
+
+ +

+This directive causes povray files to contain cpk model output. The +optional value is used to scale the atomic radii. A neagtive value +of cpk resets the rendering to stick. + +

+

+center | centerx | centery | centerz
+
+ +

+These directives center the solute center of geometry at the origin, +in the y-z plane, in the x-z plane or in the x-y plane, respectively. + +

+

+orient
+
+ +

+This directive orients the solute principal axes. + +

+

+translate [atom | segment | molecule] \
+	 <integer itran> <integer itran> <real xtran(3)>
+
+ +

+This directive translates solute atoms in the indicated range by xtran, +without checking for bad contacts in the resulting structure. + +

+

+rotate [atom | segment | molecule] \
+	 <integer itran> <integer itran> <real angle> <real xrot(3)>
+
+ +

+This directive rotates solute atoms in the indicated range by angle +around the vector given by xrot,, +without checking for bad contacts in the resulting structure. + +

+

+remove solvent [inside | outside] [x <real xmin> <real xmax>] \
+[y <real ymin> <real ymax>] [z <real zmin> <real zmax>]
+
+ +

+This directive removes solvent molecules inside or outside the +specified coordinate range. + +

+

+periodic
+
+ +

+This directive enables periodic boundary conditions. + +

+

+vacuo
+
+ +

+This directive disables periodic boundary conditions. + +

+

+grid <integer mgrid default 24> <real rgrid default 0.2>
+
+ +

+This directive specifies the grid size of trial counter-ion positions and +minimum distance between an atom in the system and a counter-ion. + +

+

+crop
+
+prints minimum and maximum solute coordinates. + +

+

+boxsize
+
+specifies to redetermine the box size. + +

+

+cube
+
+specifies to redetermine the smallest cubic box size. + +

+

+box <real xsize> <real ysize>  <real zsize>
+
+ +

+The box directive resets the box size. + +

+

+align <string atomi> <string atomj> <string atomk>
+
+ +

+The align directive orients the system such that +atomi and atomj are on the z-axis, and atomk +in the x=y plane. + +

+

+repeat [randomx | randomy | randomz] [chains | molecules | fractions ] \
+ <integer nx> <integer ny> <integer nz> [<real dist>] [<real zdist>]
+
+ +

+The repeat directive causes a subsequent write pdb +directive to write out multiple copies of the system, with nx +copies in the x, ny copies in the y, and nz copies in +the z-direction, with a minimum distance of dist between any +pair of atoms from different copies. If nz is -2, an inverted +copy is placed in the z direction, with a separation of zdist nm. +If dist is negative, the box dimensions will be used. +For systems with solvent, this directive should be used with a negative +dist. +Optional keywords chains, molecules and fractions +specify to write each repeating solute unit as a chain, to repeat +each solute molecule, or each solute fraction separately. Optional +keywords randomx, randomy, and randomz can be used +to apply random rotations for each repeat unit around a vector through +the center of geometry of the solute in the x, y or z direction. + +

+

+skip <integer ix> <integer iy> <integer iz>
+
+ +

+The skip directive can be used to skip single repeat unit +from the repeat directive. Up to 100 skip directives +may be specified, and will only apply to the previously specified +repeat directive. + +

+

+(collapsexy | collapsez) [ <integer nmoves>]
+
+specifies to move all solute molecules toward the z-axis or +x=y-plane, respectively, to within a distance of touch +nm between any pair of atoms from different solute molecules. Parameter +nmoves specifies the number of collapse moves that will be made. +Monatomic ions will move with the nearest multi-atom molecule. + +

+

+collapse_group <integer imol> <integer jmol>
+
+specifies that molecule jmol will move together with molecule imol in +collapse operations. + +

+

+merge <real xtran(3)> <string pdbfile>
+
+specifies to merge the coordinates found on the specified pdb file +into the current structure after translation by xtran(3). + +

+


+ + +next + +up + +previous + +contents +
+ Next: 31. Molecular dynamics + Up: user + Previous: 29. Electrostatic potentials +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node33.html b/web/doc/user.4.6/node33.html new file mode 100644 index 0000000000..eedfc89b4b --- /dev/null +++ b/web/doc/user.4.6/node33.html @@ -0,0 +1,2126 @@ + + + + + +31. Molecular dynamics + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 32. Analysis + Up: user + Previous: 30. Prepare +   Contents +
+
+ + +Subsections + + + +
+ +

+31. Molecular dynamics +

+ + +

+ +

+31.1 Introduction +

+ +

+ +

+31.1.1 Spacial decomposition +

+The molecular dynamics module of NWChem uses a distribution of data +based on a spacial decomposition of the molecular system, offering +an efficient parallel implementation in terms of both memory +requirements and communication costs, especially for simulations of +large molecular systems. + +

+Inter-processor communication using the global array tools and the +design of a data structure allowing distribution based on spacial +decomposition are the key elements in taking advantage of +the distribution of memory requirements and computational work with +minimal communication. + +

+In the spacial decomposition approach, the physical simulation +volume is divided into rectangular cells, each of which is +assigned to a processor. Depending on the conditions of the +calculation and the number of available processors, each processor +contains one or more of these spacially grouped cells. +The most important aspects of this decomposition are the dependence +of the cell sizes and communication cost on the number of processors +and the shape of the cells, the frequent reassignment of atoms to +cells leading to a fluctuating number of atoms per cell, and the +locality of communication which is the main reason for the efficiency +of this approach for very large molecular systems. + +

+To improve efficiency, molecular systems are broken up into separately +treated solvent and solute parts. Solvent molecules are assigned to +the domains according to their center of geometry and are always owned +by a one node. This avoids solvent-solvent bonded interactions +crossing node boundaries. Solute molecules are broken up into +segments, with each segment assigned to a processor based on its +center of geometry. This limits the number of solute bonded +interactions that cross node boundaries. The processor to which a +particular cell is assigned is responsible for the calculation of all +interactions between atoms within that cell. For the calculation of +forces and energies in which atoms in cells assigned to different +processors are involved, data are exchanged between processors. The +number of neighboring cells is determined by the size and shape of the +cells and the range of interaction. The data exchange that takes place +every simulation time step represents the main communication +requirements. Consequently, one of the main efforts is to design +algorithms and data structures to minimize the cost of this +communication. However, for very large molecular systems, memory +requirements also need to be taken into account. + +

+To compromise between these requirements exchange of data is performed +in successive point to point communications rather than using the +shift algorithm which reduces the number of communication calls +for the same amount of communicated data. + +

+For inhomogeneous systems, the computational load of evaluating +atomic interactions will generally differ between cell pairs. +This will lead to load imbalance between processors. +Two algorithms have been implemented that allow for dynamically +balancing the workload of each processor. +One method is the dynamic resizing of cells such that cells gradually +become smaller on the busiest node, thereby reducing the computational +load of that node. Disadvantages of this method are that the +efficiency depends on the solute distribution in the simulation volume +and the redistribution of work depends on the number of nodes which +could lead to results that depend on the number of nodes used. +The second method is based on the dynamic redistribution of intra-node +cell-cell interactions. This method represents a more coarse load +balancing scheme, but does not have the disadvantages of the cell +resizing algorithm. For most molecular systems the cell pair +redistribution is the more efficient and preferred method. + +

+The description of a molecular system consists of static and dynamic +information. The static information does not change during a +simulation and includes items such as connectivity, excluded and third +neighbor lists, equilibrium values and force constants for all +bonded and non-bonded interactions. The static information is called +the topology of the molecular system, and is kept on a separate +topology file. The dynamic information includes coordinates and +velocities for all atoms in the molecular system, and is kept in a +so-called restart file. + +

+ +

+ +
+31.1.2 Topology +

+The static information about a molecular system that is needed for +a molecular simulation is provided to the simulation module in a +topology file. +Items in this file include, among many other things, +a list of atoms, their non-bonded parameters for van der Waals and +electrostatic interactions, and the complete connectivity in terms +of bonds, angles and dihedrals. + +

+In molecular systems, a distinction is made between +solvent and solute, which are treated separately. +A solvent molecule is defined only once in the topology file, +even though many solvent molecules usually are included in the +actual molecular system. In the current implementation only one +solvent can be defined. Everything that is not solvent in the +molecular system is solute. Each solute atom in the system must +be explicitly defined in the topology. + +

+Molecules are defined in terms of one or more segments. +Typically, repetitive parts of a molecule are each defined as a single +segment, such as the amino acid residues in a protein. +Segments can be quite complicated to define and are, therefore, +collected in a set of database files. +The definition of a molecular system in terms of segments is a +sequence. + +

+Topology files are created using the prepare module. + +

+ +

+ +
+31.1.3 Files +

+ +

+File names used have the form $system$_$calc$.$ext$, with +exception of the topology file (Section 31.1.2), which is named +$system$.top. +Anything that refers to the definition of the chemical system can be used +for $system$, as long as no periods or underlines are used. +The identifier $calc$ can be anything that refers to the type of +calculation to be performed for the system with the topology defined. +This file naming convention allows for the creation of a single +topology file $system$.top that can be used for a number of +different calculations, each identified with a different $calc$. +For example, if crown.top is the name of the topology file for +a crown ether, crown_em, crown_md, crown_ti could +be used with appropriate extensions for the filenames for energy +minimization, molecular dynamics simulation and multi-configuration +thermodynamic integration, respectively. All of these calculations +would use the same topology file crown.top. + +

+ +

+The extensions <ext> identify the kind of information on a file, +and are pre-determined. +

+
+ + + +
Table 31.1: +List of file extensions for nwchem chemical system files.
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
dbgdebug file
frgfragment file
gibfree energy data file
mrifree energy multiple run input file
mrofree energy multiple run output file
nwNWChem input file
nwoutNWChem output file
outmolecular dynamics output file
pdbPDB formatted coordinate file
prpproperty file
qrsquenched restart file, resulting from an energy minimization
rstrestart file, used to start or restart a simulation
seqsequence file, describing the system in segments
sgmsegment file, describing segments
synsynchronization time file
tsttest file
timtiming analysis file
toptopology file, contains the static description of a system
trjtrajectory file
+
+
+

+
+ +

+ +

+31.1.4 Databases +

+Database file used by the prepare module are found in directories +with name $ffield$_$level$, +
+where $ffield$ is any of the +supported force fields (Section 31.1.5). +The source of the data is identified by $level$, and can be +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
levelDescriptionAvailability
soriginal published datapublic
xadditional published datapublic
qcontributed datapublic
uuser preferred dataprivate
tuser defined temporary dataprivate
ccurrent working dataprivate
+
+ +

+Typically, only the level s, x and q databases are publicly +available. +The user is responsible for the private level u, t and c +database files. When the prepare module scans the databases, the priority +is c$>$t$>$u$>$q$>$x$>$s. + +

+The extension <ext> defines the type of database file within each +database directory. +

+
+ + + +
Table 31.2: +List of database file extensions.
+
+ + + + + + + + + + + + + +
frgfragments
parparameters
seqsequences
sgmsegments
+
+
+

+
+ +

+The paths of the different database directories should be defined in a file +.nwchemrc in a user's home directory, and provides the user the +option to select which database files are scanned. + +

+ +

+ +
+31.1.5 Force fields +

+Force fields recognized are +
+ + + + + + + + + + + + + +
KeywordForce fieldStatus
amberAMBER99AMBER95,GLYCAM also available
charmmCHARMMincomplete
+
+ +

+ +

+31.2 Format of fragment files +

+Fragment files contain the basic information needed to specify all +interactions that need to be considered in a molecular simulation. +The format of the fragment files is described in Table 34.1. +Normally these files are created by the prepare module. Manual +editing is needed when, for example, the prepare module could not +complete atom typing, or when modified charges are required. + +

+ +

+ +
+31.3 Creating segment files +

+The prepare module is used to generate segment files +from corresponding fragment files. A segment file contains all +information for the calculation of bonded and non-bonded interactions +for a given chemical system using a specific force field. + +

+Which atoms form a fragment is specified in the coordinate file, +currently only in PDB format. +the restriction is that bonded interactions may only involve atoms on at +most two segments does no longer exist as of NWChem release 3.2.1. +The segment entries define three sets of parameters +for each interaction. + +

+Free energy perturbations can be performed using set 1 for the +generation of the ensemble while using sets 2 and/or 3 +as perturbations. Free energy multiconfiguration thermodynamic +integration and multistep thermodynamic perturbation calculations are +performed by gradually changing the interactions in the system from +parameter set 2 to parameter set 3. These modifications can be +edited into the segment files manually, or introduced directly into +the topology file using the modify commands in the input for +the prepare module. + +

+The format of a segment is +described in Tables 34.2-34.7. + +

+ +

+31.4 Creating sequence files +

+A sequence file describes a molecular system in terms of segments. This +file is generated by the prepare module for the molecular system +provided on a PDB-formatted coordinate file. +The file format is given in Table 34.8 + +

+ +

+ +
+31.5 Creating topology files +

+ +

+The topology (Section 31.1.2) describes all static information +that describes a molecular system. This includes the connectivity in +terms of bond-stretching, angle-bending and torsional interactions, as well as +the non-bonded van der Waals and Coulombic interactions. + +

+The topology of a molecular system is generated by the prepare module +from the sequence in terms of segments as specified on the PDB file. +For each unique segment specified in this file the +segment database directories are searched for the segment definition. +For segments not found in one of the database directories a segment definition +is generated in the temporary directory if a fragment file was found. +If a fragment file could not be found, it is generated by the prepare module +base on what is found on the PDB file. + +

+When all segments are found or created, the parameter substitutions are +performed, using force field parameters taken from the parameter +databases. After all lists have been generated the +topology is written to a local topology file $system$.top. + +

+ +

+ +
+31.6 Creating restart files +

+ +

+Restart files contain all dynamical information about a molecular +system and are created by the prepare module if a topology file +is available. The prepare module will automatically generate +coordinates for hydrogen atoms and monatomic counter ions +not found on the PDB formatted coordinate file, if no fragment or +segment files were generated using that PDB file. + +

+The prepare module has a number of other optional input command, +including solvation. + +

+ +

+31.7 Molecular simulations +

+The type of molecular dynamics simulation is specified by the +NWChem task directive. +
+task md [ energy | optimize | dynamics | thermodynamics ]
+
+where the theory keyword md specifies use of the molecular +dynamics module, and the operation keyword is one of +
+
+
energy for single configuration energy evaluation +
+
+
optimize for energy minimization +
+
+
dynamics for molecular dynamics simulations and single step +thermodynamic perturbation free energy molecular dynamics simulations +
+
+
thermodynamics for combined multi-configuration thermodynamic +integration and multiple step thermodynamic perturbation free +energy molecular dynamics simulations. +
+
+ +

+ +

+31.8 System specification +

+ +

+The chemical system for a calculation is specified in the topology +and restart files. These files should be created using the utilities +nwtop and nwrst before a simulation can be performed. +The names of these files are determined from the required system +directive. + +

+

+system <string systemid>_<string calcid>
+
+ +

+where the strings systemid and calcid are user defined names +for the chemical system and the type of calculation to ber performed, +respectively. These names are used to derive the filenames used for the +calculation. The topoly file used will be systemid.top, while all +other files are named systemid_calcid.ext. + +

+ +

+31.9 Restarting and continuing simulations +

+
+
+
+finish
+
+specifies that the current job will finish a previous, incomplete +simulation, using the input data that have been recorded by that +previous run in the restart file. Most of the input in the current +md input block will be ignored. + +

+

+
+
+resume
+
+specifies that the current job will be an extension of a previous +simulation, using most of the input data that have been recorded by that +previous run in the restart file. Typically the input in the current +md input block defines a larger number of steps than the previous job. + +

+

+
+

+31.10 Parameter set +

+ +

+ +

+set <integer iset>
+
+specifies the use of parameter set <iset> for the +molecular dynamics simulation. +The topology file contains three separate parameters sets that can +be used. The default for <iset> is 1. + +

+ +

+lambda <integer ilambda> <integer ilambda>
+
+specifies the use of parameter set for the ilambda-th +of mlambda steps. + +

+ +

+pset <integer isetp1> [<integer isetp2>]
+
+specifies the parameter sets to be used as perturbation potentials +in single step thermodynamic perturbation free energy evaluations, +where <isetp1> specifies the first perturbation parameter set and +<isetp2> specifies the second perturbation parameter set. Legal +values for <isetp1> are 2 and 3. Legal value for <isetp2> is +3, in which case <isetp1> can only be 2. If specified, <iset> +is automatically set to 1. + +

+ +

+pmf [ equilharm <integer npmfc> | scale <real facpmf>]
+
+specifies that any potential of mean force functions defined in the +topology files are to be used. If equilharm is specified, the +first npmfc dynamics steps will use a harmonic potential +in stead of any pmf constraint. If scale is specified, all +pmf force constants are scaled by a factor facpmf. + +

+ +

+distar [draver [<integer ndaver default 1>]] 
+       [scale <real drsscl>]
+       [after <integer nfdrss>]
+
+specifies that any distance restraint functions defined in the +topology files are to be used. + +

+ +

+ +

+31.11 Energy minimization algorithms +

+The energy minimization of the system as found in the restart file +is performed with the following directives. If both are specified, +steepest descent energy minimization precedes conjugate gradient +minimization. + +

+

+
+
+sd <integer msdit> [init <real dx0sd>] [min <real dxsdmx>] \
+                   [max <real dxmsd>]
+
+specifies the variables for steepest descent energy minimizations, +where <msdit> is the maximum number of steepest descent steps taken, +for which the default is 100, <dx0sd> is the initial step size in nm +for which the default is 0.001, <dxsdmx> is the threshold for the +step size in nm for which the default is 0.0001, and <dxmsd> is the +maximum allowed step size in nm for which the default is 0.05. +
+
+
+cg <integer mcgit> [init <real dx0cg>] [min <real dxcgmx>] \
+                   [cy <integer ncgcy>]
+
+specifies the variables for conjugate gradient energy minimizations, +where <mcgit> is the maximum number of conjugate gradient steps +taken, for which the default is 100, <dx0cg> is the initial search +interval size in nm for which the default is 0.001, <dxcgmx> is the +threshold for the step size in nm for which the default is 0.0001, and +<ncgcy> is the number of conjugate gradient steps after which the +gradient history is discarded for which the default is 10. If conjugate +gradient energy minimization is preceded by steepest descent energy +minimization, the search interval is set to twice the final step of the +steepest descent energy minimization. +
+
+ +

+ +

+31.12 Multi-configuration thermodynamic integration +

+The following keywords control free energy difference simulations. +Multi-configuration thermodynamic integrations are always combined +with multiple step thermodynamic perturbations. +
+
+
+(forward | reverse) [[<integer mrun> of] <integer maxlam>]
+
+specifies the direction and number of integration steps in free +energy evaluations, with forward being the default direction. +<mrun> is the number of ensembles that will be generated in +this calculation, and <maxlam> is the total number of ensembles +to complete the thermodynamic integration. The default value for +<maxlam> is 21. The default value of <mrun> is the +value of <maxlam>. + +

+

+
+
+error <real edacq>
+
+specifies the maximum allowed statistical error in each generated +ensemble, where <edacq> is the maximum error allowed in the +ensemble average derivative of the Hamiltonian with respect to +$\lambda$ with a default of 5.0 kJ mol$^{-1}$. + +

+

+
+
+drift <real ddacq>
+
+specifies the maximum allowed drift in the free energy result, +where <ddacq> is the maximum drift allowed in the +ensemble average derivative of the Hamiltonian with respect to +$\lambda$with a default of 5.0 kJ mol$^{-1}$ps$^{-1}$. + +

+

+
+
+factor <real fdacq>
+
+specifies the maximum allowed change in ensemble size +where <fdacq> is the minimum size of an ensemble relative to the +previous ensemble in the calculation with a default value of 0.75. + +

+

+
+
+decomp
+
+specifies that a free energy decomposition is to be carried out. +Since free energy contributions are path dependent, results from a +decomposition analysis can no be unambiguously interpreted, and +the default is not to perform this decomposition. + +

+

+
+
+sss [delta <real delta>]
+
+specifies that atomic non-bonded interactions describe a dummy atom +in either the initial or final state of the thermodynamic calculation +will be calculated using separation-shifted scaling, where <delta> +is the separation-shifted scaling factor with a default of 0.075 nm$^2$. +This scaling method prevents problems associated with singularities in +the interaction potentials. + +

+

+
+
+new | renew | extend
+
+specifies the initial conditions for thermodynamic calculations. +new indicates that this is an initial mcti calculation, which +is the default. renew instructs to obtain the initial +conditions for each $\lambda$ from the mro-file from a previous +mcti calculation, which has to be renamed to an mri-file. The +keyword extend will extend a previous mcti calculation from the +data read from an mri-file. +
+
+ +

+ +

+31.13 Time and integration algorithm directives +

+Following directives control the integration of the equations of motion. +
+
+
+leapfrog | leapfrog_bc
+
+specifies the integration algorithm, +where leapfrog specifies the default leap frog integration, and +leapfrog_bc specifies the Brown-Clarke leap frog integrator. + +

+

+
+
+guided [<real fguide default 0.2> [<real tguide default 0.2>]]
+
+specifies the use of the guided molecular dynamics simulation +technique. Variable $fguide$ defines the fraction of the averaged +forces $g$ to be added to the forces $f^{f}$ evaluated using the force +field functions to obtain the forces $f$ used to advance the coordinates. +
+
+ + + + + +
\begin{displaymath}
+f_i=f^{f}_i+fguide * g_{i-1}
+\end{displaymath} +(31.1)
+

+Variable $tguide$ defines the length of the averaging relative to the +timestep $\Delta t$. +
+
+ + + + + +
\begin{displaymath}
+g_i = {\Delta t\over tguide} f_i + \left(1- {\Delta t\over tguide}\right)
+g_{i-1}
+\end{displaymath} +(31.2)
+

+The current implementation is still under +development. + +

+

+
+
+equil <integer mequi>
+
+specifies the number of equilibration steps <mequi>, with a default +of 100. + +

+

+
+
+data <integer mdacq> [over <integer ldacq>]]
+
+specifies the number of data gathering steps <mdacq> with a +default of 500. In multi-configuration thermodynamic integrations +<mequi> and <mdacq> are for each of the ensembles, and +variable <ldacq> specifies the minimum number of data gathering steps +in each ensemble. In regular molecular dynamics simulations <ldacq> +is not used. The default value for <ldacq> is the value of <mdacq>. + +

+

+
+
+time <real stime>
+
+specifies the initial time <stime> of a molecular simulation in ps, +with a default of 0.0. + +

+

+
+
+step <real tstep>
+
+specifies the time step <tstep> in ps, with 0.001 as the default value. +
+
+ +

+ +

+31.14 Ensemble selection +

+Following directives control the ensemble type. + +

+

+
+
+isotherm [<real tmpext> [<real tmpext2>]] [trelax <real tmprlx> [<real tmsrlx>]] \
+         [anneal [<real tann1>] <real tann2>]
+
+specifies a constant temperature ensemble using Berendsen's thermostat, +where <tmpext> is the external temperature with a default of 298.15 K, +and <tmprlx> and <tmsrlx> are temperature relaxation times in ps +with a default of 0.1. If only <tmprlx> is given the complete system +is coupled to the heat bath with relaxation time <tmprlx>. If both +relaxation times are supplied, solvent and solute are independently coupled +to the heat bath with relaxation times <tmprlx> and <tmsrlx>, +respectively. If keyword anneal is specified, the external temperature +will change from tmpext to tempext2 between simulation time +tann1 and tann2 + +

+

+
+
+isobar [<real prsext>] [trelax <real prsrlx> ] \
+       [compress <real compr>] [anisotropic] [xy | z | xy-z]
+
+specifies a constant pressure ensemble using Berendsen's piston, +where <prsext> is the external pressure with a default of 1.025 10$^5$ Pa, +<prsrlx> is the pressure relaxation time in ps with a default of 0.5, and +<compr> is the system compressibility in m$^2$N$^{-1}$ with a +default of 4.53E-10. Optional keywords xy, z and xy-z +may be used to specify that pressure scaling is to be applied in +the x and y dimension only, the z dimension only, or, +in all three dimensions with identical scaling in the x and y +dimension. The last option requires that anisotropic is also specified. + +

+

+
+ +

+ +

+31.15 Velocity reassignments +

+Velocities can be periodically reassigned to reflect a certain temperature. +
+
+
+vreass <integer nfgaus> <real tgauss>
+       [fraction [<real frgaus default 0.5]]
+       [once]
+       [(first | initial)] [(last | final)]
+
+specifies that velocities will be reassigned every <nfgaus> molecular +dynamics steps, reflecting a temperature of <tgauss> K. The default +is not to reassign velocities, i.e. <nfgaus> is 0. Keyword +fraction allows the specification of the fraction of the new +velocities are random. Keyword once specifies that velocity +reassignment only should be done in the first step. Keywords first +or initial and last or final specify that +velocity reassigment should only be applied in the first and last +window of multiple run simulations. + +

+

+
+ +

+ +

+31.16 Cutoff radii +

+Cutoff radii can be specified for short range and long range interactions. +
+
+
+cutoff [short] <real rshort> [long <real rlong>] \
+       [qmmm <real rqmmm>]
+
+specifies the short range cutoff radius <rshort>, and the long range +cutoff radius <rlong> in nm. If the long range cutoff radius +is larger than the short range cutoff radius the twin range method will +be used, in which short range forces and energies are evaluated every +molecular dynamics step, and long range forces and energies with a +frequency of <nflong> molecular dynamics steps. Keyword +qmmm specifies the radius of the zone around quantum atoms +defining the QM/MM bare charges. +The default value for <rshort>, <rlong> and <rqmmm> +is 0.9 nm. +
+
+ +

+ +

+31.17 Polarization +

+First order and self consistent electronic polarization models have +been implemented. +
+
+
+polar (first | scf [[<integer mpolit>] <real ptol>])
+
+specifies the use of polarization potentials, +where the keyword first specifies the first order polarization +model, and scf specifies the self consistent polarization field +model, iteratively determined with a maximum of <mpolit> +iterations to within a tolerance of <ptol> D in the generated +induced dipoles. The default is not to use polarization models. +
+
+ +

+ +

+31.18 External electrostatic field +

+
+
+
+field <real xfield> [freq <real xffreq>] [vector <real xfvect(1:3)>]
+
+specifies an external electrostatic field, +where <xfield> is the field strength, <xffreq> is the +frequency in MHz and <xfvect> is the external field vector. +
+
+ +

+ +

+31.19 Constraints +

+Constraints are satisfied using the SHAKE +coordinate resetting procedure. +
+
+
+shake [<integer mshitw> [<integer mshits>]]  \
+      [<real tlwsha> [<real tlssha>]]
+
+specifies the use of SHAKE constraints, +where <mshitw> is the maximum number of solvent SHAKE iterations, +and <mshits> is the maximum number of solute SHAKE iterations. If +only <mshitw> is specified, the value will also be used for <mshits>. +The default maximum number of iterations is 100 for both. +<tlwsha> is the solvent SHAKE tolerance in nm, and <tlssha> is +the solute SHAKE tolerance in nm. If only <tlwsha> is specified, the +value given will also be used for <tlssha>. The default tolerance +is 0.001 nm for both. + +

+

+
+
+noshake (solvent | solute)
+
+disables SHAKE and treats the bonded interaction according to the force +field. + +

+

+
+ +

+ +

+31.20 Long range interaction corrections +

+Long range electrostatic interactions are implemented using the +smooth particle mesh Ewald technique, for neutral periodic cubic systems in +the constant volume ensemble, using pair interaction potentials. Particle-mesh +Ewald long range interactions can only be used in molecular dynamics simulations +using effective pair potentials, and not in free energy simulations, QMD or +QM/MM simulations. + +

+

+
+
+pme [grid <integer ng>] [alpha <real ealpha>] \
+    [order <integer morder>] [fft <integer imfft>]\
+    [procs <integer nprocs>] [solvent]
+
+specifies the use of smooth particle-mesh Ewald long range +interaction treatment, +where ng is the number of grid points per dimension, +ealpha is the Ewald coefficient in nm$^{-1}$, with a default +that leads to a tolerance of $10^{-4}$ at the short range cutoff radius, +and morder is order of the Cardinal B-spline +interpolation which must be an even number and at least 4 (default +value). A platform specific 3D fast Fourier transform is used, if +available, when imfft is set to 2. nprocs can be used to +define a subset of processors to be used to do the FFT calculations. +If solvent is specified, the charge grid will be calculated from +the solvent charges only. + +

+

+
+
+react [<real dielec default 80.0>]
+
+specifies that a simple reaction field correction is used with a +dielectric constant dielec. This is an +experimental option that has not been well tested. + +

+

+
+ +

+ +

+31.21 Fixing coordinates +

+Solvent or solute may be fixed using the following keywords. +
+
+
+( fix | free ) 
+ solvent ( [<integer idfirst> [<integer idlast>]] | 
+            ( within | beyond) <real rfix> <string atomname> ) | \
+ solute  ( [<integer idfirst> [<integer idlast>]] [ heavy | {<string atomname>}] |
+            ( within | beyond) <real rfix> <string atomname> )
+ [permanent]
+
+For solvent the molecule numbers idfirst and idlastmay be +specified to be the first and last molecule to which the directive +applies. If omitted, the directive applies to all molecules. For solute, +the segment numbers idfirst and idlastmay be +specified to be the first and last segment to which the directive +applies. If omitted, the directive applies to all segments. In addition, +the keyword heavy may be specified to apply to all non hydrogen +atoms in the solute, or a set of atom names may be specified in which +a wildcard character ? may be used. Keyword permanent +is used to keep the specification on the restart file for subsequent +simulations. +
+
+ +

+ +

+31.22 Special options +

+
+
+
+import [<integer impfr default 1> [<integer impto default impfr> \
+       [<integer nftri default 1>]]]
+
+specifies the import of frames impfr to impto with +frequency nftri from a trajectory file with extension +tri for which energies and forces are to be recalculated. +This option only applied to task md energy. + +

+

+
+
+detail
+
+specifies that moments of inertia and radii of gyration will be part of the +recorded properties. + +

+

+
+
+profile
+
+specifies that execution time profiling data will be part of the +recorded properties. + +

+

+
+
+scale <real scaleq>
+
+specifies that all charges will be scaled by the factro scaleq. + +

+

+
+
+collapse [<real fcoll default 10.0> [ z | xy ]
+
+specifies that additional forces directed to the origin of the +simulation cell with strength fcoll will be +applied to all solute molecules. If z or xy is +specified, these forces will only apply in the specified dimension(s). + +

+

+
+
+include fixed
+
+specifies that energies will be evaluated between fixed atoms. +Normally these interactions are excluded from the pairlists. + +

+

+
+
+eqm <real eqm>
+
+specifies the zero point of energy in QMD simulations. + +

+

+
+
+atomlist
+
+specifies that pairlists will be atom based. Normally pairlist +are charge group based. + +

+

+
+ +

+ +

+31.23 Autocorrelation function +

+For the evaluation of the statistical error of multi-configuration +thermodynamic integration free energy results a correlated data +analysis is carried out, involving the calculation of the +autocorrelation function of the derivative of the Hamiltonian with +respect to the control variable $\lambda$. +
+
+
+auto <integer lacf> [fit <integer nfit>] [weight <real weight>]
+
+controls the calculation of the autocorrelation, +where <lacf> is the length of the autocorrelation function, with +a default of 1000, <nfit> is the number of functions used in the +fit of the autocorrelation function, with a default of 15, and +<weight> is the weight factor for the autocorrelation function, +with a default value of 0.0. +
+
+ +

+ +

+31.24 Print options +

+Keywords that control print to the output file, with extension out. +Print directives may be combined to a single directive. + +

+

+
+
+print [topol [nonbond] [solvent] [solute]]     \
+      [step <integer nfoutp> [extra] [energy]] \
+      [stat <integer nfstat>]                  \
+      [energies [<integer nfener>]]            \
+      [forces [<integer nfforce>]]             \
+      [matrix]                                 \
+      [expect <integer npxpct>]                \
+      [timing]                                 \
+      [pmf [<integer iprpmf>]]                 \
+      [out6]                                   \
+      [dayout]
+
+ +

+Keyword topol specifies printing the topology information, +where nonbond refers to the non-bonded interaction parameters, +solvent to the solvent bonded parameters, and solute to the +solute bonded parameters. If only topol is specified, all +topology information will be printed to the output file. + +

+Keyword step +specifies the frequency nfoutp of printing molecular dynamics step +information to the output file. If the keyword extra is specified +additional energetic data are printed for solvent and solute separately. +If the keyword energy is specified, information is printed for +all bonded solute interactions. +The default for nfoutp is 0. For molecular dynamics simulations +this frequency is in time steps, and for multi-configuration thermodynamic +integration in $\lambda$-steps. + +

+Keyword stat +specifies the frequency <nfstat> of printing statistical information +of properties that are calculated during the simulation. +For molecular dynamics simulation +this frequency is in time steps, for multi-configuration thermodynamic +integration in $\lambda$-steps. + +

+Keyword energies +specifies the frequency nfener of printing solute bonded energies +the output file for energy/import calculations. +The default for nfener is 0. + +

+Keyword forces +specifies the frequency nfforc of printing solute forces +the output file for energy/import calculations. +The default for nfforc is 0. + +

+Keyword matrix specifies that a solute distance matrix is to +be printed. + +

+Keyword expect is obsolete. + +

+Keyword timing specifies that timing data is printed. + +

+Keyword pmf specifies that pmf data is printed every iprpmf +steps. +Keyword out6 specifies that output is written to standard out in stead +of the output file with extension out. + +

+Keyword dayout is obsolete. + +

+

+
+ +

+ +

+31.25 Periodic updates +

+Following keywords control periodic events during a molecular +dynamics or thermodynamic integration simulation. +Update directives may be combined to a single directive. + +

+

+
+
+update [pairs <integer nfpair default 1>]                  \
+       [long <integer nflong default 1>]                   \
+       [center <integer nfcntr default 0> [zonly | xyonly] \
+               [fraction <integer idscb(1:5)>]             \
+       [motion <integer nfslow default 0>]                 \
+       [analysis <integer nfanal default 0>]               \
+       [rdf <integer nfrdf default 0>                      \
+               [range <real rrdf>] [bins <integer ngl>]    \
+
+ +

+Keyword pairs +specifies the frequency <nfpair> in molecular dynamics steps of +updating the pair lists. The default for the frequency is 1. +In addition, pair lists are also updated after each step in which +recording of the restart or trajectory files is performed. Updating +the pair lists includes the redistribution of atoms that changed +domain and load balancing, if specified. + +

+Keyword long +specifies the frequency <nflong> in molecular dynamics steps +of updating the long range forces. The default frequency is 1. +The distinction of short range and long range forces is only +made if the long range cutoff radius was specified to be larger +than the short range cutoff radius. Updating the long range forces +is also done in every molecular dynamics step in which the +pair lists are regenerated. + +

+Keywrod center +specifies the frequency <nfcntr> in molecular dynamics steps in +which the center of geometry of the solute(s) is translated to the +center of the simulation volume. Optional keyword zonly or +xyonly can be used to specify that centering will take place in +the z-direction or in the xy-plane only. +The solute fractions determining the +solutes that will be centered are specified by the keyword +fraction and the vector <idscb>, with a maximum of 5 entries. +This translation is implemented such that it has no effect on any +aspect of the simulation. The default is not to center, i.e. nfcntr is +0. The default fraction used to center solute is 1. + +

+Keyword motion +specifies the frequency <nfslow> in molecular dynamics steps of +removing the center of mass motion. + +

+Keyword analysis +specifies the frequency <nfanal> in molecular dynamics steps of +invoking the analysis module. This option is obsolete. + +

+Keyword rdf +specifies the frequency <nfrdf> in molecular dynamics steps of +calculating contributions to the radial distribution functions. +The default is 0. The range of the radial distribution +functions is given by <rrdf> in nm, with a default of the short +range cutoff radius. Note that radial distribution functions are not +evaluated beyond the short range cutoff radius. The number of +bins in each radial distribution function is given by <ngl>, with +a default of 1000. This option is no longer supported. +If radial distribution function are to be +calculated, a rdi files needs to be available in which the +contributions are specified as follows. +

+ + + + + + + + + + + + + + + + + + + + + +
CardFormatDescription
I-1iType, 1=solvent-solvent, 2=solvent-solute, +3-solute-solute
I-2iNumber of the rdf for this contribution
I-3iFirst atom number
I-4iSecond atom number
+
+
+
+ +

+ +

+31.26 Recording +

+The following keywords control recording data to file. +Record directives may be combined to a single directive. + +

+

+
+
+record [rest <integer nfrest> [keep]]     \
+       [coord <integer nfcoor default 0>] \
+       [wcoor <integer nfwcoo default 0>] \
+       [scoor <integer nfscoo default 0>] \
+       [veloc <integer nfvelo default 0>] \
+       [wvelo <integer nfwvel default 0>] \
+       [svelo <integer nfsvel default 0>] \
+       [force <integer nfvelo default 0>] \
+       [wforc <integer nfwvel default 0>] \
+       [sforc <integer nfsvel default 0>] \
+       [(prop | prop_average) <integer nfprop default 0>]  \
+       [free <integer nffree default 1>]  \
+       [sync <integer nfsync default 0>]  \
+       [times <integer nftime default 0>] \
+       [acf] [cnv] [fet]
+       [binary] [ascii] [ecce] [argos]
+
+ +

+Keyword rest +specifies the frequency <nfrest> in molecular dynamics steps +of rewriting the restart file, with extension rst. +For multi-configuration +thermodynamic integration simulations the frequency is in +steps in $\lambda$. The default is not to record. The restart +file is used to start or restart simulations. The keyword keep +causes all restart files written to be kept on disk, rather than +to be overwritten. + +

+Keyword coord +specifies the frequency <nfcoor> in molecular dynamics steps +of writing coordinates to the trajectory file. This directive redefines +previous coord, wcoor and scoor +directives. The default is not to record. + +

+Keyword wcoor +specifies the frequency <nfcoor> in molecular dynamics steps +of writing solvent coordinates to the trajectory file. This keyword +takes precedent over coord. This directive redefines +previous coord, wcoor and scoor +directives. +The default is not to record. + +

+Keyword scoor +specifies the frequency <nfscoo> in molecular dynamics steps +of writing solute coordinates to the trajectory file. This keyword +takes precedent over coord. This directive redefines +previous coord, wcoor and scoor +directives. +The default is not to record. + +

+Keyword veloc +specifies the frequency <nfvelo> in molecular dynamics steps +of writing velocities to the trajectory file. This directive redefines +previous veloc, wvelo and svelo +directives. +The default is not to record. + +

+Keyword wvelo +specifies the frequency <nfvelo> in molecular dynamics steps +of writing solvent velocitiesto the trajectory file. This keyword +takes precedent over veloc. This directive redefines +previous veloc, wvelo and svelo +directives. +The default is not to record. + +

+Keyword svelo +specifies the frequency <nfsvel> in molecular dynamics steps +of writing solute velocities to the trajectory file. This keyword +takes precedent over veloc. This directive redefines +previous veloc, wvelo and svelo +directives. +The default is not to record. + +

+Keyword force +specifies the frequency <nfvelo> in molecular dynamics steps +of writing forces to the trajectory file. This directive redefines +previous vforce, wforc and sforc +directives. +The default is not to record. + +

+Keyword wforc +specifies the frequency <nfvelo> in molecular dynamics steps +of writing solvent forcesto the trajectory file. This keyword +takes precedent over force. This directive redefines +previous vforce, wforc and sforc +directives. +The default is not to record. + +

+Keyword sforc +specifies the frequency <nfsvel> in molecular dynamics steps +of writing solute forces to the trajectory file. This keyword +takes precedent over force. This directive redefines +previous vforce, wforc and sforc +directives. +The default is not to record. + +

+Keyword prop +specifies the frequency <nfprop> in molecular dynamics steps +of writing information to the property file, with extension +prp. The default is not to record. + +

+Keyword prop_average +specifies the frequency <nfprop> in molecular dynamics steps +of writing average information to the property file, with extension +prp. +The default is not to record. + +

+Keyword free +specifies the frequency <nffree> in multi-configuration +thermodynamic integration steps to record data to the +free energy data file, with extension gib. +The default is 1, i.e. to record at every $\lambda$. +This option is obsolete. All data are required to do the +final analysis. + +

+Keyword sync +specifies the frequency <nfsync> in molecular dynamics steps +of writing information to the synchronization file, with extension +syn. +The default is not to record. +The information written is the simulation time, the wall clock time +of the previous MD step, the wall clock time of the previous force +evaluation, the total synchronization time, the largest +synchronization time and the node on which the largest synchronization +time was found. The recording of synchronization times is part of the +load balancing algorithm. Since load balancing is only performed when +pair-lists are updated, the frequency <nfsync> is correlated +with the frequency of pair-list updates <nfpair>. This directive +is only needed for analysis of the load balancing performance. For +normal use this directive is not used. + +

+Keyword times +specifies the frequency <nfsync> in molecular dynamics steps +of writing information to the timings file, with extension +tim. +The default is not to record. +The information written is wall clock time used by each of the +processors for the different components in the force evaluation. +This directive is only needed for analysis of the wall clock time +distribution. For normal use this directive is not used. + +

+Keywords acf, cnv and fet are obsolete. + +

+Keywords binary, ascii, ecce and argos are obsolete. + +

+

+
+ +

+ +

+31.27 Program control options +

+
+
+
+load [reset] 
+     ( none | 
+       size [<real factld>] |
+       sizez [<real factld>] | pairs | 
+      (pairs [<integer ldpair>] size [<real factld>]) )
+     [last]
+     [minimum]
+     [average]
+     [combination]
+     [iotime]
+     [experimental]
+
+determines the type of dynamic load balancing performed, +where the default is none. Load balancing option size +is resizing cells on a node, and pairs redistributes the +cell-cell interactions over nodes. Keyword reset will reset the +load balancing read from the restart file. The level of cell resizing +can be influenced with $factld$. The cells on the busiest node are +resized with a factor +
+
+ + + + + +
\begin{displaymath}
+\left( 1 - factld * { {T_{sync} \over n_p} - t^{min}_{sync} \over t_{wall}}
+\right)^{1\over 3}
+\end{displaymath} +(31.3)
+

+where $T_{sync}$ is the accumulated synchronization time of all nodes, +$n_p$ is the total number of nodes, +$t^{min}_{sync}$ is the synchronization +time of the busiest node, and $t_{wall}$ is the wall clock time of the +molecular dynamics step. +For the combined load balancing, ldpair is the number of successive pair +redistribution load balancing steps in which the accumulated synchronization +time increases, before a resizing load balancing step will be attempted. +Load balancing is only performed in molecular dynamics steps in which the +pair-list is updated. The default load balancing is equivalent to specifying +
+load pairs 10 size 0.75
+
+Keyword last specifies that the load balancing is based on the +synchronization times of the last step. This is the default. +Keyword average specifies that the load balancing is based on the +average synchronization times since the last load balancing step. +Keyword minimum specifies that the load balancing is based on the +minimum synchronization times since the last load balancing step. +Keywords combination, iotime and experimental are +experimental load balancing options that should not be used in +production runs. + +

+

+
+
+(pack | nopack)
+
+specifies if data are communicated in packed or unpacked form. The +default is pack. + +

+

+
+
+procs <integer npx> <integer npy> <integer npz>
+
+specifies the distribution of the available processors over the three +Cartesian dimensions. The default distribution is chosen such that, +<npx>$*$<npy>$*$<npz>=<np> +and <npx> $<=$ <npy> $<=$ <npz>, +where <npx>, <npy> and <npz> are the processors in the +x, y and z dimension respectively, and <np> is the number of processors +allocated for the calculation. Where more than one combination +of <npx>, <npy> and <npz> are possible, the +combination is chosen with the minimum value of +<npx>$+$<npy>$+$<npz>. To change the default setting +the following optional input option is provided. + +

+

+
+
+cells <integer nbx> <integer nby> <integer nbz>
+
+specifies the distribution of cells, +where <nbx>, <nby> and <nbz> are the number of +cells in x, y and z direction, respectively. +The molecular system is decomposed into cells that form the smallest +unit for communication of atomic data between nodes. The size of the +cells is per default set to the short-range cutoff radius. If +long-range cutoff radii are used the cell size is set to half the +long-range cutoff radius if it is larger than the short-range cutoff. +If the number of cells in a dimension is less than the number of +processors in that dimension, the number of cells is set to the number +of processors. + +

+

+
+
+extra <integer madbox>
+
+sets the number of additional cells for which memory is allocated. +In rare events the amount of memory set aside per node is insufficient +to hold all atomic coordinates assigned to that node. This leads to +execution which aborts with the message that mwm or msa is too +small. Jobs may be restarted with additional space allocated by +where <madbox> is the number of additional cells that are allocated +on each node. The default for <madbox> is 6. +In some cases <madbox> can be reduced to 4 if memory usage is a +concern. Values of 2 or less will almost certainly result in memory +shortage. + +

+

+
+
+mwm <integer mwmreq>
+
+sets the maximum number of solvent molecules <mwmreq> per node, +allowing increased memory to be allocated for solvent molecules. This +option can be used if execution aborted because mwm was too +small. + +

+

+
+
+msa <integer msareq>
+
+sets the maximum number of solute atoms <msareq> per node, +allowing increased memory to be allocated for solute atoms. This +option can be used if execution aborted because msa was too +small. + +

+

+
+
+mcells <integer mbbreq>
+
+sets the maximum number of cell pairs <mbbreq> per node, +allowing increased memory to be allocated for the cell pair lists. +This option can be used if execution aborted because mbbl was too +small. + +

+

+
+
+boxmin <real rbox>
+
+sets the minimum size of a cell. This directive is obsolete. The +use of mcells is preferred. + +

+

+
+
+segmentsize <real rsgm>
+
+sets the maximum size of a segment. This value is used to determine +which segments at the boundary of the cutoff radius should be considered +in the generation of the pairlists. This value is also determined by the +prepare module and written to the restart file. Use of this directive +is not needed for simulations that use the current prepare module to +generate the restart file. + +

+

+
+
+memory <integer memlim>
+
+sets a limit <memlim> in kB on the allocated amount of memory used by +the molecular dynamics module. +Per default all available memory is allocated. Use of this command +is required for QM/MM simulations only. + +

+

+
+
+expert
+
+enables the use of certain combinations of features that are considered +unsafe. This directive should not be used for production runs. + +

+

+
+
+develop <integer idevel>
+
+enables the use of certain development options specified by the +integer idevel. This option is for development purposes only, +and should not be used for production runs. + +

+

+
+
+control <integer icntrl>
+
+enables the use of certain development options specified by the +integer icntrl. This option is for development purposes only, +and should not be used for production runs. + +

+

+
+
+numerical
+
+writes out analytical and finite difference forces for test purposes. + +

+

+
+
+server <string servername> <integer serverport>
+
+allows monitoring over a socket connection to the specified port on the +named server of basic data as a simulation is running. + +

+

+
+
For development purposes debug information can be written to the debug +file with extension dbg with +
+debug <integer idebug>
+
+where $idebug$ specifies the type of debug information being written. + +

+

+
+
For testing purposes test information can be written to the test +file with extension tst with +
+test <integer itest>
+
+where $itest$ specifies the number of steps test information is written. + +

+

+
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 32. Analysis + Up: user + Previous: 30. Prepare +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node34.html b/web/doc/user.4.6/node34.html new file mode 100644 index 0000000000..e43d61172b --- /dev/null +++ b/web/doc/user.4.6/node34.html @@ -0,0 +1,871 @@ + + + + + +32. Analysis + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 33. Combined quantum and + Up: user + Previous: 31. Molecular dynamics +   Contents +
+
+ + +Subsections + + + +
+ +

+32. Analysis +

+ + +

+The analysis module is used to analyze molecular trajectories generated +by the NWChem molecular dynamics module, or partial charges generated +by the NWChem electrostatic potential fit module. This module should +not de run in parallel mode. + +

+Directives for the analysis module are read from an input deck, + +

+

+analysis
+ ...
+end
+
+ +

+The analysis is performed as post-analysis of trajectory files through +using the task directive + +

+

+task analysis
+
+or +
+task analyze
+
+ +

+ +

+32.1 System specification +

+ +

+

+system <string systemid>_<string calcid>
+
+ +

+where the strings systemid and calcid are user defined names +for the chemical system and the type of calculation to ber performed, +respectively. These names are used to derive the filenames used for the +calculation. The topoly file used will be systemid.top, while all +other files are named systemid_calcid.ext. + +

+ +

+32.2 Reference coordinates +

+ +

+Most analyses require a set of reference coordinates. These +coordinates are read from a NWChem restart file by the directive, + +

+

+reference <string filename>
+
+ +

+where filename is the name of an existing restart file. +This input directive is required. + +

+ +

+32.3 File specification +

+ +

+The trajectory file(s) to be analyzed are specified with + +

+

+file <string filename> [<integer firstfile> <integer lastfile>]
+
+ +

+where filename is an existing trj trajectory file. +If firstfile and lastfile are specified, the specified +filename needs to have a ? wild card character that will +be substituted by the 3-character integer number from firstfile +to lastfile, and the analysis will be performed on the series +of files. +For example, + +

+

+file tr_md?.trj 3 6
+
+ +

+will instruct the analysis to be performed on files tr_md003.trj, +tr_md004.trj, tr_md005.trj and tr_md006.trj. + +

+From the specified files the subset of frames to be analyzed is +specified by + +

+

+frames [<integer firstframe default 1>] <integer lastframe> \
+       [<integer frequency default 1>]
+
+ +

+For example, to analyze the first 100 frames from the specified +trajectory files, use + +

+

+frames 100
+
+ +

+To analyze every 10-th frame between frames 200 and 400 recorded on +the specified trajectory files, use + +

+

+frames 200 400 10
+
+ +

+Solute coordinates of the reference set and ech subsequent frame +read from a trajectory file are translated to have the center of +geometry of the specified solute molecule at the center of the +simulation box. After this translation all molecules are folded +back into the box according to the periodic boundary conditions. +The directive for this operation is + +

+

+center <integer imol> [<integer jmol default imol>]
+
+ +

+Coordinates of each frame read from a trajectory file can be +rotated using + +

+

+rotate ( off | x | y | z ) <real angle units degrees>
+
+ +

+If center was defined, rotation takes place after +the system has been centered. The rotate directives +only apply to frames read from the trajectory files, and not +to the reference coordinates. Upto 100 rotate directives +can be specified, which will be carried out in the order in which +they appear in the input deck. rotate off cancels all +previously defined rotate directives. + +

+To perform a hydrogen bond analysis: + +

+

+hbond [distance [[<real rhbmin default 0.0>] <real rhbmin>]] \
+      [angle [<real hbdmin> [ <real hbdmax default pi>]]] \
+      [solvent [<integer numwhb>]]
+
+ +

+ +

+32.4 Selection +

+ +

+Analyses can be applied to a selection of solute atoms and solvent molecules. +The selection is determined by + +

+

+select ( [ super ] [ { <string atomlist> } ] |
+	solvent <real range> | save <string filename> | read <string filename> )
+
+ +

+where {atomlist} is the set of atom names selected from the specified residues. +By default all solute atoms are selected. When keyword super is specified the selecion +applies to the superimposition option. + +

+The selected atoms are specified by the string atomlist which +takes the form + +

+

+[{isgm [ - jsgm ] [,]} [:] [{aname[,]}]
+
+where isgm and jsgm are the first and last residue numbers, +and aname is an atom name. In the atomname a question mark may be +used as a wildcard character. + +

+For example, all protein backbone atoms are selected by + +

+

+select _N,_CA,_C
+
+ +

+To select the backbone atoms in residues 20 to 80 and 90 to 100 only, use + +

+

+select 20-80,90-100:_N,_CA,_C
+
+ +

+This selection is reset to apply to all atoms after each file +directive. + +

+Solvent molecules within range nm from any selected solute atom +are selected by + +

+

+select solvent <real range>
+
+ +

+After solvent selection, the solute atom selection is reset to being all +selected. + +

+The current selection can be saved to, or read from a file using the +save and read keywords, respectively. + +

+Some analysis are performed on groups of atoms. These groups of atoms +are defined by + +

+

+define <integer igroup> [<real rsel>] [solvent] { <string atomlist> }
+
+ +

+The string atom in this definitions again takes the form + +

+

+[{isgm [ - jsgm ] [,]} [:] [{aname[,]}]
+
+where isgm and jsgm are the first and last residue numbers, +and aname is an atom name. In the atomname a question mark may be +used as a wildcard character. + +

+Multiple define directive can be used to define a single set of atoms. + +

+ +

+32.5 Coordinate analysis +

+ +

+To analyze the root mean square deviation from the specified reference +coordinates: + +

+

+rmsd
+
+ +

+To analyze protein $\phi$-$\psi$ and backbone hydrogen bonding: + +

+

+ramachandran
+
+ +

+To define a distance: + +

+

+distance <integer ibond> <string atomi> <string atomj>
+
+ +

+To define an angle: + +

+

+angle <integer iangle> <string atomi> <string atomj> <string atomk>
+
+ +

+To define a torsion: + +

+

+torsion <integer itorsion> <string atomi> <string atomj> \
+                       <string atomk> <string atoml>
+
+ +

+To define a vector: + +

+

+vector <integer ivector> <string atomi> <string atomj>
+
+ +

+The atom string in these definitions takes the form + +

+

+<integer segment>:<string atomname> | w<integer molecule>:<string atomname>
+
+ +

+for solute and solvent atom specification, respectively. + +

+To define charge distribution in z-direction: + +

+

+charge_distribution <integer bins>
+
+ +

+Analyses on atoms in a predefined group are specified by + +

+

+group [<integer igroup> [periodic <integer ipbc>] \
+      ( local [<real rsel default 0.0>] [<real rval default rsel>]
+        <string function> )
+
+where igroup specifies the group of atoms defined with a +define directive. Keyword periodic can be used to +specify the periodicity, ipbc=1 for periodicity in z, +ipbc=2 for periodicity in x and y, and +ipbc=3 for periodicity in x, y and z. +Currently the only option is local which prints all selected +solute atom with a distance between rsel and rval from +the atoms defined in igroup. The actual analysis is done by the +scan deirective. A formatted report is printed from +group analyses using + +

+

+report <string filename> local
+
+ +

+Analyses on pairs of atoms in predefined groups are specified by + +

+

+groups [<integer igroup> [<integer jgroup>]] [periodic [<integer ipbc default 3>]] \ 
+       <string function> [<real value1> [<real value2>]] [<string filename>]
+
+ +

+where $igroup$ and $jgroup$ are groups of atoms defined with a +define directive. Keyword periodic specifies that +periodic boundary conditions need to be applied in $ipbc$ dimensions. +The type of analysis is define by $function$, $value1$ and $value2$. +If $filename$ is specified, the analysis is applied to the reference +coordinates and written to the specified file. If no filename is +given, the analysis is applied to the specified trajectory and +performed as part of the scan directive. +Implemented analyses defined by +<string function> [<real value1> [<real value2>]] include +
+
distance to calculate the distance between the centers of geometry of the +two specified groups of atoms, and +
distances to calculate all atomic distances between atoms +in the specified groups that lie between $value1$ and $value2$. + +

+Coordinate histograms are specified by + +

+

+histogram <integer idef> [<integer length>] zcoordinate <string filename>
+
+ +

+where $idef$ is the atom group definition number, $length$ is the size +of the histogram, zcoordinate is the currently only histogram option, +and $filename$ is the filname to which the histogram is written. + +

+Order parameters are evalated using + +

+

+order <integer isel> <integer jsel> <string atomi> <string atomj>
+
+This is an experimental feature. + +

+To write the average coordinates of a trajectory + +

+

+average [super] <string filename>
+
+ +

+To perform the coordinate analysis: + +

+

+scan [ super ] <string filename>
+
+ +

+which will create, depending on the specified analysis options +files filename.rms and filename.ana. After the scan directive +previously defined coordinate analysis options are all reset. +Optional keyword super specifies that frames read from +the trajectory file(s) are superimposed to the reference structure +before the analysis is performed. + +

+ +

+32.6 Essential dynamics analysis +

+ +

+Essential dynamics analysis is performed by + +

+

+essential
+
+ +

+This can be followed by one or more + +

+

+project <integer vector> <string filename>
+
+ +

+to project the trajectory onto the specified vector. This will +create files filename with extensions frm or trj, val, vec, _min.pdb +and _max.pdb, with the projected trajectory, the projection +value, the eigenvector, and the minimum and maximum projection +structure. + +

+For example, an essential dynamics analysis with projection onto +the first vector generating files firstvec.{trj, val, vec, _min.pdb, _max.pdb} +is generated by + +

+

+essential
+project 1 firstvec
+
+ +

+ +

+32.7 Trajectory format conversion +

+ +

+To write a single frame in PDB or XYZ format, use + +

+

+write [<integer number default 1>] [super] [solute] <string filename>
+
+ +

+To copy the selected frames from the specified trejctory file(s), +onto a new file, use + +

+

+copy  [solute] [rotate <real tangle>] <string filename>
+
+ +

+To superimpose the selected atoms for each specified frame to the +reference coordinates before copying onto a new file, use + +

+

+super [solute] [rotate <real tangle>] <string filename>
+
+ +

+The rotate directive specifies that the structure will make +a full ratation every tangle ps. This directive only has effect when +writing povray files. + +

+The format of the new file is determined from the extension, which +can be one of + +

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ambAMBER formatted trajectory file (obsolete)
arcDISCOVER archive file
bamAMBER unformatted trajectory file
crdAMBER formatted trajectory file
dcdCHARMM formatted trajectory file
espgOpenMol formatted electrostatic potential files
frmecce frames file (obsolete)
povpovray input files
trjNWChem trajectory file
+ +

+If no extension is specified, a trj formatted file will be written. + +

+A special tag can be added to frm and pov formatted files using + +

+

+label <integer itag> <string tag>  [ <real rval default 1.0> ] \\
+    [ <integer iatag> [ <integer jatag default iatag> ] [ <real rtag default 0.0> ] ]
+    [ <string anam> ]
+
+ +

+where tag number $itag$ is set to the string $tag$ for all atoms +anam within a distance $rtag$ from segments $iatag$ through $jatag$. +A question mark can be used in anam as a wild card character. + +

+Atom rendering is specified using + +

+

+render ( cpk | stick )  [ <real rval default 1.0> ] \\
+    [ <integer iatag> [ <integer jatag default iatag> ] [ <real rtag default 0.0> ] ]
+    [ <string anam> ]
+
+ +

+for all atoms anam within a distance $rtag$ from segments $iatag$ through $jatag$, +and a scaling factor of $rval$. A question mark can be used in anam as a wild card +character. + +

+Atom color is specified using + +

+

+color ( <string color> | atom ) \\
+    [ <integer iatag> [ <integer jatag default iatag> ] [ <real rtag default 0.0> ] ]
+    [ <string anam> ]
+
+ +

+for all atoms anam within a distance $rtag$ from segments $iatag$ through $jatag$. +A question mark can be used in anam as a wild card character. + +

+For example, to display all carbon atoms in segments 34 through 45 +in green and rendered cpk in povray files can be specified with + +

+

+render cpk 34 45 _C??
+color green 34 45 _C??
+
+ +

+Coordinates written to a pov file can be scaled using + +

+

+scale <real factor>
+
+ +

+A zero or negative scaling factor will scale the coordinates to +lie within [-1,1] in all dimensions. + +

+The cpk rendering in povray files can be scaled by + +

+

+cpk <real factor default 1.0>
+
+ +

+The stick rendering in povray files can be scaled by + +

+

+stick <real factor default 1.0>
+
+ +

+The initial sequence number of esp related files is defined by + +

+

+index <integer index default 1>
+
+ +

+ +

+32.8 Electrostatic potentials +

+ +

+A file in plt format of the electrostatic potential resulting +from partial charges generated by the ESP module is generated +by the command + +

+

+esp  [ <integer spacing default 10> ] \
+     [ <real rcut default 1.0> ] [periodic [<integer iper default 3>]] \
+     [ <string xfile> [ <string pltfile> ] ]
+
+ +

+The input coordinates are taken from the xyzq file that can +be generated from a rst by the prepare module. Parameter +spacing specifies the number of gridpoints per nm, rcut specifies +extent of the charge grid beyond the molecule. +Periodic boundaries will be used if periodic +is specified. If iper is set to 2, periodic boundary +conditions are applied in x and y dimensions only. If periodic +is specified, a negative value of rcut will extend the grid +in the periodic dimensions by abs(rcut), otherwise this value +will be ignored in the periodic dimensions. +The resulting plt formatted file pltfile can be +viewed with the gOpenMol program. The resulting electrostatic +potential grid is in units of kJ mol$^{-1}$e$^{-1}$. +If no files are specified, only the parameters are set. This +analysis applies to solute(s) only. + +

+


+ + +next + +up + +previous + +contents +
+ Next: 33. Combined quantum and + Up: user + Previous: 31. Molecular dynamics +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node35.html b/web/doc/user.4.6/node35.html new file mode 100644 index 0000000000..3f695ddfcc --- /dev/null +++ b/web/doc/user.4.6/node35.html @@ -0,0 +1,211 @@ + + + + + +33. Combined quantum and molecular mechanics + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 34. File formats + Up: user + Previous: 32. Analysis +   Contents +
+
+ + +

+33. Combined quantum and molecular mechanics +

+ +

+ +

+Combined or hybrid Quantum Mechanics and Molecular Mechanics (QM/MM) +is a simulation methodology that is about 15 years old but in all the +literature there are cautions that calibration computations must be +done to validate the model for each particular chemical system +studied. This is not a black box style computation and the NWChem +users are advised that without calibration QM/MM may not give the +appropriate results33.1. + +

+The QM/MM module in NWChem is driven by the molecular dynamics module. +This module currently works for any QM method that has +analytic gradients33.2. The input +for this requires the definition of chemical system via the same +interface that is used by the MD module (c.f. Section +31). The extensions to this interface include the +definition of ``Quantum'' atoms and ``Link'' where appropriate. The +QM information must be present in the traditional NWChem input deck +except for the geometry33.3. The geometrical information will +be constructed automatically by nwmd. For dynamics and free energy +simulations the input is again identical to that for nwmd with +limitations on the kinds of simulations that can be done. +Link atoms are defined by the molecular dynamics module, based on +the specification of the quantum atoms in the prepare module. For +the link atoms, basis sets X_L need to be defined in the +basis set input block. + +

+The QM/MM module is invoked with the task directive where the +``theory'' is QMMM. The recognized operations on the QM/MM theory +directive are energy, optimize, and dynamics. + +

+

+  task qmmm (energy | optimize | dynamics)
+
+ +

+Tasks gradient, saddle, frequencies and +thermodynamics are currently not available in the QM/MM mode. + +

+The QM/MM input consists of the standard NWChem input block: +

+  qmmm
+    ...
+  end
+
+ +

+The qmmm has the following the additional sub-directive that the user +may specify for the particular simulation. These options currently are: + +

+ +

    +
  • +eatoms < real eatoms>
    +
    + +

    +There is one compound input directive that must exist for the QM/MM +simulation to proceed. This sets the relative zero of energy for the +QM component of the system. It is not incorrect to leave this value as +zero but the energetics of the QM system will likely over shadow the +MM component of the system. Properties based on energy fluctuations +of the system will be overly sensitive to the energy of the QM +component of the system. The zero of energy for the MM system is by +definition of most parameterized force fields the separated atom +energy. The zero of energy for QM systems by definition of most QM +methods is the vacuum. The a priori determination of the +separated atom energy for a particular QM method is not well defined +and thus leads to a number of assumptions or guess work depending upon +the particular QM method being utilized. Therefor, the determination +of the QM separated atom energy (``eatoms'') is left to the user. +There is no default for this and the input must be present for a +QM/MM simulation. + +

    +

  • +
  • +qatoms < real qatoms>
    +
    + +

    +This input directive is used to specify the total charge on the set +of quantum atoms. + +

    +

  • +
  • +link hydrogen
    +
    + +

    +This directive specified to use hydrogens as link atoms. The default +is to use the next group VII atom. + +

    +

  • +
  • +nobq ( hydrogen | all | none )
    +
    + +

    +This directive specifies that hydrogen atoms, all atoms, or no atoms, +respectively, bonded to link atoms will carry a zero charge in the +QM part of the calculation. + +

    +

  • +
+All other parameters that control the QM/MM simulation are set via the +input to nwmd (see chapter 31). + +

+


+ + +next + +up + +previous + +contents +
+ Next: 34. File formats + Up: user + Previous: 32. Analysis +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node36.html b/web/doc/user.4.6/node36.html new file mode 100644 index 0000000000..9effa7db5e --- /dev/null +++ b/web/doc/user.4.6/node36.html @@ -0,0 +1,457 @@ + + + + + +34. File formats + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 35. Pseudopotential plane-wave density + Up: user + Previous: 33. Combined quantum and +   Contents +
+
+ + +

+34. File formats +

+ +

+

+
+ + + +
Table 34.1: +The format of fragment files.
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
CardFormatDescription
I-1-1a1$ to identify the start of a fragment
I-1-2a10name of the fragment, the tenth character
  N: identifies beginning of a chain
  C: identifies end of a chain
  blank: identifies chain fragment
  M: identifies an integral molecule
I-2-1i5number of atoms in the fragment
For each atom one deck II  
II-1-1i5atom sequence number
II-1-2a6atom name
II-1-3a5atom type
II-1-4a1dynamics type
   : normal
  D : dummy atom
  S : solute interactions only
  Q : quantum atom
  other : intramolecular solute interactions only
II-1-5i5link number
  0: no link
  1: first atom in chain
  2: second atom in chain
  3 and up: other links
II-1-6i5environment type
  0: no special identifier
  1: planar, using improper torsion
  2: tetrahedral, using improper torsion
  3: tetrahedral, using improper torsion
  4: atom in aromatic ring
II-1-7i5charge group
II-1-8i5polarization group
II-1-9f12.6atomic partial charge
II-1-10f12.6atomic polarizability
Any number of cards in deck III to specify complete +connectivity  
III-1-116i5connectivity, duplication allowed
+ +
+

+
+ +

+

+
+ + + +
Table 34.2: +Segment file format, table 1 of 6.
\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...mproper dihedrals in the segment\\
+\hline
+\end{tabular*}\end{center}\end{table}
+

+
+ +

+

+
+ + + +
Table 34.3: +Segment file format, table 2 of 6.
\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...\pi\epsilon_o$\ in nm$^3$, set 3\\
+\hline
+\end{tabular*}\end{center}\end{table}
+

+
+ +

+

+
+ + + +
Table 34.4: +Segment file format, table 3 of 6.
\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...in kJ nm$^2$\ mol$^{-1}$, set 3 \\
+\hline
+\end{tabular*}\end{center}\end{table}
+

+
+ +

+

+
+ + + +
Table 34.5: +Segment file format, table 4 of 6.
\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...onstant in kJ mol$^{-1}$, set 3 \\
+\hline
+\end{tabular*}\end{center}\end{table}
+

+
+ +

+

+
+ + + +
Table 34.6: +Segment file format, table 5 of 6.
\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...onstant in kJ mol$^{-1}$, set 3 \\
+\hline
+\end{tabular*}\end{center}\end{table}
+

+
+ +

+

+
+ + + +
Table 34.7: +Segment file format, table 6 of 6.
\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...t in kJ mol$^{-1}$, set 3 \\
+\hline\hline
+\end{tabular*}\end{center}\end{table}
+

+
+ +

+

+
+ + + +
Table 34.8: +Sequence file format.
\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...II to specify the system} \\
+\hline\hline
+\end{tabular*}\end{center}\end{table}
+

+
+ +

+

+
+ + + +
Table 34.9: +Trajectory file format.
\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...e atom velocities, if lvs \\
+\hline\hline
+\end{tabular*}\end{center}\end{table}
+

+
+ +

+

+
+ + + +
Table 34.10: +Free energy file format.
\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...rgy at current $\lambda$\ \\
+\hline\hline
+\end{tabular*}\end{center}\end{table}
+

+
+ +

+

+
+ + + +
Table 34.11: +Root mean square deviation file format.
\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...ion after superimposition \\
+\hline\hline
+\end{tabular*}\end{center}\end{table}
+

+
+ +

+

+
+ + + +
Table 34.12: +Property file format.
\begin{table}\begin{center}
+\begin{tabular*}{150mm}{p{15mm}p{12mm}l}
+\hline\hlin...
+...12.5) & value of property \\
+\hline\hline
+\end{tabular*}\end{center}\end{table}
+

+
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 35. Pseudopotential plane-wave density + Up: user + Previous: 33. Combined quantum and +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node37.html b/web/doc/user.4.6/node37.html new file mode 100644 index 0000000000..21529e2e0d --- /dev/null +++ b/web/doc/user.4.6/node37.html @@ -0,0 +1,4189 @@ + + + + + +35. Pseudopotential plane-wave density functional theory (NWPW) + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 36. Controlling NWChem with + Up: user + Previous: 34. File formats +   Contents +
+
+ + +Subsections + + + +
+ +

+35. Pseudopotential plane-wave density functional theory (NWPW) +

+ +

+ +

+The NWChem plane-wave (NWPW) module uses pseudopotentials and +plane-wave basis sets to perform Density Functional Theory +calculations. This module complements the capabilities of the more +traditional Gaussian function based approaches by having an accuracy at least as good +for many applications, yet is still fast enough to treat systems containing hundreds of +atoms. Another significant advantage is its ability to simulate +dynamics on a ground state potential surface directly at run-time +using the Car-Parrinello algorithm. This method's efficiency and +accuracy make it a desirable first principles method of simulation in +the study of complex molecular, liquid, and solid state systems. +Applications for this first principles method include the calculation +of free energies, search for global minima, explicit simulation of +solvated molecules, and simulations of complex vibrational modes that +cannot be described within the harmonic approximation. + +

+The NWPW module is a collection of three modules. + +

    +
  • PSPW - (PSeudopotential Plane-Wave) A gamma point code for + calculating molecules, liquids, crystals, and surfaces. +
  • +
  • Band - A band structure code for calculating + crystals and surfaces with small band gaps (e.g. semi-conductors + and metals). +
  • +
  • PAW - a prototype (gamma point) projector augmented plane-wave code + for calculating molecules, crystals, and surfaces +
  • +
+The PSPW, Band, and PAW modules can be used to compute the energy and optimize the +geometry. Both the PSPW and Band modules can also be used to find saddle points, and +compute numerical second derivatives. In addition the PSPW module can also be used +to perform Car-Parrinello molecular dynamics. + +

+Section 35.1 describes the tasks contained within the +PSPW module, section 35.2 describes the tasks +contained within the Band module, section 35.3 describes +the tasks contained within the PAW module, and section 35.4 +describes the pseudopotential library included with NWChem. The +datafiles used by the PSPW module are described in section +35.5. Car-Parrinello output data files are described +in section 35.5.7, and the minimization and +Car-Parrinello algorithms are described in +section 35.6. +Examples of how +to setup and run a PSPW geometry optimization, a Car-Parrinello +simulation, a band structure minimization, and a PAW geometry +optimization are presented in sections 35.7, 35.8, and +35.10, and 35.11. +Finally in section 35.12 the capabilities and limitations of the NWPW module are discussed. + +

+If you are a first time user of this module it is recommended that you skip the next five sections and proceed directly to the tutorials in sections +35.7-35.11. + +

+ +

+ +
+35.1 PSPW Tasks +

+ +

+All input to the PSPW Tasks is contained within the compound PSPW block, +

+PSPW
+   ...
+END
+
+ +

+To perform an actual calculation a TASK PSPW directive is used +(Section 5.10). +

+  TASK PSPW
+
+In addition to the directives listed in Section 5.10, i.e. +
+TASK pspw energy          
+TASK pspw gradient         
+TASK pspw optimize         
+TASK pspw saddle           
+TASK pspw freqencies       
+TASK pspw vib
+
+there are additional directives that are specific to the PSPW module, which are: +
+TASK PSPW [Car-Parrinello             ||
+           pspw_dplot                 ||
+           wannier                    ||
+           psp_generator              ||
+           steepest_descent           ||
+           psp_formatter              ||
+           wavefunction_initializer   ||
+           v_wavefunction_initializer ||
+           wavefunction_expander       ]
+
+ +

+Once a user has specified a geometry, the PSPW module can be invoked +with no input directives (defaults invoked throughout). However, the +user will probably always specify the simulation cell used in the +computation, since the default simulation cell is not well suited for +most systems. There are sub-directives which allow for customized +application; those currently provided as options for the PSPW module are: +

+PSPW
+  CELL_NAME <string cell_name default 'cell_default'>
+  INPUT_WAVEFUNCTION_FILENAME  <string input_wavefunctions  default input_movecs>
+  OUTPUT_WAVEFUNCTION_FILENAME <string output_wavefunctions default input_movecs>
+  FAKE_MASS <real fake_mass default 400000.0>
+  TIME_STEP <real time_step default 5.8>
+  LOOP <integer inner_iteration outer_iteration default 10 100>
+  TOLERANCES <real tole tolc default 1.0e-7 1.0e-7>
+  ENERGY_CUTOFF       <real ecut default (see input description)>
+  WAVEFUNCTION_CUTOFF <real wcut default (see input description)>
+  EWALD_NCUT <integer ncut default 1>]
+  EWALD_RCUT <real rcut default (see input description)>
+  XC (Vosko || PBE96  default Vosko)
+  DFT||ODFT||RESTRICTED||UNRESTRICTED
+  MULT <integer mult default 1>
+  MULLIKEN
+  ALLOW_TRANSLATION
+
+  SIMULATION_CELL            ... (see input description) END
+  DPLOT                      ... (see input description) END
+  WANNIER                    ... (see input description) END
+  CAR-PARRINELLO             ... (see input description) END
+  PSP_GENERATOR              ... (see input description) END
+  WAVEFUNCTION_INITIALIZER   ... (see input description) END
+  V_WAVEFUNCTION_INITIATIZER ... (see input description) END
+  WAVEFUNCTION_EXPANDER      ... (see input description) END
+  STEEPEST_DESCENT           ... (see input description) END
+END
+
+ +

+The following list describes the keywords contained in the PSPW input block. + +

    +
  • $<$cell_name$>$ - name of + the simulation_cell named $<$cell_name$>$. See section 35.1.1. +
  • +
  • $<$input_wavefunctions$>$ - name of the + file containing one-electron orbitals +
  • +
  • $<$output_wavefunctions$>$ - name of the + file that will contain the one-electron orbitals at the + end of the run. +
  • +
  • $<$fake_mass$>$ - value for the electronic + fake mass ($\mu$). This parameter is not presently used in a + conjugate gradient simulation +
  • +
  • $<$time_step$>$ - value for the time step ($\Delta t$). This + parameter is not presently used in a conjugate gradient simulation. +
  • +
  • $<$inner_iteration$>$ - number of iterations between the + printing out of energies and tolerances +
  • +
  • $<$outer_iteration$>$ - number of outer iterations +
  • +
  • $<$tole$>$ - value for the energy tolerance. +
  • +
  • $<$tolc$>$ - value for the one-electron orbital tolerance. +
  • +
  • $<$edit$>$ - value for the cutoff energy used + to define the density. Default is set + to be the maximum value that will fit + within the simulation_cell $<$cell_name$>$. +
  • +
  • $<$wcut$>$ - value for the cutoff energy used + to define the one-electron orbitals. + Default is set to be the maximum value that + will fit within the simulation_cell $<$cell_name$>$. +
  • +
  • $<$ncut$>$ - value for the number of unit cells + to sum over (in each direction) for the real space + part of the Ewald summation. Note Ewald summation + is only used if the simulation_cell is periodic. +
  • +
  • $<$rcut$>$ - value for the cutoff radius used + in the Ewald summation. Note Ewald summation + is only used if the simulation_cell is periodic. +
    +Default set to be + +$\frac{MIN(\left\vert \vec{a_i} \right\vert)}{\pi}, i=1,2,3$. +
  • +
  • (Vosko $\vert\vert$ PBE96) - Choose between Vosko et al's LDA + parameterization or the Perdew, Burke, + and Ernzerhof GGA functional. +
  • +
  • MULT - optional keyword which if specified allows the user to define the spin multiplicity + of the system +
  • +
  • MULLIKEN - optional keyword which if specified + causes a Mulliken analysis to be performed at + the end of the simulation. +
  • +
  • ALLOW_TRANSLATION - By default the the center of mass forces are projected out of the + computed forces. This optional keyword if specified allows the + center of mass forces to not be zero. + +

    +

  • +
  • SIMULATION_CELL (see section 35.1.1) +
  • +
  • DPLOT (see section 35.1.3) +
  • +
  • WANNIER (see section 35.1.4) +
  • +
  • CAR-PARRINELLO(see section 35.1.7) +
  • +
  • PSP_GENERATOR (see section 35.1.9) +
  • +
  • WAVEFUNCTION_INITIALIZER (see section 35.1.10) +
  • +
  • V_WAVEFUNCTION_INITIALIZER (see section 35.1.11) +
  • +
  • WAVEFUNCTION_EXPANDER (see section 35.1.12). +
  • +
  • STEEPEST_DESCENT (see section 35.1.13) +
  • +
+ +

+A prototype limited memory BFGS (LMBFGS) minimizer can be used to minimize the energy. To +use this new optimizer the following SET directive needs to be specified: +

+set nwpw:mimimizer 1  # Default - Grassman conjugate gradient minimizer is used to minimize the energy.
+set nwpw:mimimizer 2  # Grassman LMBFGS minimimzer is used to minimize the energy.
+set nwpw:minimizer 4  # Stiefel conjugate gradient minimizer is used to minimize the energy. 
+set nwpw:minimizer 5  # Band-by-band minimizer is used to minimize the energy.
+
+Limited testing suggests that the Grassman LMBFGS minimizer is about twice as fast as +the conjugate gradient minimizer. However, there are several known cases +where this optimizer fails, so it is currently not a default option, and +should be used with caution. + +

+In addition the following SET directives can be specified: +

+set nwpw:lcao_skip .false. # Default - initial wavefunctions generated using an LCAO guess. 
+set nwpw:lcao_skip .true.  # Initial wavefunctions generated using a random plane-wave guess.
+
+set nwpw:lcao_print .false. # Default - Ouput not produced during the generation of the LCAO guess. 
+set nwpw:lcao_print .true.  # Output produced during the generation of the LCAO guess.
+
+set nwpw:lcao_iterations 2  #specifies the number of LCAO iterations
+
+ +

+ +

+ +
+35.1.1 Simulation Cell +

+The simulation cell parameters +are entered by defining a simulation_cell sub-block within the PSPW +block. Listed below is the format of a simulation_cell sub-block. +
+PSPW
+...
+   SIMULATION_CELL
+      CELL_NAME <string name default 'cell_default'>
+      BOUNDARY_CONDITIONS (periodic || aperiodic default periodic)
+      LATTICE_VECTORS
+        <real a1.x a1.y a1.z default 20.0  0.0  0.0>
+        <real a2.x a2.y a2.z default  0.0 20.0  0.0>
+        <real a3.x a3.y a3.z default  0.0  0.0 20.0>
+      NGRID <integer na1 na2 na3 default 32 32 32>
+   END
+...
+END
+
+Basically, the user needs to enter the dimensions, gridding and boundary +conditions of the simulation cell. The following list describes the +input in detail. + +
    +
  • $<$name$>$ - user-supplied name for the simulation block. +
  • +
  • periodic - keyword specifying that the simulation cell + has periodic boundary conditions. +
  • +
  • aperiodic - keyword specifying that the simulation cell + has free-space boundary conditions. +
  • +
  • $<$a1.x a1.y a1.z$>$ - user-supplied values for the first + lattice vector +
  • +
  • $<$a2.x a2.y a2.z$>$ - user-supplied values for the second + lattice vector +
  • +
  • $<$a3.x a3.y a3.z$>$ - user-supplied values for the third + lattice vector +
  • +
  • $<$na1 na2 na3$>$ - user-supplied values for discretization + along lattice vector directions. +
  • +
+ +

+Alternatively, instead of explicitly entering lattice vectors, users can +enter the unit cell using the standard cell parameters, a, b, c, $\alpha$, +$\beta$, and $\gamma$, by using the LATTICE block. The format for input +is as follows: +

+PSPW
+...
+   SIMULATION_CELL
+      ...
+      LATTICE
+        [lat_a <real a default 20.0>]
+        [lat_b <real b default 20.0>]
+        [lat_c <real c default 20.0>]
+        [alpha <real alpha default 90.0>]
+        [beta  <real beta  default 90.0>]
+        [gamma <real gamma default 90.0>]
+      END
+      ...
+   END
+...
+END
+
+ +

+The user can also enter the lattice vectors of standard unit cells using the +keywords SC, FCC, BCC, for simple cubic, face-centered cubic, and body-centered cubic +respectively. Listed below is an example of the format of this type of input. +

+PSPW
+...
+   SIMULATION_CELL
+      SC 20.0
+      ....
+   END
+...
+END
+
+ +

+Finally, the lattice vectors from the unit cell can also be defined using +the fractional coordinate input in the GEOMETRY input (see section 6.7). +Listed below is an example of the format of this type of input for an 8 atom silicon carbide unit cell. +

+geometry units au 
+  system crystal
+    lat_a 8.277d0
+    lat_b 8.277d0
+    lat_c 8.277d0
+    alpha 90.0d0
+    beta  90.0d0
+    gamma 90.0d0
+  end
+Si    -0.50000d0  -0.50000d0  -0.50000d0
+Si     0.00000d0   0.00000d0  -0.50000d0
+Si     0.00000d0  -0.50000d0   0.00000d0
+Si    -0.50000d0   0.00000d0   0.00000d0
+C     -0.25000d0  -0.25000d0  -0.25000d0
+C      0.25000d0   0.25000d0  -0.25000d0
+C      0.25000d0  -0.25000d0   0.25000d0
+C     -0.25000d0   0.25000d0   0.25000d0
+end
+
+ +

+ +

+ +
+35.1.2 Unit Cell Optimization +

+ +

+The PSPW module using the DRIVER geometry optimizer can optimize a crystal unit cell. +Currently this type of optimization works only if the geometry is specified in fractional +coordinates. The following SET directive is used to tell the DRIVER geometry optimizer to +optimize the crystal unit cell in addition to the geometry. +

+set includestress .true.
+
+ +

+ +

+ +
+35.1.3 DPLOT +

+The pspw dplot task is used to generate plots of various types of electron +densities (or orbitals) of a molecule. The electron density is calculated on the +specified set of grid points from a PSPW calculation. The output file +generated is in the Gaussian Cube format. +Input to the DPLOT task is contained +within the DPLOT sub-block. +
+PSPW
+  ...
+  DPLOT
+     ...
+  END
+  ...
+END
+
+To run a DPLOT calculation the following directive +is used: +
+TASK PSPW PSPW_DPLOT
+
+Listed below is the format of a DPLOT sub-block. +
+PSPW
+... 
+   DPLOT
+     VECTORS <string input_wavefunctions  default input_movecs>
+     DENSITY [total||difference||alpha||beta||laplacian||potential default total] <string density_name no default>
+     ELF [restricted|alpha|beta] <string elf_name no default>
+     ORBITAL <integer orbital_number no default> <string orbital_name no default>
+
+
+     [LIMITXYZ [units <string Units default angstroms>]
+     <real X_From> <real X_To> <integer No_Of_Spacings_X>
+     <real Y_From> <real Y_To> <integer No_Of_Spacings_Y>
+     <real Z_From> <real Z_To> <integer No_Of_Spacings_Z>]
+
+   END
+
+...
+END
+
+ +

+The following list describes the input for the DPLOT +sub-block. + +

+

+     VECTORS <string input_wavefunctions  default input_movecs>
+
+ This sub-directive specifies the name of the molecular orbital file. If the second file is optionally given the density is computed as the difference between the corresponding electron densities. The vector files have to match. + +

+

+     DENSITY [total||difference||alpha||beta||laplacian||potential default total] <string density_name no default>
+
+This sub-directive specifies, what kind of density is to be plotted. The known names for total, difference, alpha, beta, laplacian, and potential. + +

+

+     ELF [restricted|alpha|beta] <string elf_name no default>
+
+This sub-directive specifies that an electron localization function (ELF) is to be plotted. + +

+

+     ORBITAL <integer orbital_number no default> <string orbital_name no default>
+
+This sub-directive specifies the molecular orbital number that is to be plotted. + +

+

+     LIMITXYZ [units <string Units default angstroms>]
+     <real X_From> <real X_To> <integer No_Of_Spacings_X>
+     <real Y_From> <real Y_To> <integer No_Of_Spacings_Y>
+     <real Z_From> <real Z_To> <integer No_Of_Spacings_Z>
+
+By default the grid spacing and the limits of the cell to be plotted are defined by the input wavefunctions. Alternatively the user can use the LIMITXYZ sub-directive to specify other limits. The grid is generated using No_Of_Spacings + 1 points along each direction. The known names for Units are angstroms, au and bohr. + +

+ +

+ +
+35.1.4 Wannier +

+The pspw wannier task is generate maximally localized (Wannier) molecular orbitals. The +algorithm proposed by Silvestrelli et al is use to generate the Wannier orbitals. The +current version of this code works only for cubic cells. + +

+Input to the Wannier task is contained within the Wannier sub-block. +

+PSPW
+  ...
+  Wannier
+     ...
+  END
+  ...
+END
+
+To run a Wannier calculation the following directive +is used: +
+TASK PSPW Wannier
+
+Listed below is the format of a Wannier sub-block. +
+PSPW
+... 
+   Wannier
+     OLD_WAVEFUNCTION_FILENAME <string input_wavefunctions  default input_movecs>  
+     NEW_WAVEFUNCTION_FILENAME <string output_wavefunctions default input_movecs>
+   END
+...
+END
+
+The following list describes the input for the Wannier +sub-block. + +
    +
  • $<$input_wavefunctions$>$ - name of pspw wavefunction file. +
  • +
  • $<$output_wavefunctions$>$ - name of pspw wavefunction file that + will contain the Wannier orbitals. +
  • +
+ +

+ +

+ +
+35.1.5 Self-Interaction Corrections +

+ +

+The SET directive is used to specify the molecular orbitals +contribute to the self-interaction-correction (SIC) term. +

+set pspw:SIC_orbitals  <integer list_of_molecular_orbital_numbers>
+
+This defines only the molecular orbitals in the list as SIC active. All +other molecular orbitals will not contribute to the SIC term. + +

+For example the following directive specifies that the molecular orbitals numbered +1,5,6,7,8, and 15 are SIC active. +

+set pspw:SIC_orbitals  1 5:8 15
+
+or equivalently +
+set pspw:SIC_orbitals  1 5 6 7 8 15
+
+ +

+The following directive turns on self-consistent SIC. +

+set pspw:SIC_relax      .false.  # Default - Perturbative SIC calculation
+set pspw:SIC_relax      .true.   # Self-consistent SIC calculation
+
+ +

+Two types of solvers can be used and they are specified using the following +SET directive +

+set pspw:SIC_solver_type 1  # Default - cutoff coulomb kernel
+set pspw:SIC_solver_type 2  # Free-space boundary condition kernel
+
+The parameters for the cutoff coulomb kernel are defined by the following +SET directives: +
+set pspw:SIC_screening_radius <real rcut>
+set pspw:SIC_screening_power  <real rpower>
+
+ +

+ +

+ +
+35.1.6 Point Charge Analysis +

+ +

+The MULLIKEN option can be used to generate derived atomic point charges +from a plane-wave density. This analysis is based on a strategy suggested in the work of +P.E. Blochl, J. Chem. Phys. vol. 103, page 7422 (1995). In this strategy +the low-frequency components a plane-wave density are fit to a linear +combination of atom centered Gaussian functions. + +

+The following SET directives are used to define the fitting. +

+set pspw_APC:Gc <real Gc_cutoff>  # specifies the maximum frequency component of the density to be used in the fitting in units of au.
+
+set pspw_APC:nga <integer number_gauss> # specifies the the number of Gaussian functions per
+atom.
+
+set pspw_APC:gamma <real gamma_list> # specifies the decay lengths of each atom centered Gaussian.
+
+ +

+We suggest using the following parameters. +

+set pspw_APC:Gc 2.5
+set pspw_APC:nga 3
+set pspw_APC:gamma 0.6 0.9 1.35
+
+ +

+ +

+ +
+35.1.7 Car-Parrinello +

+The Car-Parrinello task is used to perform ab initio molecular dynamics +using the scheme developed by Car and Parrinello. In this unified ab +initio molecular dynamics scheme the motion of the ion cores is coupled to +a fictitious motion for the Kohn-Sham orbitals of density functional +theory. Constant energy or constant temperature simulations can be +performed. A detailed description of this method +is described in section 35.6. + +

+Input to the Car-Parrinello simulation is contained within the +Car-Parrinello sub-block. +

+PSPW
+  ...
+  Car-Parrinello
+     ...
+  END
+  ...
+END
+
+To run a Car-Parrinello calculation the following directive is used: +
+TASK PSPW Car-Parrinello
+
+The Car-Parrinello sub-block contains a great deal +of input, including pointers to data, as well as +parameter input. Listed below is the format of a Car-Parrinello sub-block. +
+PSPW
+...
+   Car-Parrinello
+      CELL_NAME <string cell_name default 'cell_default'>
+      INPUT_WAVEFUNCTION_FILENAME    <string input_wavefunctions    default input_movecs>
+      OUTPUT_WAVEFUNCTION_FILENAME   <string output_wavefunctions   default input_movecs>
+      INPUT_V_WAVEFUNCTION_FILENAME  <string input_v_wavefunctions  default input_vmovecs>
+      OUTPUT_V_WAVEFUNCTION_FILENAME <string output_v_wavefunctions default input_vmovecs>
+      FAKE_MASS <real fake_mass default default 1000.0>
+      TIME_STEP <real time_step default 5.0>
+      LOOP <integer inner_iteration outer_iteration default 10 1>
+      SCALING <real scale_c scale_r default 1.0 1.0>
+      ENERGY_CUTOFF       <real ecut default (see input description)>
+      WAVEFUNCTION_CUTOFF <real wcut default (see input description)>
+      EWALD_NCUT <integer ncut default 1>
+      EWALD_RCUT <real rcut    default (see input description)>
+      XC (Vosko || PBE96  default Vosko)
+      [Nose-Hoover <real Period_electron Temperature_electrion Period_ion Temperature_ion 
+                          default 100.0 298.15 100.0 298.15>]
+      [SA_decay <real sa_scale_c sa_scale_r default 1.0 1.0>]
+      XYZ_FILENAME <string xyz_filename default XYZ>
+      EMOTION_FILENAME <string emotion_filename default EMOTION>
+      HMOTION_FILENAME <string hmotion_filename default HMOTION>
+      OMOTION_FILENAME <string omotion_filename default OMOTION>
+      EIGMOTION_FILENAME <string eigmotion_filename default EIGMOTION>
+      ION_MOTION_FILENAME <string ion_motion_filename default MOTION>
+
+   END
+...
+
+END
+
+The following list describes the input for the Car-Parrinello +sub-block. + +
    +
  • $<$cell_name$>$ - name of the + the simulation_cell named $<$cell_name$>$. See section 35.1.1. +
  • +
  • $<$input_wavefunctions$>$ - name of the + file containing one-electron orbitals +
  • +
  • $<$output_wavefunctions$>$ - name of the + file that will contain the one-electron orbitals at the + end of the run. +
  • +
  • $<$input_v_wavefunctions$>$ - name of the file + containing one-electron orbital velocities. +
  • +
  • $<$output_v_wavefunctions$>$ - name of the + file that will contain the one-electron orbital velocities + at the end of the run. +
  • +
  • $<$fake_mass$>$ - value for the electronic + fake mass ($\mu$). +
  • +
  • $<$time_step$>$ - value for the Verlet integration + time step ($\Delta t$). +
  • +
  • $<$inner_iteration$>$ - number of iterations between the + printing out of energies. +
  • +
  • $<$outer_iteration$>$ - number of outer iterations +
  • +
  • $<$scale_c$>$ - value for the initial velocity + scaling of the one-electron orbital velocities. +
  • +
  • $<$scale_r$>$ - value for the initial velocity + scaling of the ion velocities. +
  • +
  • $<$ecut$>$ - value for the cutoff energy used + to define the density. Default is set + to be the maximum value that will fit + within the simulation_cell $<$cell_name$>$. +
  • +
  • $<$wcut$>$ - value for the cutoff energy used + to define the one-electron orbitals. Default is set + to be the maximum value that will fit + within the simulation_cell $<$cell_name$>$. +
  • +
  • $<$ncut$>$ - value for the number of unit cells + to sum over (in each direction) for the real space + part of the Ewald summation. Note Ewald summation + is only used if the simulation_cell is periodic. +
  • +
  • $<$rcut$>$ - value for the cutoff radius used + in the Ewald summation. Note Ewald summation + is only used if the simulation_cell is periodic. +
    +Default set to be + +$\frac{MIN(\left\vert \vec{a_i} \right\vert)}{\pi}, i=1,2,3$. +
  • +
  • (Vosko $\vert\vert$ PBE96) - Choose between Vosko et al's LDA + parameterization or the Perdew, Burke, + and Erzherhoff GGA functional. +
  • +
  • Nose-Hoover - optional subblock which if specified + causes the simulation to perform Nose-Hoover dynamics. + If this subblock is not specified the + simulation performs constant energy dynamics. + See section 35.6.2 for a description of the parameters. + +
      +
    • $<$Period_electron$>$ $\equiv$ $P_{electron}$ + - estimated period for fictitious electron thermostat. +
    • +
    • $<$Temperature_electron$>$ $\equiv$ $T_{electron}$ + - temperature for fictitious electron motion +
    • +
    • $<$Period_ion$>$ $\equiv$ $P_{ion}$ + - estimated period for ionic thermostat +
    • +
    • $<$Temperature_ion$>$ $\equiv$ $T_{ion}$ + - temperature for ion motion + +
    • +
    +
  • +
  • SA_decay - optional subblock which if specified + causes the simulation to run a simulated annealing simulation. + For simulated annealing to work the Nose-Hoover subblock needs + to be specified. The initial temperature are taken from the + Nose-Hoover subblock. + See section 35.6.2 for a description of the parameters. + +
      +
    • $<$sa_scale_c$>$ $\equiv$ +$\tau_{electron}$ + - decay rate in atomic units for electronic temperature. +
    • +
    • $<$sa_scale_r$>$ $\equiv$ $\tau_{ionic}$ + - decay rate in atomic units for the ionic temperature. + +
    • +
    + +

    +

  • +
  • $<$xyz_filename$>$ - name of the XYZ motion file + generated +
  • +
  • $<$emotion_filename$>$ - name of the emotion motion file. + See section 35.5.7 for a + description of the datafile. +
  • +
  • $<$hmotion_filename$>$ - name of the hmotion motion file. + See section 35.5.7 for a + description of the datafile. +
  • +
  • $<$eigmotion_filename$>$ - name of the eigmotion motion file. + See section 35.5.7 for a + description of the datafile. +
  • +
  • $<$ion_motion_filename$>$ - name of the ion_motion motion file. + See section 35.5.7 for a + description of the datafile. +
  • +
  • MULLIKEN - optional keyword which if specified causes an omotion motion file to be created. +
  • +
  • $<$omotion_filename$>$ - name of the omotion motion file. + See section 35.5.7 for a + description of the datafile. +
  • +
+ +

+When a DPLOT sub-block is specified the following SET directive can be used +to output dplot data during a Car-Parrinello simulation: +

+set pspw_dplot:iteration_list <integer list_of_iteration_numbers>
+
+The Gaussian cube files specified in the DPLOT sub-block are appended +with the specified iteration number. + +

+For example, the following directive specifies that at the +3,10,11,12,13,14,15, and 50 iterations Gaussian cube files are to be produced. + +

+

+set pspw_dplot:iteration_list 3,10:15,50
+
+ +

+ +

+ +
+35.1.8 Adding Geometry Constraints To A Car-Parrinello Simulation +

+The Car-Parrinello module allows users to freeze the cartesian coordinates +in a simulation (Note - the Car-Parrinello code recognizes Cartesian +constraints, but it does not recognize internal coordinate constraints). +The SET directive (Section 6.6) is used to freeze +atoms, by specifying a directive of the form: +
+  set geometry:actlist <integer list_of_center_numbers>
+
+This defines only the centers in the list as active. All other +centers will have zero force assigned to them, and will remain frozen +at their starting coordinates during a Car-Parrinello simulation. + +

+For example, the following directive specifies that atoms numbered 1, +5, 6, 7, 8, and 15 are active and all other atoms are frozen: +

+  set geometry:actlist 1 5:8 15
+
+or equivalently, +
+  set geometry:actlist 1 5 6 7 8 15
+
+ +

+If this option is not specified by entering a SET directive, +the default behavior in the code is to treat all atoms as active. To +revert to this default behavior after the option to define frozen +atoms has been invoked, the UNSET directive must be used (since +the database is persistent, see Section 3.2). The form +of the UNSET directive is as follows: +

+  unset geometry:actlist
+
+ +

+In addition, the Car-Parrinello module allows users to freeze bond +lengths via a Shake algorithm. The following SET directive +shows how to do this. +

+  set nwpw:shake_constraint "2 6 L 6.9334"
+
+This input fixes the bond length between atoms 2 and 6 to be +6.9334 bohrs. Note that this input only recognizes bohrs. + +

+When using constraints it is usually necessary to turn off +center of mass shifting. This can be done by the following SET directive. +

+  set nwpw:com_shift .false.
+
+ +

+ +

+ +
+35.1.9 PSP_GENERATOR +

+A one-dimensional pseudopotential code has been integrated into NWChem. +This code allows the user to modify and develop pseudopotentials. Currently, +only the Hamann and Troullier-Martins norm-conserving pseudopotentials can be +generated. In future releases, the pseudopotential library (section 35.4) +will be more complete, so that the user will not have explicitly generate +pseudopotentials using this module. + +

+Input to the PSP_GENERATOR task is contained within the +PSP_GENERATOR sub-block. +

+PSPW
+  ...
+  PSP_GENERATOR
+     ...
+  END
+  ...
+END
+
+To run a PSP_GENERATOR calculation the following directive +is used: +
+TASK PSPW PSP_GENERATOR
+
+Listed below is the format of a PSP_GENERATOR sub-block. +
+PSPW
+... 
+   PSP_GENERATOR
+      PSEUDOPOTENTIAL_FILENAME: <string psp_name>
+      ELEMENT: <string element>
+      CHARGE: <real charge>
+      MASS_NUMBER: <real mass_number>
+      ATOMIC_FILLING: <integer ncore nvalence>
+      ( (1||2||...) (s||p||d||f||...) <real filling> \
+         ...)
+      
+      [CUTOFF: <integer lmax> 
+         ( (s||p||d||f||g) <real rcut>\
+         ...)
+      ]
+      PSEUDOPOTENTIAL_TYPE: (TROULLIER-MARTINS || HAMANN default HAMANN)
+      SOLVER_TYPE: (PAULI || SCRHODINGER default PAULI)
+      EXCHANGE_TYPE: (dirac || PBE96 default DIRAC)
+      CORRELATION_TYPE: (VOSKO || PBE96 default VOSKO)
+      [SEMICORE_RADIUS: <real rcore>]
+      
+   end
+... 
+END
+
+The following list describes the input for the PSP_GENERATOR +sub-block. + +
    +
  • $<$psp_name$>$ - name that points to a. +
  • +
  • $<$element$>$ - Atomic symbol. +
  • +
  • $<$charge$>$ - charge of the atom +
  • +
  • $<$mass$>$ - mass number for the atom +
  • +
  • $<$ncore$>$ - number of core states +
  • +
  • $<$nvalence$>$ - number of valence states. +
  • +
  • ATOMIC_FILLING:.....(see below) +
  • +
  • $<$filling$>$ - occupation of atomic state +
  • +
  • CUTOFF:....(see below) +
  • +
  • $<$rcore$>$ - value for the semicore radius (see below) +
  • +
+ +

+ +

+35.1.9.1 ATOMIC_FILLING Block +

+This required block is used to define the reference atom which is used +to define the pseudopotential. After the ATOMIC_FILLING: $<$ncore$>$ +$<$nvalence$>$ line, the core states are listed (one per line), and +then the valence states are listed (one per line). +Each state contains two integer and a value. The first integer +specifies the radial quantum number, $n$, +The second integer specifies the angular momentum quantum number, $l$, +and the third value specifies the occupation of the state. + +

+For example to define a pseudopotential +for the Neon atom in the +$1s^2 2s^2 2p^6$ state +could have the block +

+ATOMIC_FILLING: 1 2
+        1  s  2.0   #core state    - 1s^2 
+        2  s  2.0   #valence state - 2s^2
+        2  p  6.0   #valence state - 2p^6
+
+for a pseudopotential with a $2s$ and $2p$ valence electrons +or the block +
+ATOMIC_FILLING: 3 0
+        1  s  2.0    #core state
+        2  s  2.0    #core state
+        2  p  6.0    #core state
+
+could be used for a pseudopotential with no valence electrons. + +

+ +

+35.1.9.2 CUTOFF Block +

+This optional block specifies the cutoff distances used +to match the all-electron atom to the pseudopotential atom. For +Hamann pseudopotentials $r_{cut}(l)$ defines the distance +where the all-electron potential is matched to the pseudopotential, and +for Troullier-Martins pseudopotentials $r_{cut}(l)$ defines the distance +where the all-electron orbital is matched to the pseudowavefunctions. +Thus the definition of the radii depends on the type of pseudopotential. +The cutoff radii used in Hamann pseudopotentials will be smaller than +the cutoff radii used in Troullier-Martins pseudopotentials. + +

+For example to define a softened Hamann pseudopotential for +Carbon would be +

+ATOMIC_FILLING: 1 2
+  1  s  2.0
+  2  s  2.0
+  2  p  2.0
+CUTOFF: 2
+  s  0.8
+  p  0.85
+  d  0.85
+
+while a similarly softened Troullier-Marting pseudopotential +for Carbon would be +
+ATOMIC_FILLING: 1 2
+  1  s  2.0
+  2  s  2.0
+  2  p  2.0
+CUTOFF: 2
+  s  1.200
+  p  1.275
+  d  1.275
+
+ +

+ +

+35.1.9.3 SEMICORE_RADIUS Option +

+Specifying the SEMICORE_RADIUS option turns on the semicore correction approximation proposed +by Louie et al (S.G. Louie, S. Froyen, and M.L. Cohen, Phys. Rev. B, 26, 1738, (1982)). +This approximation is known to dramatically improve results for systems containing +alkali and transition metal atoms. + +

+The implementation in the PSPW module defines the semi-core density, +$\rho_{semicore}$ in terms of +the core density, $\rho_{core}$, by using the sixth-order polynomial +
+

+ + + + + + + +
$\displaystyle \rho_{semicore}(r) = \left\{ \begin{array}{ll}
+\rho_{core} & \mbo...
+...+ c_4 r^4 + c_5 r^5 + c_6 r^6 & \mbox{if $r < r_{semicore}$}
+\end{array}\right.$   +(35.1)
+

+This expansion was suggested by Fuchs and Scheffler +(M. Fuchs, and M. Scheffler, Comp. Phys. Comm.,119,67 (1999)), +and is better behaved for taking derivatives (i.e. calculating ionic forces) than the expansion suggested +by Louie et al. + +

+ +

+ +
+35.1.10 WAVEFUNCTION_INITIALIZER +

+The functionality of this task is now performed automatically. For backward +compatibility, we provide a description of the input to this task. + +

+The wavefunction_initializer task is used to generate an initial wavefunction +datafile. +Input to the WAVEFUNCTION_INITIALIZER task is contained +within the WAVEFUNCTION_INITIALIZER sub-block. +

+PSPW
+  ...
+  WAVEFUNCTION_INITIALIZER
+     ...
+  END
+  ...
+END
+
+To run a WAVEFUNCTION_INITIALIZER calculation the following directive +is used: +
+TASK PSPW WAVEFUNCTION_INITIALIZER
+
+Listed below is the format of a WAVEFUNCTION_INITIALIZER sub-block. +
+PSPW
+... 
+   WAVEFUNCTION_INITIALIZER
+     CELL_NAME: <string cell_name>
+     WAVEFUNCTION_FILENAME: <string wavefunction_name default input_movecs>
+     (RESTRICTED||UNRESTRICTED)
+     if (RESTRICTED)   
+        RESTRICTED_ELECTRONS: <integer restricted electrons>
+     if (UNRESTRICTED) 
+        UP_ELECTRONS: <integer up_electrons>
+        DOWN_ELECTRONS: <integer down_electrons>
+   END
+...
+END
+
+The following list describes the input for the WAVEFUNCTION_INITIALIZER +sub-block. + +
    +
  • $<$cell_name$>$ - name of + the simulation_cell named $<$cell_name$>$. See section 35.1.1. +
  • +
  • $<$wavefunction_name$>$ - name that will point + to a wavefunction file. +
  • +
  • RESTRICTED - keyword specifying that the calculation is restricted. +
  • +
  • UNRESTRICTED - keyword specifying that the calculation is unrestricted. + +

    +

  • +
  • $<$restricted_electrons$>$ - number of restricted electrons. + Not used if an UNRESTRICTED calculation. +
  • +
  • $<$up_electrons$>$ - number of spin-up electrons. + Not used if a RESTRICTED calculation. +
  • +
  • $<$down_electrons$>$ - number of spin-down electrons. + Not used if a RESTRICTED calculation. +
  • +
+ +

+ +

+35.1.10.1 Old Style Input (version 3.3) to WAVEFUNCTION_INITIALIZER +

+ +

+For backward compatibility, the input to the WAVEFUNCTION_INITIALIZER +sub-block can also be of the form +

+PSPW
+... 
+   WAVEFUNCTION_INITIALIZER
+     CELL_NAME: <string cell_name>
+     WAVEFUNCTION_FILENAME: <string wavefunction_name default input_movecs>
+     (RESTRICTED||UNRESTRICTED)
+     
+     [UP_FILLING: <integer up_filling>
+        [0 0 0   0]
+        {<integer kx ky kz> (-2||-1||1||2)}]
+     [DOWN_FILLING: <integer down_filling>
+        [0 0 0   0]
+        {<integer kx ky kz> (-2||-1||1||2)}]
+   END
+...
+END
+
+where + +
    +
  • $<$cell_name$>$ - name of the + simulation_cell named $<$cell_name$>$. See section 35.1.1. +
  • +
  • $<$wavefunction_name$>$ - name that will point + to a wavefunction file. +
  • +
  • RESTRICTED - keyword specifying that the calculation is restricted. +
  • +
  • UNRESTRICTED - keyword specifying that the calculation is unrestricted. +
  • +
  • $<$up_filling$>$ - number of restricted molecular orbitals if + RESTRICTED and number of spin-up molecular orbitals if + UNRESTRICTED. +
  • +
  • $<$down_filling$>$ - number of spin-down molecular orbitals if + UNRESTRICTED. Not used if a RESTRICTED calculation. +
  • +
  • $<$kx ky kz$>$ - specifies which planewave is to be filled. +
  • +
+ +

+The values for the planewave +$(-2\vert\vert-1\vert\vert 1\vert\vert 2)$ are used to represent whether +the specified planewave is a cosine or a sine function, in addition +random noise can be added to these base functions. That is $+1$ +represents a cosine function, and $-1$ represents a sine function. +The $+2$ and $-2$ values are used to represent a cosine function with +random components added and a sine function with random components +added respectively. + +

+ +

+ +
+35.1.11 V_WAVEFUNCTION_INITIALIZER +

+The functionality of this task is now performed automatically. For backward +compatibility, we provide a description of the input to this task. + +

+The v_wavefunction_initializer task is used to generate an initial velocity +wavefunction datafile. +Input to the V_WAVEFUNCTION_INITIALIZER task is contained +within the V_WAVEFUNCTION_INITIALIZER sub-block. +

+PSPW
+  ...
+  V_WAVEFUNCTION_INITIALIZER
+     ...
+  END
+  ...
+END
+
+To run a V_WAVEFUNCTION_INITIALIZER calculation the following directive +is used: +
+TASK PSPW WAVEFUNCTION_INITIALIZER
+
+Listed below is the format of a V_WAVEFUNCTION_INITIALIZER sub-block. +
+PSPW
+... 
+   V_WAVEFUNCTION_INITIALIZER
+     V_WAVEFUNCTION_FILENAME: <string v_wavefunction_name default input_vmovecs>
+     CELL_NAME: <string cell_name>
+     (RESTRICTED||UNRESTRICTED)
+     UP_FILLING: <integer up_filling>
+     DOWN_FILLING: <integer down_filling>
+   END
+...
+END
+
+The following list describes the input for the V_WAVEFUNCTION_INITIALIZER +sub-block. + +
    +
  • $<$cell_name$>$ - name of the + simulation_cell named $<$cell_name$>$. See section 35.1.1. +
  • +
  • $<$wavefunction_name$>$ - name that will point + to a velocity wavefunction file. +
  • +
  • RESTRICTED - keyword specifying that the calculation is restricted. +
  • +
  • UNRESTRICTED - keyword specifying that the calculation is unrestricted. +
  • +
  • $<$up_filling$>$ - number of restricted velocity molecular + orbitals if RESTRICTED and number of spin-up velocity molecular + orbitals if UNRESTRICTED. +
  • +
  • $<$down_filling$>$ - number of spin-down velocity molecular + orbitals if UNRESTRICTED. Not used if a RESTRICTED calculation. +
  • +
+ +

+ +

+ +
+35.1.12 WAVEFUNCTION_EXPANDER +

+The functionality of this task is now performed automatically. For backward +compatibility, we provide a description of the input to this task. + +

+The wavefunction_expander task is used to convert a new wavefunction +file that spans a larger grid space from an old wavefunction file. +Input to the WAVEFUNCTION_EXPANDER task is contained +within the WAVEFUNCTION_EXPANDER sub-block. +

+PSPW
+  ...
+  WAVEFUNCTION_EXPANDER
+     ...
+  END
+  ...
+END
+
+To run a WAVEFUNCTION_EXPANDER calculation the following directive +is used: +
+TASK PSPW WAVEFUNCTION_EXPANDER
+
+Listed below is the format of a WAVEFUNCTION_EXPANDER sub-block. +
+PSPW
+... 
+   WAVEFUNCTION_EXPANDER   
+     OLD_WAVEFUNCTION_FILENAME: <string old_wavefunction_name default input_movecs>
+     NEW_WAVEFUNCTION_FILENAME: <string new_wavefunction_name default input_movecs>
+     NEW_NGRID: <integer na1 na2 na3>
+    
+   END
+...
+END
+
+The following list describes the input for the WAVEFUNCTION_EXPANDER +sub-block. + +
    +
  • $<$old_wavefunction_name$>$ - name of the + wavefunction file. +
  • +
  • $<$new_wavefunction_name$>$ - name that will + point to a wavefunction file. +
  • +
  • $<$na1 na2 na3$>$ - number of grid points in each dimension + for the new wavefunction file. +
  • +
+ +

+ +

+ +
+35.1.13 STEEPEST_DESCENT +

+The functionality of this task is now performed automatically by the PSPW minimizer. +For backward compatibility, we provide a description of the input to this task. + +

+The steepest_descent task is used to optimize the one-electron orbitals +with respect to the total energy. In addition it can also be used to optimize +geometries. This method is meant to be used for coarse optimization of +the one-electron orbitals. + +

+Input to the steepest_descent simulation is contained +within the steepest_descent sub-block. +

+PSPW
+  ...
+  STEEPEST_DESCENT
+     ...
+  END
+  ...
+END
+
+To run a steepest_descent calculation the following directive is used: +
+TASK PSPW steepest_descent
+
+The steepest_descent sub-block contains a great deal +of input, including pointers to data, as well as +parameter input. Listed below is the format of a STEEPEST_DESCENT sub-block. +
+PSPW
+...
+   STEEPEST_DESCENT
+      CELL_NAME <string cell_name>
+      [GEOMETRY_OPTIMIZE]
+      INPUT_WAVEFUNCTION_FILENAME  <string input_wavefunctions  default input_movecs>
+      OUTPUT_WAVEFUNCTION_FILENAME <string output_wavefunctions default input_movecs>
+      FAKE_MASS <real fake_mass default 400000.0>
+      TIME_STEP <real time_step default 5.8>
+      LOOP <integer inner_iteration outer_iteration default 10 1>
+      TOLERANCES <real tole tolc tolr default 1.0d-9 1.0d-9 1.0d-4>
+      ENERGY_CUTOFF       <real ecut default (see input desciption)>
+      WAVEFUNCTION_CUTOFF <real wcut default (see input description)>
+      EWALD_NCUT <integer ncut default 1>
+      EWALD_RCUT <real rcut default (see input description)>
+      XC (Vosko || PBE96  default Vosko)
+      [MULLIKEN]
+
+   END
+...
+
+END
+
+The following list describes the input for the STEEPEST_DESCENT +sub-block. + +
    +
  • $<$cell_name$>$ - name of + the simulation_cell named $<$cell_name$>$. See section 35.1.1. +
  • +
  • GEOMETRY_OPTIMIZE - optional keyword which if specified + turns on geometry optimization. +
  • +
  • $<$input_wavefunctions$>$ - name of the + file containing one-electron orbitals +
  • +
  • $<$output_wavefunctions$>$ - name of the + file tha will contain the one-electron orbitals at the + end of the run. +
  • +
  • $<$fake_mass$>$ - value for the electronic + fake mass ($\mu$). +
  • +
  • $<$time_step$>$ - value for the time step ($\Delta t$). +
  • +
  • $<$inner_iteration$>$ - number of iterations between the + printing out of energies and tolerances +
  • +
  • $<$outer_iteration$>$ - number of outer iterations +
  • +
  • $<$tole$>$ - value for the energy tolerance. +
  • +
  • $<$tolc$>$ - value for the one-electron orbital tolerance. +
  • +
  • $<$tolr$>$ - value for the ion position tolerance. +
  • +
  • $<$ecut$>$ - value for the cutoff energy used + to define the density. Default is set + to be the maximum value that will fit + within the simulation_cell $<$cell_name$>$. +
  • +
  • $<$wcut$>$ - value for the cutoff energy used + to define the one-electron orbitals. Default is set + to be the maximum value that will fit + within the simulation_cell $<$cell_name$>$. +
  • +
  • $<$ncut$>$ - value for the number of unit cells + to sum over (in each direction) for the real space + part of the Ewald summation. Note Ewald summation + is only used if the simulation_cell is periodic. +
  • +
  • $<$rcut$>$ - value for the cutoff radius used + in the Ewald summation. Note Ewald summation + is only used if the simulation_cell is periodic. +
    +Default set to be + +$\frac{MIN(\left\vert \vec{a_i} \right\vert)}{\pi}, i=1,2,3$. +
  • +
  • (Vosko $\vert\vert$ PBE96) - Choose between Vosko et al's LDA + parameterization or the Perdew, Burke, + and Erzherhoff GGA functional. +
  • +
  • MULLIKEN - optional keyword which if specified + causes a Mulliken analysis to be performed at + the end of the simulation. +
  • +
+ +

+ +

+ +
+35.2 Band Tasks +

+ +

+All input to the Band Tasks is contained within the compound NWPW block, +

+NWPW
+   ...
+END
+
+ +

+To perform an actual calculation a TASK Band directive is used (Section 5.10). +

+  TASK Band
+
+ +

+Once a user has specified a geometry, the Band module can be invoked with no input directives (defaults invoked throughout). There are sub-directives which allow for customized application; those currently provided as options for the Band module are: +

+NWPW
+  CELL_NAME <string cell_name default 'cell_default'>
+  ZONE_NAME <string zone_name default 'zone_default'>
+  INPUT_WAVEFUNCTION_FILENAME  <string input_wavefunctions  default input_movecs>
+  OUTPUT_WAVEFUNCTION_FILENAME <string output_wavefunctions default input_movecs>
+  FAKE_MASS <real fake_mass default 400000.0>
+  TIME_STEP <real time_step default 5.8>
+  LOOP <integer inner_iteration outer_iteration default 10 100>
+  TOLERANCES <real tole tolc default 1.0e-7 1.0e-7>
+  ENERGY_CUTOFF       <real ecut default (see input description)>
+  WAVEFUNCTION_CUTOFF <real wcut default (see input description)>
+  EWALD_NCUT <integer ncut default 1>]
+  EWALD_RCUT <real rcut default (see input description)>
+  EXCHANGE_CORRELATION: (Vosko || PBE96  default Vosko)
+  DFT||ODFT||RESTRICTED||UNRESTRICTED
+  MULT <integer mult default 1>
+  
+  SIMULATION_CELL ... (see input description) END
+  BRILLOUIN_ZONE  ... (see input description) END
+  MONKHORST-PACK <real n1 n2 n3 default 1 1 1>
+
+END
+
+The following list describes these keywords. + +
    +
  • $<$cell_name$>$ - name of + the simulation_cell named $<$cell_name$>$. See section 35.1.1. +
  • +
  • $<$input_wavefunctions$>$ - name of the + file containing one-electron orbitals +
  • +
  • $<$output_wavefunctions$>$ - name that will + point to file containing the one-electron orbitals at the + end of the run. +
  • +
  • $<$fake_mass$>$ - value for the electronic + fake mass ($\mu$). This parameter is not presently used in a + conjugate gradient simulation +
  • +
  • $<$time_step$>$ - value for the time step ($\Delta t$). This + parameter is not presently used in a conjugate gradient simulation. +
  • +
  • $<$inner_iteration$>$ - number of iterations between the + printing out of energies and tolerances +
  • +
  • $<$outer_iteration$>$ - number of outer iterations +
  • +
  • $<$tole$>$ - value for the energy tolerance. +
  • +
  • $<$tolc$>$ - value for the one-electron orbital tolerance. +
  • +
  • $<$ecut$>$ - value for the cutoff energy used + to define the density. Default is set + to be the maximum value that will fit + within the simulation_cell $<$cell_name$>$. +
  • +
  • $<$wcut$>$ - value for the cutoff energy used + to define the one-electron orbitals. + Default is set to be the maximum value that + will fix within the simulation_cell $<$cell_name$>$. +
  • +
  • $<$ncut$>$ - value for the number of unit cells + to sum over (in each direction) for the real space + part of the Ewald summation. Note Ewald summation + is only used if the simulation_cell is periodic. +
  • +
  • $<$rcut$>$ - value for the cutoff radius used + in the Ewald summation. Note Ewald summation + is only used if the simulation_cell is periodic. +
    +Default set to be + +$\frac{MIN(\left\vert \vec{a_i} \right\vert)}{\pi}, i=1,2,3$. +
  • +
  • (Vosko $\vert\vert$ PBE96) - Choose between Vosko et al's LDA + parameterization or the Perdew, Burke, +
  • +
  • SIMULATION_CELL (see section 35.1.1) +
  • +
  • BRILLOUIN_ZONE (see section 35.2.1) +
  • +
  • MONKHORST-PACK - Alternatively, the MONKHORST-PACK keyword can be used + to enter a MONKHORST-PACK sampling of the Brillouin zone. + +

    +

  • +
+ +

+ +

+ +
+35.2.1 Brillouin Zone +

+To supply the special points of the Brillouin zone, +the user defines a brillouin_zone sub-block within the NWPW +block. Listed below is the format of a brillouin_zone sub-block. +
+NWPW
+...
+   BRILLOUIN_ZONE
+      ZONE_NAME <string name default 'zone_default'>
+      (KVECTOR <real k1 k2 k3 no default> <real weight default (see input description)>
+       ...)
+   END
+...
+END
+
+The user enters the special points and weights of the +Brillouin zone. The following list describes the input in detail. + +
    +
  • $<$name$>$ - user-supplied name for the simulation block. +
  • +
  • $<$k1 k2 k3$>$ - user-supplied values for a special point in the + Brillouin zone. +
  • +
  • $<$weight$>$ - user-supplied weight. Default is to set the weight + so that the sum of all the weights for the entered + special points adds up to unity. +
  • +
+ +

+ +

+ +
+35.3 PAW Tasks +

+ +

+All input to the PAW Tasks is contained within the compound NWPW block, +

+NWPW
+   ...
+END
+
+ +

+To perform an actual calculation the following is used (Section 5.10). +

+  TASK PAW steepest\_descent
+
+ +

+Once a user has specified a geometry, the PAW module can be invoked with no input directives (defaults invoked throughout). There are sub-directives which allow for customized application; those currently provided as options for the PAW module are: +

+NWPW
+  CELL_NAME <string cell_name default 'cell_default'>  
+  [GEOMETRY_OPTIMIZE]
+  INPUT_WAVEFUNCTION_FILENAME  <string input_wavefunctions  default input_movecs>
+  OUTPUT_WAVEFUNCTION_FILENAME <string output_wavefunctions default input_movecs>
+  FAKE_MASS <real fake_mass default 400000.0>
+  TIME_STEP <real time_step default 5.8>
+  LOOP <integer inner_iteration outer_iteration default 10 100>
+  TOLERANCES <real tole tolc default 1.0e-7 1.0e-7>
+  ENERGY_CUTOFF       <real ecut default (see input description)>
+  WAVEFUNCTION_CUTOFF <real wcut default (see input description)>
+  EWALD_NCUT <integer ncut default 1>]
+  EWALD_RCUT <real rcut default (see input description)>
+  EXCHANGE_CORRELATION: (Vosko || PBE96  default Vosko)
+  DFT||ODFT||RESTRICTED||UNRESTRICTED
+  MULT <integer mult default 1>
+  
+  SIMULATION_CELL ... (see input description) END
+
+END
+
+The following list describes these keywords. + +
    +
  • $<$cell_name$>$ - name of the + the simulation_cell named $<$cell_name$>$. The + current version of PAW only accepts periodic unit cells. + See section 35.1.1. +
  • +
  • GEOMETRY_OPTIMIZE - optional keyword which if specified + turns on geometry optimization. +
  • +
  • $<$input_wavefunctions$>$ - name of the + file containing one-electron orbitals +
  • +
  • $<$output_wavefunctions$>$ - name of the + file that will contain the one-electron orbitals at the + end of the run. +
  • +
  • $<$fake_mass$>$ - value for the electronic + fake mass ($\mu$). This parameter is not presently used in a + conjugate gradient simulation +
  • +
  • $<$time_step$>$ - value for the time step ($\Delta t$). This + parameter is not presently used in a conjugate gradient simulation. +
  • +
  • $<$inner_iteration$>$ - number of iterations between the + printing out of energies and tolerances +
  • +
  • $<$outer_iteration$>$ - number of outer iterations +
  • +
  • $<$tole$>$ - value for the energy tolerance. +
  • +
  • $<$tolc$>$ - value for the one-electron orbital tolerance. +
  • +
  • $<$ecut$>$ - value for the cutoff energy used + to define the density. Default is set + to be the maximum value that will fit + within the simulation_cell $<$cell_name$>$. +
  • +
  • $<$wcut$>$ - value for the cutoff energy used + to define the one-electron orbitals. + Default is set to be the maximum value that + will fix within the simulation_cell $<$cell_name$>$. +
  • +
  • $<$ncut$>$ - value for the number of unit cells + to sum over (in each direction) for the real space + part of the smooth compensation summation. +
  • +
  • $<$rcut$>$ - value for the cutoff radius used + in the smooth compensation summation. +
    +Default set to be + +$\frac{MIN(\left\vert \vec{a_i} \right\vert)}{\pi}, i=1,2,3$. +
  • +
  • (Vosko $\vert\vert$ PBE96) - Choose between Vosko et al's LDA + parameterization or the Perdew, Burke, +
  • +
  • SIMULATION_CELL (see section 35.1.1) +
  • +
+ +

+ +

+ +
+35.4 Pseudopotential and PAW basis Libraries +

+ +

+A library of pseudopotentials used by PSPW and BAND is currently available in the +directory +
$NWCHEM_TOP/src/nwpw/libraryps/pspw_default + +

+The elements listed in the following table are present: + +

+

+  H
+ -------
+  Li Be                               B  C  N  O
+ -------                             ------------------
+  Na Mg                               Al Si P  S Cl   
+ ------------------------------------------------------
+  K          Ti          Fe     Cu Zn Ga Ge As            
+ ------------------------------------------------------
+    Sr
+ ------------------------------------------------------
+                             Pt Au       Pb
+ ------------------------------------------------------
+
+The pseudopotential libraries are continually being tested +and added. Also, a stand-alone code is available that allows users +to convert certain pseudopotentials generated with the OPIUM package of Rappe et al. +The user can request additional pseudopotentials as well as the conversion +code from Eric J. Bylaska at (Eric.Bylaska@pnl.gov). + +

+Similarly, a library of PAW basis used by PAW is currently available in the +directory +
$NWCHEM_TOP/src/nwpw/libraryps/paw_default + +

+Currently there are not very many elements available for PAW. However, +the user can request additional basis sets from Eric J. Bylaska at (Eric.Bylaska@pnl.gov). +The elements available are: H, O Al, Sc, V, and Fe. + +

+A preliminary implementation of the HGH pseudopotentials (Hartwigsen, Goedecker, and Hutter) +has been implemented into the PSPW module. To access +the pseudopotentials the pseudopotentials input block is used. For +example, to redirect the code to use HGH pseudopotentials for carbon +and hydrogen, the following input would be used. +

+nwpw
+   ...
+   pseudopotentials
+    C  library  HGH_LDA
+    H  library  HGH_LDA
+   end
+   ...
+end
+
+The implementation of HGH pseudopotentials is rather limited in this release. +HGH pseudopotentials cannot be used to optimize unit cells, and they +do not work with the MULLIKEN option. They also have not yet been implemented +into the BAND structure code. + +

+If you wish to redirect the code to a different directory other than +the default one, +you need to set the environmental variable +NWCHEM_NWPW_LIBRARY +to the new location of the libraryps directory. + +

+ +

+ +
+35.5 NWPW RTDB Entries and DataFiles +

+Input to the PSPW and Band modules are contained in both the RTDB and datafiles. +The RTDB is used to store input that the user will need to directly specify. +Input of this kind includes ion positions, ion velocities, and simulation cell +parameters. The datafiles are used to store input, such the one-electron +orbitals, one-electron orbital velocities, formatted pseudopotentials, +and one-dimensional pseudopotentials, that the user will in most cases +run a program to generate. + +

+ +

+35.5.1 Ion Positions +

+The positions of the ions are stored in the default geometry structure +in the RTDB and must be specified using the GEOMETRY directive. + +

+ +

+35.5.2 Ion Velocities +

+The velocities of the ions are stored in the default geometry structure +in the RTDB, and must be specified using the GEOMETRY directive. + +

+ +

+35.5.3 Wavefunction Datafile +

+The one-electron orbitals are stored in a wavefunction datafile. This +is a binary file and cannot be directly edited. This datafile is used +by steepest_descent and Car-Parrinello tasks and can be generated +using the wavefunction_initializer or wavefunction_expander tasks. + +

+ +

+35.5.4 Velocity Wavefunction Datafile +

+The one-electron orbital velocities are stored in a velocity wavefunction +datafile. This is a binary file and cannot be directly edited. This datafile +is used by the Car-Parrinello task and can be generated +using the v_wavefunction_initializer task. + +

+ +

+35.5.5 Formatted Pseudopotential Datafile +

+The pseudopotentials in Kleinman-Bylander form expanded on a simulation +cell (3d grid) are stored in a formatted pseudopotential datafile. +This is a binary file and cannot be directly edited. +This datafile +is used by steepest_descent and Car-Parrinello tasks and can be generated +using the pseudopotential_formatter task. + +

+ +

+35.5.6 One-Dimensional Pseudopotential Datafile +

+The one-dimensional pseudopotentials are stored in a one-dimensional +pseudopotential file. This is an ASCII file and can be directly edited with +a text editor. However, the user will usually use the psp_generator +task to generate this datafile. + +

+The data stored in the one-dimensional pseudopotential file is +

+   character*2 element       :: element name
+   integer     charge        :: valence charge of ion
+   real        mass          :: mass of ion
+   integer     lmax          :: maximum angular component
+   real        rcut(lmax)    :: cutoff radii used to define pseudopotentials
+   integer     nr            :: number of points in the radial grid
+   real        dr            :: linear spacing of the radial grid
+   real        r(nr)         :: one-dimensional radial grid
+   real        Vpsp(nr,lmax) :: one-dimensional pseudopotentials
+   real        psi(nr,lmax)  :: one-dimensional pseudowavefunctions
+   real        r_semicore        :: semicore radius
+   real        rho_semicore(nr)  :: semicore density
+
+and the format of it is: +
+[line 1:     ] element  
+[line 2:     ] charge mass lmax
+[line 3:     ] (rcut(l), l=1,lmax)
+[line 4:     ] nr dr
+[line 5:     ]    r(1)  (Vpsp(1,l),  l=1,lmax)
+[line 6:     ] ....
+[line nr+4:  ] r(nr) (Vpsp(nr,l), l=1,lmax)
+[line nr+5:  ] r(1)  (psi(1,l), l=1,lmax) 
+[line nr+6:  ] ....
+[line 2*nr+4:] r(nr) (psi(nr,l), l=1,lmax)
+[line 2*nr+5:] r_semicore
+if (r_semicore read) then
+[line 2*nr+6:] r(1)  rho_semicore(1)
+[line 2*nr+7:] ....
+[line 3*nr+5:] r(nr) rho_semicore(nr)
+end if
+
+ +

+ +

+ +
+35.5.7 PSPW Car-Parrinello Output Datafiles +

+ +

+ +

+35.5.7.1 XYZ motion file +

+Data file that stores ion positions and velocities as +a function of time in XYZ format. + +

+

+[line 1:          ]  n_ion
+[line 2:          ]  
+do ii=1,n_ion
+[line 2+ii:       ] atom_name(ii), x(ii),y(ii),z(ii),vx(ii),vy(ii),vz(ii)
+end do
+[line n_ion+3     ] n_nion
+
+do ii=1,n_ion
+[line n_ion+3+ii: ] atom_name(ii), x(ii),y(ii),z(ii), vx(ii),vy(ii),vz(ii)
+end do
+[line 2*n_ion+4:  ]  ....
+
+ +

+ +

+35.5.7.2 ION_MOTION motion file +

+Datafile that stores ion positions and velocities +as a function of time + +

+

+[line 1:          ]  it_out, n_ion, omega
+[line 2:          ]  time
+do ii=1,n_ion
+[line 2+ii:       ] x(ii),y(ii),z(ii), vx(ii),vy(ii),vz(ii)
+end do
+[line n_ion+3     ] time
+do 
+do ii=1,n_ion
+[line n_ion+3+ii: ] x(ii),y(ii),z(ii), vx(ii),vy(ii),vz(ii)
+end do
+[line 2*n_ion+4:  ]  ....
+
+ +

+ +

+35.5.7.3 EMOTION motion file +

+Datafile that store energies as a function of time +
+[line 1:          ]  time, E1,E2,E3,E4,E5,E6,E7,E8, (E9,E10, if Nose-Hoover)
+[line 2:          ] ...
+
+ +

+ +

+35.5.7.4 HMOTION motion file +

+Datafile that stores the rotation matrix +as a function of time. + +

+

+[line 1:          ] time
+[line 2:          ] ms,ne(ms),ne(ms)
+do i=1,ne(ms)
+[line 2+i:        ] (hml(i,j), j=1,ne(ms)
+end do
+[line 3+ne(ms):   ] time
+[line 4+ne(ms):   ] ....
+
+ +

+ +

+35.5.7.5 EIGMOTION motion file +

+Datafile that stores the eigenvalues for the one-electron +orbitals as a function of time. + +

+

+[line 1:          ]  time, (eig(i), i=1,number_orbitals)
+[line 2:          ] ...
+
+ +

+ +

+35.5.7.6 OMOTION motion file +

+Datafile that stores a reduced representation of the +one-electron orbitals. To be used with a molecular +orbital viewer that will be ported to NWChem +in the near future. + +

+ +

+ +
+35.6 Car-Parrinello Scheme for Ab Initio Molecular Dynamics +

+ +

+Car and Parrinello developed a unified scheme for doing ab initio +molecular dynamics by combining the motion of the ion cores and a fictitious +motion for the Kohn-Sham orbitals of density-functional theory +(R. Car and M. Parrinello, Phys. Rev. Lett. 55, 2471, (1985)). +At the heart of this method they introduced a fictitious kinetic energy +functional for the Kohn-Sham orbitals. + +

+
+

+ + + + + + +
$\displaystyle KE(\{\psi_{i,\sigma}(\vec{r})\})$$\textstyle =$$\displaystyle \sum_{i,\sigma}^{occ}
+\int d\vec{r}\ \mu \left\vert
+\dot{\psi}_{i,\sigma}(\vec{r}) \right\vert^2$ +(35.2)
+

+ +

+Given this kinetic energy the constrained equations of motion are found +by taking the first variation of the auxiliary Lagrangian. +
+

+ + + + + + + + + + +
$\displaystyle L$$\textstyle =$$\displaystyle \sum_{i,\sigma}^{occ} \int d\vec{r}\ \mu \left\vert
+\dot{\psi}_{i...
+...eft[ \left\{ \psi_{i,\sigma}(\vec{r})\right\},\left\{\vec{R}_I \right\} \right]$
  $\displaystyle +\sum_{ij,\sigma} \Lambda_{ij,\sigma} \left( \int d\vec{r}\
+\psi_{i,\sigma}^{*}(\vec{r}) \psi_{j,\sigma}(\vec{r}) - \delta_{ij,\sigma}
+\right)$ +(35.3)
+

+ +

+Which generates a dynamics for the wavefunctions +$\psi_{i,\sigma}(\vec{r})$ and +atoms positions $\vec{R}_I$ through the constrained equations of motion: + +

+
+

+ + + + + + +
$\displaystyle \mu \ddot{\psi}_{i,\sigma}(\vec{r},t)$$\textstyle =$$\displaystyle -\frac{\delta E}{\delta \psi_{i,\sigma }^{*}
+\left( \vec{r},t \ri...
+... } + \sum\limits_j \Lambda_{ij,\sigma}
+\psi_{j,\sigma} \left( \vec{r},t \right)$ +(35.4)
+

+
+
+ + + + + + +
$\displaystyle M_I \ddot{\vec{R}}_I$$\textstyle =$$\displaystyle -\frac{\partial E}{\partial \vec{R}_I}$ +(35.5)
+

+ +

+where $\mu$ is the fictitious mass for the electronic degrees of freedom and +$M_I$ are the ionic masses. +The adjustable parameter $\mu$ is used to +describe the relative rate at which the wavefunctions change with time. + +$\Lambda_{ij,\sigma}$ are the +Lagrangian multipliers for the orthonormalization of the single-particle +orbitals +$\psi_{i,\sigma}(\vec{r})$. +They are defined by the orthonormalization constraint conditions +and can be rigorously found. +However, the equations of motion for the Lagrange multipliers +depend on the specific algorithm used to integrate +Eqs. 35.4-35.5. + +

+For this method to give ionic motions that are physically meaningful +the kinetic energy of the Kohn-Sham orbitals must be relatively +small when compared to the kinetic energy of the ions. +There are two ways where this criterion can fail. +First, the numerical integrations for the Car-Parrinello equations of motion +can often lead to large relative values of the kinetic energy of +the Kohn-Sham orbitals relative to the kinetic energy of the ions. +This kind of failure is easily fixed by requiring a more accurate +numerical integration, i.e. use a smaller time step for the numerical +integration. +Second, during the motion of the system a the ions can be in locations where +there is an Kohn-Sham orbital level crossing, i.e. the density-functional +energy can have two states that are nearly degenerate. This kind +of failure often occurs in the study of chemical reactions. +This kind of failure is not easily fixed and requires the use +of a more sophisticated density-functional energy that accounts +for low-lying excited electronic states. + +

+ +

+35.6.1 Verlet Algorithm for Integration +

+ +

+Eqs. 35.4-35.5 integrated using the Verlet algorithm +results in + +

+
+

+ + + + + + +
$\displaystyle \psi_{i,\sigma}^{t+ \Delta t}$$\textstyle \leftarrow$$\displaystyle 2 \psi_{i,\sigma}^{t} - \psi_{i,\sigma}^{t-\Delta t}
++ \frac{(\De...
+...\psi_{i,\sigma}^{*}}
++ \sum_{j} \psi_{j,\sigma} \Lambda_{ji,\sigma}
+\right]_{t}$ +(35.6)
+

+
+
+ + + + + + +
$\displaystyle \vec{R}_I^{t+\Delta t}$$\textstyle \leftarrow$$\displaystyle 2 \vec{R}_I^{t} - \vec{R}_I^{t-\Delta t}
++ \frac{(\Delta t)^2}{M_I}
+\frac{\partial E}{\partial \vec{R}_I}$ +(35.7)
+

+ +

+In this molecular dynamic procedure we have to know variational derivative + +$\frac{\delta E}{\delta \psi_{i,\sigma}^{*}}$ and the matrix + +$\Lambda_{ij,\sigma}$. +The variational derivative +$\frac{\delta E}{\delta \psi_{i,\sigma}^{*}}$ +can be analytically found and is +
+

+ + + + + + + + + + + + + + + + + + + + + + +
$\displaystyle \frac{\delta E}{\delta \psi_{i,\sigma}^{*}}$$\textstyle =$$\displaystyle -\frac{1}{2} \nabla^2
+\psi_{i,\sigma}(\vec{r})$
 $\textstyle +$$\displaystyle \int d\vec{r^{\prime}}
+W_{ext}(\vec{r},\vec{r^{\prime}})
+\psi_{i,\sigma}(\vec{r^{\prime}})$
 $\textstyle +$$\displaystyle \int d\vec{r^{\prime}}
+\frac{n(\vec{r^{\prime}})}{\vert\vec{r}-\vec{r^{\prime}}\vert}
+\psi_{i,\sigma}(\vec{r})$
 $\textstyle +$$\displaystyle \mu_{xc}^{\sigma}(\vec{r})
+\psi_{i,\sigma}(\vec{r})$
 $\textstyle \equiv$$\displaystyle \hat{H} \psi_{i,\sigma}$ +(35.8)
+

+ +

+To find the matrix +$\Lambda_{ij,\sigma}$ we impose the orthonormality +constraint on +$\psi_{i,\sigma}^{t+\Delta t}$ to obtain a +matrix Riccatti equation, and then Riccatti equation is solved by an iterative +solution + +

+ +

+ +
+35.6.2 Constant Temperature Simulations: Nose-Hoover Thermostats +

+ +

+Nose-Hoover Thermostats for the electrons and ions can also be added to the +Car-Parrinello simulation. In this type of simulation thermostats variables $x_e$ and $x_R$ +are added to the simulation by adding the auxiliary energy functionals to the total energy. +
+

+ + + + + + + + + + + +
$\displaystyle ION\_THERMOSTAT(x_R)$$\textstyle =$$\displaystyle \frac{1}{2} Q_R \dot{x_R} + E_{R0}x_R$ +(35.9)
$\displaystyle ELECTRON\_THERMOSTAT(x_e)$$\textstyle =$$\displaystyle \frac{1}{2} Q_e \dot{x_e} + E_{e0}x_e$ +(35.10)
+

+ +

+In these equations, the average kinetic energy for the ions is +
+

+ + + + + + + +
$\displaystyle E_{R0} = \frac{1}{2} f k_B T$   +(35.11)
+

+where $f$ is the number of atomic degrees of freedom, $k_B$ is +Boltzmann's constant, and T is the desired temperature. Defining +the average fictitious kinetic energy of the electrons is not as straightforward. +Blöchl and Parrinello +(P.E. Blöchl and M. Parrinello, Phys. Rev. B, 45, 9413, (1992)) +have suggested the following formula for determining +the average fictitious kinetic energy +
+
+ + + + + + + +
$\displaystyle E_{e0} = 4 k_B T \frac{\mu}{M} \sum_i <\psi_i\vert-\frac{1}{2} \nabla^2 \vert\psi_i>$   +(35.12)
+

+where $\mu$ is the fictitious electronic mass, $M$ is average mass of one atom, +and +$\sum_i <\psi_i\vert-\frac{1}{2} \nabla^2 \vert\psi_i>$ is the kinetic energy of the +electrons. + +

+Blöchl and Parrinello suggested that the choice of mass parameters, +$Q_e$, and $Q_R$ should be made such that the period of oscillating thermostats +should be chosen larger than the typical time scale for the dynamical events of +interest but shorter than the simulation time. +
+

+ + + + + + + + + + + +
$\displaystyle P_{ion}$$\textstyle =$$\displaystyle 2\pi \sqrt{\frac{Q_R}{4E_{R0}}}$ +(35.13)
$\displaystyle P_{electron}$$\textstyle =$$\displaystyle 2\pi \sqrt{\frac{Q_e}{4E_{e0}}}$ +(35.14)
+

+where $P_{ion}$ and $P_{electron}$ are the periods of oscillation for the ionic and fictitious +electronic thermostats. + +

+In simulated annealing simulations the electronic and ionic Temperatures are scaled +according to an exponential cooling schedule, +
+

+ + + + + + + + + + + +
$\displaystyle T_e(t) = T_e^0 \exp^{-\frac{t}{\tau_e}}$   +(35.15)
$\displaystyle T_{ionic}(t) = T_{ionic}^0 \exp^{-\frac{t}{\tau_{ionic}}}$   +(35.16)
+

+where $T_e^0$ and $T_{ionic}^0$ are the initial temperatures, and $\tau_e$ and $\tau_{ionic}$ +are the cooling rates in atomic units. + +

+ +

+ +
+35.7 PSPW Tutorial 1: Minimizing the geometry for a C$_2$ molecule +

+ +

+In this section we show how use the PSPW module to optimize the geometry +for a C$_2$ molecule at the PBE96 levels. + +

+In the following example we show the input needed to optimize the geometry +for a C$_2$ molecule at the LDA level. In this example, default pseudopotentials +from the pseudopotential library are used for C, the boundary condition is free-space, +the exchange correlation functional is PBE96, The boundary condition is free-space, and +the simulation cell cell is aperiodic and cubic with a side length of 10.0 Angstroms and has +40 grid points in each direction (cutoff energy is 44 Ry). +

+         
+start c2_pspw_pbe96
+title "C2 restricted singlet dimer optimization - PBE96/44Ry"
+
+geometry  
+C    -0.62 0.0 0.0
+C     0.62 0.0 0.0
+end
+       
+pspw
+   simulation_cell units angstroms
+      boundary_conditions aperiodic
+      SC 10.0
+      ngrid 40 40 40
+   end
+   xc pbe96
+end
+set nwpw:minimizer 2
+task pspw optimize
+
+ +

+ +

+ +
+35.8 PSPW Tutorial 2: Running a Car-Parrinello Simulation +

+ +

+In this section we show how use the PSPW module to perform a Car-Parrinello +molecular dynamic simulation for a C$_2$ molecule at the LDA level. +Before running a PSPW Car-Parrinello simulation the system should be +on the Born-Oppenheimer surface, i.e. the one-electron orbitals should be minimized +with respect to the total energy (i.e. task pspw energy). The input needed +is basically the same as for optimizing the geometry of a C$_2$ molecule at the LDA level, +except that and additional Car-Parrinello sub-block is added. + +

+In the following example we show the input needed to run a Car-Parrinello simulation +for a C$_2$ molecule at the LDA level. In this example, default pseudopotentials +from the pseudopotential library are used for C, the boundary condition is free-space, +the exchange correlation functional is LDA, The boundary condition is free-space, and +the simulation cell cell is aperiodic and cubic with a side length of 10.0 Angstroms and has +40 grid points in each direction (cutoff energy is 44 Ry). The time step and fake mass +for the Car-Parrinello run are specified to be 5.0 au and 600.0 au, respectively. + +

+

+         
+start c2_pspw_lda_md
+title "C2 restricted singlet dimer, LDA/44Ry - constant energy Car-Parrinello simulation"
+
+geometry  
+C    -0.62 0.0 0.0
+C     0.62 0.0 0.0
+end
+       
+pspw
+   simulation_cell units angstroms
+      boundary_conditions aperiodic
+      lattice
+        lat_a 10.00d0
+        lat_b 10.00d0
+        lat_c 10.00d0
+      end
+      ngrid 40 40 40
+   end
+   Car-Parrinello
+     fake_mass 600.0
+     time_step 5.0
+     loop 10 10
+   end
+end
+set nwpw:minimizer 2
+task pspw energy
+task pspw Car-Parrinello
+
+ +

+ +

+ +
+35.9 PSPW Tutorial 3: optimizing a unit cell and geometry for Silicon-Carbide +

+ +

+The following example demonstrates how to uses the PSPW module to optimize the unit cell +and geometry for a silicon-carbide crystal. + +

+

+title "SiC 8 atom cubic cell - geometry and unit cell optimization"
+
+start SiC
+
+#**** Enter the geometry using fractional coordinates ****
+geometry units au center noautosym noautoz print
+  system crystal
+    lat_a 8.277d0
+    lat_b 8.277d0
+    lat_c 8.277d0
+    alpha 90.0d0
+    beta  90.0d0
+    gamma 90.0d0
+  end
+Si    -0.50000d0  -0.50000d0  -0.50000d0
+Si     0.00000d0   0.00000d0  -0.50000d0
+Si     0.00000d0  -0.50000d0   0.00000d0
+Si    -0.50000d0   0.00000d0   0.00000d0
+C     -0.25000d0  -0.25000d0  -0.25000d0
+C      0.25000d0   0.25000d0  -0.25000d0
+C      0.25000d0  -0.25000d0   0.25000d0
+C     -0.25000d0   0.25000d0   0.25000d0
+end
+
+#***** setup the nwpw gamma point code ****
+nwpw
+   simulation_cell
+     ngrid 16 16 16
+   end
+   ewald_ncut 8
+end
+set nwpw:minimizer 2
+set nwpw:psi_nolattice .true.  # turns of unit cell checking for wavefunctions
+
+driver
+  clear
+  maxiter 40
+end
+set includestress .true.    # this option tells driver to optimize the unit cell
+
+task pspw optimize
+
+ +

+ +

+ +
+35.10 Band Tutorial 1: Minimizing the energy of a silicon-carbide crystal by running a PSPW and Band simulation in tandem +

+ +

+The following input deck performs a PSPW energy calculation followed +by a Band energy calculation at the $\Gamma$-point for a cubic (8-atom) +silicon-carbide crystal. Since the geometry is entered using fractional coordinates +the unit cell parameters do not have to be re-specified in the simulation_cell +nwpw sub-block. In this example, default pseudopotential from the pseudopotential +library are used for C and Si. The advantage of running these calculations in tandem is that +the Band code uses the wavefunctions generated from the faster PSPW calculation for +its initial guess. The PSPW energy is -38.353570, and the Band energy is -38.353570. + +

+

+start SiC_band
+title "SiC 8 atom cubic cell"
+
+#**** geometry entered using fractional coordinates ****
+geometry units au center noautosym noautoz print 
+  system crystal 
+    lat_a 8.277d0
+    lat_b 8.277d0
+    lat_c 8.277d0
+    alpha 90.0d0
+    beta  90.0d0
+    gamma 90.0d0
+  end
+Si    -0.50000d0  -0.50000d0  -0.50000d0
+Si     0.00000d0   0.00000d0  -0.50000d0
+Si     0.00000d0  -0.50000d0   0.00000d0
+Si    -0.50000d0   0.00000d0   0.00000d0
+C     -0.25000d0  -0.25000d0  -0.25000d0
+C      0.25000d0   0.25000d0  -0.25000d0
+C      0.25000d0  -0.25000d0   0.25000d0
+C     -0.25000d0   0.25000d0   0.25000d0
+end
+
+#***** setup the nwpw gamma point code ****
+nwpw
+   simulation_cell
+     ngrid 16 16 16
+   end
+   brillouin_zone
+     kvector  0.0 0.0 0.0
+   end
+   ewald_ncut 8
+end
+set nwpw:minimizer 2
+set nwpw:psi_brillioun_check .false.
+task pspw energy
+task band energy
+
+ +

+ +

+ +
+35.11 PAW Tutorial +

+ +

+The following input deck performs for a water molecule a PSPW energy calculation followed +by a PAW energy calculation and a PAW geometry optimization calculation. +The default unit cell parameters are used (SC=20.0, ngrid 32 32 32). In this simulation, the +first PAW run optimizes the wavefunction and the second PAW run optimizes the wavefunction +and geometry in tandem. + +

+

+title "paw steepest descent test"
+
+start paw_test
+
+charge 0
+
+geometry units au nocenter noautoz noautosym
+O      0.00000    0.00000    0.01390
+H     -1.49490    0.00000   -1.18710
+H      1.49490    0.00000   -1.18710
+end
+
+nwpw
+   time_step 15.8
+   ewald_rcut 1.50
+   tolerances 1.0d-8 1.0d-8
+end
+set nwpw:lcao_iterations 1
+set nwpw:minimizer 2
+task pspw energy
+
+task paw steepest_descent
+
+nwpw
+   time_step 5.8
+   geometry_optimize
+   ewald_rcut 1.50
+   tolerances 1.0d-7 1.0d-7 1.0d-4
+end
+task paw steepest_descent
+
+ +

+ +

+ +
+35.12 NWPW Capabilities and Limitations +

+ +

+ +

    +
  • You cannot use more processors than the size of the third dimension + (e.g. a 64x64x64 FFT grid can use at most 64 processors). +
  • +
  • The second and third dimensions of the FFT grid must be the same + (i.e. the parameters na2 and na3 must be the same for each simulation cell). +
  • +
  • Wannier orbital generation only works with cubic unit cells ( +$\alpha=\beta=\gamma=90^o$) +
  • +
  • PAW is not interfaced to driver, stepper, and vib modules. +
  • +
+ +

+ +

+35.13 Questions and Difficulties +

+ +

+Questions and encountered problems should be reported to +nwchem-users@emsl.pnl.gov +or to Eric J. Bylaska, Eric.Bylaska@pnl.gov + +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 36. Controlling NWChem with + Up: user + Previous: 34. File formats +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node38.html b/web/doc/user.4.6/node38.html new file mode 100644 index 0000000000..aacc456d3d --- /dev/null +++ b/web/doc/user.4.6/node38.html @@ -0,0 +1,935 @@ + + + + + +36. Controlling NWChem with Python + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 37. Interfaces to Other + Up: user + Previous: 35. Pseudopotential plane-wave density +   Contents +
+
+ + +Subsections + + + +
+ +

+36. Controlling NWChem with Python +

+ +

+Python (version 1.5.1) programs may be embedded into the NWChem input +and used to control the execution of NWChem. Python is a very +powerful and widely used scripting language that provides useful +things such as variables, conditional branches and loops, and is also +readily extended. Example applications include scanning potential +energy surfaces, computing properties in a variety of basis sets, +optimizing the energy w.r.t. parameters in the basis set, computing +polarizabilities with finite field, and simple molecular dynamics. + +

+Look in the NWChem contrib directory for useful scripts and +examples. Visit the Python web-site +http://www.python.org +for a full manual and lots of useful code and resources. + +

+ +

+36.1 How to input and run a Python program inside NWChem +

+ +

+A Python program is input into NWChem inside a Python compound directive. +

+  python [print|noprint]
+    ...
+  end
+
+The END directive must be flush against the left +margin (see the Troubleshooting section for the reason why). + +

+The program is by default printed to standard output when read, but +this may be disabled with the noprint keyword. Python uses +indentation to indicate scope (and the initial level of indentation +must be zero), whereas NWChem uses optional indentation only to make +the input more readable. For example, in Python, the contents of a +loop, or conditionally-executed block of code must be indented further +than the surrounding code. Also, Python attaches special meaning to +several symbols also used by NWChem. For these reasons, the input +inside a PYTHON compound directive is read verbatim except that +if the first line of the Python program is indented, the same amount +of indentation is removed from all subsequent lines. This is so that +a program may be indented inside the PYTHON input block for +improved readability of the NWChem input, while satisfying the +constraint that when given to Python the first line has zero +indentation. + +

+E.g., the following two sets of input specify the same Python program. +

+  python
+    print 'Hello'
+    print 'Goodbye'
+  end
+
+  python
+  print 'Hello'
+  print 'Goodbye'
+  end
+
+whereas this program is in error since the indentation of the second +line is less than that of the first. +
+  python
+    print 'Hello'
+  print 'Goodbye'
+  end
+
+ +

+The Python program is not executed until the following directive +is encountered +

+  task python
+
+which is to maintain consistency with the behavior of NWChem in general. +The program is executed by all nodes. This enables the full functionality and speed of NWChem to be accessible from Python, but there are some gotchas + +
    +
  • Print statements and other output will be executed by all nodes +so you will get a lot more output than probably desired unless the +output is restricted to just one node (by convention node zero). +
  • +
  • The calls to NWChem functions are all collective (i.e., all +nodes must execute them). If these calls are not made collectively +your program may deadlock (i.e., cease to make progress). + +

    +

  • +
  • When writing to the database (rtdb_put()) it is the data +from node zero that is written. + +

    +

  • +
  • NWChem overrides certain default signal handlers so care +must be taken when creating processes (see Section 36.3.11). +
  • +
+ +

+ +

+36.2 NWChem extensions +

+ +

+Since we have little experience using Python, the NWChem-Python +interface might change in a non-backwardly compatible fashion as we +discover better ways of providing useful functionality. We would +appreciate suggestions about useful things that can be added to the +NWChem-Python interface. In principle, nearly any Fortran or C +routine within NWChem can be extended to Python, but we are also +interested in ideas that will enable users to build completely new +things. For instance, how about being able to define your own energy +functions that can be used with the existing optimizers or dynamics +package? + +

+Python has been extended with a module named "nwchem" which is +automatically imported and contains the following NWChem-specific +commands. They all handle NWChem-related errors by raising the +exception "NWChemError", which may be handled in the standard +Python manner (see Section 36.3.9). + +

    +
  • input_parse(string) -- invokes the standard NWChem input +parser with the data in string as input. Note that the usual +behavior of NWChem will apply -- the parser only reads input up to +either end of input or until a TASK directive is encountered +(the task directive is not executed by the parser). + +

    +

  • +
  • task_energy(theory) -- returns the energy as if computed +with the NWChem directive TASK ENERGY <THEORY>. + +

    +

  • +
  • task_gradient(theory) -- returns a tuple +(energy,gradient) as if computed with the NWChem +directive TASK GRADIENT <THEORY>. + +

    +

  • +
  • task_optimize(theory) -- returns a tuple +(energy,gradient) as if computed with the NWChem +directive TASK OPTIMIZE <THEORY>. The energy and gradient +will be those at the last point in the optimization and consistent +with the current geometry in the database. + +

    +

  • +
  • ga_nodeid() -- returns the number of the parallel +process. + +

    +

  • +
  • rtdb_print(print_values) -- prints the contents of the +RTDB. If print_values is 0, only the keys are printed, if it +is 1 then the values are also printed. + +

    +

  • +
  • rtdb_put(name, values) or +rtdb_put(name, values, type) -- puts the values into the +database with the given name. In the first form, the type is inferred +from the first value, and in the second form the type is specified +using the last argument as one of INT, DBL, +LOGICAL, or CHAR. + +

    +

  • +
  • rtdb_get(name) -- returns the data from the database +associated with the given name. +
  • +
+ +

+An example below (Section 36.3.10) explains, in lieu of a +Python wrapper for the geometry object, how to obtain the Cartesian +molecular coordinates directly from the database. + +

+ +

+36.3 Examples +

+ +

+Several examples will provide the best explanation of how the extensions +are used, and how Python might prove useful. + +

+ +

+36.3.1 Hello world +

+ +

+

+  python
+    print 'Hello world from process ', ga_nodeid()
+  end
+
+  task python
+
+ +

+This input prints the traditional greeting from each parallel process. + +

+ +

+36.3.2 Scanning a basis exponent +

+
+  geometry units au
+    O 0 0 0; H 0 1.430 -1.107; H 0 -1.430 -1.107
+  end
+
+  python
+    exponent = 0.1
+    while (exponent <= 2.01):
+       input_parse('''
+          basis noprint
+             H library 3-21g; O library 3-21g; O d; %f 1.0
+          end
+       ''' % (exponent))
+       print ' exponent = ', exponent, ' energy = ', task_energy('scf')
+       exponent = exponent + 0.1
+  end
+
+  print none
+
+  task python
+
+ +

+This program augments a 3-21g basis for water with a d-function on +oxygen and varies the exponent from 0.1 to 2.0 in steps of 0.1, +printing the exponent and energy at each step. + +

+The geometry is input as usual, but the basis set input is embedded +inside a call to input_parse() in the Python program. The +standard Python string substitution is used to put the current value of +the exponent into the basis set (replacing the %f) before being +parsed by NWChem. The energy is returned by task_energy('scf') +and printed out. The print none in the NWChem input switches +off all NWChem output so all you will see is the output from your +Python program. + +

+Note that execution in parallel may produce unwanted output since +all process execute the print statement inside the Python program. + +

+Look in the NWChem contrib directory for a routine that makes +the above task easier. + +

+ +

+ +
+36.3.3 Scanning a basis exponent revisited. +

+ +

+

+  geometry units au
+    O 0 0 0; H 0 1.430 -1.107; H 0 -1.430 -1.107
+  end
+
+  print none
+
+  python
+    if (ga_nodeid() == 0): plotdata = open("plotdata",'w')
+
+    def energy_at_exponent(exponent):
+       input_parse('''
+          basis noprint
+             H library 3-21g; O library 3-21g; O d; %f 1.0
+          end
+       ''' % (exponent))
+       return task_energy('scf')
+
+    exponent = 0.1
+    while exponent <= 2.01:
+       energy = energy_at_exponent(exponent)
+       if (ga_nodeid() == 0):
+          print ' exponent = ', exponent, ' energy = ', energy
+          plotdata.write('%f %f\n' % (exponent , energy))
+       exponent = exponent + 0.1
+
+    if (ga_nodeid() == 0): plotdata.close()
+  end
+
+  task python
+
+ +

+This input performs exactly the same calculation as the previous one, +but uses a slightly more sophisticated Python program, also writes +the data out to a file for easy visualization with a package such as +gnuplot, and protects write statements to prevent +duplicate output in a parallel job. The only significant differences +are in the Python program. A file called "plotdata" is opened, +and then a procedure is defined which given an exponent returns the +energy. Next comes the main loop that scans the exponent through the +desired range and prints the results to standard output and to the +file. When the loop is finished the additional output file is closed. + +

+ +

+36.3.4 Scanning a geometric variable +

+ +

+

+  python
+    geometry = '''
+      geometry noprint; symmetry d2h
+         C 0 0 %f; H 0  0.916 1.224
+      end
+    '''
+    x = 0.6
+    while (x < 0.721):
+      input_parse(geometry % x)
+      energy = task_energy('scf')
+      print ' x = %5.2f   energy = %10.6f' % (x, energy)
+      x = x + 0.01
+  end
+
+  basis; C library 6-31g*; H library 6-31g*; end
+
+  print none
+
+  task python
+
+ +

+This scans the bond length in ethene from 1.2 to 1.44 in steps +of 0.2 computing the energy at each geometry. Since it is using +$D_{2h}$ symmetry the program actually uses a variable (x) that is +half the bond length. + +

+Look in the NWChem contrib directory for a routine that makes +the above task easier. + +

+ +

+36.3.5 Scan using the BSSE counterpoise corrected energy +

+ +

+

+  basis spherical
+    Ne library cc-pvdz; BqNe library Ne cc-pvdz
+    He library cc-pvdz; BqHe library He cc-pvdz
+  end
+
+  mp2; tight; freeze core atomic; end
+
+  print none
+
+  python noprint
+    supermolecule = 'geometry noprint;   Ne 0 0 0;   He 0 0 %f; end\n'
+    fragment1     = 'geometry noprint;   Ne 0 0 0; BqHe 0 0 %f; end\n'
+    fragment2     = 'geometry noprint; BqNe 0 0 0;   He 0 0 %f; end\n'
+
+    def energy(geometry):
+      input_parse(geometry + 'scf; vectors atomic; end\n')
+      return task_energy('mp2')
+
+    def bsse_energy(z):
+      return energy(supermolecule % z) - \
+             energy(fragment1 % z) - \
+             energy(fragment2 % z)
+    z = 3.3
+    while (z < 4.301):
+      e = bsse_energy(z)
+      if (ga_nodeid() == 0):
+        print ' z = %5.2f   energy = %10.7f ' % (z, e)
+      z = z + 0.1
+  end
+
+  task python
+
+ +

+This example scans the He--Ne bond-length from 3.3 to 4.3 and prints out +the BSSE counterpoise corrected MP2 energy. + +

+The basis set is specified as usual, noting that we will need +functions on ghost centers to do the counterpoise correction. The +Python program commences by defining strings containing the geometry +of the super-molecule and two fragments, each having one variable to be +substituted. Next, a function is defined to compute the energy given +a geometry, and then a function is defined to compute the counterpoise +corrected energy at a given bond length. Finally, the bond length is +scanned and the energy printed. When computing the energy, the atomic +guess has to be forced in the SCF since by default it will attempt to +use orbitals from the previous calculation which is not appropriate +here. + +

+Since the counterpoise corrected energy is a linear combination of +other standard energies, it is possible to compute the analytic +derivatives term by term. Thus, combining this example and the next +could yield the foundation of a BSSE corrected geometry optimization +package. + +

+ +

+36.3.6 Scan the geometry and compute the energy and gradient +

+ +

+

+  basis noprint; H library sto-3g; O library sto-3g; end
+
+  python noprint
+    print '   y     z     energy                gradient'
+    print ' ----- ----- ---------- ------------------------------------'
+    y = 1.2
+    while y <= 1.61:
+       z = 1.0
+       while z <= 1.21:
+          input_parse('''
+             geometry noprint units atomic
+                O 0   0   0
+                H 0  %f -%f
+                H 0 -%f -%f
+             end
+          ''' % (y, z, y, z))
+
+          (energy,gradient) = task_gradient('scf')
+
+          print ' %5.2f %5.2f %9.6f' % (y, z, energy),
+          i = 0
+          while (i < len(gradient)):
+             print '%5.2f' % gradient[i],
+             i = i + 1
+          print ''
+          z = z + 0.1
+       y = y + 0.1
+  end
+
+  print none
+
+  task python
+
+ +

+This program illustrates evaluating the energy and gradient +by calling task_gradient(). A water molecule is scanned +through several $C_{2v}$ geometries by varying the y and z coordinates +of the two hydrogen atoms. At each geometry the coordinates, energy +and gradient are printed. + +

+The basis set (sto-3g) is input as usual. The two while loops vary +the y and z coordinates. These are then substituted into a geometry +which is parsed by NWChem using input_parse(). The energy and +gradient are then evaluated by calling task_gradient() which +returns a tuple containing the energy (a scalar) and the gradient (a +vector or list). These are printed out exploiting the Python +convention that a print statement ending in a comma does not print +end-of-line. + +

+ +

+36.3.7 Reaction energies varying the basis set +

+ +

+

+  mp2; freeze atomic; end
+
+  print none
+
+  python
+    energies = {}
+    c2h4 = 'geometry noprint; symmetry d2h; \
+            C 0 0 0.672; H 0 0.935 1.238; end\n'
+    ch4  = 'geometry noprint; symmetry td; \
+            C 0 0 0; H 0.634 0.634 0.634; end\n'
+    h2   = 'geometry noprint; H 0 0 0.378; H 0 0 -0.378; end\n'
+
+    def energy(basis, geometry):
+      input_parse('''
+        basis spherical noprint
+          c library %s ; h library %s 
+        end
+      ''' % (basis, basis))
+      input_parse(geometry)
+      return task_energy('mp2')
+
+    for basis in ('sto-3g', '6-31g', '6-31g*', 'cc-pvdz', 'cc-pvtz'):
+       energies[basis] =   2*energy(basis, ch4) \
+                         - 2*energy(basis, h2) - energy(basis, c2h4)
+       if (ga_nodeid() == 0): print basis, ' %8.6f' % energies[basis]
+  end 
+
+  task python
+
+ +

+In this example the reaction energy for + +$2H_2 + C_2H_4 \rightarrow 2CH_4$ is evaluated using MP2 in several +basis sets. The geometries are fixed, but could be re-optimized in +each basis. To illustrate the useful associative arrays in Python, +the reaction energies are put into the associative array +energies -- note its declaration at the top of the program. + +

+ +

+36.3.8 Using the database +

+ +

+

+  python
+    rtdb_put("test_int2", 22)
+    rtdb_put("test_int", [22, 10, 3],    INT)
+    rtdb_put("test_dbl", [22.9, 12.4, 23.908],  DBL)
+    rtdb_put("test_str", "hello", CHAR)
+    rtdb_put("test_logic", [0,1,0,1,0,1], LOGICAL)
+    rtdb_put("test_logic2", 0, LOGICAL)
+
+    rtdb_print(1)
+
+    print "test_str    = ", rtdb_get("test_str")
+    print "test_int    = ", rtdb_get("test_int")
+    print "test_in2    = ", rtdb_get("test_int2")
+    print "test_dbl    = ", rtdb_get("test_dbl")
+    print "test_logic  = ", rtdb_get("test_logic")
+    print "test_logic2 = ", rtdb_get("test_logic2")
+  end
+
+  task python
+
+ +

+This example illustrates how to access the database from Python. + +

+ +

+ +
+36.3.9 Handling exceptions from NWChem +

+ +

+

+  geometry; he 0 0 0; he 0 0 2; end
+  basis; he library 3-21g; end
+  scf; maxiter 1; end
+
+  python
+    try:
+      task_energy('scf')
+    except NWChemError, message:
+      print 'Error from NWChem ... ', message
+  end
+
+  task python
+
+ +

+The above test program shows how to handle exceptions generated by +NWChem by forcing an SCF calculation on $He_2$ to fail due to +insufficient iterations. + +

+If an NWChem command fails it will raise the exception +"NWChemError" (case sensitive) unless the error was fatal. +If the exception is not caught, then it will cause the entire Python +program to terminate with an error. This Python program catches the +exception, prints out the message, and then continues as if all was +well since the exception has been handled. + +

+If your Python program detects an error, raise an unhandled +exception. Do not call exit(1) since this may circumvent +necessary clean-up of the NWChem execution environment. + +

+ +

+ +
+36.3.10 Accessing geometry information -- a temporary hack +

+ +

+In an ideal world the geometry and basis set objects would have full +Python wrappers, but until then a back-door solution will have to +suffice. We've already seen how to use input_parse() to put +geometry (and basis) data into NWChem, so it only remains to get the +geometry data back after it has been updated by a geometry optimzation +or some other operation. + +

+The following Python procedure retrieves the coordinates in the +same units as initially input for a geometry of a given name. +Its full source is included in the NWChem contrib directory. +

+  def geom_get_coords(name):
+    try:
+      actualname = rtdb_get(name)
+    except NWChemError:
+      actualname = name
+    coords = rtdb_get('geometry:' + actualname + ':coords')
+    units  = rtdb_get('geometry:' + actualname + ':user units')
+    if (units == 'a.u.'):
+      factor = 1.0
+    elif (units == 'angstroms'):
+      factor = rtdb_get('geometry:'+actualname+':angstrom_to_au')
+    else:
+      raise NWChemError,'unknown units'
+    i = 0
+    while (i < len(coords)):
+      coords[i] = coords[i] / factor
+      i = i + 1
+    return coords
+
+ +

+A geometry (see Section 6) with name NAME has its +coordinates (in atomic units) stored in the database entry +geometry:NAME:coords. A minor wrinkle here is that +indirection is possible (and used by the optimizers) so that we must +first check if NAME actually points to another name. In the +program this is done in the first try...except sequence. With +the actual name of the geometry, we can get the coordinates. Any +exceptions are passed up to the caller. The rest of the code is just +to convert back into the initial input units -- only atomic units +or Angstrøms are handled in this simple example. Returned +is a list of the atomic coordinates in the same units as your +initial input. + +

+The routine is used as follows +

+    coords = geom_get_coords('geometry')
+
+or, if you want better error handling +
+    try:
+      coords = geom_get_coords('geometry')
+    except NWChemError,message:
+      print 'Coordinates for geometry not found ', message
+    else:
+      print coords
+
+ +

+This is very dirty and definitely not supported from one release to +another, but, browsing the output of rtdb_print() at the end of +a calculation is a good way to find stuff. To be on safer ground, +look in the programmers manual since some of the high-level routines +do pass data via the database in a well-defined and supported manner. +Be warned -- you must be very careful if you try to modify data +in the database. The input parser does many important things that are +not immediately apparent (e.g., ensure the geometry is consistent with +the point group, mark the SCF as not converged if the SCF options are +changed, ...). Where at all possible your Python program should +generate standard NWChem input and pass it to input_parse() +rather than setting parameters directly in the database. + +

+ +

+ +
+36.3.11 Scaning a basis exponent yet again -- plotting and +handling child processes +

+ +

+

+  geometry units au
+    O 0 0 0; H 0 1.430 -1.107; H 0 -1.430 -1.107
+  end
+
+  print none
+
+  python
+    import Gnuplot, time, signal
+
+    def energy_at_exponent(exponent):
+       input_parse('''
+          basis noprint
+             H library 3-21g; O library 3-21g; O d; %f 1.0
+          end
+       ''' % (exponent))
+       return task_energy('scf')
+
+    data = []
+    exponent = 0.5
+    while exponent <= 0.6:
+       energy = energy_at_exponent(exponent)
+       print ' exponent = ', exponent, ' energy = ', energy
+       data = data + [[exponent,energy]]
+       exponent = exponent + 0.02
+
+    if (ga_nodeid() == 0):
+       signal.signal(signal.SIGCHLD, signal.SIG_DFL)
+       g = Gnuplot.Gnuplot()
+       g('set data style linespoints')
+       g.plot(data)
+       time.sleep(30)  # 30s to look at the plot
+
+  end
+
+  task python
+
+ +

+This illustrates how to handle signals from terminating child +processes and how to generate simple plots on UNIX systems. The +example from Section 36.3.3 is modified so that instead of +writing the data to a file for subsequent visualization, it is saved +for subsequent visualization with Gnuplot (you'll need both Gnuplot +and the corresponding package for Python in your PYTHONPATH. +Look at http://monsoon.harvard.edu/~mhagger/download). + +

+The issue is that NWChem traps various signals from the O/S that +usually indicate bad news in order to provide better error handling +and reliable clean-up of shared, parallel resources. One of these +signals is SIGCHLD which is generated whenever a child process +terminates. If you want to create child processes within Python, then +the NWChem handler for SIGCHLD must be replaced with the +default handler. There seems to be no easy way to restore the +NWChem handler after the child has completed, but this should have +no serious side effect. + +

+ +

+36.4 Troubleshooting +

+ +

+Common problems with Python programs inside NWChem. + +

+ +

    +
  1. You get the message +
    +      0:python_input: indentation must be >= that of first line: 4
    +
    +This indicates that NWChem thinks that a line is less indented than +the first line. If this is not the case then perhaps there is a tab +in your input which NWChem treats as a single space character but +appears to you as more spaces. Try running untabify in Emacs. +The problem could also be the END directive that terminates the +PYTHON compound directive -- since Python also has an +end statement. To avoid confusion the END directive +for NWChem must be at the start of the line. + +

    +

  2. +
  3. Your program hangs or deadlocks -- most likely you have a piece +of code that is restricted to executing on a subset of the processors +(perhaps just node 0) but is calling (perhaps indirectly) a function +that must execute on all nodes. + +

    +

  4. +
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 37. Interfaces to Other + Up: user + Previous: 35. Pseudopotential plane-wave density +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node39.html b/web/doc/user.4.6/node39.html new file mode 100644 index 0000000000..99c1462d5d --- /dev/null +++ b/web/doc/user.4.6/node39.html @@ -0,0 +1,780 @@ + + + + + +37. Interfaces to Other Programs + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 38. Acknowledgments + Up: user + Previous: 36. Controlling NWChem with +   Contents +
+
+ + +Subsections + + + +
+ +

+37. Interfaces to Other Programs +

+ +

+NWChem has interfaces to several different packages which are listed below. +In general, the NWChem authors work with the authors of the other packages +to make sure that the interface works. However, any problems with the +interface should be reported to the +nwchem-users@emsl.pnl.gov e-mail list. + +

+ +

+ +
+37.1 NBO -- Natural Bond Orbital Analysis +

+
+  NBO
+    ...
+  END
+
+ +

+This directive is used to run the NBO package within NWChem. (To only print +out an input file for NBO, see Section 28.1.1.) The current +version of NBO in NWChem is version 5.0. + +

+Inside the NBO block are the typical commands that would be needed for NBO +(Please see an NBO user's manual for more information.). The following +directive is needed to execute NBO. +

+task nbo
+
+As an example: + +

+

+title "Methylamine...rhf/3-21g//Pople-Gordon standard geometry"
+
+start methylamine
+
+echo
+
+memory 8 mw
+
+basis
+ C library 3-21g
+ N library 3-21g
+ H library 3-21g
+end
+
+geometry
+ C            .052902     .711852     .000000
+ N            .052902    -.758148     .000000
+ H           -.974760    1.075185     .000000
+ H            .566733    1.075185     .889981
+ H            .566733    1.075185    -.889981
+ H           -.423217   -1.094815     .824662
+ H           -.423217   -1.094815    -.824662
+ symmetry c1
+end
+
+task SCF energy
+
+nbo
+ $nbo cmo $end
+end
+
+task nbo
+
+ +

+ +

+ +
+37.2 DIRDYVTST -- DIRect Dynamics for Variational Transition State Theory +

+ +

+by Bruce C. Garrett, +
+Environmental Molecular Sciences Laboratory, +
+Pacific Northwest Laboratory, Richland, Washington +
+
+Yao-Yuan Chuang and Donald G. Truhlar, +
+Department of Chemistry and Super Computer Institute, +
+University of Minnesota, MN 55455-0431 +
+
+and interfaced to NWChem by +
+
+Ricky A. Kendall, +
+Scalable Computing Laboratory, +
+Ames Laboratory and Iowa State University, Ames, IA 50011 +
+
+Theresa L. Windus, +
+Environmental Molecular Sciences Laboratory, +
+Pacific Northwest Laboratory, Richland, Washington + +

+If you use the DIRDYVTST portion of NWChem, please use following citation +in addition to the usual NWChem citation from Section 1: +

+DIRDYVTST, Yao-Yuan Chuang and Donald G. Truhlar, + Department of Chemistry and Super Computer Institute, + University of Minnesota; Ricky A. Kendall,Scalable Computing Laboratory, + Ames Laboratory and Iowa State University; Bruce C. Garrett and Theresa L. + Windus, Environmental Molecular Sciences Laboratory, Pacific Northwest + Laboratory. + +
+ +

+ +

+37.2.1 Introduction +

+ +

+By using DIRDYVTST, a user can carry out electronic structure calculations +with NWChem and use the resulting energies, gradients, and Hessians for +direct dynamics calculations with POLYRATE. +This program prepares the file30 input for POLYRATE +from NWChem +electronic structure calculations of energies, gradients and Hessians at the +reactant, product, and saddle point geometries and along the minimum +energy path. Cartesian geometries for the reactants, products, and +saddle points need to be input to this program; optimization of +geometries is not performed in this program. Note that DIRDYVTST is +based on the DIRDYGAUSS program +and is similar to two other programs: DDUTILITIES +and GAUSSRATE. Users of this module are +encouraged to read the +POLYRATE +manual since they will need to +create the file fu5 input to run calculations with POLYRATE. + +

+Notes about the code: + +

+Input. The code has been written to parallel, as much as possible, +the POLYRATE code. + +

+Output. There is one default output file for each DIRDYVTST run - .file30. + +

+Integrators for following the reaction path. +Currently the Euler and three Page-McIver (PM) methods +are implemented. The PM methods are the local quadratic approximation +(LQA), the corrected LQA (CLQA), and the cubic (CUBE) algorithm. +The PM methods are implemented so that the Hessian can be reused at +intermediate steps at which only the gradient is updated. + +

+ +

+37.2.2 Files +

+ +

+Test runs are located in directories in $NWCHEM_TOP/QA/tests. Test +runs are available for two systems: $H + H_2$ and $OH + H_2$. + +

+The $H + H_2$ test uses the Euler integration method at the SCF/3-21G level +of theory to calculate points along the reaction path. +This test is located in the $NWCHEM_TOP/QA/tests/h3tr1 directory. + +

+The $OH + H_2$ test uses the Page-McIver CUBE algorithm to calculate points +on the SCF/3-21G surface and does additional single point calculations at +the SCF/6-31G* level of theory. This test is located in the +$NWCHEM_TOP/QA/tests/oh3tr3 directory. + +

+Note: These tests are set up with SCF, however, other levels of +theory can be used. The initial hessian calculations at the reactants, +products and saddle point can cause some problems when numerical hessians +are required (especially when there is symmetry breaking in the wavefunction). + +

+ +

+37.2.3 Detailed description of the input +

+ +

+The input consists of keywords for NWChem and keywords related to POLYRATE +input. The first set of inputs are for NWChem with the general input block +of the form: + +

+

+  DIRDYVTST [autosym [real tol default 1d-2] | noautosym]
+    [THEORY <string theory> [basis <string basis default "ao basis">] \
+                         [ecp <string ecp>] [input <string input>]]
+    [SPTHEORY <string theory> [basis <string basis default "ao basis">] \
+                         [ecp <string ecp>] [input <string input>]]
+    ...
+  END
+
+ +

+ +

+37.2.3.1 Use of symmetry +

+The use of symmetry in the calculation is controlled by the keyword +autosym | noautosym which is used as described in the geometry +directive (see Section 6). +Autosym is on by default. A couple words of warning here. +The tolerance related to autosym can cause problems when taking the +initial step off of the transition state. If the tolerance is too large and +the initial step relatively small, +the resulting geometry will be close to a higher symmetry than is really +wanted and the molecule will be symmetrized into the higher symmetry. +To check this, the code prints out the symmetry at each geometry along the +path. It is up to the user to check the symmetry and make sure that +it is the required one. In preverse cases, the user may need to turn +autosym off (noautosym) if changing the tolerance doesn't +produce the desired results. In the case that autosym is used, the +user does not need to worry about the different alignment of the molecule +between NWChem and POLYRATE, this is taken care of internally in the +DIRDYVTST module. + +

+ +

+37.2.3.2 Basis specification +

+The basis name on the theory or sptheory directive is that +specified on a basis set directive (see Section 7) and +not the name of a standard basis in the library. If not +specified, the basis set for the sptheory defaults to the +theory basis which defaults to "ao basis". + +

+ +

+37.2.3.3 Effective core potentials +

+If an effective core potential is specified in the usual fashion (see +Section 8) outside of the DIRDYVTST input then this will be +used in all calculations. If an alternative ECP name (the name +specified on the ECP directive in the same manner as done for basis +sets) is specified on one of the theory directives, then this ECP will +be used in preference for that level of theory. + +

+ +

+37.2.3.4 General input strings +

+ +

+For many purposes, the ability to specify the theory, basis and +effective core potential is adequate. All of the options for each +theory are determined from their independent input blocks. However, +if the same theory (e.g., DFT) is to be used with different options +for theory and sptheory, then the general input strings must +be used. These strings are processed as NWChem input each time the +theoretical calculation is invoked. The strings may contain any NWChem +input, except for options pertaining to DIRDYVTST and the task directive. +The intent is that the strings be used just to control the options +pertaining to the theory being used. + +

+A word of caution. Be sure to check that the options are producing +the desired results. Since the NWChem database is persistent, +the input strings should fully define the calculation you wish to have happen. + +

+For instance, if the theory model is DFT/LDA/3-21g and the +sptheory model is DFT/B3LYP/6-311g**, the DIRDYVTST input might look like this +

+    dirdyvtst
+      theory  dft basis 3-21g    input "dft\; xc\; end"
+      sptheory dft basis 6-311g** input "dft\; xc b3lyp\; end"
+      ....
+    end
+
+The empty XC directive restores the default LDA +exchange-correlation option (see Section 11.3). Note that +semi-colons and other quotation marks inside the input string must be +preceded by a backslash to avoid special interpretation. + +

+ +

+37.2.3.5 POLYRATE related options +

+ +

+These keyword options are simlar to the POLYRATE input format, except there +are no ENERGETICS, OPTIMIZATION, SECOND, TUNNELING, and RATE sections. + +

+ +

+37.2.3.5.1 GENERAL section +

+ +

+The GENERAL section has the following format: + +

+

+*GENERAL
+  [TITLE <string title>]
+  ATOMS
+    <integer num> <string tag> [<real mass>]
+    ...
+  END
+  [SINGLEPOINT]
+  [SAVEFILE (vecs || hess || spc)
+
+ +

+Descriptions + +

+TITLE is a keyword that allows the user to input a description of + the calculation. In this version, the user can only have a + single-line description. + +

+For example: + TITLE Calculation of D + HCl reaction + +

+ATOMS is a list keyword that is used to input a list of + the atoms. It is similar to POLYRATE in that the order of the + atom and the atomic symbol are required in a single line. If + isotope of the element is considered then the atomic mass is + required in units of amu. + +

+For example: +

+                          ATOMS
+                            1     H     2.014
+                            2     H 
+                            3     Cl
+                          END
+
+ +

+SINGLEPOINT is a keyword that specifies that a single + point calculation is to be performed at the reactants, + products and saddle point geometries. The type of + single point calculation is specified in the sptheory + line. + +

+SAVEFILE is a keyword that specifies that NWChem files + are to be saved. Allowed values of variable input to + SAVEFILE are vecs, hess, and spc for saving the files + base theory movecs, base theory hessian and singlepoint + calculation movecs. + +

+ +

+37.2.3.5.2 REACT1, REACT2, PROD1, PROD2, and START sections +

+ +

+These sections have the following format: +

+*(REACT1 || REACT2 || PROD1 || PROD2 || START)
+  GEOM
+    <integer num> <real x y z>
+    ...
+  END
+  SPECIES (ATOMIC || LINRP || NONLINRP || LINTS || NONLINTS default NONLINRP)
+
+ +

+REACT1 and REACT2 are input for each of the reactants and PROD1 and PROD2 + are input for each of the products. REACT1 and PROD1 are required. START + is the input for the transition state if one exists, or starting point to + follow downhill the MEP. + +

+Descriptions + +

+GEOM is a list keyword that indicates the geometry of the molecule + in Cartesian coordinates with atomic unit. + +

+For example: +

+                          GEOM
+                             1      0.0     0.0     0.0
+                             2      0.0     0.0     1.5
+                          END
+
+ +

+SPECIES is a variable keyword that indicates the type of the + molecule. Options are: ATOMIC (atomic reactant or product), + LINRP (linear reactant or product), NONLINRP + (nonlinear reactant or product), LINTS (linear transition + state), and NONLINTS (nonlinear transition state). + +

+For example: + SPECIES atomic + +

+ +

+37.2.3.5.3 PATH section +

+ +

+The Path section has the format: + +

+

+*PATH
+  [SCALEMASS <real scalemass default 1.0>]
+  [SSTEP <real sstep default 0.01>]
+  [SSAVE <real ssave default 0.1>]
+  [SHESS <real shess default SSAVE>]
+  [SLP <real slp default 1.0>]
+  [SLM <real slm default -1.0>]
+  [SIGN (REACTANT || PRODUCT default REACTANT)]
+  [INTEGRA (EULER || LQA || CLQA || CUBE default EULER)]
+  [PRINTFREQ (on || off default off)]
+
+ +

+Descriptions + +

+SCALEMASS is a variable keyword that indicates the arbitrary + mass (in amu) used for mass-scaled Cartesian coordinates. + This is the variable called mu in published papers. Normally, + this is taken as either 1.0 amu or, for bimolecular reactions, + as the reduced mass of relative translation of the reactants. + +

+SSTEP is a variable keyword that indicates the numerical step + size (in bohrs) for the gradient grid. This is the step + size for following the minimum energy path. + +

+SSAVE is a variable keyword that indicates the numerical step + size (in bohrs) for saving the Hessian grid. At each + save point the potential and its first and second + derivatives are recalculated and written to the .file30 + file. For example, if SSTEP=0.01 and SSAVE=0.1, then the + potential information is written to .file30 every 10 + steps along the gradient grid. + +

+SHESS is a variable keyword that indicates the numerical step + size (in bohrs) for recomputing the Hessian when using a + Page-McIver integrator (e.g., LQA, CLQA, or CUBE). For + Euler integration SHESS = SSAVE. For intermediate points + along the gradient grid, the Hessian matrix from the + last Hessian calculation is reused. For example, if + SSTEP=0.01 and SHESS=0.05, then the Hessian matrix is + recomputed every 5 steps along the gradient grid. + +

+SLP is a variable keyword that indicates the positive limit of + the reaction coordinate (in bohrs). + +

+SLM is a variable keyword that indicates the negative limit of + the reaction coordinate (in bohrs). + +

+SIGN is a variable keyword used to ensure the conventional definition + of the sign of s, $s < 0$ for the reactant side and + $s > 0$ for the product side, is followed. PRODUCT + should be used if the eigenvector at the saddle point points + toward the product side and REACTANT if the + eigenvector points toward the reactant side. + +

+INTEGRA is a variable keyword that indicates the integration + method used to follow the reaction path. Options are: EULER, + LQA, CLQA, and CUBE. + +

+PRINTFREQ is a variable keyword that indicates that projected + frequencies and eigenvectors will be printed along the MEP. + +

+ +

+37.2.3.6 Restart +

+ +

+DIRDYVTST calculations should be restarted through the normal NWChem +mechanism (See Section 5.1). The user needs to change the +start directive to a restart directive and get rid of any +information that will overwrite important information in the RTDB. The +file.db and file.file30 need to be available for the +calculation to restart properly. + +

+ +

+37.2.3.7 Example +

+ +

+This is an example that creates the file30 file for POLYRATE for $H + H_2$. +Note that the multiplicity is that of the entire supermolecule, a doublet. +In this example, the initial energies, gradients, and Hessians are calculated +at the UHF/3-21G level of theory and the singlepoint calculations are +calculated at the MP2/cc-pVDZ level of theory with a tighter convergence +threshold than the first SCF. + +

+

+start h3test
+
+basis
+ h library 3-21G
+end
+
+basis singlepoint
+ h library cc-pVDZ
+end
+
+scf
+   uhf
+   doublet
+   thresh 1.0e-6
+end
+
+dirdyvtst autosym 0.001
+  theory scf input "scf; uhf; doublet; thresh 1.0e-06; end"
+  sptheory mp2 basis singlepoint input \
+    "scf; uhf; doublet; thresh 1.0e-07; end"
+*GENERAL
+  TITLE
+    Test run: H+H2 reaction, Page-McIver CLQA algorithm, no restart
+
+  ATOMS
+     1    H
+     2    H
+     3    H
+  END
+
+  SINGLEPOINT
+
+*REACT1
+   GEOM
+     1  0.0   0.0   0.0
+     2  0.0   0.0   1.3886144
+   END
+
+   SPECIES LINRP
+
+*REACT2
+  GEOM
+    3    0.0   0.0 190.3612132
+  END
+
+  SPECIES  ATOMIC
+
+*PROD2
+  GEOM
+    1   0.0   0.0 190.3612132
+  END
+
+  SPECIES   ATOMIC
+
+*PROD1
+
+  GEOM
+    2  0.0   0.0   1.3886144
+    3   0.0   0.0   0.0
+  END
+
+  SPECIES  LINRP
+
+*START
+
+  GEOM
+    1  0.0   0.0  -1.76531973
+    2  0.0   0.0   0.0
+    3  0.0   0.0   1.76531973
+  END
+
+  SPECIES  LINTS
+
+*PATH
+  SSTEP  0.05
+  SSAVE  0.05
+  SLP    0.50
+  SLM   -0.50
+  SCALEMASS 0.6718993
+  INTEGRA   CLQA
+end
+
+task dirdyvtst
+
+ +

+ +


+ + +next + +up + +previous + +contents +
+ Next: 38. Acknowledgments + Up: user + Previous: 36. Controlling NWChem with +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node4.html b/web/doc/user.4.6/node4.html new file mode 100644 index 0000000000..77bc3e4468 --- /dev/null +++ b/web/doc/user.4.6/node4.html @@ -0,0 +1,689 @@ + + + + + +2. Getting Started + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 3. NWChem Architecture + Up: user + Previous: 1. Introduction +   Contents +
+
+ + +Subsections + + + +
+ +

+2. Getting Started +

+ +

+This section provides an overview of NWChem input and program +architecture, and the syntax used to describe the input. See Sections +2.2 and 2.3 for examples of NWChem +input files with detailed explanation. + +

+NWChem consists of independent modules that perform the various +functions of the code. Examples of modules include the input parser, +SCF energy, SCF analytic gradient, DFT energy, etc.. Data is passed +between modules and saved for restart using a disk-resident database +or dumpfile (see Section 3). + +

+The input to NWChem is composed of commands, called directives, which +define data (such as basis sets, geometries, and filenames) and the +actions to be performed on that data. Directives are processed in the order +presented in the input file, with the exception of certain start-up +directives (see Section 2.1) which provide +critical job control information, and are processed before all other +input. Most directives are specific to a particular module and define +data that is used by that module only. A few directives (see Section +5) potentially affect all modules, for instance by +specifying the total electric charge on the system. + +

+There are two types of directives. Simple directives consist of one +line of input, which may contain multiple fields. Compound directives +group together multiple simple directives that are in some way +related and are terminated with an END directive. See the +sample inputs (Sections 2.2, 2.3) +and the input syntax specification (Section 2.4). + +

+All input is free format and case is ignored except for actual data +(e.g., names/tags of centers, titles). Directives or blocks of +module-specific directives (i.e., compound directives) can appear in +any order, with the exception of the TASK directive (see +sections 2.1 and 5.10) which is used to +invoke an NWChem module. All input for a given task must +precede the TASK directive. This input specification rule +allows the concatenation of multiple tasks in a single NWChem input +file. + +

+To make the input as short and simple as possible, most options have +default values. The user needs to supply input only for those items that +have no defaults, or for items that must be different from the defaults +for the particular application. In the discussion of each directive, the +defaults are noted, where applicable. + +

+The input file structure is described in the following sections, and +illustrated with two examples. The input format and syntax for directives +is also described in detail. + +

+ +

+ +
+2.1 Input File Structure +

+ +

+The structure of an input file reflects the internal structure of +NWChem. At the beginning of a calculation, NWChem needs to determine +how much memory to use, the name of the database, whether it is a new or +restarted job, where to put scratch/permanent files, +etc.. It is not necessary to put this information at the top of the +input file, however. NWChem will read through the entire input +file looking for the start-up directives. In this first pass, all other +directives are ignored. + +

+The start-up directives are + +

    +
  • START +
  • +
  • RESTART +
  • +
  • SCRATCH_DIR +
  • +
  • PERMANENT_DIR +
  • +
  • MEMORY +
  • +
  • ECHO +
  • +
+ +

+After the input file has been scanned for the start-up directives, it +is rewound and read sequentially. Input is processed either by the +top-level parser (for the directives listed in Section +5, such as TITLE, SET, ...) or by +the parsers for specific computational modules (e.g., SCF, DFT, +...). Any directives that have already been processed (e.g., +MEMORY) are ignored. Input is read until a TASK +directive (see Section 5.10) is encountered. A TASK +directive requests that a calculation be performed and specifies the level +of theory and the operation to be performed. Input processing then +stops and the specified task is executed. The position of the +TASK directive in effect marks the end of the input for that +task. Processing of the input resumes upon the successful completion +of the task, and the results of that task are available to subsequent +tasks in the same input file. + +

+The name of the input file is usually provided as an argument to the +execute command for NWChem. That is, the execute command looks +something like the following; + +

+

+  nwchem input_file
+
+ +

+The default name for the input file is nwchem.nw. If an input +file name input_file is specified without an extension, the +code assumes .nw as a default extension, and the input filename +becomes input_file.nw. If the code cannot locate a file named +either input_file or input_file.nw (or nwchem.nw +if no file name is provided), an error is reported and execution +terminates. The following section presents two input files to +illustrate the directive syntax and input file format for NWChem +applications. + +

+ +

+ +
+2.2 Simple Input File -- SCF geometry optimization +

+ +

+A simple example of an NWChem input file is an SCF geometry optimization of +the nitrogen molecule, using a Dunning cc-pvdz basis set. This input +file contains the bare minimum of information the user must specify +to run this type of problem -- fewer than ten lines of input, +as follows: +

+  title "Nitrogen cc-pvdz SCF geometry optimization"
+  geometry  
+    n 0 0 0
+    n 0 0 1.08
+  end
+  basis
+    n library cc-pvdz
+  end
+  task scf optimize
+
+ +

+Examining the input line by line, it can be seen that it contains +only four directives; TITLE, GEOMETRY, BASIS, and +TASK. The TITLE directive is optional, and is provided +as a means for the user to more easily identify outputs from different +jobs. An initial geometry is specified in Cartesian coordinates and +Angstrøms by means of the GEOMETRY directive. The Dunning +cc-pvdz basis is obtained from the NWChem basis library, as specified +by the BASIS directive input. The TASK directive requests +an SCF geometry optimization. + +

+The GEOMETRY directive (Section 6) defaults to Cartesian +coordinates and Angstrøms (options include atomic units and +Z-matrix format; see Section 6.4). The input blocks for the BASIS +and GEOMETRY directives are structured in similar fashion, +i.e., name, keyword, ..., end (In this simple example, there are no keywords). The BASIS input block must contain basis set information for +every atom type in the geometry with which it will be used. +Refer to Sections 7 and 8, and Appendix +A for a description of available basis sets and a +discussion of how to define new ones. + +

+The last line of this sample input file (task scf optimize) +tells the program to optimize the molecular geometry by minimizing +the SCF energy. (For a description of possible tasks and the format +of the TASK directive, refer to Section 5.10.) + +

+If the input is stored in the file n2.nw, the command to run +this job on a typical UNIX workstation is as follows: + +

+

+  nwchem n2
+
+ +

+NWChem output is to UNIX standard output, and error messages are sent to +both standard output and standard error. + +

+ +

+ +
+2.3 Water Molecule Sample Input File +

+ +

+A more complex sample problem is the optimization of a positively +charged water molecule using second-order Møller-Plesset +perturbation theory (MP2), followed by a computation of frequencies at +the optimized geometry. A preliminary SCF geometry optimization is +performed using a computationally inexpensive basis set (STO-3G). +This yields a good starting guess for the optimal geometry, and any +Hessian information generated will be used in the next optimization +step. Then the optimization is finished using MP2 and a basis set +with polarization functions. The final task is to calculate the +MP2 vibrational frequencies. The input file to accomplish these three +tasks is as follows: + +

+

+start h2o_freq
+
+charge 1
+
+geometry units angstroms
+  O       0.0  0.0  0.0
+  H       0.0  0.0  1.0
+  H       0.0  1.0  0.0
+end
+
+basis
+  H library sto-3g
+  O library sto-3g
+end
+
+scf
+  uhf; doublet
+  print low
+end
+
+title "H2O+ : STO-3G UHF geometry optimization"
+
+task scf optimize
+
+basis
+  H library 6-31g**
+  O library 6-31g**
+end
+
+title "H2O+ : 6-31g** UMP2 geometry optimization"
+
+task mp2 optimize
+
+mp2; print none; end
+scf; print none; end
+
+title "H2O+ : 6-31g** UMP2 frequencies"
+
+task mp2 freq
+
+ +

+The START directive (Section 5.1) tells NWChem that +this run is to be started from the beginning. This directive need not +be at the beginning of the input file, but it is commonly placed there. +Existing database or vector files are to be ignored or overwritten. +The entry h2o_freq on the START line is the prefix to be used +for all files created by the calculation. This convention allows +different jobs to run in the same directory or to share the same +scratch directory (see Section 5.2), as long as they use +different prefix names in this field. + +

+As in the first sample problem, the geometry is given in Cartesian +coordinates. In this case, the units are specified as Angstrøms. +(Since this is the default, explicit specification of the units is not +actually necessary, however.) The CHARGE directive defines the +total charge of the system. This calculation is to be done on an ion +with charge +1. + +

+A small basis set (STO-3G) is specified for the intial geometry +optimization. Next, the multiple lines of the first SCF +directive in the scf ...end block specify details about the +SCF calculation to be performed. Unrestricted Hartree-Fock is chosen +here (by specifying the keyword uhf), rather than the default, +restricted open-shell high-spin Hartree-Fock (ROHF). This is +necessary for the subsequent MP2 calculation, because only UMP2 is +currently available for open-shell systems (see Section +4). For open-shell systems, the spin +multiplicity has to be specified (using doublet in this case), +or it defaults to singlet. The print level is set to low +to avoid verbose output for the starting basis calculations. + +

+All input up to this point affects only the settings in the runtime +database. The program takes its information from this database, so +the sequence of directives up to the first TASK directive is +irrelevant. An exchange of order of the different blocks or +directives would not affect the result. The TASK directive, +however, must be specified after all relevant input for a given +problem. The TASK directive causes the code to perform the +specified calculation using the parameters set in the preceding +directives. In this case, the first task is an SCF calculation with +geometry optimization, specified with the input scf and optimize. (See Section 5.10 for a list of available +tasks and operations.) + +

+After the completion of any task, settings in the database are used in +subsequent tasks without change, unless they are overridden by new +input directives. In this example, before the second task +(task mp2 optimize), + a better basis set (6-31G**) is defined and the title +is changed. The second TASK directive invokes an MP2 geometry +optimization. + +

+Once the MP2 optimization is completed, the geometry obtained in the +calculation is used to perform a frequency calculation. This task is +invoked by the keyword freq in the final TASK directive, +task mp2 freq. The second derivatives of the energy are +calculated as numerical derivatives of analytical gradients. The +intermediate energies and gradients are not of interest in +this case, so output from the SCF and MP2 modules is disabled with the +PRINT directives. + +

+ +

+ +
+2.4 Input Format and Syntax for Directives +

+ +

+This section describes the input format and the syntax used in the +rest of this documentation to describe the format of directives. The +input format for the directives used in NWChem is similar to that of +UNIX shells, which is also used in other chemistry packages, most +notably GAMESS-UK. An input line is parsed into whitespace (blanks or +tabs) separating tokens or fields. Any token that contains whitespace +must be enclosed in double quotes in order to be processed correctly. +For example, the basis set with the descriptive name +modified Dunning DZ must appear in a directive as +"modified Dunning DZ", since the name consists of three separate words. + +

+ +

+2.4.1 Input Format +

+ +

+A (physical) line in the input file is terminated with a newline +character (also known as a `return' or `enter' character). A +semicolon (;) can be also used to indicate the end of an input +line, allowing a single physical line of input to contain multiple +logical lines of input. For example, five lines of input for the +GEOMETRY directive can be entered as follows; +

+  geometry
+   O 0  0     0
+   H 0  1.430 1.107
+   H 0 -1.430 1.107
+  end
+
+These same five lines could be entered on a single line, as +
+  geometry; O 0 0 0; H 0 1.430 1.107; H 0 -1.430 1.107; end
+
+This one physical input line comprises five logical +input lines. Each logical or physical input line must be no longer +than 1023 characters. + +

+In the input file: + +

    +
  • a string, token, or field is a sequence of ASCII characters + (NOTE: if the string includes blanks or tabs (i.e., white space), + the entire string must be enclosed in double quotes). +
  • +
  • \ (backslash) at the end of a line concatenates it with + the next line. Note that a space character is automatically + inserted at this point so that it is not possible to split + tokens across lines. A backslash is also used to quote special + characters such as whitespace, semi-colons, and hash symbols so as + to avoid their special meaning (NOTE: these special symbols must be + quoted with the backslash even when enclosed within double quotes). +
  • +
  • ; (semicolon) is used to mark the end of a logical input + line within a physical line of input. +
  • +
  • # (the hash or pound symbol) is the comment character. + All characters following # (up to the end of the physical + line) are ignored. +
  • +
  • If any input line (excluding Python programs, Section +36) begins with the string INCLUDE (ignoring +case) and is followed by a valid file name, then the data in that file +are read as if they were included into the current input file at the +current line. Up to three levels of nested include files are +supported. The user should note that inputting a basis set from the +standard basis library (Section 7) uses one level of +include. +
  • +
  • Data is read from the input file until an end-of-file is detected, or +until the string EOF (ignoring case) is encountered at the +beginning of an input line. +
  • +
+ +

+ +

+2.4.2 Format and syntax of directives +

+ +

+Directives consist of a directive name, keywords, and optional input, +and may contain one line or many. Simple directives consist of a +single line of input with one or more fields. Compound directives can +have multiple input lines, and can also include other optional simple +and compound directives. A compound directive is terminated with an +END directive. The directives START (see Section 5.1) and +ECHO (see Section 5.4) are examples of simple directives. +The directive GEOMETRY (see Section 6) is an example of a +compound directive. + +

+Some limited checking of the input for self-consistency is performed +by the input module, but most defaults are imposed by the application +modules at runtime. It is therefore usually impossible to determine +beforehand whether or not all selected options are consistent with +each other. + +

+ +

+In the rest of this document, the following notation and syntax +conventions are used in the generic descriptions of the NWChem input. + +

    +
  • a directive name always appears in all-capitals, and in computer + typeface (e.g., GEOMETRY, BASIS, SCF). Note + that the case of directives and keywords is ignored in the actual + input. +
  • +
  • a keyword always appears in lower case, in computer typeface + (e.g., swap, print, units, bqbq). +
  • +
  • variable names always appear in lower case, in computer + typeface, and enclosed in angle brackets to distinguish them from + keywords (e.g., <input_filename>, <basisname>, <tag>). +
  • +
  • $variable$ is used to indicate the substitution of the + value of a variable. +
  • +
  • () is used to group items (the parentheses and other + special symbols should not appear in the input). +
  • +
  • || separate exclusive options, parameters, or formats. +
  • +
  • [ ] enclose optional entries that have a default value. +
  • +
  • < > enclose a type, a name of a value to be specified, or + a default value, if any. +
  • +
  • \ is used to concatenate lines in a description. +
  • +
  • ... is used to indicate indefinite continuation of a + list. +
  • +
+ +

+ +

+An input parameter is identified in the description of the directive +by prefacing the name of the item with the type of data expected, +i.e., + +

    +
  • string - an ASCII character string +
  • +
  • integer - integer value(s) for a variable or an array +
  • +
  • logical - true/false logical variable +
  • +
  • real - real floating point value(s) for a variable or an array +
  • +
  • double - synonymous with real +
  • +
+ +

+If an input item is not prefaced by one of these type names, +it is assumed to be of type ``string''. + +

+In addition, integer lists may be specified using Fortran triplet +notation, which interprets lo:hi:inc as lo, lo+inc, +lo+2*inc, ..., hi. For example, where a list of +integers is expected in the input, the following two lines are +equivalent +

+   7 10 21:27:2 1:3 99
+   7 10 21 23 25 27 1 2 3 99
+
+(In Fortran triplet notation, the increment, if unstated, is 1; e.g., 1:3 = 1:3:1.) + +

+The directive VECTORS (Section 10.5) is presented here +as an example of an NWChem input directive. The general form of the +directive is as follows: +

+  VECTORS [input (<string input_movecs default atomic>) || \
+                   (project <string basisname> <string filename>)] \
+          [swap [(alpha||beta)] <integer vec1 vec2> ...] \
+          [output <string output_movecs default $file_prefix$.movecs>]
+
+ +

+This directive contains three optional keywords, as indicated by the +three main sets of square brackets enclosing the keywords input, +swap, and output. The keyword input allows the +user to specify the source of the molecular orbital vectors. +There are two mutually exclusive options for +specifying the vectors, as indicated by the || symbol +separating the option descriptions; +

+  (<string input_movecs default atomic>) || \
+                  (project <string basisname> <string filename>) \
+
+ +

+The first option, (<string input_movecs default atomic>), +allows the user to specify an ASCII character string for the parameter +input_movecs. If no entry is specified, the code uses the +default atomic (i.e., atomic guess). The second option, +(project <string basisname> <string filename>), contains the +keyword project, which takes two string arguments. When this +keyword is used, the vectors in file <filename> will be +projected from the (smaller) basis <basisname> into the current +atomic orbital (AO) basis. + +

+The second keyword, swap, allows the user to re-order the +starting vectors, specifying the pairs of vectors to be swapped. As +many pairs as the user wishes to have swapped can be listed for <integer vec1 vec2 ... >. The optional keywords alpha and +beta allow the user to swap the alpha or beta spin orbitals. + +

+The third keyword, output, allows the user to tell the code +where to store the vectors, by specifying an ASCII string for the +parameter output_movecs. If no entry is specified for this +parameter, the default is to write the vectors back into either the +user- specified MO vectors input file or, if this is not available, +the file $file_prefix$.movecs. + +

+A particular example of the VECTORS directive is shown below. +It specifies both the input and output keywords, but +does not use the swap option. +

+  vectors input project "small basis" small_basis.movecs \
+          output large_basis.movecs
+
+This directive tells the code to generate input vectors by projecting +from vectors in a smaller basis named "small basis", which is +stored in the file small_basis.movecs. The output vectors will +be stored in the file large_basis.movecs. + +

+The order of keyed optional entries within a directive should not +matter, unless noted otherwise in the specific instructions for a +particular directive. + +

+


+ + +next + +up + +previous + +contents +
+ Next: 3. NWChem Architecture + Up: user + Previous: 1. Introduction +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node40.html b/web/doc/user.4.6/node40.html new file mode 100644 index 0000000000..4f9dcdeb66 --- /dev/null +++ b/web/doc/user.4.6/node40.html @@ -0,0 +1,103 @@ + + + + + +38. Acknowledgments + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: A. Standard Basis Sets + Up: user + Previous: 37. Interfaces to Other +   Contents +
+
+ + +

+38. Acknowledgments +

+ +

+This work was supported by funds from the Environmental and Molecular +Sciences Laboratory Construction Project at Pacific Northwest National +Laboratory. Development of some of the parallel programming tools and +algorithms employed by NWChem was performed under the auspices of the +High Performance Computing and Communications Program of the +Mathematical, Information, and Computational Sciences Division, U.S. Department of Energy. Pacific Northwest National Laboratory is +operated by Battelle Memorial Institute for the U.S. Department of +Energy under Contract DE-AC06-76RLO 1830. + +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: A. Standard Basis Sets + Up: user + Previous: 37. Interfaces to Other +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node41.html b/web/doc/user.4.6/node41.html new file mode 100644 index 0000000000..7961717dc0 --- /dev/null +++ b/web/doc/user.4.6/node41.html @@ -0,0 +1,1503 @@ + + + + + +A. Standard Basis Sets + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: B. Sample input files + Up: user + Previous: 38. Acknowledgments +   Contents +
+
+ + +

+A. Standard Basis Sets +

+ +

+Basis sets and effective core potentials were obtained (1/1/2002) from +the Extensible Computational Chemistry Environment (ECCE) Basis Set +Database, as developed and distributed by the Molecular Science +Computing Facility, Environmental and Molecular Sciences Laboratory +which is part of the Pacific Northwest National Laboratory, P.O. Box +999, Richland, Washington 99352, USA, and is funded by the +U.S. Department of Energy. The Pacific Northwest National Laboratory +is a multi-program laboratory operated by Battelle Memorial Institute +for the U.S. Department of Energy under contract DE-AC06-76RLO. +Contact David Feller (df_feller@pnl.gov) or Deborah Gracio +(gracio@pnl.gov) for further information. + +

+The names in the NWChem library are consistent with those in the ECCE +database and thus may include spaces. The standard NWChem input +routines require that strings including spaces are enclosed in +quotation marks ("...") or that blanks are escaped with a +backslash. As a convenience, basis set names may also have the blanks +replaced with underscores. Thus, the following all yield the same +basis set for oxygen +

+  oxygen library "DZP + Diffuse (Dunning)"
+  oxygen library DZP\ +\ Diffuse\ (Dunning)
+  oxygen library DZP_+_Diffuse_(Dunning)
+
+ +

+Case may be ignored when specifying basis set names, but otherwise +names should be specified exactly as provided below. A good method is +just to cut/paste from the WWW pages since they were generated +electronically from the library source. + +

+Errors found in the basis set library of NWChem version 4.4 have been corrected in +the current library of NWChem version 4.6. The changes are listed below: + +

+ +

    +
  1. Basis Set "Stuttgart RLC ECP"
    +Element: I
    +Effective core potential has been changed and now conforms to the published from by Bergner et al. (Mol. Phys. 1993). + +

    +

  2. +
+ +

+Errors found in the basis set library of NWChem version 4.0 have been corrected in +the current library of NWChem version 4.1. The changes are listed below: + +

+ +

    +
  1. Basis Set "aug-cc-pVTZ"
    +Element: Br
    +Correction of the diffuse s-exponent from 0.041601 to 0.045593. + +

    +

  2. +
  3. Basis Set "cc-pV5Z"
    +Element: Ar
    +Questionable contraction coefficients were replaced with HF AO's. + +

    +

  4. +
  5. Basis Set "Stuttgart RSC 1997 ECP"
    +Element: Ba
    +This basis was called Stuttgart RSC ECP in version 4.0. + The 4th s- and p-primitive are now uncontracted. + +

    +

  6. +
  7. ECP "LANL2DZ ECP"
    +Element: K and Ca
    +The ECP was defined with a core of 18 electrons, inconsistent with the other + elements in this series (3d has 10 electron core). The ECP has been replaced + with the Hay-Wadt ECP used in Hay-Wadt VDZ. + +

    +

  8. +
+ +

+IMPORTANT NOTE: +The Stuttgart basis set and ECP developers have recently developed a new set of +Stuttgart RSC ECP's for the Lanthanide series of elements. This new set is +now called "Stuttgart RSC ECP", while the previous, and most widely used, +set has been renamed to "Stuttgart RSC 1997 ECP" in both the EMSL Basis Set +library and in the NWChem basis set library. + +

+Relativistic contractions of standard basis sets for use in the Douglas-Kroll +and Dyall-modified-Dirac method have also been included in the library. These +are identified by tags following the standard basis set name.
+ +

+For the Douglas-Kroll method the tag dk should be specified: + +

+

+  oxygen library cc-pVDZ_DK
+
+ +

+For the Dyall-modified-Dirac (DMD) method three tags should be specified. The +first is a tag for the nuclear model, which can be pt or fi for +a point or a finite Gaussian model (see Section6). The second +is a tag for the relativistic Hamiltonian: sf is for the spin-free +modified Dirac Hamiltonian. The third tags the component type, fw for +the atomic FW transformed large component, lc for the large component +and sc for the small component: +

+    oxygen library cc-pvdz_pt_sf_fw
+    oxygen library cc-pvdz_pt_sf_lc
+
+Basis sets which are available with either the DmD or DK contractions are +indicated in the list below. Additional DmD basis sets are available in the +directory nwchem/contrib/basissets/Dyall_DMD. + +

+Here is a list of known all-electron non-relativistic, DK and DmD basis sets, +effective core potentials with their respective basis sets, fitting basis sets, +and Polarization, Diffuse and Core-valence sets of functions, +along with the elements included for each. Additional information about each +basis set in the NWChem library can be obtained from the online +EMSL Gaussian Basis Set library. + +

+Standard all-electron basis sets: + +

+ +

    +
  1. Basis Set "STO-2G" (number of atoms 21)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sr + +

    +

  2. +
  3. Basis Set "STO-3G" (number of atoms 53)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn + Sb Te I + +

    +

  4. +
  5. Basis Set "STO-6G" (number of atoms 36)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn Ga Ge As Se Br Kr + +

    +

  6. +
  7. Basis Set "STO-3G*" (number of atoms 18)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  8. +
  9. Basis Set "3-21G" (number of atoms 55)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn + Sb Te I Xe Cs + +

    +

  10. +
  11. Basis Set "3-21++G" (number of atoms 18)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  12. +
  13. Basis Set "3-21G*" (number of atoms 18)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  14. +
  15. Basis Set "3-21++G*" (number of atoms 18)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  16. +
  17. Basis Set "3-21GSP" (number of atoms 18)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  18. +
  19. Basis Set "4-22GSP" (number of atoms 18)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  20. +
  21. Basis Set "4-31G" (number of atoms 13)
    +H He Li Be B C N O F Ne P S Cl + +

    +

  22. +
  23. Basis Set "6-31G" (number of atoms 30)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn + +

    +

  24. +
  25. Basis Set "6-31G*" (number of atoms 30)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn + +

    +

  26. +
  27. Basis Set "6-31G**" (number of atoms 30)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn + +

    +

  28. +
  29. Basis Set "6-31++G" (number of atoms 20)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca + +

    +

  30. +
  31. Basis Set "6-31++G*" (number of atoms 18)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  32. +
  33. Basis Set "6-31++G**" (number of atoms 18)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  34. +
  35. Basis Set "6-31+G*" (number of atoms 18)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  36. +
  37. Basis Set "6-31G(3df,3pd)" (number of atoms 18)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  38. +
  39. Basis Set "6-31G-Blaudeau" (number of atoms 2)
    +K Ca + +

    +

  40. +
  41. Basis Set "6-31G*-Blaudeau" (number of atoms 2)
    +K Ca + +

    +

  42. +
  43. Basis Set "6-311G" (number of atoms 25)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr I + +

    +

  44. +
  45. Basis Set "6-311G*" (number of atoms 25)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr I + +

    +

  46. +
  47. Basis Set "6-311G**" (number of atoms 25)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr I + +

    +

  48. +
  49. Basis Set "6-311++G**" (number of atoms 10)
    +H He Li Be B C N O F Ne + +

    +

  50. +
  51. Basis Set "6-311++G(2d,2p)" (number of atoms 20)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca + +

    +

  52. +
  53. Basis Set "6-311G(2df,2pd)" (number of atoms 12)
    +H He Li Be B C N O F Ne K Ca + +

    +

  54. +
  55. Basis Set "6-311+G*" (number of atoms 10)
    +H He Li Be B C N O F Ne + +

    +

  56. +
  57. Basis Set "6-311++G(3df,3pd)" (number of atoms 18)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  58. +
  59. Basis Set "MINI (Huzinaga)" (number of atoms 20)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca + +

    +

  60. +
  61. Basis Set "MINI (Scaled)" (number of atoms 20)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca + +

    +

  62. +
  63. Basis Set "MIDI (Huzinaga)" (number of atoms 19)
    +H He Li Be B C N O F Ne Na Al Si P S Cl Ar K Cs + +

    +

  64. +
  65. Basis Set "MIDI!" (number of atoms 11)
    +H C N O F Si P S Cl Br I + +

    +

  66. +
  67. Basis Set "SV (Dunning-Hay)" (number of atoms 9)
    +H Li Be B C N O F Ne + +

    +

  68. +
  69. Basis Set "SVP (Dunning-Hay)" (number of atoms 9)
    +H Li Be B C N O F Ne + +

    +

  70. +
  71. Basis Set "SVP + Diffuse (Dunning-Hay)" (number of atoms 9)
    +H Li Be B C N O F Ne + +

    +

  72. +
  73. Basis Set "TZ (Dunning)" (number of atoms 8)
    +H Li B C N O F Ne + +

    +

  74. +
  75. Basis Set "Chipman DZP + Diffuse" (number of atoms 6)
    +H B C N O F + +

    +

  76. +
  77. Basis Set "DZ (Dunning)" (number of atoms 13)
    +H Li B C N O F Ne Al Si P S Cl + +

    +

  78. +
  79. Basis Set "DZP (Dunning)" (number of atoms 13)
    +H Li B C N O F Ne Al Si P S Cl + +

    +

  80. +
  81. Basis Set "DZP + Diffuse (Dunning)" (number of atoms 7)
    +H B C N O F Ne + +

    +

  82. +
  83. Basis Set "cc-pVDZ" (number of atoms 24)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  84. +
  85. Basis Set "cc-pVTZ" (number of atoms 24)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  86. +
  87. Basis Set "cc-pVQZ" (number of atoms 22)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se + +

    +

  88. +
  89. Basis Set "cc-pV5Z" (number of atoms 24)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  90. +
  91. Basis Set "cc-pV6Z" (number of atoms 14)
    +H He B C N O F Ne Al Si P S Cl Ar + +

    +

  92. +
  93. Basis Set "pV6Z" (number of atoms 4)
    +H C N O + +

    +

  94. +
  95. Basis Set "cc-pVDZ(seg-opt)" (number of atoms 24)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  96. +
  97. Basis Set "cc-pVTZ(seg-opt)" (number of atoms 24)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  98. +
  99. Basis Set "cc-pVQZ(seg-opt)" (number of atoms 4)
    +H He C O + +

    +

  100. +
  101. Basis Set "cc-pCVDZ" (number of atoms 12)
    +Li Be B C N O F Ne Na Mg Si Cl + +

    +

  102. +
  103. Basis Set "cc-pCVTZ" (number of atoms 13)
    +Li Be B C N O F Ne Na Mg Si P Cl + +

    +

  104. +
  105. Basis Set "cc-pCVQZ" (number of atoms 13)
    +Li Be B C N O F Ne Na Mg Si P Cl + +

    +

  106. +
  107. Basis Set "cc-pCV5Z" (number of atoms 8)
    +B C N O F Ne Na Mg + +

    +

  108. +
  109. Basis Set "cc-pCV6Z" (number of atoms 1)
    +O + +

    +

  110. +
  111. Basis Set "aug-cc-pVDZ" (number of atoms 24)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  112. +
  113. Basis Set "aug-cc-pVTZ" (number of atoms 23)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br + +

    +

  114. +
  115. Basis Set "aug-cc-pVQZ" (number of atoms 24)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  116. +
  117. Basis Set "aug-cc-pV5Z" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  118. +
  119. Basis Set "aug-cc-pV6Z" (number of atoms 14)
    +H He B C N O F Ne Al Si P S Cl Ar + +

    +

  120. +
  121. Basis Set "aug-cc-pCVDZ" (number of atoms 7)
    +B C N O F Na Mg + +

    +

  122. +
  123. Basis Set "aug-cc-pCVTZ" (number of atoms 8)
    +B C N O F Ne Na Mg + +

    +

  124. +
  125. Basis Set "aug-cc-pCVQZ" (number of atoms 6)
    +B C N O F Ne + +

    +

  126. +
  127. Basis Set "aug-cc-pCV5Z" (number of atoms 5)
    +B C N O F + +

    +

  128. +
  129. Basis Set "d-aug-cc-pVDZ" (number of atoms 8)
    +H He B C N O F Ne + +

    +

  130. +
  131. Basis Set "d-aug-cc-pVTZ" (number of atoms 8)
    +H He B C N O F Ne + +

    +

  132. +
  133. Basis Set "d-aug-cc-pVQZ" (number of atoms 8)
    +H He B C N O F Ne + +

    +

  134. +
  135. Basis Set "d-aug-cc-pV5Z" (number of atoms 8)
    +H He B C N O F Ne + +

    +

  136. +
  137. Basis Set "d-aug-cc-pV6Z" (number of atoms 5)
    +H B C N O + +

    +

  138. +
  139. Basis Set "cc-pV(D+d)Z" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  140. +
  141. Basis Set "cc-pV(T+d)Z" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  142. +
  143. Basis Set "cc-pV(Q+d)Z" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  144. +
  145. Basis Set "cc-pV(5+d)Z" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  146. +
  147. Basis Set "cc-pV(6+d)Z" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  148. +
  149. Basis Set "aug-cc-pV(D+d)Z" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  150. +
  151. Basis Set "aug-cc-pV(T+d)Z" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  152. +
  153. Basis Set "aug-cc-pV(Q+d)Z" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  154. +
  155. Basis Set "aug-cc-pV(5+d)Z" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  156. +
  157. Basis Set "aug-cc-pV(6+d)Z" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  158. +
  159. Basis Set "Feller Misc. CVDZ" (number of atoms 1)
    +K + +

    +

  160. +
  161. Basis Set "Feller Misc. CVTZ" (number of atoms 1)
    +K + +

    +

  162. +
  163. Basis Set "Feller Misc. CVQZ" (number of atoms 1)
    +K + +

    +

  164. +
  165. Basis Set "GAMESS VTZ" (number of atoms 16)
    +H Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  166. +
  167. Basis Set "GAMESS PVTZ" (number of atoms 8)
    +H Be B C N O F Ne + +

    +

  168. +
  169. Basis Set "Partridge Uncontr. 1" (number of atoms 36)
    +Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn Fe Co + Ni Cu Zn Ga Ge As Se Br Kr Rb Sr + +

    +

  170. +
  171. Basis Set "Partridge Uncontr. 2" (number of atoms 34)
    +Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn Fe Co + Ni Cu Zn Ga Ge As Se Br Kr + +

    +

  172. +
  173. Basis Set "Partridge Uncontr. 3" (number of atoms 28)
    +Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn Fe Co + Ni Cu Zn + +

    +

  174. +
  175. Basis Set "Ahlrichs VDZ" (number of atoms 36)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn Ga Ge As Se Br Kr + +

    +

  176. +
  177. Basis Set "Ahlrichs pVDZ" (number of atoms 36)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn Ga Ge As Se Br Kr + +

    +

  178. +
  179. Basis Set "Ahlrichs VTZ" (number of atoms 36)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn Ga Ge As Se Br Kr + +

    +

  180. +
  181. Basis Set "Ahlrichs TZV" (number of atoms 34)
    +Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn Fe Co + Ni Cu Zn Ga Ge As Se Br Kr + +

    +

  182. +
  183. Basis Set "Binning/Curtiss SV" (number of atoms 6)
    +Ga Ge As Se Br Kr + +

    +

  184. +
  185. Basis Set "Binning/Curtiss VTZ" (number of atoms 6)
    +Ga Ge As Se Br Kr + +

    +

  186. +
  187. Basis Set "Binning/Curtiss SVP" (number of atoms 6)
    +Ga Ge As Se Br Kr + +

    +

  188. +
  189. Basis Set "Binning/Curtiss VTZP" (number of atoms 6)
    +Ga Ge As Se Br Kr + +

    +

  190. +
  191. Basis Set "McLean/Chandler VTZ" (number of atoms 8)
    +Na Mg Al Si P S Cl Ar + +

    +

  192. +
  193. Basis Set "SV + Rydberg (Dunning-Hay)" (number of atoms 9)
    +H Li Be B C N O F Ne + +

    +

  194. +
  195. Basis Set "SVP + Rydberg (Dunning-Hay)" (number of atoms 9)
    +H Li Be B C N O F Ne + +

    +

  196. +
  197. Basis Set "SVP + Diffuse + Rydberg" (number of atoms 9)
    +H Li Be B C N O F Ne + +

    +

  198. +
  199. Basis Set "DZ + Rydberg (Dunning)" (number of atoms 12)
    +H B C N O F Ne Al Si P S Cl + +

    +

  200. +
  201. Basis Set "DZP + Rydberg (Dunning)" (number of atoms 12)
    +H B C N O F Ne Al Si P S Cl + +

    +

  202. +
  203. Basis Set "DZ + Double Rydberg (Dunning-Hay)" (number of atoms 12)
    +H B C N O F Ne Al Si P S Cl + +

    +

  204. +
  205. Basis Set "SV + Double Rydberg (Dunning-Hay)" (number of atoms 9)
    +H Li Be B C N O F Ne + +

    +

  206. +
  207. Basis Set "Wachters+f" (number of atoms 9)
    +Sc Ti V Cr Mn Fe Co Ni Cu + +

    +

  208. +
  209. Basis Set "Bauschlicher ANO" (number of atoms 9)
    +Sc Ti V Cr Mn Fe Co Ni Cu + +

    +

  210. +
  211. Basis Set "NASA Ames ANO" (number of atoms 12)
    +H B C N O F Ne Al P Ti Fe Ni + +

    +

  212. +
  213. Basis Set "NASA Ames cc-pVTZ" (number of atoms 1)
    +Ti + +

    +

  214. +
  215. Basis Set "NASA Ames cc-pVQZ" (number of atoms 1)
    +Ti + +

    +

  216. +
  217. Basis Set "NASA Ames cc-pV5Z" (number of atoms 1)
    +Ti + +

    +

  218. +
  219. Basis Set "NASA Ames cc-pCVTZ" (number of atoms 1)
    +Ti + +

    +

  220. +
  221. Basis Set "NASA Ames cc-pCVQZ" (number of atoms 1)
    +Ti + +

    +

  222. +
  223. Basis Set "NASA Ames cc-pCV5Z" (number of atoms 1)
    +Ti + +

    +

  224. +
  225. Basis Set "Sadlej pVTZ" (number of atoms 19)
    +H Li Be C N O F Na Mg Si P S Cl K Ca Br Rb Sr I + +

    +

  226. +
  227. Basis Set "WTBS" (number of atoms 84)
    +He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn Fe + Co Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb + Te I Xe Cs Ba La Ce Pr Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu Hf Ta W Re Os Ir + Pt Au Hg Tl Pb Bi Po At Rn + +

    +

  228. +
+ +

+Resolution of Identity (RI) fitting basis sets: + +

+ +

    +
  1. Basis Set "cc-pVDZ-fit2-1" (number of atoms 10)
    +H He Li Be B C N O F Ne + +

    +

  2. +
  3. Basis Set "cc-pVTZ-fit2-1" (number of atoms 10)
    +H He Li Be B C N O F Ne + +

    +

  4. +
+ +

+Density functional specific basis sets: + +

+ +

    +
  1. Basis Set "DZVP (DFT Orbital)" (number of atoms 54)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn + Sb Te I Xe + +

    +

  2. +
  3. Basis Set "DZVP2 (DFT Orbital)" (number of atoms 25)
    +H He Li Be B C N O F Al Si P S Cl Ar Sc Ti V Cr Mn Fe Co Ni Cu Zn + +

    +

  4. +
  5. Basis Set "TZVP (DFT Orbital)" (number of atoms 11)
    +H C N O F Al Si P S Cl Ar + +

    +

  6. +
+ +

+Density functional Coulomb and Exchange fitting basis sets: + +

+ +

    +
  1. Basis Set "DGauss A1 DFT Coulomb Fitting" (number of atoms 54)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn + Sb Te I Xe + +

    +

  2. +
  3. Basis Set "DGauss A1 DFT Exchange Fitting" (number of atoms 54)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn + Sb Te I Xe + +

    +

  4. +
  5. Basis Set "DGauss A2 DFT Coulomb Fitting" (number of atoms 28)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Sc Ti V Cr Mn Fe Co + Ni Cu Zn + +

    +

  6. +
  7. Basis Set "DGauss A2 DFT Exchange Fitting" (number of atoms 64)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Sc Ti V Cr Mn Fe Co + Ni Cu Zn + +

    +

  8. +
  9. Basis Set "Ahlrichs Coulomb Fitting" (number of atoms 70)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn + Sb Te I Xe Cs Ba Hf Ta W Re Os Ir Pt Au Hg Tl Pb Bi Po At + +

    +

  10. +
  11. Basis Set "DeMon Coulomb Fitting" (number of atoms 54)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn + Sb Te I Xe + +

    +

  12. +
+ +

+Effective core potentials and their respective basis sets: + +

+ +

    +
  1. Basis Set "Hay-Wadt MB (n+1) ECP" (number of atoms 32)
    +K Ca Sc Ti V Cr Mn Fe Co Ni Cu Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cs Ba La + Ta W Re Os Ir Pt Au + +

    +

  2. +
  3. ECP "Hay-Wadt MB (n+1) ECP" (number of atoms 32)
    +K Ca Sc Ti V Cr Mn Fe Co Ni Cu Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cs Ba La + Ta W Re Os Ir Pt Au + +

    +

  4. +
  5. Basis Set "Hay-Wadt VDZ (n+1) ECP" (number of atoms 32)
    +K Ca Sc Ti V Cr Mn Fe Co Ni Cu Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cs Ba La + Ta W Re Os Ir Pt Au + +

    +

  6. +
  7. ECP "Hay-Wadt VDZ (n+1) ECP" (number of atoms 32)
    +K Ca Sc Ti V Cr Mn Fe Co Ni Cu Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cs Ba La + Ta W Re Os Ir Pt Au + +

    +

  8. +
  9. Basis Set "LANL2DZ ECP" (number of atoms 67)
    +H Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn Fe + Co Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb + Te I Xe Cs Ba La Hf Ta W Re Os Ir Pt Au U Np Pu + +

    +

  10. +
  11. ECP "LANL2DZ ECP" (number of atoms 58)
    +Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br + Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te I Xe Cs Ba La Hf Ta W + Re Os Ir Pt Au U Np Pu + +

    +

  12. +
  13. Basis Set "LANL2DZdp ECP" (number of atoms 19)
    +H C N O F Si P S Cl Ge As Se Br Sn Sb Te I Pb Bi + +

    +

  14. +
  15. ECP "LANL2DZdp ECP" (number of atoms 13)
    +Si P S Cl Ge As Se Sn Sb Te I Pb Bi + +

    +

  16. +
  17. Basis Set "SBKJC VDZ ECP" (number of atoms 73)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn + Sb Te I Xe Cs Ba La Ce Hf Ta W Re Os Ir Pt Au Hg Tl Pb Bi Po At Rn + +

    +

  18. +
  19. ECP "SBKJC VDZ ECP" (number of atoms 71)
    +Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn Fe Co + Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te + I Xe Cs Ba La Ce Hf Ta W Re Os Ir Pt Au Hg Tl Pb Bi Po At Rn + +

    +

  20. +
  21. Basis Set "CRENBL ECP" (number of atoms 116)
    +H Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn Fe + Co Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb + Te I Xe Cs Ba La Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu Hf Ta W Re Os + Ir Pt Au Hg Pb Bi Po At Rn Fr Ra Ac Th Pa U Np Pu Am Cm Bk Cf Es Fm Md No + Lr Rf Db Sg Bh Hs Mt Un Uu Ub Ut Uq Up Uh Us Uo + +

    +

  22. +
  23. ECP "CRENBL ECP" (number of atoms 115)
    +Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn Fe Co + Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te + I Xe Cs Ba La Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu Hf Ta W Re Os Ir + Pt Au Hg Pb Bi Po At Rn Fr Ra Ac Th Pa U Np Pu Am Cm Bk Cf Es Fm Md No Lr + Rf Db Sg Bh Hs Mt Un Uu Ub Ut Uq Up Uh Us Uo + +

    +

  24. +
  25. Basis Set "CRENBS ECP" (number of atoms 50)
    +Sc Ti V Cr Mn Fe Co Ni Cu Zn Y Zr Nb Mo Tc Ru Rh Pd Ag Cd La Hf Ta W Re + Os Ir Pt Au Hg Pb Bi Po At Rn Rf Db Sg Bh Hs Mt Un Uu Ub Ut Uq Up Uh Us Uo +
  26. +
  27. ECP "CRENBS ECP" (number of atoms 50)
    +Sc Ti V Cr Mn Fe Co Ni Cu Zn Y Zr Nb Mo Tc Ru Rh Pd Ag Cd La Hf Ta W Re + Os Ir Pt Au Hg Pb Bi Po At Rn Rf Db Sg Bh Hs Mt Un Uu Ub Ut Uq Up Uh Us Uo + +

    +

  28. +
  29. Basis Set "Stuttgart RLC ECP" (number of atoms 57)
    +Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Zn Ga Ge As Se Br Kr + Rb Sr In Sn Sb Te I Xe Cs Ba Hg Tl Pb Bi Po At Rn Ac Th Pa U Np Pu Am Cm + Bk Cf Es Fm Md No Lr + +

    +

  30. +
  31. ECP "Stuttgart RLC ECP" (number of atoms 57)
    +Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Zn Ga Ge As Se Br Kr + Rb Sr In Sn Sb Te I Xe Cs Ba Hg Tl Pb Bi Po At Rn Ac Th Pa U Np Pu Am Cm + Bk Cf Es Fm Md No Lr + +

    +

  32. +
  33. Basis Set "Stuttgart RSC 1997 ECP" (number of atoms 64)
    +K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd Cs + Ba Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Hf Ta W Re Os Ir Pt Au Hg Ac Th + Pa U Np Pu Am Cm Bk Cf Es Fm Md No Lr Db + +

    +

  34. +
  35. ECP "Stuttgart RSC 1997 ECP" (number of atoms 64)
    +K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd Cs + Ba Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Hf Ta W Re Os Ir Pt Au Hg Ac Th + Pa U Np Pu Am Cm Bk Cf Es Fm Md No Lr Db + +

    +

  36. +
  37. Basis Set "Stuttgart RSC Segmented/ECP" (number of atoms 15)
    +La Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu + +

    +

  38. +
  39. ECP "Stuttgart RSC Segmented/ECP" (number of atoms 15)
    +La Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu + +

    +

  40. +
  41. Basis Set "Stuttgart RSC ANO/ECP" (number of atoms 15)
    +La Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu + +

    +

  42. +
  43. ECP "Stuttgart RSC ANO/ECP" (number of atoms 15)
    +La Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu + +

    +

  44. +
  45. Basis Set "SDB-cc-pVTZ" (number of atoms 12)
    +Ga Ge As Se Br Kr In Sn Sb Te I Xe + +

    +

  46. +
  47. ECP "SDB-cc-pVTZ" (number of atoms 12)
    +Ga Ge As Se Br Kr In Sn Sb Te I Xe + +

    +

  48. +
  49. Basis Set "SDB-cc-pVQZ" (number of atoms 12)
    +Ga Ge As Se Br Kr In Sn Sb Te I Xe + +

    +

  50. +
  51. ECP "SDB-cc-pVQZ" (number of atoms 12)
    +Ga Ge As Se Br Kr In Sn Sb Te I Xe + +

    +

  52. +
  53. Basis Set "SDB-aug-cc-pVTZ" (number of atoms 10)
    +Ga Ge As Se Br In Sn Sb Te I + +

    +

  54. +
  55. ECP "SDB-aug-cc-pVTZ" (number of atoms 30)
    +Ga Ge As Se Br In Sn Sb Te I Ga Ge As Se Br + In Sn Sb Te I + +

    +

  56. +
  57. Basis Set "SDB-aug-cc-pVQZ" (number of atoms 10)
    +Ga Ge As Se Br In Sn Sb Te I + +

    +

  58. +
  59. ECP "SDB-aug-cc-pVQZ" (number of atoms 10)
    +Ga Ge As Se Br In Sn Sb Te I + +

    +

  60. +
+ +

+Douglas-Kroll (DK) all-electron basis sets: + +

+ +

    +
  1. Basis Set "cc-pVDZ DK" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  2. +
  3. Basis Set "cc-pVTZ DK" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  4. +
  5. Basis Set "cc-pVQZ DK" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  6. +
  7. Basis Set "cc-pV5Z DK" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  8. +
+ +

+Dyall's Modified Dirac (DmD) all-electron basis sets: + +

+ +

    +
  1. Basis Set "cc-pvdz fi sf fw" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  2. +
  3. Basis Set "cc-pvdz fi sf lc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  4. +
  5. Basis Set "cc-pvdz fi sf sc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  6. +
  7. Basis Set "cc-pvdz pt sf fw" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  8. +
  9. Basis Set "cc-pvdz pt sf lc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  10. +
  11. Basis Set "cc-pvdz pt sf sc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  12. +
  13. Basis Set "cc-pvtz fi sf fw" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  14. +
  15. Basis Set "cc-pvtz fi sf lc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  16. +
  17. Basis Set "cc-pvtz fi sf sc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  18. +
  19. Basis Set "cc-pvtz pt sf fw" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  20. +
  21. Basis Set "cc-pvtz pt sf lc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  22. +
  23. Basis Set "cc-pvtz pt sf sc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  24. +
  25. Basis Set "cc-pvqz fi sf fw" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  26. +
  27. Basis Set "cc-pvqz fi sf lc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  28. +
  29. Basis Set "cc-pvqz fi sf sc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  30. +
  31. Basis Set "cc-pvqz pt sf fw" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  32. +
  33. Basis Set "cc-pvqz pt sf lc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  34. +
  35. Basis Set "cc-pvqz pt sf sc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  36. +
  37. Basis Set "cc-pv5z fi sf fw" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  38. +
  39. Basis Set "cc-pv5z fi sf lc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  40. +
  41. Basis Set "cc-pv5z fi sf sc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  42. +
  43. Basis Set "cc-pv5z pt sf fw" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  44. +
  45. Basis Set "cc-pv5z pt sf lc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  46. +
  47. Basis Set "cc-pv5z pt sf sc" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  48. +
+ +

+Polarization functions: + +

+ +

    +
  1. Basis Set "STO-3G* Polarization" (number of atoms 8)
    +Na Mg Al Si P S Cl Ar + +

    +

  2. +
  3. Basis Set "3-21G* Polarization" (number of atoms 8)
    +Na Mg Al Si P S Cl Ar + +

    +

  4. +
  5. Basis Set "6-31G* Polarization" (number of atoms 27)
    +Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn Co Ni + Cu Zn + +

    +

  6. +
  7. Basis Set "6-31G** Polarization" (number of atoms 29)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Co Ni Cu Zn + +

    +

  8. +
  9. Basis Set "6-311G* Polarization" (number of atoms 23)
    +Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr I + +

    +

  10. +
  11. Basis Set "6-311G** Polarization" (number of atoms 25)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr I + +

    +

  12. +
  13. Basis Set "Pople (2d,2p) Polarization" (number of atoms 26)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Ga Ge As Se Br + Kr + +

    +

  14. +
  15. Basis Set "Pople (2df,2pd) Polarization" (number of atoms 12)
    +H He Li Be B C N O F Ne K Ca + +

    +

  16. +
  17. Basis Set "Pople (3df,3pd) Polarization" (number of atoms 18)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  18. +
  19. Basis Set "HONDO7 Polarization" (number of atoms 17)
    +H He Be B C N O F Ne Na Mg Al Si P S Cl Ar + +

    +

  20. +
  21. Basis Set "Huzinaga Polarization" (number of atoms 22)
    +K Ca Ga Ge As Se Br Kr Rb Sr In Sn Sb Te I Xe Tl Pb Bi Po At Rn + +

    +

  22. +
  23. Basis Set "DHMS Polarization" (number of atoms 15)
    +H He Li Be B C N O F Ne Al Si P S Cl + +

    +

  24. +
  25. Basis Set "Binning-Curtiss (1d) Polarization" (number of atoms 6)
    +Ga Ge As Se Br Kr + +

    +

  26. +
  27. Basis Set "Binning-Curtiss (df) Polarization" (number of atoms 6)
    +Ga Ge As Se Br Kr + +

    +

  28. +
  29. Basis Set "Ahlrichs Polarization" (number of atoms 36)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca Sc Ti V Cr Mn + Fe Co Ni Cu Zn Ga Ge As Se Br Kr + +

    +

  30. +
  31. Basis Set "Glendening Polarization" (number of atoms 3)
    +K Rb Cs + +

    +

  32. +
  33. Basis Set "Blaudeau Polarization" (number of atoms 2)
    +K Ca + +

    +

  34. +
  35. Basis Set "LANL2DZdp ECP Polarization" (number of atoms 19)
    +H C N O F Si P S Cl Ge As Se Br Sn Sb Te I Pb Bi + +

    +

  36. +
  37. Basis Set "Dunning-Hay Rydberg" (number of atoms 12)
    +B C N O F Ne Al Si P S Cl Ar + +

    +

  38. +
  39. Basis Set "Dunning-Hay Double Rydberg" (number of atoms 12)
    +B C N O F Ne Al Si P S Cl Ar + +

    +

  40. +
+ +

+Diffuse functions: + +

+ +

    +
  1. Basis Set "Pople-style Diffuse" (number of atoms 19)
    +H Li Be B C N O F Ne Na Mg Al Si P S Cl Ar K Ca + +

    +

  2. +
  3. Basis Set "Dunning-Hay Diffuse" (number of atoms 9)
    +H Li Be B C N O F Ne + +

    +

  4. +
  5. Basis Set "aug-cc-pVDZ Diffuse" (number of atoms 24)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  6. +
  7. Basis Set "aug-cc-pVTZ Diffuse" (number of atoms 23)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br + +

    +

  8. +
  9. Basis Set "aug-cc-pVQZ Diffuse" (number of atoms 24)
    +H He Li Be B C N O F Ne Na Mg Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  10. +
  11. Basis Set "aug-cc-pV5Z Diffuse" (number of atoms 20)
    +H He B C N O F Ne Al Si P S Cl Ar Ga Ge As Se Br Kr + +

    +

  12. +
  13. Basis Set "aug-cc-pV6Z Diffuse" (number of atoms 14)
    +H He B C N O F Ne Al Si P S Cl Ar + +

    +

  14. +
  15. Basis Set "d-aug-cc-pVDZ Diffuse" (number of atoms 8)
    +H He B C N O F Ne + +

    +

  16. +
  17. Basis Set "d-aug-cc-pVTZ Diffuse" (number of atoms 8)
    +H He B C N O F Ne + +

    +

  18. +
  19. Basis Set "d-aug-cc-pVQZ Diffuse" (number of atoms 8)
    +H He B C N O F Ne + +

    +

  20. +
  21. Basis Set "d-aug-cc-pV5Z Diffuse" (number of atoms 8)
    +H He B C N O F Ne + +

    +

  22. +
  23. Basis Set "d-aug-cc-pV6Z Diffuse" (number of atoms 5)
    +H B C N O + +

    +

  24. +
  25. Basis Set "aug-cc-pV(D+d)Z Diffuse" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  26. +
  27. Basis Set "aug-cc-pV(T+d)Z Diffuse" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  28. +
  29. Basis Set "aug-cc-pV(Q+d)Z Diffuse" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  30. +
  31. Basis Set "aug-cc-pV(5+d)Z Diffuse" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  32. +
  33. Basis Set "aug-cc-pV(6+d)Z Diffuse" (number of atoms 6)
    +Al Si P S Cl Ar + +

    +

  34. +
  35. Basis Set "SDB-aug-cc-pVTZ Diffuse" (number of atoms 10)
    +Ga Ge As Se Br In Sn Sb Te I + +

    +

  36. +
  37. Basis Set "SDB-aug-cc-pVQZ Diffuse" (number of atoms 10)
    +Ga Ge As Se Br In Sn Sb Te I + +

    +

  38. +
+ +

+Core-valence functions: + +

+ +

    +
  1. Basis Set "Core/val. Functions (cc-pCVDZ)" (number of atoms 12)
    +Li Be B C N O F Ne Na Mg Si Cl + +

    +

  2. +
  3. Basis Set "Core/val. Functions (cc-pCVTZ)" (number of atoms 13)
    +Li Be B C N O F Ne Na Mg Si P Cl + +

    +

  4. +
  5. Basis Set "Core/val. Functions (cc-pCVQZ)" (number of atoms 13)
    +Li Be B C N O F Ne Na Mg Si P Cl + +

    +

  6. +
  7. Basis Set "Core/val. Functions (cc-pCV5Z)" (number of atoms 8)
    +B C N O F Ne Na Mg + +

    +

  8. +
  9. Basis Set "Core/val. Functions (cc-pCV6Z)" (number of atoms 1)
    +O + +

    +

  10. +
+ +

+ +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: B. Sample input files + Up: user + Previous: 38. Acknowledgments +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node42.html b/web/doc/user.4.6/node42.html new file mode 100644 index 0000000000..923f742482 --- /dev/null +++ b/web/doc/user.4.6/node42.html @@ -0,0 +1,391 @@ + + + + + +B. Sample input files + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: C. Examples of geometries + Up: user + Previous: A. Standard Basis Sets +   Contents +
+
+ + +Subsections + + + +
+ +

+B. Sample input files +

+ +

+ +
+B.1 Water SCF calculation and geometry optimization in a 6-31g basis +

+ +

+The input file in section 2 performs a geometry optimization +in a single task. A single point SCF energy calculation is performed and then +restarted to perform the optimization (both could of course be +performed in a single task). + +

+ +

+B.1.1 Job 1. Single point SCF energy +

+ +

+

+  start h2o
+  title "Water in 6-31g basis set"
+
+  geometry units au
+    O      0.00000000    0.00000000    0.00000000
+    H      0.00000000    1.43042809   -1.10715266
+    H      0.00000000   -1.43042809   -1.10715266
+  end
+  basis
+    H library 6-31g
+    O library 6-31g
+  end
+  task scf
+
+ +

+The final energy should be -75.983998. + +

+ +

+B.1.2 Job 2. Restarting and perform a geometry optimization +

+ +

+

+  restart h2o
+  title "Water geometry optimization"
+
+  task scf optimize
+
+ +

+There is no need to specify anything that has not changed from the +previous input deck, though it will do no harm to repeat it. + +

+ +

+ +
+B.2 Compute the polarizability of Ne using finite field +

+ +

+ +

+B.2.1 Job 1. Compute the atomic energy +

+ +

+

+  start ne
+  title "Neon"
+  geometry; ne 0 0 0; end
+  basis spherical 
+    ne library aug-cc-pvdz
+  end
+  scf; thresh 1e-10; end
+  task scf
+
+ +

+The final energy should be -128.496350. + +

+ +

+B.2.2 Job 2. Compute the energy with applied field +

+ +

+An external field may be simulated with point charges. The charges +here apply a field of magnitude 0.01 atomic units to the atom at the +origin. Since the basis functions have not been reordered by the +additional centers we can also restart from the previous vectors, +which is the default for a restart job. + +

+

+  restart ne
+  title "Neon in electric field"
+  geometry units atomic
+    bq1 0 0 100 charge 50
+    ne  0 0 0
+    bq2 0 0 -100 charge -50
+  end
+  task scf
+
+ +

+The final energy should be -128.496441, which together with the +previous field-free result yields an estimate for the polarizability +of 1.83 atomic units. Note that by default NWChem does not include +the interaction between the two point charges in the total energy +(section 6). + +

+ +

+ +
+B.3 SCF energy of H$_2$CO using ECPs for C and O +

+ +

+The following will compute the SCF energy for formaldehyde with ECPs +on the Carbon and Oxygen centers. + +

+

+title "formaldehyde ECP deck"
+
+start ecpchho
+
+geometry units au
+  C         0.000000  0.000000 -1.025176
+  O         0.000000  0.000000  1.280289
+  H         0.000000  1.767475 -2.045628
+  H         0.000000 -1.767475 -2.045628
+end
+
+basis 
+  C  SP
+   0.1675097360D+02 -0.7812840500D-01  0.3088908800D-01
+   0.2888377460D+01 -0.3741108860D+00  0.2645728130D+00
+   0.6904575040D+00  0.1229059640D+01  0.8225024920D+00
+  C  SP
+   0.1813976910D+00  0.1000000000D+01  0.1000000000D+01
+  C  D
+   0.8000000000D+00  0.1000000000D+01
+  C  F
+   0.1000000000D+01  0.1000000000D+01
+  O  SP
+   0.1842936330D+02 -0.1218775590D+00  0.5975796600D-01
+   0.4047420810D+01 -0.1962142380D+00  0.3267825930D+00
+   0.1093836980D+01  0.1156987900D+01  0.7484058930D+00
+  O  SP
+   0.2906290230D+00  0.1000000000D+01  0.1000000000D+01
+  O  D
+   0.8000000000D+00  0.1000000000D+01
+  O  F
+   0.1100000000D+01  0.1000000000D+01
+  H  S
+   0.1873113696D+02  0.3349460434D-01
+   0.2825394365D+01  0.2347269535D+00
+   0.6401216923D+00  0.8137573262D+00
+  H  S    1 1.00
+   0.1612777588D+00  0.1000000000D+01
+end
+
+ecp
+  C nelec 2
+  C ul
+        1       80.0000000       -1.60000000
+        1       30.0000000       -0.40000000
+        2        0.5498205       -0.03990210
+  C s
+        0        0.7374760        0.63810832
+        0      135.2354832       11.00916230
+        2        8.5605569       20.13797020
+  C p
+        2       10.6863587       -3.24684280
+        2       23.4979897        0.78505765
+  O nelec 2
+  O ul
+        1       80.0000000       -1.60000000
+        1       30.0000000       -0.40000000
+        2        1.0953760       -0.06623814
+  O s
+        0        0.9212952        0.39552179
+        0       28.6481971        2.51654843
+        2        9.3033500       17.04478500
+  O p
+        2       52.3427019       27.97790770
+        2       30.7220233      -16.49630500
+end
+
+scf
+  vectors input hcore
+  maxiter 20
+end
+
+task scf
+
+ +

+This should produce the following output: + +

+

+       Final RHF  results 
+       ------------------ 
+
+         Total SCF energy =    -22.507927218024
+      One electron energy =    -71.508730162974
+      Two electron energy =     31.201960019808
+ Nuclear repulsion energy =     17.798842925142
+
+ +

+ +

+B.4 MP2 optimization and CCSD(T) on nitrogen +

+ +

+The following performs an MP2 geometry optimization followed by a +CCSD(T) energy evaluation at the converged geometry. A Dunning +correlation-consistent triple-zeta basis is used. The default of +Cartesian basis functions must be overridden using the keyword +spherical on the BASIS directive. The 1$s$ core +orbitals are frozen in both the MP2 and coupled-cluster calculations +(note that these must separately specified). The final MP2 energy is +-109.383276, and the CCSD(T) energy is -109.399662. + +

+

+start n2
+
+geometry
+  symmetry d2h
+  n 0 0 0.542
+end
+
+basis spherical
+  n library cc-pvtz
+end
+
+mp2
+  freeze core
+end
+
+task mp2 optimize
+
+ccsd
+  freeze core
+end
+
+task ccsd(t)
+
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: C. Examples of geometries + Up: user + Previous: A. Standard Basis Sets +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node43.html b/web/doc/user.4.6/node43.html new file mode 100644 index 0000000000..aa17f03e60 --- /dev/null +++ b/web/doc/user.4.6/node43.html @@ -0,0 +1,863 @@ + + + + + +C. Examples of geometries using symmetry + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: D. Running NWChem + Up: user + Previous: B. Sample input files +   Contents +
+
+ + +Subsections + + + +
+ +

+C. Examples of geometries using symmetry +

+ +

+Below are examples of the use of the SYMMETRY directive in +the compound GEOMETRY directive (Section 6). +The z axis is always the primary rotation axis. +When in doubt about which axes and planes are used for the group +elements, the keyword print may be added to the SYMMETRY +directive to obtain this information. + +

+ +

+C.1 $C_{s}$ methanol +

+ +

+The $\sigma_h$ plane is the xy plane. + +

+

+  geometry units angstroms
+    C    0.11931097    -0.66334875     0.00000000
+    H    1.20599017    -0.87824237     0.00000000
+    H   -0.32267592    -1.15740001     0.89812652
+    O   -0.01716588     0.78143468     0.00000000
+    H   -1.04379735     0.88169812     0.00000000
+    symmetry cs
+  end
+
+ +

+ +

+C.2 $C_{2v}$ water +

+ +

+The z axis is the $C_2$ axis and the $\sigma_v$ may be either the xz or the +yz planes. + +

+

+  geometry units au
+    O     0.00000000    0.00000000    0.00000000
+    H     0.00000000    1.43042809   -1.10715266
+    symmetry group c2v
+  end
+
+ +

+ +

+C.3 $D_{2h}$ acetylene +

+ +

+Although acetylene has symmetry $D_{\infty h}$ the subgroup +$D_{2h}$ includes all operations that interchange equivalent atoms +which is what determines how much speedup you gain from using symmetry +in building a Fock matrix. + +

+The $C_2$ axes are the x, y, and z axes. The $\sigma$ planes are the xy, +xz and yz planes. Generally, the unique atoms are placed to use the z +as the primary rotational axis and use the xz or yz planes as the $\sigma$ +plane. + +

+

+  geometry units au
+    symmetry group d2h
+    C      0.000000000    0.000000000   -1.115108538
+    H      0.000000000    0.000000000   -3.106737425
+  end
+
+ +

+ +

+C.4 $D_{2h}$ ethylene +

+ +

+The $C_2$ axes are the x, y, and z axes. The $\sigma$ planes are the xy, +xz and yz planes. Generally, the unique atoms are placed to use the z +as the primary rotational axis and use the xz or yz planes as the $\sigma$ +plane. + +

+

+  geometry units angstroms
+    C 0 0 0.659250 
+    H 0 0.916366 1.224352 
+    symmetry d2h
+  end
+
+ +

+ +

+C.5 $T_d$ methane +

+ +

+For ease of use, the primary $C_3$ axis should be the x=y=z axis. +The 3 $C_2$ axes are the x, y, and z. + +

+

+  geometry units au
+    c   0.0000000      0.0000000      0.0000000
+    h   1.1828637      1.1828637      1.1828637
+    symmetry group Td
+  end
+
+ +

+ +

+C.6 $I_h$ buckminsterfullerene +

+ +

+One of the $C_5$ axes is the z axis and the point of inversion is the origin. + +

+

+  geometry units angstroms # Bonds = 1.4445, 1.3945
+    symmetry group Ih
+    c   -1.2287651   0.0   3.3143121
+  end
+
+ +

+ +

+C.7 $S_4$ porphyrin +

+ +

+The $S_4$ and $C_2$ rotation axis is the z axis. The reflection plane +for the $S_4$ operation is the xy plane. + +

+

+  geometry units angstroms
+     symmetry group s4
+  
+     fe                0.000  0.000  0.000         
+     h                 2.242  6.496 -3.320   
+     h                 1.542  4.304 -2.811
+     c                 1.947  6.284 -2.433
+     c                 1.568  4.987 -2.084
+     h                 2.252  8.213 -1.695
+     c                 1.993  7.278 -1.458
+     h                 5.474 -1.041 -1.143
+     c                 1.234  4.676 -0.765
+     h                 7.738 -1.714 -0.606
+     c                 0.857  3.276 -0.417
+     h                 1.380 -4.889 -0.413
+     c                 1.875  2.341 -0.234
+     h                 3.629  3.659 -0.234
+     c                 0.493 -2.964 -0.229
+     c                 1.551 -3.933 -0.221
+     c                 5.678 -1.273 -0.198
+     c                 1.656  6.974 -0.144
+     c                 3.261  2.696 -0.100
+     n                 1.702  0.990 -0.035
+  end
+
+ +

+ +

+C.8 $D_{3h}$ iron penta-carbonyl +

+ +

+The $C_3$ axis is the z axis. The $\sigma_h$ plane is the xy plane. One of +the perpendicular $C_2$ axes is the x=y axis. One of the $\sigma_v$ +planes is the plane containing the x=y axis and the z axis. (The +other axes and planes are generated by the $C_3$ operation.) + +

+

+  geometry units au
+    symmetry group d3h
+
+    fe        0.0         0.0         0.0
+
+    c         0.0         0.0         3.414358
+    o         0.0         0.0         5.591323
+
+    c         2.4417087   2.4417087   0.0
+    o         3.9810552   3.9810552   0.0
+  end
+
+ +

+ +

+C.9 $D_{3d}$ sodium crown ether +

+ +

+The $C_3$ axis is the z axis. The point of inversion is the origin. One of +the perpendicular $C_2$ axes is the x=y axis. One of the $\sigma_d$ planes +is the plane containing the -x=y axis and the z axis. + +

+Note that the oxygen atom is rotated in the x-y plane 15 + degrees away from the y-axis so that it lies in a mirror + plane. There is a total of six atoms generated from the + unique oxygen, in contrast to twelve from each of the carbon + and hydrogen atoms. + +

+

+  geometry units au
+    symmetry D3d
+
+   NA     .0000000000    .0000000000   .0000000000
+   O     1.3384771885   4.9952647969   .1544089284
+   H     6.7342048019  -0.6723850379  2.6581562148
+   C     6.7599180056  -0.4844977035   .6136583870
+   H     8.6497577017   0.0709194071   .0345361934
+
+  end
+
+ +

+ +

+C.10 $C_{3v}$ ammonia +

+ +

+The $C_3$ axis is the z axis. One of the $\sigma_v$ planes is the +plane containing the x=y axis and the z axis. + +

+

+  geometry units angstroms
+    N 0     0     -0.055 
+    H 0.665 0.665 -0.481 
+    symmetry c3v
+  end
+
+ +

+ +

+C.11 $D_{6h}$ benzene +

+ +

+The $C_6$ axis is the z axis. The point of inversion is the origin. One +of the 6 perpendicular $C_2'$ axes is the x=y axis. (-x=y works as a +$C_2''$ axis.) The $\sigma_h$ plane is the xy plane. The $\sigma_d$ +planes contain the $C_2''$ axis and the z axis. The $\sigma_v$ planes +contain the $C_2'$ axis and the z axis. + +

+

+  geometry units au
+    C 1.855 1.855 0 
+    H 3.289 3.289 0 
+    symmetry D6h
+  end
+
+ +

+ +

+C.12 $C_{3h}$ $BO_3H_3$ +

+ +

+The $C_3$ axis is the z axis. The $\sigma_h$ plane is the xy plane. + +

+

+  geometry units au
+    b 0 0 0 
+    o 2.27238285 1.19464491 0.00000000 
+    h 2.10895420 2.97347707 0.00000000 
+   symmetry C3h
+  end
+
+ +

+ +

+C.13 $D_{5d}$ ferrocene +

+ +

+The $C_5$ axis is the z axis. The center of inversion is the origin. +One of the perpendicular $C_2$ axes is the x axis. One of the $\sigma_d$ +planes is the yz plane. + +

+

+  geometry units angstroms
+    symmetry d5d
+
+    fe 0 0     0 
+    c  0 1.194 1.789 
+    h  0 2.256 1.789 
+  end
+
+ +

+ +

+C.14 $C_{4v}$ $SF_5Cl$ +

+ +

+The $C_4$ axis is the z axis. The $\sigma_v$ planes are the yz and the xz +planes. The $\sigma_d$ planes are: 1) the plane containing the x=y axis and +the z axis and 2) the plane containing the -x=y axis and the z axis. + +

+

+  geometry units au
+    S  0.00000000 0.00000000 -0.14917600 
+    Cl 0.00000000 0.00000000  4.03279700 
+    F  3.13694200 0.00000000 -0.15321800 
+    F  0.00000000 0.00000000 -3.27074500 
+
+    symmetry C4v
+  end
+
+ +

+ +

+C.15 $C_{2h}$ trans-dichloroethylene +

+ +

+The $C_2$ axis is the z axis. The origin is the inversion center. +The $\sigma_h$ plane is the xy plane. + +

+

+  geometry units angstroms
+    C  0.65051239 -0.08305064 0 
+    Cl 1.75249381  1.30491767 0 
+    H  1.14820954 -1.04789741 0 
+    symmetry C2h
+  end
+
+ +

+ +

+C.16 $D_{2d}$ $CH_2CCH_2$ +

+ +

+The $C_2$ axis is the z axis (z is also the $S_4$ axis). The x and y axes +are the perpendicular $C_2'$s. The $\sigma_d$ planes are: +1) the plane containing the x=y axis and the z axis and 2) the plane +containing the -x=y axis and the z axis. + +

+

+  geometry units angstroms
+    symmetry d2d
+    c 0     0     0 
+    c 0     0     1.300 
+    h 0.656 0.656 1.857 
+  end
+
+ +

+ +

+C.17 $D_{5h}$ cyclopentadiene anion +

+ +

+The $C_5$ axis is the z axis (z is also the $S_5$ axis). The y axis is one +of the perpendicular $C_2$ axes. The $\sigma_h$ plane is the xy plane and +one of the $\sigma_d$ planes is the yz plane. + +

+

+  charge -1
+  geometry units angstroms
+    symmetry d5h
+    c 0 1.1853 0 
+    h 0 2.2654 0 
+  end
+
+ +

+ +

+C.18 $D_{4h}$ gold tetrachloride +

+ +

+The $C_4$ axis is the z axis (z is also the $S_4$ axis). +The $C_2'$ axes are the x and y axes and the $C_2''$ axes are the x=y axis +and the x=-y axis. The inversion center is the origin. The $\sigma_h$ +plane is the xy plane. The $\sigma_v$ planes are the xz and yz planes and +the $\sigma_d$ planes are 1) the plane containing the x=-y axis and the z axis +and 2) the plane containing the x=y axis and the z axis. + +

+

+  geometry units au
+    Au 0 0     0 
+    Cl 0 4.033 0
+    symmetry D4h
+  end
+
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: D. Running NWChem + Up: user + Previous: B. Sample input files +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node44.html b/web/doc/user.4.6/node44.html new file mode 100644 index 0000000000..19c74b99b7 --- /dev/null +++ b/web/doc/user.4.6/node44.html @@ -0,0 +1,497 @@ + + + + + +D. Running NWChem + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: About this document ... + Up: user + Previous: C. Examples of geometries +   Contents +
+
+ + +Subsections + + + +
+ +

+D. Running NWChem +

+ +

+The command required to invoke NWChem is machine dependent, whereas +most of the NWChem input is machine independentD.1 . + +

+ +

+D.1 Sequential execution +

+ +

+To run NWChem sequentially on nearly all UNIX-based platforms simply +use the command nwchem and provide the name of the input file +as an argument (See section 2.1 for more information). +This does assume that either nwchem is in your path or you have +set an alias of nwchem to point to the appropriate executable. + +

+Output is to standard output, standard error and Fortran unit 6 +(usually the same as standard output). Files are created by default +in the current directory, though this may be overridden in the input +(section 5.2). + +

+Generally, one will run a job with the following command: + +

+nwchem input.nw >& input.out & + +

+ +

+ +
+D.2 Parallel execution on UNIX-based parallel machines +including workstation clusters using TCGMSG +

+ +

+These platforms require the use of the TCGMSGD.2 parallel command +and thus also require the definition of a process-group (or procgroup) +file. The process-group file describes how many processes to start, +what program to run, which machines to use, which directories to work +in, and under which userid to run the processes. By convention the +process-group file has a .p suffix. + +

+The process-group file is read to end-of-file. The character # +(hash or pound sign) is used to indicate a comment which continues to +the next new-line character. Each line describes a cluster of +processes and consists of the following whitespace separated fields: + +

+

+  userid hostname nslave executable workdir
+
+ +

+ +

    +
  • userid - The user-name on the machine that will be executing the + process. + +

    +

  • +
  • hostname - The hostname of the machine to execute this process. + If it is the same machine on which parallel was invoked + the name must match the value returned by the command + hostname. If a remote machine it must allow remote execution + from this machine (see man pages for rlogin, rsh). + +

    +

  • +
  • nslave - The total number of copies of this process to be executing + on the specified machine. Only ``clusters'' of identical processes + specified in this fashion can use shared memory to communicate. + If no shared memory is supported on machine <hostname> then + only the value one (1) is valid. + +

    +

  • +
  • executable - Full path name on the host <hostname> of the image to execute. + If <hostname> is the local machine then a local path will + suffice. + +

    +

  • +
  • workdir - Full path name on the host <hostname> of the directory to + work in. Processes execute a chdir() to this directory before + returning from pbegin(). If specified as a ``.'' then remote + processes will use the login directory on that machine and local + processes (relative to where parallel was invoked) will use + the current directory of parallel. +
  • +
+ +

+For example, if your file "nwchem.p" contained the following +

+ d3g681 pc 4 /msrc/apps/bin/nwchem /scr22/rjh
+
+then 4 processes running NWChem would be started on the machine +pc running as user d3g681 in directory "/scr22/rjh". +To actually run this simply type: +
+  parallel nwchem big_molecule.nw
+
+ +

+N.B. : The first process specified (process zero) is the only +process that + +

    +
  • opens and reads the input file, and +
  • +
  • opens and reads/updates the database. +
  • +
+Thus, if your file systems are physically distributed (e.g., most +workstation clusters) you must ensure that process zero can correctly +resolve the paths for the input and database files. + +

+N.B. In releases of NWChem prior to 3.3 additional processes +had to be created on workstation clusters to support remote access to +shared memory. This is no longer the case. The TCGMSG process group +file now just needs to refer to processes running NWChem. + +

+ +

+D.3 Parallel execution on UNIX-based parallel machines +including workstation clusters using MPI +

+ +

+To run with MPI, parallel should not be used. The way +we usually run nwchem under MPI are the following + +

+ +

    +
  • using mpirun: +
    +     mpirun -np 8 $NWCHEM_TOP/bin/$NWCHEM_TARGET/nwchem input.nw
    +
    +
  • +
  • If you have all nodes connected via shared memory + and you have installed the ch_shmem version of MPICH, + you can do +
    +     $NWCHEM_TOP/bin/$NWCHEM_TARGET/nwchem -np 8 h2o.nw
    +
    +
  • +
+ +

+ +

+D.4 Parallel execution on MPPs +

+ +

+All of these machines require use of different commands in order to +gain exclusive access to computational resources. + +

+ +

+D.5 IBM SP +

+ +

+If using POE (IBM's Parallel Operating Environment) interactively, +simply create the list of nodes to use in the file "host.list" in +the current directory and invoke NWChem with +

+  nwchem <input_file> -procs <n>
+
+where n is the number of processes to use. Process 0 will run +on the first node in "host.list" and must have access to the +input and other necessary files. Very significant performance gains +may be had by setting the following environment variables before +running NWChem (or setting them using POE command line options). + +
    +
  • setenv MP_EUILIB us -- dedicated user space + communication over the switch (the default is IP over the switch + which is much slower). +
  • +
  • setenv MP_CSS_INTERRUPT yes -- enable interrupts when a + message arrives (the default is to poll which significantly slows + down global array accesses). +
  • +
+In addition, if the IBM is running PSSP version 3.1, or later + +
    +
  • setenv MP_MSG_API lapi, or +
  • +
  • setenv MP_MSG_API mpi,lapi (if using both GA and MPI) +
  • +
+ +

+For batch execution, we recommend use of the llnw command which +is installed in /usr/local/bin on the EMSL/PNNL IBM SP. If you +are not running on that system, the llnw script may be found in +the NWChem distribution directory contrib/loadleveler. +Interactive help may be obtained with the command llnw -help. +Otherwise, the very simplest job to run NWChem in batch using Load +Leveller is something like this +

+#!/bin/csh -x
+# @ job_type         =    parallel
+# @ class            =    small
+# @ network.lapi     = css0,not_shared,US
+# @ input            =    /dev/null
+# @ output           =    <OUTPUT_FILE_NAME>
+# @ error            =    <ERROUT_FILE_NAME>
+# @ environment      =    COPY_ALL; MP_PULSE=0; MP_SINGLE_THREAD=yes; MP_WAIT_MODE=yield; restart=no
+# @ min_processors   =    7
+# @ max_processors   =    7
+# @ cpu_limit        =    1:00:00
+# @ wall_clock_limit =    1:00:00
+# @ queue
+#
+
+cd /scratch
+
+nwchem <INPUT_FILE_NAME>
+
+ +

+Substitute <OUTPUT_FILE_NAME>, <ERROUT_FILE_NAME> and +<INPUT_FILE_NAME> with the full path of the appropriate +files. Also, if you are using an SP with more than one processor per node, +you will need to substitute + +

+

+# @ network.lapi     = css0,shared,US
+# @ node             = NNODE
+# @ tasks_per_node   = NTASK
+
+for the lines +
+# @ network.lapi     = css0,not_shared,US
+# @ min_processors   =    7
+# @ max_processors   =    7
+
+where NNODE is the number of physical nodes to be used and +NTASK is the +number of tasks per node. + +

+These files and the NWChem executable must be in a file system +accessible to all processes. Put the above into a file (e.g., +"test.job") and submit it with the command +

+  llsubmit test.job
+
+It will run a 7 processor, 1 hour job in the queue small. It +should be apparent how to change these values. + +

+Note that on many IBM SPs, including that at EMSL, the local scratch +disks are wiped clean at the beginning of each job and therefore +persistent files should be stored elsewhere. PIOFS is recommended for +files larger than a few MB. + +

+ +

+D.6 Cray T3E +

+ +

+

+  mpprun -n <npes> $NWCHEM_TOP/bin/$NWCHEM_TARGET/nwchem <input_file>
+
+ +

+where npes is the number of processors and input_file is the +name of your input file. + +

+ +

+D.7 Alpha systems with Quadrics switch +

+ +

+

+  prun -n <npes> $NWCHEM_TOP/bin/$NWCHEM_TARGET/nwchem <input_file>
+
+ +

+where npes is the number of processors and input_file is the +name of your input file. + +

+ +

+D.8 Windows 98 and NT +

+ +

+

+   $NWCHEM_TOP/bin/win32/nw32 <input_file>
+
+ +

+where and input_file is the +name of your input file. +If you use WMPI, you must have a file named nw32.pg in the + $NWCHEM_TOP/bin/win32 directory; the file must only contains the +following single line +

+   local 0
+
+ +

+ +

+D.9 Tested Platforms and O/S versions +

+ +

+ +

    +
  • IBM SP with Power 3 and Power 4 nodes, AIX 5.1 + and PSSP 3.4; IBM RS6000 workstation, AIX 5.1. Xlf 8.1.0.0 and + 8.1.0.1 are known to produce bad code. +
  • +
  • SGI R12000 IRIX 6.5 +
  • +
  • SUN workstations with Solaris 2.6 and 2.8. Fujitsu SPARC systems + (thanks to Herbert Früchtl) with Parallelnavi compilers. +
  • +
  • HP DEC alpha workstation , Tru64 V5.1, + Compaq Fortran V5.3, V5.4.2, V5.5.1 +
  • +
  • Linux with Intel x86 cpus. + NWChem Release 4.5 has been tested on RedHat 6.x and 7.x, + Mandrake 7.x. + We have tested NWChem on Linux for the Power PC Macintosh with + Yellow Dog 2.4. + These all use the GCC compiler at different levels. + The Intel Fortran Compiler version 7 is supported. + The Portland Group Compiler has been tested in a less robust manner. + Automatic generation of SSE2 optimized code is available when the + Intel compiler is used (ifc vs g77 performances gain of 40% in + some benchmarks) + A somewhat Athlon optimized code can be generated under the GNU + or Intel compilers by typing make _CPU=k7. + GCC3 specific options can be turned on by typing make GCC31=y +
  • +
  • HP 9000/800 workstations with HPUX B.11.00. f90 must be used for + compilation. +
  • +
  • Intel x86 with Windows 2000 has been tested with Compaq Visual Fortran + 6.0 and 6.1 with WMPI 1.3 or NT-Mpich. + NT-MPICH is available from +http://www-unix.mcs.anl.gov/~ ashton/mpich.nt/ +

    +

  • +
  • Intel IA64 under Linux (with Intel compilers version 7 and later) + and under HPUX. +
  • +
  • Fujitsu VPP computers. + +

    +

  • +
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: About this document ... + Up: user + Previous: C. Examples of geometries +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node45.html b/web/doc/user.4.6/node45.html new file mode 100644 index 0000000000..62c295e88e --- /dev/null +++ b/web/doc/user.4.6/node45.html @@ -0,0 +1,94 @@ + + + + + +About this document ... + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Up: user + Previous: D. Running NWChem +   Contents +
+
+ + +

+About this document ... +

+

+This document was generated using the +LaTeX2HTML translator Version 2002 (1.62) +

+Copyright © 1993, 1994, 1995, 1996, +Nikos Drakos, +Computer Based Learning Unit, University of Leeds. +
+Copyright © 1997, 1998, 1999, +Ross Moore, +Mathematics Department, Macquarie University, Sydney. +

+The command line arguments were:
+ latex2html -split 3 -bottom_navigation -show_section_numbers -image_type gif -local_icons user.tex +

+The translation was initiated by Edoardo Apra on 2004-05-25


+ +next + +up + +previous + +contents +
+ Up: user + Previous: D. Running NWChem +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node5.html b/web/doc/user.4.6/node5.html new file mode 100644 index 0000000000..c87b327918 --- /dev/null +++ b/web/doc/user.4.6/node5.html @@ -0,0 +1,282 @@ + + + + + +3. NWChem Architecture + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 4. Functionality + Up: user + Previous: 2. Getting Started +   Contents +
+
+ + +Subsections + + + +
+ +

+3. NWChem Architecture +

+ +

+As noted above, NWChem consists of independent modules that perform +the various functions of the code. Examples include the input parser, +self-consistent field (SCF) energy, SCF analytic gradient, and density +functional theory (DFT) energy modules. The independent NWChem +modules can share data only through a disk-resident database, which is +similar to the GAMESS-UK dumpfile or the Gaussian checkpoint file. +This allows the modules to share data, or to share +access to files containing data. + +

+It is not necessary for the user to be intimately familiar with the +contents of the database in order to run NWChem. However, a nodding +acquaintance with the design of the code will help in clarifying the +logic behind the input requirements, especially when restarting jobs +or performing multiple tasks within one job. Section +3.1 gives a general description of the database. + +

+As described above (Section 2.1), all start-up +directives are processed at the beginning of the job by the main +program, and then the input module is invoked. Each input directive +usually results in one or more entries being made in the database. +When a TASK directive is encountered, control is passed to the +appropriate module, which extracts relevant data from the database and +any associated files. Upon completion of the task, the module will +store significant results in the database, and may also modify other +database entries in order to affect the behavior of subsequent +computations. + +

+ +

+ +
+3.1 Database Structure +

+ +

+ +

+Data is shared between modules of NWChem by means of the database. +Three main types of information are stored in the data base: (1) +arrays of data, (2) names of files that contain data, and (3) objects. +Arrays are stored directly in the database, and contain the following +information: + +

    +
  1. the name of the array, which is a string of ASCII characters + (e.g., "reference energies") +
  2. +
  3. the type of the data in the array (i.e., real, integer, logical, + or character) +
  4. +
  5. the number (N) of data items in the array (Note: A scalar is + stored as an array of unit length.) +
  6. +
  7. the N items of data of the specified type +
  8. +
+ +

+ +

+It is possible to enter data directly into the database using the +SET directive (see Section 5.7). For example, to +store a (64-bit precision) three-element real array with the name +"reference energies" in the database, the directive is as +follows: +

+  set "reference energies" 0.0 1.0 -76.2
+
+NWChem determines the data to be real (based on the type of the first +element, 0.0), counts the number of elements in the array, and +enters the array into the database. + +

+Much of the data stored in the database is internally managed by +NWChem and should not be modified by the user. However, other data, +including some NWChem input options, can be freely modified. + +

+Objects are built in the database by storing associated data as +multiple entries, using an internally consistent naming convention. +This data is managed exclusively by the subroutines (or methods) that +are associated with the object. Currently, the code has two main +objects: basis sets and geometries. Sections 6 and +7 present a complete discussion of the input to describe +these objects. + +

+As an illustration of what comprises a geometry object, the following +table contains a partial listing of the database contents for a water +molecule geometry named "test geom". Each entry contains the +field test geom, which is the unique name of the object. + +

+

+ Contents of RTDB h2o.db
+ -----------------------
+
+ Entry                                   Type[nelem]
+ ---------------------------  ----------------------
+ geometry:test geom:efield             double[3]    
+ geometry:test geom:coords             double[9]    
+ geometry:test geom:ncenter               int[1]    
+ geometry:test geom:charges            double[3]    
+ geometry:test geom:tags                 char[6]
+ ...
+
+ +

+Using this convention, multiple instances of objects may be stored +with different names in the same database. For example, if a user +needed to do calculations considering alternative geometries for the +water molecule, an input file could be constructed containing all the +geometries of interest by storing them in the database under different +names. + +

+The runtime database contents for the file h2o.db listed above +were generated from the user-specified input directive, +

+  geometry "test geom"
+    O     0.00000000    0.00000000    0.00000000
+    H     0.00000000    1.43042809   -1.10715266
+    H     0.00000000   -1.43042809   -1.10715266
+  end
+
+The GEOMETRY directive allows the user to specify the +coordinates of the atoms (or centers), and identify the geometry with +a unique name. (Refer to Section 6 for a complete +description of the GEOMETRY directive.) + +

+Unless a specific name is defined for the geometry, (such as the name +"test geom" shown in the example), the default name of +geometry is assigned. This is the geometry name that +computational modules will look for when executing a calculation. The +SET directive can be used in the input to force NWChem to look +for a geometry with a name other than geometry. For example, +to specify use of the geometry with the name "test geom" in the +example above, the SET directive is as follows: + +

+

+  set geometry "test geom"
+
+ +

+NWChem will automatically check for such indirections when loading +geometries. Storage of data associated with basis sets, the other +database resident object, functions in a similar fashion, using the +default name "ao basis". + +

+ +

+ +
+3.2 Persistence of data and restart +

+ +

+The database is persistent, meaning that all input data and output +data (calculation results) that are not destroyed in the course of +execution are permanently stored. These data are therefore available +to subsequent tasks or jobs. This makes the input for restart jobs +very simple, since only new or changed data must be provided. It also +makes the behavior of successive restart jobs identical to that +of multiple tasks within one job. + +

+Sometimes, however, this persistence is undesirable, and it is +necessary to return an NWChem module to its default behavior by +restoring the database to its input-free state. In such a case, the +UNSET directive (see Section 5.8) can be used to +delete all database entries associated with a given module (including +both inputs and outputs). + +

+


+ + +next + +up + +previous + +contents +
+ Next: 4. Functionality + Up: user + Previous: 2. Getting Started +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node6.html b/web/doc/user.4.6/node6.html new file mode 100644 index 0000000000..6715d22524 --- /dev/null +++ b/web/doc/user.4.6/node6.html @@ -0,0 +1,449 @@ + + + + + +4. Functionality + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 5. Top-level directives + Up: user + Previous: 3. NWChem Architecture +   Contents +
+
+ + +Subsections + + + +
+ +

+4. Functionality +

+ +

+NWChem provides many methods to compute the properties of molecular and +periodic systems using standard quantum mechanical descriptions of the +electronic wavefunction or density. In addition, NWChem has the +capability to perform classical molecular dynamics and free energy +simulations. These approaches may be combined to perform mixed +quantum-mechanics and molecular-mechanics simulations. + +

+NWChem is available on almost all high performance computing platforms, +workstations, PCs running LINUX, as well as clusters of desktop platforms or +workgroup servers. NWChem development has been devoted to providing +maximum efficiency on massively parallel processors. It achieves this performance +on the 1960 processors HP Itanium2 system in the EMSL's MSCF. +It has not been optimized for high performance on single processor desktop systems. + +

+ +

+4.1 Molecular electronic structure +

+ +

+The following quantum mechanical methods are available to calculate +energies, analytic first derivatives and second derivatives with respect to atomic +coordinates. + +

+ +

    +
  • Self Consistent Field (SCF) or Hartree Fock (RHF, UHF). +
  • +
  • Gaussian Density Functional Theory (DFT), using many local, + non-local (gradient-corrected), and hybrid (local, non-local, and HF) +exchange-correlation potentials +(spin-restricted) +with formal $N^3$ and $N^4$ scaling. +
  • +
+ +

+The following methods are available to calculate energies and analytic +first derivatives with respect to atomic coordinates. Second derivatives +are computed by finite difference of the first derivatives. + +

+ +

    +
  • Self Consistent Field (SCF) or Hartree Fock (ROHF). +
  • +
  • Gaussian Density Functional Theory (DFT), using many local, + non-local (gradient-corrected), and hybrid (local, non-local, and HF) +exchange-correlation potentials +(spin-unrestricted) +with formal $N^3$ and $N^4$ scaling. +
  • +
  • Spin-orbit DFT (SODFT), using many local and non-local (gradient-corrected) +exchange-correlation potentials (spin-unrestricted). +
  • +
  • MP2 including semi-direct using frozen core and RHF and UHF reference. +
  • +
  • Complete active space SCF (CASSCF). +
  • +
+ +

+The following methods are available to compute energies only. First +and second derivatives are computed by finite difference of the +energies. + +

    +
  • CCSD, CCSD(T), CCSD+T(CCSD), with RHF reference. +
  • +
  • Selected-CI with second-order perturbation correction. +
  • +
  • MP2 fully-direct with RHF reference. +
  • +
  • Resolution of the identity integral approximation MP2 (RI-MP2), with + RHF and UHF reference. +
  • +
  • CIS, TDHF, TDDFT, and Tamm-Dancoff TDDFT for excited states with RHF, UHF, RDFT, or UDFT reference. +
  • +
  • CCSD(T) and CCSD[T] for closed- and open-shell systems (TCE module) +
  • +
  • UCCD, ULCCD, UCCSD, ULCCSD, UQCISD, UCCSDT, and UCCSDTQ with RHF, UHF, or ROHF reference. +
  • +
  • UCISD, UCISDT, and UCISDTQ with RHF, UHF, or ROHF reference. +
  • +
  • Non-canonical UMP2, UMP3, and UMP4 with RHF or UHF reference. +
  • +
  • EOM-CCSD, EOM-CCSDT, EOM-CCSDTQ for excitation energies, transition +moments, and excited-state dipole moments of closed- and open-shell +systems +
  • +
  • CCSD, CCSDT, CCSDTQ for dipole moments of closed- and open-shell +systems +
  • +
+ +

+For all methods, the following operations may be performed: + +

    +
  • Single point energy +
  • +
  • Geometry optimization (minimization and transition state) +
  • +
  • Molecular dynamics on the fully ab initio potential energy + surface +
  • +
  • Numerical first and second derivatives automatically computed if + analytic derivatives are not available +
  • +
  • Normal mode vibrational analysis in cartesian coordinates +
  • +
  • ONIOM hybrid method of Morokuma and co-workers +
  • +
  • Generation of the electron density file for graphical display +
  • +
  • Evaluation of static, one-electron properties. +
  • +
  • Electrostatic potential fit of atomic partial charges (CHELPG method with + optional RESP restraints or charge constraints) +
  • +
+ +

+For closed and open shell SCF and DFT: + +

    +
  • COSMO energies - the continuum solvation `COnductor-like Screening MOdel' + of A. Klamt and G. Schüürmann to describe dielectric screening effects in + solvents. +
  • +
+ +

+In addition, automatic interfaces are provided to + +

    +
  • The natural bond orbital (NBO) package +
  • +
  • Python +
  • +
+ +

+ +

+4.2 Relativistic effects +

+ +

+The following methods for including relativity in quantum chemistry +calculations are available: + +

    +
  • The spin-free one-electron Douglas-Kroll approximation is available for all + quantum mechanical methods and their gradients. +
  • +
  • Dyall's spin-free Modified Dirac Hamiltonian approximation is available + for the Hartree-Fock method and its gradients. +
  • +
  • One-electron spin-orbit effects can be included via spin-orbit potentials. + This option is available for DFT and its gradients, but has to be run without + symmetry. +
  • +
+ +

+ +

+4.3 Pseudopotential plane-wave electronic structure +

+ +

+Two modules are available to compute the energy, optimize the +geometry, numerical second derivatives, and perform ab initio +molecular dynamics using pseudopotential plane-wave DFT. + +

+ +

    +
  • PSPW - (Pseudopotential plane-wave) A gamma point code for calculating +molecules, liquids, crystals, and surfaces. +
  • +
  • Band - A prototype band structure code for calculating crystals and +surfaces with small band gaps (e.g. semi-conductors and metals) +
  • +
+ +

+With + +

+ +

    +
  • Conjugate gradient and limited memory BFGS minimization +
  • +
  • Car-Parrinello (extended Lagrangian dynamics) +
  • +
  • Constant energy and constant temperature Car-Parrinello simulations +
  • +
  • Fixed atoms in cartesian and SHAKE constraints in Car-Parrinello +
  • +
  • Pseudopotential libraries +
  • +
  • Hamann and Troullier-Martins norm-conserving pseudopotentials with +optional semicore corrections +
  • +
  • Automated wavefunction initial guess, now with LCAO +
  • +
  • Vosko and PBE96 exchange-correlation potentials (spin-restricted +and unrestricted) +
  • +
  • Orthorhombic simulation cells with periodic and +free space boundary conditions. +
  • +
  • Modules to convert between small and large plane-wave expansions +
  • +
  • Interface to DRIVER, STEPPER, and VIB modules +
  • +
  • Polarization through the use of point charges +
  • +
  • Mulliken, point charge, DPLOT (wavefunction, density and electrostatic +potential plotting) analysis +
  • +
+ +

+ +

+4.4 Molecular dynamics +

+ +

+The following functionality is available for classical molecular +simulations: + +

    +
  • Single configuration energy evaluation +
  • +
  • Energy minimization +
  • +
  • Molecular dynamics simulation +
  • +
  • Free energy simulation (multistep thermodynamic perturbation (MSTP) or + multiconfiguration thermodynamic integration (MCTI) methods with + options of single and/or dual topologies, double wide sampling, and + separation-shifted scaling) +
  • +
+ +

+The classical force field includes: + +

    +
  • Effective pair potentials (functional form used in AMBER, GROMOS, + CHARMM, etc.) +
  • +
  • First order polarization +
  • +
  • Self consistent polarization +
  • +
  • Smooth particle mesh Ewald (SPME) +
  • +
  • Twin range energy and force evaluation +
  • +
  • Periodic boundary conditions +
  • +
  • SHAKE constraints +
  • +
  • Consistent temperature and/or pressure ensembles +
  • +
+ +

+NWChem also has the capability to combine classical and quantum +descriptions in order to perform: + +

    +
  • Mixed quantum-mechanics and molecular-mechanics (QM/MM) + minimizations and molecular dynamics simulation , and +
  • +
  • Quantum molecular dynamics simulation by using any of the quantum + mechanical methods capable of returning gradients. +
  • +
+ +

+By using the DIRDYVTST module of NWChem, the user can write an input +file to the POLYRATE program, which can be used to calculate rate +constants including quantum mechanical vibrational energies and tunneling +contributions. + +

+ +

+4.5 Python +

+ +

+The Python programming language has been embedded within NWChem and +many of the high level capabilities of NWChem can be easily combined +and controlled by the user to perform complex operations. + +

+ +

+4.6 Parallel tools and libraries (ParSoft) +

+ +

+ +

    +
  • Global arrays (GA) +
  • +
  • Agregate Remote Memory Copy Interface (ARMCI) +
  • +
  • Linear Algebra (PeIGS) and FFT +
  • +
  • ParIO +
  • +
  • Memory allocation (MA) +
  • +
+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 5. Top-level directives + Up: user + Previous: 3. NWChem Architecture +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node7.html b/web/doc/user.4.6/node7.html new file mode 100644 index 0000000000..743c15319e --- /dev/null +++ b/web/doc/user.4.6/node7.html @@ -0,0 +1,1395 @@ + + + + + +5. Top-level directives + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 6. Geometries + Up: user + Previous: 4. Functionality +   Contents +
+
+ + +Subsections + + + +
+ +

+5. Top-level directives +

+ +

+Top-level directives are directives that can affect all modules in the +code. Some specify molecular properties (e.g., total charge) or other +data that should apply to all subsequent calculations with the current +database. However, most top-level directives provide the user with +the means to manage the resources for a calculation and to start +computations. As the first step in the execution of a job, NWChem +scans the entire input file looking for start-up directives, which +NWChem must process before all other input. The input file is then +rewound and processed sequentially, and each directive is processed in +the order in which it is encountered. In this second pass, start-up +directives are ignored. + +

+The following sections describe each of the top-level directives in +detail, noting all keywords, options, required input, and defaults. + +

+ +

+ +
+5.1 START and RESTART -- Start-up mode +

+ +

+A START or RESTART directive is +optional. If one of these two directives is not specified +explicitly, the code will infer one, based upon the name of the +input file and the availability of the database. When allowing NWChem +to infer the start-up directive, the user must be quite certain that +the contents of the database will result in the desired action. It +is usually more prudent to specify the directive explicitly, using the +following format: + +

+

+(RESTART || START)   \
+            [<string file_prefix default $input_file_prefix$>] \
+            [rtdb <string rtdb_file_name default $file_prefix$.db>]
+
+ +

+The START directive indicates that the calculation is one in +which a new database is to be created. Any relevant information that +already exists in a previous database of the same name is destroyed. +The string variable <file_prefix> will be used as the prefix to +name any files created in the course of the calculation. + +

+E.g., to start a new calculation on water, one might specify +

+  start water
+
+which will make all files begin with "water.". + +

+If the user does not specify an entry for <file_prefix> on the +START directive (or omits the START directive +altogether), the code uses the base-name of the input file as the file +prefix. That is, the variable <file_prefix> is assigned the +name of the input file (not its full pathname), but without the last +``dot-suffix''. For example, the input file name +/home/dave/job.2.nw yields job.2 as the file prefix, if +a name is not assigned explicitly using the START directive. + +

+The user also has the option of +specifying a unique name for the database, using the keyword rtdb. When this keyword is entered, the string entered for rtdb_file_name is used as the database name. If the keyword rtbd is omitted, the name of the database defaults to +$<file_prefix>$.db in the directory for permanent files. + +

+If a calculation is to start from a previous calculation and go on +using the existing database, the RESTART directive +must be used. In such a case, the previous +database must already exist. The name specified for <file_prefix> +usually should +not be changed when restarting a calculation. If it is changed, NWChem +will not +be able to find needed files when going on with the +calculation. + +

+In the most common +situation, the previous calculation was completed (with or without an error +condition), and it is desired to perform a new task or restart the +previous one, perhaps with some input changes. In these instances, +the RESTART directive should be used. This reuses the previous +database and associated files, and reads the input file for new input +and task information. + +

+The RESTART directive looks immediately for new input and task +information, deleting information about previous incomplete tasks. +For example, when doing a RESTART there is no need +to specify geometry or basis set declaration because the +program will detect this information since it is stored in the +run-time database. + +

+If a calculation runs out of time, for example because it is +on a queuing system, this is another instance where doing a +RESTART is advisable. Simply include nothing after the +RESTART directive except those tasks that are unfinished. + +

+NOTE: Due to changes in the runtime database structure, RESTART +will not work on database files generated by NWChem versions 4.0.1 and +older. + +

+To summarize the default options for this start-up directive, if the +input file does not contain a START or a +RESTART directive, then + +

    +
  • the variable <file_prefix> is assigned the name of the +input file for the job, without the suffix (which is usually .nw) +
  • +
  • the variable <rtdb_file_name> is assigned the default name, +$file_prefix$.db +
  • +
+If the database with name $file_prefix$.db does not +already exist, +the calculation is carried out as if a START directive had +been encountered. If the database with name $file_prefix$.db +does exist, then the calculation is performed as if a +RESTART directive had been encountered. + +

+For example, NWChem can be run using an input file with the name +water.nw +by typing the UNIX command line, + +

+

+   nwchem water.nw
+
+ +

+If the NWChem input file water.nw does not contain +a START or RESTART directive, the code +sets the variable <file_prefix> to water. Files created +by the job will have this prefix, and the database will be named +water.db. If the database water.db does not exist already, +the code behaves as if the input file contains the directive, + +

+

+  start water
+
+ +

+If the database water.db does exist, +the code behaves as if the input file contained the directive, + +

+

+  restart water
+
+ +

+ +

+ +
+5.2 SCRATCH_DIR and PERMANENT_DIR -- File directories +

+ +

+These are start-up directives that allow the user to specify the +directory location of scratch and permanent files created by NWChem. +NWChem distinguishes between permanent (or persistent) files and +scratch (or temporary) files, and allows the user the option of +putting them in different locations. In most installations, however, +permanent and scratch files are all written to the current directory +by default. What constitutes ``local'' disk space may also differ from +machine to machine. + +

+The conventions for file storage are at the discretion of the specific +installation, and are quite likely to be different on different machines. +When assigning locations for permanent and +scratch files, +the user must be cognizant of the characteristics of the installation +on a particular platform. +To consider just a few examples, on +clusters, machine-specific or process-specific +names must be supplied for both local and shared file +systems, while on SMPs it is useful to specify scratch file directories +with automated striping across processors with round-robin allocation. +On SMP clusters (a.k.a. constellations), both of these specifications +are required. + +

+The SCRATCH_DIR and PERMANENT_DIR directives are +identical in format and capability, and enable the user to specify a +single directory for all processes, or different directories for +different processes. The general form of the directive is as follows: + +

+

+   (PERMANENT_DIR || SCRATCH_DIR) [(<string host>||<integer process>):] \
+                                       <string directory> \ 
+                                  [...]
+
+ +

+Directories are extracted from the user input by executing the +following steps, in sequence: + +

    +
  1. Look for a directory qualified by the process ID number of the + invoking process. Processes are numbered from zero. Else, +
  2. +
  3. If there is a list of directories qualified by the name of the + host machine5.1, then use round-robin allocation from the list for + processes executing on the given host. Else, +
  4. +
  5. If there is a list of directories unqualified by any hostname + or process ID, then use round-robin allocation from this list. +
  6. +
+If directory allocation directive(s) are not specified in the input +file, or if no match is found to the directory names specified by +input using these directives, then the steps above are executed using +the installation-specific defaults. If the code cannot find a valid +directory name based on the input specified in either the directive(s) +or the system defaults, files are automatically written to the current +working directory ("."). + +

+The following is a list of examples of specific allocations of scratch +directory locations: + +

    +
  • Put scratch files from all processes in the local scratch directory +(Warning: the definition of ``local scratch directory'' may change from +machine to machine): +
    +      scratch_dir /localscratch
    +
    +
  • +
  • Put scratch files from Process 0 in /piofs/rjh, but put all +other scratch files in /scratch: +
    +      scratch_dir /scratch 0:/piofs/rjh
    +
    +
  • +
  • Put scratch files from Process 0 in directory scr1, those from +Process 1 in scr2, and so forth, in a round-robin fashion, using the +given list of directories: +
    +      scratch_dir /scr1 /scr2 /scr3 /scr4 /scr5
    +
    +
  • +
  • Allocate files in a round-robin fashion from + host-specific lists for processes distributed across two + SGI multi-processor machines (node names coho and bohr): +
    +      scratch_dir coho:/xfs1/rjh coho:/xfs2/rjh coho:/xfs3/rjh \
    +          bohr:/disk01/rjh bohr:/disk02/rjh bohr:/disk13/rjh
    +
    +
  • +
+ +

+ +

+5.3 MEMORY -- Control of memory limits +

+ +

+This is a start-up directive that allows the user to specify the +amount of memory that NWChem can use for the job. If this directive +is not specified, memory is allocated according to +installation-dependent defaults. The defaults should generally + suffice for most calculations, since the defaults usually correspond + to the total amount of memory available on the machine. It should +usually be unnecessary to provide a memory directive!!! + +

+The general form of the directive is as follows: + +

+

+  MEMORY [[total] <integer total_size>] \
+         [stack <integer stack_size>] \
+         [heap <integer heap_size>] \
+         [global <integer global_size>] \
+         [units <string units default real>] \
+         [(verify||noverify)] \
+         [(nohardfail||hardfail)] \
+
+ +

+NWChem recognizes the following memory units: + +

    +
  • real and double (synonyms) +
  • +
  • integer +
  • +
  • byte +
  • +
  • kb (kilobytes) +
  • +
  • mb (megabytes) +
  • +
  • mw (megawords, 64-bit word) +
  • +
+ +

+In most cases, the user need specify only the total memory limit to +adjust the amount of memory used by NWChem. The following specifications +all provide for eight megabytes of total +memory (assuming 64-bit floating point numbers), which will be +distributed according to the default partitioning: +

+  memory 1048576
+  memory 1048576 real
+  memory 1 mw
+  memory 8 mb
+  memory total 8 mb
+  memory total 1048576
+
+ +

+In NWChem there are three distinct regions of memory: stack, heap, +and global. Stack and heap are node-private, while the union of the +global region on all processors is used to provide globally-shared memory. +The allowed limits on each category are determined from a default +partitioning (currently 25% heap, 25% stack, and 50% global). +Alternatively, the keywords stack, heap, and +global can be used to define specific allocations for each of +these categories. If the user sets only one of the stack, heap, or +global limits by input, the limits for the other two categories are +obtained by partitioning the remainder of the total memory available +in proportion to the weight of those two categories in the default +memory partitioning. If two of the category limits are given, the +third is obtained by subtracting the two given limits from the total +limit (which may have been specified or may be a default value). If +all three category limits are specified, they determine the total +memory allocated. However, if the total memory is also specified, it +must be larger than the sum of all three categories. The code will +abort if it detects an inconsistent memory specification. + +

+The following memory directives also allocate 8 megabytes, but specify +a complete partitioning as well: + +

+

+  memory total 8 stack 2 heap 2 global 4 mb
+  memory stack 2 heap 2 global 4 mb
+
+ +

+The optional keywords verify and noverify in the +directive give the user the option of enabling or disabling automatic +detection of corruption of allocated memory. The default is +verify, which enables the feature. This incurs some +overhead (which can be around 10% increase in walltime on some platforms), +which can be eliminated by specifying noverify. + +

+The keywords hardfail and nohardfail give the user the +option of forcing (or not forcing) the local memory management +routines to generate an internal fatal error if any memory operation +fails. The default is nohardfail, which allows the code to +continue past any memory operation failure, and perhaps generate a +more meaningful error message before terminating the calculation. +Forcing a hard-fail can be useful when poorly coded applications do +not check the return status of memory management routines. + +

+When assigning the specific memory allocations using the keywords +stack, heap, and global in the MEMORY +directive, the user should be aware that some of the distinctions +among these categories of memory have been blurred in their actual +implementation in the code. The memory allocator (MA) allocates both +the heap and the stack from a single memory region of size heap+stack, without enforcing the partition. The heap vs. stack +partition is meaningful only to applications developers, and can be +ignored by most users. Further complicating matters, the global array +(GA) toolkit is allocated from within the MA space on distributed +memory machines, while on shared-memory machines it is +separate5.2. + +

+On distributed memory platforms, the MA region is actually the total +size of +

+   stack+heap+global
+
+All three types of memory allocation +compete for the same pool of memory, with no limits except on the +total available memory. This relaxation of the memory category +definitions usually benefits the user, since it can allow allocation +requests to succeed where a stricter memory model would cause the +directive to fail. These implementation characteristics must be kept +in mind when reading program output that relates to memory usage. + +

+Standard default for memory is currently 400 MB. + +

+ +

+ +
+5.4 ECHO -- Print input file +

+ +

+This start-up directive is provided as a convenient way to include a +listing of the input file in the output of a calculation. It causes +the entire input file to be printed to Fortran unit six (standard +output). It has no keywords, arguments, or options, and consists of +the single line: + +

+

+  ECHO
+
+ +

+The ECHO directive is processed only +once, by Process 0 when the input file is read. + +

+ +

+5.5 TITLE -- Specify job title +

+ +

+This top-level directive allows the user to identify a job or series +of jobs that use a particular database. It is an optional directive, +and if omitted, the character string containing the input title will +be empty. Multiple TITLE directives may appear in the input +file (e.g., the example file in Section 2.3) in which +case a task will use the one most recently specified. The format for +the directive is as follows: + +

+

+  TITLE <string title>
+
+ +

+The character string <title> is assigned to the contents of the +string following the TITLE directive. If the string contains +white space, it must be surrounded by double quotes. For example, + +

+

+  title "This is the title of my NWChem job"
+
+ +

+The title is stored in the database and will be used in all subsequent +tasks/jobs until redefined in the input. + +

+ +

+ +
+5.6 PRINT and NOPRINT -- Print control +

+ +

+The PRINT and NOPRINT directives allow the user to +control how much output NWChem generates. These two directives are +special in that the compound directives for all modules are +supposed to recognize them. Each module can control both the overall +print level (general verbosity) and the printing of individual items +which are identified by name (see below). The standard form of the +PRINT directive is as follows: + +

+

+  PRINT [(none || low || medium || high || debug) default medium] \
+        [<string list_of_names ... >]
+
+  NOPRINT <string list_of_names ... >
+
+The default print level is medium. + +

+Every output that is printed by NWChem has a print threshold +associated with it. If this threshold is equal to or lower than the +print level requested by the user, then the output is generated. For +example, the threshold for printing the SCF energy at convergence is +low (Section 10.16). This means that if the +user-specified print level on the PRINT directive is +low, medium, high, or debug, then the SCF +energy will be printed at convergence. + +

+The overall print level specified +using the PRINT directive is a convenient tool for controlling +the verbosity +of NWChem. Setting the print level to high might be helpful in +diagnosing convergence problems. The print level of debug might +also be of use in evaluating problem cases, but the user should be aware +that this can generate a huge amount of output. Setting the print level +to low might be the preferable choice for geometry +optimizations that will perform many steps which are in themselves of +little interest to the user. + +

+In addition, it is possible to enable the printing of specific +items by naming them in the PRINT directive in the +<list_of_names>. Items identified in this way will be printed, +regardless of the overall print level specified. Similarly, the +NOPRINT directive can be used to suppress the printing of specific +items by naming them in its <list_of_names>. These items will +not be printed, regardless of the overall print level, or the +specific print level of the individual items. + +

+The list of items that can be printed for each module is documented +as part of the input instructions for that module. +The items recognized by the top level of the code, and their thresholds, +are: +

+
+ + + +
Table 5.1: +Top Level Print Control Specifications
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
NamePrint LevelDescription
``total time''mediumPrint cpu and wall time at job end
``task time''highPrint cpu and wall time for each task
``rtdb''highPrint names of RTDB entries
``rtdbvalues''highPrint name and values of RTDB entries
``ga summary''mediumSummarize GA allocations at job end
``ga stats''highPrint GA usage statistics at job end
``ma summary''mediumSummarize MA allocations at job end
``ma stats''highPrint MA usage statistics at job end
``version''debugPrint version number of all compiled routines
``tcgmsg''neverPrint TCGMSG debug information
+
+
+

+
+ +

+The following example shows how a PRINT directive for the top level +process can be used to limit printout to only essential information. +The directive is + +

+

+  print none "ma stats" rtdb
+
+ +

+This directive instructs the NWChem main program to print nothing, +except for the memory usage statistics (ma stats) and +the names of all items stored in the database at the end of the job. + +

+The print level within a module is inherited from the +calling layer. For instance, by specifying the print to be low +within the MP2 module will cause the SCF, CPHF and gradient modules +when invoked from the MP2 to default to low print. Explicit user +input of print thresholds overrides the inherited value. + +

+ +

+ +
+5.7 SET -- Enter data in the RTDB +

+ +

+This top-level directive allows the user to enter data directly into the +run-time +database (see Section 3.1 for a description of the database). +The format of the directive is as follows: + +

+

+  SET <string name> [<string type default automatic>] <$type$ data>
+
+ +

+The entry for variable <name> is the name of +data to be entered into the database. This must be specified; there is no default. The variable <type>, which is +optional, allows the user to define a string specifying the type of +data in the array <name>. The data type can be explicitly +specified as integer, real, double, +logical, or string. If no entry for <type> is +specified on the directive, its value is inferred from the data type +of the first datum. In such a case, floating-point data +entered using this directive must include either an exponent or a +decimal point, to ensure that the correct default type will be +inferred. The correct default type will be inferred for logical +values if logical-true values are specified as .true., +true, or t, and logical-false values are specified as +.false., false, or f. One exception to the +automatic detection of the data type is that the data type must +be explicitly stated to input integer ranges, unless the first +element in the list is an integer that is not a range (c.f., +2.4). For example, +

+  set atomid 1 3:7 21
+
+will be interpreted as a list of integers. However, +
+  set atomid 3:7 21
+
+will not work since the first element will be interpreted as a +string and not an integer. To work around this feature, use instead +
+  set atomid integer 3:7 21
+
+which says to write three through seven, as well as twenty-one. + +

+The SET directive is useful for providing indirection by +associating the name of a basis set or geometry with the standard +object names (such as "ao basis" or geometry) used by +NWChem. The following input file shows an example using the +SET directive to direct different tasks to different +geometries. The required input lines are as follows: + +

+

+  title "Ar dimer BSSE corrected MP2 interaction energy"
+  geometry "Ar+Ar"
+    Ar1 0 0 0
+    Ar2 0 0 2
+  end
+
+  geometry "Ar+ghost"
+    Ar1 0 0 0
+    Bq2 0 0 2
+  end
+
+  basis
+    Ar1 library aug-cc-pvdz
+    Ar2 library aug-cc-pvdz
+    Bq2 library Ar aug-cc-pvdz
+  end
+
+  set geometry "Ar+Ar"
+  task mp2 
+
+  scf; vectors atomic; end
+
+  set geometry "Ar+ghost"
+  task mp2
+
+ +

+This input tells the code to perform MP2 energy calculations +on an argon dimer in the first task, and then +on the argon atom in the presence of the ``ghost'' basis of the other +atom. + +

+The SET directive can also be used as an indirect means of +supplying input to a part of the code that does not have a separate +input module (e.g., the atomic SCF, Section 10.5.2). +Additional examples of applications of this directive can be found in +the sample input files (see Section 2.3), and +its usage with basis sets (Section 7) and geometries +(Section 6). Also see Section 3.1 for +an example of how to store an array in the database. + +

+ +

+ +
+5.8 UNSET -- Delete data in the RTDB +

+ +

+This directive gives the user a way to delete simple entries from the +database. The general form of the directive is as follows: + +

+

+  UNSET <string name>[*]
+
+ +

+This directive cannot be used with complex objects such as geometries +and basis sets5.3. A +wild-card (*) specified at the end of the string <name> will +cause all entries whose name begins with that string to be +deleted. This is very useful as a way to reset modules to their +default behavior, since modules typically store information in the +database with names that begin with module:. For example, the +SCF program can be restored to its default behavior by deleting all +database entries beginning with scf:, using the directive + +

+

+  unset scf:*
+
+ +

+Section 10.5.1 has an example using + unset on a water dimer calculation. + +

+The following example makes an entry in the database using the +SET directive, and then immediately deletes it using the +UNSET directive: + +

+

+  set mylist 1 2 3 4
+  unset mylist
+
+ +

+ +

+5.9 STOP -- Terminate processing +

+ +

+This top-level directive provides a convenient way of verifying +an input file without actually running the calculation. It consists +of the single line, + +

+

+  STOP
+
+ +

+As soon as this directive is encountered, all processing ceases and +the calculation terminates with an error condition. + +

+ +

+ +
+5.10 TASK -- Perform a task +

+ +

+The TASK directive is used to tell the code what to do. The +input directives are parsed sequentially until a TASK directive +is encountered, as described in Section 2.1. At +that point, the calculation or operation specified in the TASK +directive is performed. When that task is completed, the code looks +for additional input to process until the next TASK directive +is encountered, which is then executed. This process continues to the +end of the input file. NWChem expects the last directive before the +end-of-file to be a TASK directive. If it is not, a warning +message is printed. Since the database is persistent, multiple tasks +within one job behave exactly the same as multiple restart jobs +with the same sequence of input. + +

+There are four main forms of the the TASK directive. The most +common form is used to tell the code at what level of theory to +perform an electronic structure calculation, and which specific +calculations to perform. The second form is used to specify tasks +that do not involve electronic structure calculations or tasks that +have not been fully implemented at all theory levels in NWChem, such +as simple property evaluations. The third form is used to execute +UNIX commands on machines having a Bourne shell. The fourth form is +specific to combined quantum-mechanics and molecular-mechanics (QM/MM) +calculations. + +

+By default, the program terminates when a task does not complete +successfully. The keyword ignore can be used to prevent this +termination, and is recognized by all forms of the TASK +directive. When a TASK directive includes the keyword +ignore, a warning message is printed if the task fails, and +code execution continues with the next task. An example of this feature +is given in the sample input file +in Section 11.5. + +

+The input options, keywords, and defaults for each of these four forms +for the TASK directive are discussed in the following sections. + +

+ +

+ +
+5.10.1 TASK Directive for Electronic Structure Calculations +

+ +

+This is the most commonly used version of the TASK directive, and +it has the following form: + +

+

+  TASK <string theory> [<string operation default energy>] [ignore]
+
+ +

+The string <theory> specifies the level of theory to be used in the +calculations for this task. NWChem currently supports ten different +options. These are listed below, with the corresponding entry for +the variable <theory>: + +

    +
  • scf -- Hartree-Fock +
  • +
  • dft -- Density functional theory for molecules +
  • +
  • sodft -- Spin-Orbit Density functional theory +
  • +
  • mp2 -- MP2 using a semi-direct algorithm +
  • +
  • direct_mp2 -- MP2 using a full-direct algorithm +
  • +
  • rimp2 -- MP2 using the RI approximation +
  • +
  • ccsd -- Coupled-cluster single and double excitations +
  • +
  • ccsd(t) -- Coupled-cluster linearized triples approximation +
  • +
  • ccsd+t(ccsd) -- Fourth order triples contribution +
  • +
  • mcscf -- Multiconfiguration SCF +
  • +
  • selci -- Selected configuration interaction with perturbation + correction +
  • +
  • md -- Classical molecular dynamics simulation +
  • +
  • pspw -- Pseudopotential plane-wave density functional theory for molecules and insulating solids using NWPW +
  • +
  • band -- Pseudopotential plane-wave +density functional theory for solids using NWPW +
  • +
  • tce -- Tensor Contraction Engine (please see +Section 15.4 for a complete description of this task directive + +

    +

  • +
+ +

+The string <operation> specifies the calculation that will +be performed in the task. The default operation is a single point energy +evaluation. The following list gives the selection of operations currently +available in NWChem: + +

    +
  • energy -- Evaluate the single point energy. +
  • +
  • gradient -- Evaluate the derivative of the energy with respect to nuclear coordinates. +
  • +
  • optimize -- Minimize the energy by varying the molecular + structure. By default, this geometry optimization is presently driven by the Driver + module (see Section 20), but the Stepper module + (see Section 21) may also be used. +
  • +
  • saddle -- Conduct a search for a transition state (or saddle point) + using either Driver (Section 20, the default) or + Stepper (Section 21). +
  • +
  • hessian -- Compute second derivatives. See Section 24 + for analytic hessians. +
  • +
  • frequencies or freq -- Compute second derivatives + and print out an analysis of molecular vibrations. See Section 25 + for controls for vibration calculations. +
  • +
  • dynamics -- Perform classical molecular dynamics. +
  • +
  • thermodynamics -- Perform multi-configuration + thermodynamic integration using classical MD +
  • +
+ +

+NOTE: See Section 35.1 for the complete list of operations +that accompany the NWPW module. + +

+The user should be aware that some of these operations (gradient, +optimize, dynamics, thermodynamics) require computation of +derivatives of the energy with respect to the molecular coordinates. +If analytical derivatives are not available (Section +4), they must be computed numerically, which can +be very computationally intensive. + +

+Here are some examples of the TASK directive, to illustrate the +input needed to specify particular calculations with the code. To +perform a single point energy evaluation using any level of theory, the +directive is very simple, since the energy evaluation is the default +for the string operation. For an SCF energy calculation, the +input line is simply +

+  task scf
+
+Equivalently, the operation can be specified explicitly, using the +directive +
+  task scf energy
+
+ +

+Similarly, to perform a geometry optimization using density functional +theory, the TASK directive is +

+  task dft optimize
+
+ +

+The optional keyword ignore can be used to allow execution to +continue even if the task fails, as discussed above. +An example with the keyword ignore +can be found in Section 11.5. + +

+ +

+5.10.2 TASK Directive for Special Operations +

+ +

+This form of the TASK directive is used in instances where the +task to be performed does not fit the model of the previous version +(such as execution of a Python program, Section 36), or +if the operation has not yet been implemented in a fashion that +applies to a wide range of theories (e.g., property evaluation). +Instead of requiring theory and operation as input, the +directive needs only a string identifying the task. The form of the +directive in such cases is as follows: + +

+

+  TASK <string task> [ignore]
+
+ +

+The supported tasks that can be accessed with this form of the TASK +directive are listed +below, with the corresponding entries for string variable <task>. + +

+ +

    +
  • python -- Execute a Python program (Section 36). +
  • +
  • rtdbprint -- Print the contents of the database. +
  • +
  • cphf -- Invoke the CPHF module. +
  • +
  • property -- Perform miscellaneous property calculations. +
  • +
  • dplot -- Execute a DPLOT run (Section 26) +
  • +
  • nbo -- Execute a NBO run (Section 37.1) +
  • +
+ +

+This directive also recognizes the keyword ignore, which allows +execution to continue after a task has failed. + +

+ +

+5.10.3 TASK Directive for the Bourne Shell +

+ +

+This form of the TASK directive is supported only on machines +with a fully UNIX-style operating system. This directive causes +specified processes to be executed using the Bourne shell. This form +of the task directive is: + +

+

+  TASK shell [(<integer-range process = 0>||all)] \
+             <string command>
+
+ +

+The keyword shell is required for this directive. It specifies +that the given command will be executed in the Bourne shell. The user +can also specify which process(es) will execute this command by +entering values for process on the directive. The default is +for only process zero to execute the command. A range of processes +may be specified, using Fortran triplet notation5.4. Alternatively, all +processes can be specified simply by entering the keyword all. +The input entered for command must form a single string, and +must consist of valid UNIX command(s). If the string includes white space, +it must be enclosed in double quotes. + +

+For example, the TASK directive to tell process zero to copy the +molecular orbitals file to a backup location /piofs/save can be input as follows: + +

+

+  task shell "cp *.movecs /piofs/save"
+
+ +

+The TASK directive to tell all processes to list the contents of +their /scratch directories is as follows: + +

+

+  task shell all "ls -l /scratch"
+
+ +

+The TASK directive to tell processes 0 to 10 to remove the +contents of the current directory is as follows: + +

+

+  task shell 0:10:1 "/bin/rm -f *"
+
+ +

+Note that NWChem's ability to quote special input characters is very limited when compared with that of the Bourne shell. To +execute all but the simplest UNIX commands, it is usually much easier +to put the shell script in a file and execute the file from within +NWChem. + +

+ +

+5.10.4 TASK Directive for QM/MM simulations +

+ +

+This is very similar to the most commonly used version of the +TASK directive described in Section 5.10.1, and +it has the following form; + +

+

+  TASK QMMM <string theory> [<string operation default energy>] [ignore]
+
+ +

+The string <theory> specifies the QM theory to be used in the +QM/MM simulation5.5. The level of +theory may be any QM method that can compute gradients but those +algorithms in NWChem that do not support analytic gradients should be +avoided (c.f., Section 4). + +

+The string <operation> is used to specify the calculation that will +be performed in the QM/MM task. The default operation is a single point energy +evaluation. The following list gives the selection of operations currently +available in the NWChem QM/MM module; + +

    +
  • energy -- single point energy evaluation +
  • +
  • optimize -- minimize the energy by variation of the molecular + structure. +
  • +
  • dynamics -- molecular dynamics using nwARGOS +
  • +
+ +

+Here are some examples of the TASK directive for QM/MM +simulations. To perform a single point energy of a QM/MM system using +any QM level of theory, the directive is very simple. As with the +general task directive, the QM/MM energy evaluation is the +default. For a DFT energy calculation the task directive input is, +

+  task qmmm dft
+
+or completely as +
+  task qmmm dft energy
+
+ +

+To do a molecular dynamics simulation of a QM/MM system using the SCF +level of theory the task directive input would be +

+  task qmmm scf dynamics
+
+ +

+The optional keyword ignore can be used to allow execution to +continue even if the task fails, as discussed above. + +

+ +

+ +
+5.11 CHARGE -- Total system charge +

+ +

+This is an optional top-level directive that allows the user to specify +the total charge of the system. The form of the directive is as follows: +

+  CHARGE <real charge default 0>
+
+ +

+The default charge5.6 is zero +if this directive is omitted. An example of a case where the +directive would be needed is for a calculation on a doubly charged +cation. In such a case, the directive is simply, +

+  charge 2
+
+ +

+If centers with fractional charge have been specified (Section +6) the net charge of the system should be adjusted to +ensure that there are an integral number of electrons. + +

+The charge may be changed between tasks, and is used by all +wavefunction types. For instance, in order to compute the first two +vertical ionization energies of $LiH$, one might optimize the geometry +of $LiH$ using a UHF SCF wavefunction, and then perform energy +calculations at the optimized geometry on $LiH^+$ and +$LiH^{2+}$ in turn. This is accomplished with the following input: +

+  geometry; Li 0 0 0; H  0 0 1.64; end
+  basis; Li library 3-21g; H library 3-21g; end
+
+  scf; uhf; singlet; end
+  task scf optimize
+
+  charge 1
+  scf; uhf; doublet; end
+  task scf
+
+  charge 2
+  scf; uhf; singlet; end
+  task scf
+
+The GEOMETRY, BASIS, and SCF directives are +described below (Sections 6, 7 and +10 respectively) but their intent should be clear. The +TASK directive is described above (Section 5.10). + +

+ +

+ +
+5.12 ECCE_PRINT -- Print information for Ecce +

+ +

+The ECCE_PRINT directive allows the user to print out a file, +usually called ecce.out, that will allow the calculation and its +results to be imported into Ecce. + +

+

+  ECCE_PRINT <string name>
+
+ +

+The entry for variable <name> is the name of the file +that will contain the Ecce import information and should include +the full path to the directory where you want that file. For example + +

+

+  ecce_print /home/user/job/ecce.out
+
+ +

+If the full path is not given and only the file name is given, the file +will be located in whatever directory the job is started in. For example, +if the line + +

+

+  ecce_print ecce.out
+
+ +

+is in the input file, the file could end up in the scratch directory if +the user is using a batch script that copies the input file to a local +scratch directory and then launches NWChem from there. If the system +then automatically removes files in the scratch space at the end of the +job, the ecce.out file will be lost. So, the best +practice is to include the full path name for the file. + +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 6. Geometries + Up: user + Previous: 4. Functionality +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node8.html b/web/doc/user.4.6/node8.html new file mode 100644 index 0000000000..ee717aa739 --- /dev/null +++ b/web/doc/user.4.6/node8.html @@ -0,0 +1,1234 @@ + + + + + +6. Geometries + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 7. Basis sets + Up: user + Previous: 5. Top-level directives +   Contents +
+
+ + +Subsections + + + +
+ +

+6. Geometries +

+ +

+The GEOMETRY directive is a compound directive that allows the +user to define the geometry to be used for a given calculation. The +directive allows the user to specify the geometry with a relatively +small amount of input, but there are a large number of optional +keywords and additional subordinate directives that the user can +specify, if needed. The directive therefore appears to be rather long +and complicated when presented in its general form, as follows: +

+  GEOMETRY [<string name default geometry>] \
+           [units <string units default angstroms>] \
+           [(angstrom_to_au || ang2au) \
+                  <real angstrom_to_au default 1.8897265>] \
+           [print [xyz] || noprint] \
+           [center || nocenter] \
+           [bqbq] \
+           [autosym [real tol default 1d-2]] \
+           [autoz || noautoz] \
+           [adjust] \
+           [(nuc || nucl || nucleus) <string nucmodel>]
+           
+    
+    [SYMMETRY [group] <string group_name> [print] \
+           [tol <real tol default 1d-2>]]
+
+
+
+    <string tag> <real x y z> [vx vy vz] [charge <real charge>] \
+           [mass <real mass>] \
+           [(nuc || nucl || nucleus) <string nucmodel>]
+    ... ]
+
+    [ZMATRIX || ZMT || ZMAT
+         <string tagn> <list_of_zmatrix_variables>
+         ... 
+
+         [VARIABLES
+              <string symbol> <real value>
+              ... ]
+ 
+         [CONSTANTS
+              <string symbol> <real value>
+              ... ]
+
+     (END || ZEND)]
+
+         [ZCOORD
+              CVR_SCALING <real value>
+              BOND    <integer i> <integer j> \
+                      [<real value>] [<string name>] [constant]
+              ANGLE   <integer i> <integer j> \
+                      [<real value>] [<string name>] [constant]
+              TORSION <integer i> <integer j> <integer k> <integer l> \
+                      [<real value>] [<string name>] [constant]
+          END]
+          
+          [SYSTEM surface  <molecule polymer surface crystal default molecule>
+               lat_a <real lat_a> lat_b <real lat_b> lat_c <real lat_c>
+               alpha <real alpha> beta <real beta> gamma <real gamma>
+          END]
+ 
+   END
+
+ +

+The three main parts of the GEOMETRY directive +are: + +

+ +

    +
  • keywords on the first line of the directive (to specify such optional +input as the geometry name, input units, and print level for the output) +
  • +
  • symmetry information +
  • +
  • Cartesian coordinates or Z-matrix input to specify the locations +of the atoms and centers +
  • +
  • lattice parameters (needed only for periodic systems) +
  • +
+ +

+The following sections present the input for this compound directive in +detail, describing the options available and the usages of the various +keywords in each of the three main parts. + +

+ +

+ +
+6.1 Keywords on the GEOMETRY directive +

+ +

+This section presents the options that can be specified using the keywords +and optional input on the main line of the GEOMETRY directive. +As described above, the first line of the directive has the general form, +

+  GEOMETRY [<string name default geometry>] \
+           [units <string units default angstroms>] \
+           [bqbq] \
+           [print [xyz] || noprint] \
+           [center || nocenter] \
+           [autosym [real tol default 1d-2]] \
+           [autoz || noautoz] \
+           [adjust] \
+           [(nuc || nucl || nucleus) <string nucmodel>]
+
+ +

+All of the keywords and input on this line are optional. The following +list describes all options and their defaults. + +

+ +

    +
  • <name> - user-supplied name for the geometry; the + default name is geometry, and all NWChem modules look for a + geometry with this name. However, multiple geometries may + be specified by using a different name for each. Subsequently, + the user can direct a module to a named geometry by + using the SET directive (see + the example in Section 5.7) to associate the default + name of geometry with the alternate name. + +

    +

  • +
  • units - keyword specifying that a value will be entered + by the user for the string variable <units>. The default + units for the geometry input are Angstrøms (Note: atomic units or + Bohr are used within the code, regardless of the option specified + for the input units. The default conversion factor used in the code + to convert from Angstrøms to Bohr is $1.8897265$ which may be + overidden with the angstrom_to_au keyword described below.). The code + recognizes the following possible values for the string variable + <units>: + +
      +
    • angstroms or an -- Angstroms (Å), the default + (converts to A.U. using the Åto A.U. conversion factor) +
    • +
    • au or atomic or bohr -- Atomic units (A.U.) +
    • +
    • nm or nanometers -- nanometers (converts to + A.U. using a conversion factor computed as $10.0$ times the + Å to A.U. conversion factor) +
    • +
    • pm or picometers -- picometers (converts to + A.U. using a conversion factor computed as $0.01$ times the + Å to A.U. conversion factor) +
    • +
    + +

    +

  • +
  • angstrom_to_au - may also be specified as + ang2au. This enables the user to modify the conversion + factors used to convert between Å and A.U.. The default value is + $1.8897265$. + +

    +

  • +
  • bqbq - keyword to specify the treatment of interactions + between dummy centers. The default in NWChem is to ignore such + interactions when computing energies or energy derivatives. These + interactions will be included if the keyword bqbq is + specified. + +

    +

  • +
  • print and noprint - complementary keyword pair to + enable or disable printing of the geometry. The default is to print + the output associated with the geometry. In addition, the keyword + print may be qualified by the additional keyword xyz, + which specifies that the coordinates should be printed in the XYZ + format of molecular graphics program XMol. + +

    +

  • +
  • center and nocenter - complementary keyword pair + to enable or disable translation of the center of nuclear charge to + the origin. With the origin at this position, all three components + of the nuclear dipole are zero. The default is to move the center + of nuclear charge to the origin. + +

    +

  • +
  • autosym - keyword to specify that the symmetry of the + geometric system should be automatically determined. This option is on + by default. Only groups up to and including $O_{h}$ are recognized. + Occasionally NWChem will be unable to determine the full symmetry + of a molecular system, but will find a proper subgroup of the full + symmetry. The default tolerance is set to work for most cases, but may + need to be decreased to find the full symmetry of a geometry. Note that + autosym will be turned off if the SYMMETRY group input is given + (See section 6.2). + +

    +

  • +
  • noautoz - by default NWChem (release 3.3 and later) + will generate redundant internal coordinates from user input + Cartesian coordinates. The internal coordinates will be used in + geometry optimizations. The noautoz keyword disables use of + internal coordinates. The autoz keyword is provided only for + backward compatibility. See Section 6.5 for a more + detailed description of redundant internal coordinates, including + how to force the definition of specific internal variables in + combination with automatically generated variables. + +

    +

  • +
  • adjust - This indicates that an existing geometry is + to be adjusted. Only new input for the redundant internal + coordinates may be provided (Section 6.5). It is + not possible to define new centers or to modify the point + group using this keyword. See Section 6.5 for + an example of its usage. + +

    +

  • +
  • nucleus - keyword to specify the default model for the nuclear + charge distribution. The following values are recognized: + +
      +
    • point or pt -- point nuclear charge distribution. This + is the default. +
    • +
    • finite or fi -- finite nuclear charge distribution + with a Gaussian shape. The RMS radius of the Gaussian is determined from + the nuclear mass number $A$ by the expression + +$r_{\rm RMS} = 0.836*A^{1/3}+0.57$ fm. +
    • +
    +NOTE: If you specify a finite nuclear size, you should ensure that the basis +set you use is contracted for a finite nuclear size. See the Section +7 for more information. + +

    +

  • +
+ +

+The following examples illustrate some of the various options that the +user can specify on the first input line of the GEOMETRY +directive, using the keywords and input options described above. + +

+The following directives all specify the same geometry for $H_2$ (a +bond length of 0.732556 Å): +

+  geometry                           geometry units nm    
+    h 0 0 0                            h 0 0 0            
+    h 0 0 0.732556                     h 0 0 0.0732556    
+  end                                end                  
+
+  geometry units pm                  geometry units atomic 
+    h 0 0 0                            h 0 0 0             
+    h 0 0 73.2556                      h 0 0 1.3843305     
+  end                                end
+
+ +

+ +

+ +
+6.2 SYMMETRY -- Symmetry Group Input +

+ +

+The SYMMETRY directive is used (optionally) within the compound +GEOMETRY directive to specify the point group for the molecular +geometry. +The general form of the directive, as described above within the general +form of the GEOMETRY directive, is as follows: +

+    [SYMMETRY [group] <string group_name> [print] \
+           [tol <real tol default 1d-2>]]
+
+The keyword group is optional, and can be omitted without +affecting how the input for this directive is processed6.1. However, if the SYMMETRY directive is +used, a group name must be specified by supplying an entry for the +string variable <group_name>. The group name should be +specified as the standard Schöflies symbol. Examples of expected +input for the variable group_name include such entries as: + +

+ +

    +
  • c2v - for molecular symmetry $C_{2{\it v}}$ +
  • +
  • d2h - for molecular symmetry $D_{2h}$ +
  • +
  • Td - for molecular symmetry $T_d$ +
  • +
  • d6h - for molecular symmetry $D_{6h}$ +
  • +
+ +

+The SYMMETRY directive is optional. The default is no symmetry +(i.e., $C_1$ point group). Automatic detection of point +group symmetry is available through the use of autosym in the +GEOMETRY directive main line (discussed in Section 6.1). +Note: if the SYMMETRY directive is present the autosym +keyword is ignored. + +

+If only symmetry-unique atoms are specified, the others will be +generated through the action of the point group operators, but the +user if free to specify all atoms. The user must know the symmetry of +the molecule being modeled, and be able to specify the coordinates of +the atoms in a suitable orientation relative to the rotation axes and +planes of symmetry. Appendix C lists a number of +examples of the +GEOMETRY directive input for specific molecules having symmetry +patterns recognized by NWChem. The exact point group symmetry will be +forced upon the molecule, and atoms within $10^{-3}$ A.U. of a +symmetry element (e.g., a mirror plane or rotation axis) will be +forced onto that element. Thus, it is not necessary to specify to a +high precision those coordinates that are determined solely by +symmetry. + +

+The keyword print gives information concerning the point group +generation, including the group generators, a character table, the +mapping of centers, and the group operations. + +

+The keyword tol relates to the accuracy with which the symmetry-unique +atoms should be specified. When the atoms are generated, those that are +within the tolerance, tol, are considered the same. + +

+ +

+ +
+6.3 Cartesian coordinate input +

+ +

+The default in NWChem is to specify the geometry information entirely +in Cartesian coordinates, and examples of this format have +appeared above (e.g, Section 2.3). Each center +(usually an atom) is identified on a line of the following form: +

+    <string tag> <real x y z> [vx vy vz] \
+        [charge <real charge>] [mass <real mass>] \
+        [(nuc || nucl || nucleus) <string nucmodel>]
+
+ +

+The string <tag> is the name of the atom or center, and its case +(upper or lower) is important. The tag is limited to 16 characters +and is interpreted as follows: + +

    +
  • If the entry for <tag> begins with either the symbol or + name of an element (regardless of case), then the center is treated + as an atom of that type. The default charge is the atomic number + (adjusted for the presence of ECPs by the ECP NELEC directive + ; see Section 8). Additional characters can be added to + the string, to distinguish between atoms of the same element (For + example, the tags oxygen, O, o34, + olonepair, and Oxygen-ether, will all be interpreted + as oxygen atoms.). +
  • +
  • If the entry for <tag> begins with the characters + bq or x (regardless of case), then the center is + treated as a dummy center with a default zero charge (Note: a tag + beginning with the characters xe will be interpreted as a + xenon atom rather than as a dummy center.). Dummy centers may + optionally have basis functions or non-zero charge. See Section + B.2 for a sample input using dummy centers with + charges. +
  • +
+ +

+It is important to be aware of the following points regarding +the definitions and usage of the values specified for the variable +<tag> to describe the centers in a system: + +

    +
  • If the tag begins with characters that cannot be matched against + an atom, and those characters are not BQ or X, then a + fatal error is generated. +
  • +
  • The tag of a center is used in the BASIS (Section + 7) and ECP (Section 8) directives + to associate functions with centers. +
  • +
  • All centers with the same tag will have the same basis + functions. +
  • +
  • When using automatic symmetry detection, + only centers with the same tag will be candidates for testing for + symmetry equivalence. +
  • +
  • The user-specified charges (of all centers, atomic and dummy) + and any net total charge of the system (Section 5.11) + are used to determine the number of electrons in the system. +
  • +
+ +

+The Cartesian coordinates of the atom in the molecule are specified as +real numbers supplied for the variables x, y, and +z following the characters entered for the tag. The values +supplied for the coordinates must be in the units specified by the +value of the variable <units> on the first line of the +GEOMETRY directive input. + +

+After the Cartesian coordinate input, optional velocities may be +entered as real numbers for the variables vx, vy, and +vz. The velocities should be given in atomic units and are +used in QMD and PSPW calculations. + +

+The Cartesian coordinate input line also contains the optional keywords +charge, mass and nucleus, which allow the user to +specify the charge of the atom (or center) and its mass (in atomic mass +units), and the nuclear model. The default charge for an atom is +its atomic number, adjusted for the presence of ECPs (see Section +8). In order to specify a different value for the charge on a +particular atom, the user must enter the keyword charge, followed by +the desired value for the variable <charge>. + +

+The default mass for an atom is taken to be the mass of its most abundant +naturally occurring isotope or of the isotope with the longest half-life. +To model some other isotope of the element, its mass must be defined +explicitly by specifying the keyword mass, followed by the value (in +atomic mass units) for the variable <mass>. + +

+The default nuclear model is a point nucleus. The keyword nucleus (or +nucl or nuc) followed by the model name <nucmodel> +overrides this default. Allowed values of <nucmodel> are point or +pt and finite or fi. The finite option is +a nuclear model with a Gaussian shape. The RMS radius of the Gaussian is +determined by the atomic mass number via the formula +$r_{\rm RMS} = 0.836*A^{1/3}+0.57$ fm. The mass number $A$ is derived from the variable +<mass>. + +

+The geometry of the system can be specified entirely in Cartesian +coordinates by supplying a <tag> line of the type described +above for each atom or center. The user has the option, however, of +supplying the geometry of some or all of the atoms or centers using a +Z-matrix description. In such a case, the user supplies the input tag +line described above for any centers to be described by Cartesian +coordinates, and then specifies the remainder of the system using the +optional ZMATRIX directive described below in Section +6.4. + +

+ +

+ +
+6.4 ZMATRIX -- Z-matrix input +

+ +

+The ZMATRIX directive is an optional directive that can be used +within the compound GEOMETRY directive to specify the structure +of the system with a Z-matrix, which can include both internal and +Cartesian coordinates. The ZMATRIX directive is itself a +compound directive that can include the VARIABLES and +CONSTANTS directives, depending on the options selected. The +general form of the compound ZMATRIX directive is as follows: +

+    [ZMATRIX || ZMT || ZMAT
+         <string tagn> <list_of_zmatrix_variables> 
+         ... 
+
+         [VARIABLES
+              <string symbol> <real value>
+              ... ]
+ 
+         [CONSTANTS
+              <string symbol> <real value>
+              ... ]
+
+    (END || ZEND)]
+
+ +

+The input module recognizes three possible spellings of this directive +name. It can be invoked with ZMATRIX, ZMT, or +ZMAT. The user can specify the molecular structure using +either Cartesian coordinates or +internal coordinates (bond lengths, bond angles and dihedral angles. +The Z-matrix input for a center defines connectivity, bond length, and +bond or torsion angles. Cartesian coordinate input for a center +consists of three real numbers defining the x,y,z coordinates of the +atom. + +

+Within the Z-matrix input, bond lengths and Cartesian coordinates must +be input in the user-specified units, as defined by the value specified +for the variable <units> on the first line of the GEOMETRY +directive. All angles are specified in +degrees. + +

+The individual centers (denoted as i, j, and k +below) used to specify Z-matrix connectivity may be designated either +as integers (identifying each center by number) or as tags (If + tags are used, the tag must be unique for each center.) The use of +``dummy'' atoms is possible, by using X or BQ at the +start of the tag. + +

+Bond lengths, bond angles and dihedral angles (denoted below as R, alpha, and beta, respectively) may be specified +either as numerical values or as symbolic strings that must be +subsequently defined using the VARIABLES or CONSTANTS +directives. The numerical values of the symbolic strings labeled +VARIABLES may be subject to changes during a geometry +optimization say, while the numerical values of the symbolic strings +labeled CONSTANTS will stay frozen to the value given in the +input. The same symbolic string can be used more than once, and +any mixture of numeric data and symbols is acceptable. Bond angles +($\alpha$) must be in the range +$0 < \alpha < 180$. + +

+The Z-matrix input is specified sequentially as follows: +

+   tag1
+   tag2 i R
+   tag3 i R j alpha
+   tag4 i R j alpha k beta [orient]
+   ...
+
+ +

+The structure of this input is described in more detail below. In the +following discussion, the tag or number of the center being currently +defined is labeled as C (``C'' for current). The values +entered for these tags for centers defined in the Z-matrix input are +interpreted in the same way as the <tag> entries for Cartesian +coordinates described above (see Section 6.3). Figures +6.1, 6.2 and 6.3 display the +relationships between the input data and the definitions of centers +and angles. + +

+ +

+ + + +
Figure 6.1: +Relationships between the centers, bond angle +and dihedral angle in Z-matrix input.
\begin{figure}\centering\psfig{figure=zmat1.eps,angle=270,width=6in}\end{figure}
+
+ +

+ +

+ + + +
Figure 6.2: +Relationships between the centers and two + bond angles in Z-matrix input with optional parameter specified as $+1$.
\begin{figure}\centering\psfig{figure=zmat2.eps,angle=270,width=6in}\end{figure}
+
+ +

+ +

+ + + +
Figure 6.3: +Relationships between the centers and two + bond angles in Z-matrix input with optional parameter specified as $-1$.
\begin{figure}\centering\psfig{figure=zmat3.eps,angle=270,width=6in}\end{figure}
+
+ +

+The Z-matrix input shown above is interpreted as follows: + +

    +
  1. tag1 + +

    +Only a tag is required for the first center. + +

    +

  2. +
  3. tag2 i R + +

    +The second center requires specification of its tag and the + bond length ($R_{Ci}$) distance to a previous atom, which is identified by + i. + +

    +

  4. +
  5. tag3 i R j alpha + +

    +The third center requires specification of its tag, its bond length distance + ($R_{Ci}$) to one of the two previous centers (identified by the + value of i), and the bond angle +$\alpha = \widehat{Cij}$. + +

    +

  6. +
  7. tag i R j alpha k beta [<integer orient default 0>] + +

    +The fourth, and all subsequent centers, require the tag, a bond + length ($R_{Ci}$) relative to center i, the bond angle with + centers i and j ( +$\alpha = \widehat{Cij}$), and either + +

      +
    1. the dihedral angle ($\beta$) between the current center and centers + i, j, and k (Figure 6.1), or +
    2. +
    3. a second bond angle +$\beta = \widehat{Cik}$ and an orientation to + the plane containing the other three centers (Figure + 6.2 and 6.3). + +
    4. +
    + +

    +By default, $\beta$ is interpreted as a dihedral angle (see Figure + 6.1), but if the optional final parameter (<orient>) is + specified with the value $\pm 1$, then $\beta$ is interpreted as + the angle $\widehat{Cik}$. The sign of <orient> specifies the + direction of the bond angle relative to the plane containing the + three reference atoms. If <orient> is $+1$, then the new center + (C) is above the plane (Figure 6.2); and if + <orient> is $-1$, then C is below the plane (Figure + 6.3). +

  8. +
+ +

+Following the Z-matrix center definitions described above, the user can + specify initial values for any symbolic variables used to define the +Z-matrix tags. This is done using the optional VARIABLES directive, +which has the general form: + +

+

+  VARIABLES
+    <string symbol>  <real value>
+    ...
+
+Each line contains the name of a variable followed by its value. +Optionally, an equals sign (=) can be included between the +symbol and its value, for clarity in reading the input file. + +

+Following the VARIABLES directive, the CONSTANTS +directive may be used to define any Z-matrix symbolic variables that remain +unchanged during geometry optimizations. +To freeze the Cartesian coordinates of an atom, refer +to Section 6.6. The general form of this directive +is as follows: +

+  CONSTANTS
+    <string symbol>  <real value>
+    ...
+
+Each line contains the name of a variable followed by its value. As +with the VARIABLES directive, an equals sign (=) can be +included between the symbol and its value. + +

+The end of the Z-matrix input using the compound ZMATRIX +directive is signaled by a line containing either END or +ZEND, following all input for the directive itself and its +associated optional directives. + +

+A simple example is presented for water. All Z-matrix parameters are +specified numerically, and symbolic tags are used to specify +connectivity information. This requires that all tags be unique, and +therefore different tags are used for the two hydrogen atoms, which may +or may not be identical. +

+  geometry
+    zmatrix 
+      O
+      H1 O 0.95
+      H2 O 0.95 H1 108.0
+    end
+  end
+
+ +

+The following example illustrates the Z-matrix input for the molecule +$CH_3CF_3$. This input uses the numbers of centers to specify +the connectivity information (i, j, and k), and +uses symbolic variables for the Z-matrix parameters R, alpha, and beta, which are defined in the inputs for the +VARIABLES and +CONSTANTS directives. + +

+

+geometry 
+ zmatrix
+   C 
+   C 1 CC 
+   H 1 CH1 2 HCH1 
+   H 1 CH2 2 HCH2 3  TOR1  0 
+   H 1 CH3 2 HCH3 3 -TOR2  0 
+   F 2 CF1 1 CCF1 3  TOR3  0 
+   F 2 CF2 1 CCF2 6  FCH1  1 
+   F 2 CF3 1 CCF3 6  FCH2 -1
+   variables
+     CC    1.4888 
+     CH1   1.0790 
+     CH2   1.0789  
+     CH3   1.0789  
+     CF1   1.3667 
+     CF2   1.3669 
+     CF3   1.3669
+   constants
+     HCH1  104.28 
+     HCH2  104.74 
+     HCH3  104.7 
+     CCF1  112.0713 
+     CCF2  112.0341 
+     CCF3  112.0340 
+     TOR1  109.3996 
+     TOR2  109.3997 
+     TOR3  180.0000 
+     FCH1  106.7846 
+     FCH2  106.7842
+ end   
+end
+
+ +

+The input for any centers specified with Cartesian coordinates must +be specified using the format of the <tag> lines described +in Section 6.3 above. However, in +order to correctly specify these Cartesian coordinates +within the Z-matrix, the user must +understand the orientation of centers specified using +internal coordinates. These are arranged as follows: + +

    +
  • The first center is placed at the origin. +
  • +
  • The second center is placed along the positive z-axis. +
  • +
  • The third center is placed in the z-x plane. +
  • +
+ +

+ +

+ +
+6.5 ZCOORD -- Forcing internal coordinates +

+ +

+By default redundant internal coordinates are generated for use in +geometry optimizations. Connectivity is inferred by comparing +inter-atomic distances with the sum of the van der Waals radii of the +two atoms involved in a possible bond, times a scaling factor. The +scaling factor is an input parameter of ZCOORD which maybe +changed from its default value of 1.3. Under some circumstances +(unusual bonding, bond dissociation, ...) it will be necessary to +augment the automatically generated list of internal coordinates to +force some specific internal coordinates to be included in among the +internal coordinates. This is accomplished by including the optional +directive ZCOORD within the geometry directive. The general +form of the ZCOORD directive is as follows: +

+  ZCOORD
+     CVR_SCALING <real value>
+     BOND    <integer i> <integer j> \
+             [<real value>] [<string name>] [constant]
+     ANGLE   <integer i> <integer j> <integer k> \
+             [<real value>] [<string name>] [constant]
+     TORSION <integer i> <integer j> <integer k> <integer l> \
+             [<real value>] [<string name>] [constant]
+  END
+
+ +

+The centers i, j, k and l must be +specified using the numbers of the centers, as supplied in the input +for the Cartesian coordinates. The ZCOORD input parameters are +defined as follows: + +

+ +

    +
  • cvr_scaling -- scaling factor applied to van der Waals radii. +
  • +
  • bond -- a bond between the two centers. +
  • +
  • angle -- a bond angle $\widehat{ijk}$. +
  • +
  • torsion -- a torsion (or dihedral) angle. The + angle between the planes i-j-k and j-k-l. +
  • +
+ +

+A value may be specified for a user-defined internal coordinate, in +which case it is forced upon the input Cartesian coordinates while +attempting to make only small changes in the other internal +coordinates. If no value is provided the value implicit in the input +coordinates is kept. If the keyword constant is specified, then +that internal variable is not modified during a geometry optimization +with DRIVER (Section 20). Each internal coordinate may +also be named either for easy identification in the output, or +for the application of constraints (Section 6.6). + +

+If the keyword adjust is specified on the main GEOMETRY +directive, only ZCOORD data may be specified and it can +be used to change the user-defined internal coordinates, including +adding/removing constraints and changing their values. + +

+ +

+ +
+6.6 Applying constraints in geometry optimizations +

+ +

+Internal coordinates specified as constant in a ZCOORD directive +or in the constants section of a ZMATRIX directive, will be +frozen at their initial values if a geometry optimization is +performed with DRIVER (Section 20). + +

+If internal coordinates have the same name (give or take +an optional sign for torsions) then they are forced to have +the same value. This may be used to force bonds or angles to +be equal even if they are not related by symmetry. + +

+When atoms have been specified by their Cartesian coordinates, and internal coordinates are not being used, it is possible to freeze +the cartesian position of selected atoms. This is useful for such +purposes as optimizing a molecule absorbed on the surface of a cluster +with fixed geometry. Only the gradients associated with the active +atoms are computed. This can result in a big computational saving, +since gradients associated with frozen atoms are forced to zero (Note, +however, that this destroys the translational and rotational +invariance of the gradient. This is not yet fully accommodated by the +STEPPER geometry optimization software, and can sometimes result in +slower convergence of the optimization. The DRIVER optimization +package does not suffer from this problem). + +

+The SET directive (Section 5.7) is used to freeze +atoms, by specifying a directive of the form: +

+  set geometry:actlist <integer list_of_center_numbers>
+
+This defines only the centers in the list as active. All other +centers will have zero force assigned to them, and will remain frozen +at their starting coordinates during a geometry optimization. + +

+For example, the following directive specifies that atoms numbered 1, +5, 6, 7, 8, and 15 are active and all other atoms are frozen: +

+  set geometry:actlist 1 5:8 15
+
+or equivalently, +
+  set geometry:actlist 1 5 6 7 8 15
+
+ +

+If this option is not specified by entering a SET directive, +the default behavior in the code is to treat all atoms as active. To +revert to this default behavior after the option to define frozen +atoms has been invoked, the UNSET directive must be used (since +the database is persistent, see Section 3.2). The form +of the UNSET directive is as follows: +

+  unset geometry:actlist
+
+ +

+ +

+ +
+6.7 SYSTEM -- Lattice parameters for periodic systems +

+ +

+This keyword is needed only for for 1-, 2-, and 3-dimensional +periodic systems. + +

+The system keyword can assume the following values + +

+ +

    +
  • polymer -- system with 1-d translational symmetry. +
  • +
  • surface -- system with 2-d translational symmetry. +
  • +
  • crystal -- system with 3-d translational symmetry. +
  • +
  • molecule -- no translational symmetry (this is the default) +
  • +
+ +

+When the system possess translational symmetry, fractional coordinates +are used in the directions where translational symmetry exists. +This means that for crystals $x$, $y$ and $z$ are fractional, for +surfaces $x$ and $y$ are fractional, whereas for polymers only $z$ is +fractional. +For example, in the following H$_2$O layer input (a 2-d periodic +system), $x$ and $y$ coordinates are fractional, whereas $z$ +is expressed in Å. +

+geometry units angstrom
+  O     0.353553    0.353553         2.100000000
+  H     0.263094    0.353553         2.663590000
+  H     0.444007    0.353553         2.663590000
+
+ +

+Since no space group symmetry is available yet other than $P1$, input +of cell parameters is relative to the primitive cell. For example, +this is the input required for the cubic face-centered type structure +of bulk MgO. + +

+

+  system crystal
+   lat_a 2.97692 lat_b 2.97692 lat_c 2.97692 
+   alpha 60.00 beta 60.00 gamma 60.00
+  end
+
+ +

+ +

+


+ + +next + +up + +previous + +contents +
+ Next: 7. Basis sets + Up: user + Previous: 5. Top-level directives +   Contents + +
+Edoardo Apra +2004-05-25 +
+ + diff --git a/web/doc/user.4.6/node9.html b/web/doc/user.4.6/node9.html new file mode 100644 index 0000000000..36a05fa259 --- /dev/null +++ b/web/doc/user.4.6/node9.html @@ -0,0 +1,489 @@ + + + + + +7. Basis sets + + + + + + + + + + + + + + + + + + + + +next + +up + +previous + +contents +
+ Next: 8. Effective Core Potentials + Up: user + Previous: 6. Geometries +   Contents +
+
+ + +Subsections + + + +
+ +

+7. Basis sets +

+ + +

+NWChem currently supports basis sets consisting of generally +contracted7.1 Cartesian Gaussian functions up to a maximum angular + momentum of six ($h$ functions), and also $sp$ (or L) +functions7.2 . The BASIS directive is used to +define these, and also to specify use of an effective core potential +(ECP) that is associated with a basis set; see Section 8. + +

+The basis functions to be used for a given calculation can be drawn +from a standard set in the EMSL basis set library that is included in +the release of NWChem (See Appendix A for a list +of the standard basis sets currently supplied with the release of the +code). Alternatively, the user can specify particular functions +explicitly in the input, to define a particular basis set. + +

+The general form of the BASIS directive is as follows: + +

+

+  BASIS [<string name default "ao basis">] \
+        [(spherical || cartesian) default cartesian] \
+        [(segment || nosegment) default segment] \
+        [(print || noprint) default print]
+        [rel]
+
+     <string tag> library [<string tag_in_lib>] \
+                  <string standard_set> [file <filename>] \
+                  [except <string tag list>] [rel]
+
+        ...
+
+     <string tag> <string shell_type> [rel]
+        <real exponent> <real list_of_coefficients>
+        ...
+     
+  END
+
+ +

+Examining the keywords on the first line of the BASIS directive: + +

+ +

    +
  • name + +

    +By default, the basis set is stored in the database with the name + "ao basis". Another name may be specified in the BASIS + directive, thus, multiple basis sets may be stored simultaneously in the + database. Also, the DFT (Section 11) + and RI-MP2 (Section 16) modules and the + Dyall-modified-Dirac relativistic method (Section 9.2) + require multiple basis sets with specific names. + +

    +The user can associate the "ao basis" with another named basis +using the SET directive (see Section 5.7). + +

    +

  • +
  • SPHERICAL or CARTESIAN + +

    +The keywords spherical and cartesian offer the option of +using either spherical-harmonic (5 d, 7 f, 9 g, ...) or Cartesian +(6 d, 10 f, 15 g, ...) angular functions. The default is +Cartesian. + +

    +Note that the correlation-consistent basis sets were designed using +spherical harmonics and to use these, the spherical keyword +should be present in the BASIS directive. The use of spherical +functions also helps eliminate problems with linear dependence. + +

    +

  • +
  • SEGMENT or NOSEGMENT + +

    +By default, NWChem forces all basis sets to be segmented, +even if they are input with general contractions or $L$ or sp +shells. This is because the current derivative integral program cannot +handle general contractions. If a calculation is +computing energies only, a +performance gain can result from exploiting generally contracted basis +sets, in which case NOSEGMENT should be specified. + +

    +

  • +
  • PRINT or NOPRINT + +

    +The default is for the input module to print all basis sets encountered. +Specifying the keyword noprint allows the user to suppress this output. + +

    +

  • +
  • REL + +

    +This keyword marks the entire basis as a relativistic basis for the purposes +of the Dyall-modified-Dirac relativistic integral code. The marking of the +basis set is necessary for the code to make the proper association between +the relativistic shells in the ao basis and the shells in the large and/or +small component basis. This is only necessary for basis sets which are to be +used as the ao basis. The user is referred to Section 9.2 +for more details. + +

    +

  • +
+ +

+Basis sets are associated with centers by using the tag of a center in +a geometry that has either been input by the user (Section +6) or is available elsewhere. Each atom or center with +the same tag will have the same basis set. All atoms must have +basis functions assigned to them -- only dummy centers (X or Bq) may have no +basis functions. To facilitate the specification of the geometry and +the basis set for any chemical system, the matching process of a basis +set tag to a geometry tag first looks for an exact match. If no match +is found, NWChem will attempt to match, ignoring case, the name or +symbol of the element. E.g., all hydrogen atoms in a system could be +labeled ``H1'', ``H2'', ..., in the geometry but only +one basis set specification for ``H'' or ``hydrogen'' is necessary. +If desired, a special basis may be added to one or more centers (e.g., +``H1'') by providing a basis for that tag. +If the matching mechanism fails then NWChem stops with an appropriate +error message. + +

+A special set of tags, ``*'' and tags ending with a ``*'' (E.g. ``H*'') +can be used in combination with the keyword library (see section +below). These tags facilitate the definition of a certain type of basis +set of all atoms, or a group of atoms, in a geometry using only a single +or very few basis set entries. The ``*'' tag will not place basis sets +on dummy atoms, Bq* can be used for that if necessary. + +

+Examined next is how to reference standard basis sets in the basis set +library, and finally, how to define a basis set using exponents and +coefficients. + +

+ +

+7.1 Basis set library +

+ +

+The keyword library associated with each specific tag +entry specifies that the calculation will use the standard basis set +in NWChem for that center. The variable <standard_set> is the +name that identifies the functions in the library. The names of +standard basis sets are not case sensitive. See Appendix +A for a complete list of the basis sets in the +NWChem library and their specifications. + +

+The general form of the input line requesting basis sets from the NWChem +basis set library is: +

+     <string tag> library [<string tag_in_lib>] \
+                  <string standard set> [file < filename> \
+                  [except <string tag list>] [rel]
+        ...
+
+ +

+For example, the NWChem basis set library contains the Dunning cc-pvdz +basis set. These may be used as follows +

+  basis
+    oxygen library cc-pvdz
+    hydrogen library cc-pvdz
+  end
+
+ +

+A default path of the NWChem basis set libraries is provided on installation +of the code, but a different path can be defined by specifying the keyword +file, and one can explicitly name the file to be accessed +for the basis functions. For example, +

+  basis
+    o  library 3-21g file /usr/d3g681/nwchem/library
+    si library 6-31g file /usr/d3g681/nwchem/libraries/
+  end
+
+This directive tells the code to use the basis set 3-21g in +the file /usr/d3g681/nwchem/library for atom o and +to use the basis set 6-31g in the directory +/usr/d3g681/nwchem/libraries/ for atom si, rather +than look for them in the default libraries. When a directory is defined +the code will search for the basis set in a file with the name 6-31g. + +

+The ``*'' tag can be used to efficiently define basis set input directives +for large numbers of atoms. An example is: +

+  basis
+    *  library 3-21g
+  end
+
+This directive tells the code to assign the basis sets 3-21g to +all the atom tags defined in the geometry. If one wants to place a +different basis set on one of the atoms defined in the geometry, the +following directive can be used: +
+  basis
+    *  library 3-21g except H
+  end
+
+This directive tells the code to assign the basis sets 3-21g to +all the atoms in the geometry, except the hydrogen atoms. Remember that +the user will have to explicitly define the hydrogen basis set in this +directive! One may also define tags that end with a ``*'': +
+  basis
+    oxy*  library 3-21g 
+  end
+
+This directive tells the code to assign the basis sets 3-21g to +all atom tags in the geometry that start with ``oxy''. + +

+If standard basis sets are to be placed upon a dummy center, the +variable <tag_in_lib> must also be entered on this line, to +identify the correct atom type to use from the basis function library +(see the ghost atom example in Section 5.7 and below). For +example: To specify the cc-pvdz basis for a calculation on the water +monomer in the dimer basis, where the dummy oxygen and dummy hydrogen +centers have been identified as bqo and bqh +respectively, the BASIS directive is as follows: + +

+

+  basis
+    o   library cc-pvdz
+    h   library cc-pvdz
+    bqo library o cc-pvdz
+    bqh library h cc-pvdz
+  end
+
+A special dummy center tag is bq*, which will assign the same basis +set to all bq centers in the geometry. Just as with the ``*'' tag, the +except list can be used to assign basis sets to unique dummy centers. + +

+The library basis sets can also be marked as relativistic by adding the +rel keyword to the tag line. See Section 9.2 for +more details. The correlation consistent basis sets have been contracted for +relativistic effects and are included in the standard library. + +

+There are also contractions in the standard library for both a point nucleus +and a finite nucleus of Gaussian shape. These are usually distinguished by +the suffixex _pt and _fi. It is the user's responsibility to +ensure that the contraction matches the nuclear type specified in the +geometry object. The specification of a finite nucleus basis set does NOT +automatically set the nuclear type for that atom to be finite. See +Section 6 for information. + +

+ +

+7.2 Explicit basis set definition +

+ +

+If the basis sets in the library or available in other external files +are not suitable for a given calculation, +the basis set may be explicitly defined. +A generally contracted Gaussian basis function is associated with a +center using an input line of the following form: +

+     <string tag> <string shell_type> [rel]
+        <real exponent> <real list_of_coefficients>
+        ...
+
+ +

+The variable <shell_type> identifies the angular momentum of the +shell, $s$, $p$, $d$, .... NWChem is configured to handle up to $h$ +shells. The keyword rel marks the shell as relativistic -- see +Section 9.2 for more details. Subsequent lines define +the primitive function exponents and contraction coefficients. General +contractions are specified by including multiple columns of coefficients. + +

+The following example defines basis sets for the water molecule: +

+  basis spherical nosegment
+    oxygen s
+      11720.0000    0.000710  -0.000160
+       1759.0000    0.005470  -0.001263
+        400.8000    0.027837  -0.006267
+        113.7000    0.104800  -0.025716
+         37.0300    0.283062  -0.070924
+         13.2700    0.448719  -0.165411
+          5.0250    0.270952  -0.116955
+          1.0130    0.015458   0.557368
+          0.3023   -0.002585   0.572759
+    oxygen s                
+          0.3023    1.000000
+    oxygen p                
+         17.7000    0.043018
+          3.8540    0.228913
+          1.0460    0.508728
+          0.2753    0.460531
+    oxygen p                
+          0.2753    1.000000
+    oxygen d
+          1.1850    1.000000
+    hydrogen s
+         13.0100    0.019685
+          1.9620    0.137977
+          0.4446    0.478148
+          0.1220    0.501240
+    hydrogen s  
+          0.1220    1.000000
+    hydrogen p  
+          0.7270    1.000000
+    oxygen s
+          0.01      1.0
+    hydrogen s
+          0.02974   1.0
+    hydrogen p
+          0.141      1.0
+  end
+
+ +

+ +

+7.3 Combinations of library and explicit basis set input +

+The user can use a mixture of library basis and explicit basis set +input to define the basis sets used on the various atoms. + +

+For example, the following BASIS directive augments the Dunning +cc-pvdz basis set for the water molecule with a diffuse s-shell on +oxygen and adds the aug-cc-pVDZ diffuse functions onto the hydrogen. +

+  basis spherical nosegment
+    oxygen library cc-pvdz
+    hydrogen library cc-pvdz
+    oxygen s
+      0.01 1.0
+    hydrogen library "aug-cc-pVDZ Diffuse"
+  end
+
+ +

+The resulting basis set defined is identical to the one defined above +in the explicit basis set input. + +

+


+ + +next + +up + +previous + +contents +
+ Next: 8. Effective Core Potentials + Up: user + Previous: 6. Geometries +   Contents + +
+Edoardo Apra +2004-05-25 +
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1520 y(The)19 b(individual)e(cen)o(ters)j +(\(denoted)g(as)e Fz(i)p FB(,)h Fz(j)p FB(,)g(and)f Fz(k)g +FB(b)q(elo)o(w\))h(used)g(to)f(sp)q(ecify)h(Z-matrix)e(connectivit)o(y) +i(ma)o(y)d(b)q(e)0 1570 y(designated)g(either)g(as)f(in)o(tegers)h +(\(iden)o(tifying)e(eac)o(h)h(cen)o(ter)i(b)o(y)e(n)o(um)o(b)q(er\))f +(or)h(as)h(tags)f(\()p Ft(If)h(tags)g(ar)n(e)f(use)n(d,)i(the)f(tag)g +(must)0 1620 y(b)n(e)f(unique)h(for)e(e)n(ach)h(c)n(enter.)p +FB(\))j(The)d(use)f(of)g(\\dumm)o(y")c(atoms)j(is)g(p)q(ossible,)h(b)o +(y)g(using)f Fz(X)h FB(or)g Fz(BQ)f FB(at)h(the)g(start)h(of)e(the)i +(tag.)62 1695 y(Bond)f(lengths,)f(b)q(ond)g(angles)h(and)f(dihedral)g +(angles)g(\(denoted)h(b)q(elo)o(w)f(as)g Fz(R)p FB(,)g +Fz(alpha)p FB(,)f(and)h Fz(beta)p FB(,)f(resp)q(ectiv)o(ely\))j(ma)o(y) +0 1744 y(b)q(e)h(sp)q(eci\014ed)i(either)e(as)g(n)o(umerical)f(v)n +(alues)g(or)h(as)g(sym)o(b)q(olic)e(strings)i(that)g(m)o(ust)f(b)q(e)h +(subsequen)o(tly)h(de\014ned)g(using)e(the)0 1794 y Fz(VARIABLES)f 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currentpoint translate 0.84872 0.84872 scale neg exch +neg exch translate + 68 276 a 68 276 a + gsave currentpoint currentpoint translate 270 neg rotate neg exch +neg exch translate + 68 276 a @beginspecial 0 @llx +0 @lly 201 @urx 509 @ury 2010 @rwi @setspecial +%%BeginDocument: zmat1.eps +%!PS-Adobe-2.0 EPSF-2.0 +%%Title: zmat1.fig +%%Creator: fig2dev Version 3.1 Patchlevel 1 +%%CreationDate: Mon Jan 27 12:33:28 1997 +%%For: d3g681@fermi (Robert J Harrison) +%%Orientation: Landscape +%%BoundingBox: 0 0 201 509 +%%Pages: 0 +%%BeginSetup +%%IncludeFeature: *PageSize Letter +%%EndSetup +%%EndComments +/$F2psDict 200 dict def +$F2psDict begin +$F2psDict /mtrx matrix put +/col-1 {} def +/col0 {0.000 0.000 0.000 srgb} bind def +/col1 {0.000 0.000 1.000 srgb} bind def +/col2 {0.000 1.000 0.000 srgb} bind def +/col3 {0.000 1.000 1.000 srgb} bind def +/col4 {1.000 0.000 0.000 srgb} bind def +/col5 {1.000 0.000 1.000 srgb} bind def +/col6 {1.000 1.000 0.000 srgb} bind def +/col7 {1.000 1.000 1.000 srgb} bind def +/col8 {0.000 0.000 0.560 srgb} bind def +/col9 {0.000 0.000 0.690 srgb} bind def +/col10 {0.000 0.000 0.820 srgb} bind def +/col11 {0.530 0.810 1.000 srgb} bind def +/col12 {0.000 0.560 0.000 srgb} bind def +/col13 {0.000 0.690 0.000 srgb} bind def +/col14 {0.000 0.820 0.000 srgb} bind def +/col15 {0.000 0.560 0.560 srgb} bind def +/col16 {0.000 0.690 0.690 srgb} bind def +/col17 {0.000 0.820 0.820 srgb} bind def +/col18 {0.560 0.000 0.000 srgb} bind def +/col19 {0.690 0.000 0.000 srgb} bind def +/col20 {0.820 0.000 0.000 srgb} bind def +/col21 {0.560 0.000 0.560 srgb} bind def +/col22 {0.690 0.000 0.690 srgb} bind def +/col23 {0.820 0.000 0.820 srgb} bind def +/col24 {0.500 0.190 0.000 srgb} bind def +/col25 {0.630 0.250 0.000 srgb} bind def +/col26 {0.750 0.380 0.000 srgb} bind def +/col27 {1.000 0.500 0.500 srgb} bind def +/col28 {1.000 0.630 0.630 srgb} bind def +/col29 {1.000 0.750 0.750 srgb} bind def +/col30 {1.000 0.880 0.880 srgb} bind def +/col31 {1.000 0.840 0.000 srgb} bind def + +end +save +-9.0 -18.0 translate + 90 rotate +1 -1 scale +.9 .9 scale % to make patterns same scale as in xfig + +% This junk string is used by the show operators +/PATsstr 1 string def +/PATawidthshow { % cx cy cchar rx ry string + % Loop over each character in the string + { % cx cy cchar rx ry char + % Show the character + dup % cx cy cchar rx ry char char + PATsstr dup 0 4 -1 roll put % cx cy cchar rx ry char (char) + false charpath % cx cy cchar rx ry char + /clip load PATdraw + % Move past the character (charpath modified the + % current point) + currentpoint % cx cy cchar rx ry char x y + newpath + moveto % cx cy cchar rx ry char + % Reposition by cx,cy if the character in the string is cchar + 3 index eq { % cx cy cchar rx ry + 4 index 4 index rmoveto + } if + % Reposition all characters by rx ry + 2 copy rmoveto % cx cy cchar rx ry + } forall + pop pop pop pop pop % - + currentpoint + newpath + moveto +} bind def +/PATcg { + 7 dict dup begin + /lw currentlinewidth def + /lc currentlinecap def + /lj currentlinejoin def + /ml currentmiterlimit def + /ds [ currentdash ] def + /cc [ currentrgbcolor ] def + /cm matrix currentmatrix def + end +} bind def +% PATdraw - calculates the boundaries of the object and +% fills it with the current pattern +/PATdraw { % proc + save exch + PATpcalc % proc nw nh px py + 5 -1 roll exec % nw nh px py + newpath + PATfill % - + restore +} bind def +% PATfill - performs the tiling for the shape +/PATfill { % nw nh px py PATfill - + PATDict /CurrentPattern get dup begin + setfont + % Set the coordinate system to Pattern Space + PatternGState PATsg + % Set the color for uncolored pattezns + PaintType 2 eq { PATDict /PColor get PATsc } if + % Create the string for showing + 3 index string % nw nh px py str + % Loop for each of the pattern sources + 0 1 Multi 1 sub { % nw nh px py str source + % Move to the starting location + 3 index 3 index % nw nh px py str source px py + moveto % nw nh px py str source + % For multiple sources, set the appropriate color + Multi 1 ne { dup PC exch get PATsc } if + % Set the appropriate string for the source + 0 1 7 index 1 sub { 2 index exch 2 index put } for pop + % Loop over the number of vertical cells + 3 index % nw nh px py str nh + { % nw nh px py str + currentpoint % nw nh px py str cx cy + 2 index show % nw nh px py str cx cy + YStep add moveto % nw nh px py str + } repeat % nw nh px py str + } for + 5 { pop } repeat + end +} bind def + +% PATkshow - kshow with the current pattezn +/PATkshow { % proc string + exch bind % string proc + 1 index 0 get % string proc char + % Loop over all but the last character in the string + 0 1 4 index length 2 sub { + % string proc char idx + % Find the n+1th character in the string + 3 index exch 1 add get % string proe char char+1 + exch 2 copy % strinq proc char+1 char char+1 char + % Now show the nth character + PATsstr dup 0 4 -1 roll put % string proc chr+1 chr chr+1 (chr) + false charpath % string proc char+1 char char+1 + /clip load PATdraw + % Move past the character (charpath modified the current point) + currentpoint newpath moveto + % Execute the user proc (should consume char and char+1) + mark 3 1 roll % string proc char+1 mark char char+1 + 4 index exec % string proc char+1 mark... + cleartomark % string proc char+1 + } for + % Now display the last character + PATsstr dup 0 4 -1 roll put % string proc (char+1) + false charpath % string proc + /clip load PATdraw + neewath + pop pop % - +} bind def +% PATmp - the makepattern equivalent +/PATmp { % patdict patmtx PATmp patinstance + exch dup length 7 add % We will add 6 new entries plus 1 FID + dict copy % Create a new dictionary + begin + % Matrix to install when painting the pattern + TilingType PATtcalc + /PatternGState PATcg def + PatternGState /cm 3 -1 roll put + % Check for multi pattern sources (Level 1 fast color patterns) + currentdict /Multi known not { /Multi 1 def } if + % Font dictionary definitions + /FontType 3 def + % Create a dummy encoding vector + /Encoding 256 array def + 3 string 0 1 255 { + Encoding exch dup 3 index cvs cvn put } for pop + /FontMatrix matrix def + /FontBBox BBox def + /BuildChar { + mark 3 1 roll % mark dict char + exch begin + Multi 1 ne {PaintData exch get}{pop} ifelse % mark [paintdata] + PaintType 2 eq Multi 1 ne or + { XStep 0 FontBBox aload pop setcachedevice } + { XStep 0 setcharwidth } ifelse + currentdict % mark [paintdata] dict + /PaintProc load % mark [paintdata] dict paintproc + end + gsave + false PATredef exec true PATredef + grestore + cleartomark % - + } bind def + currentdict + end % newdict + /foo exch % /foo newlict + definefont % newfont +} bind def +% PATpcalc - calculates the starting point and width/height +% of the tile fill for the shape +/PATpcalc { % - PATpcalc nw nh px py + PATDict /CurrentPattern get begin + gsave + % Set up the coordinate system to Pattern Space + % and lock down pattern + PatternGState /cm get setmatrix + BBox aload pop pop pop translate + % Determine the bounding box of the shape + pathbbox % llx lly urx ury + grestore + % Determine (nw, nh) the # of cells to paint width and height + PatHeight div ceiling % llx lly urx qh + 4 1 roll % qh llx lly urx + PatWidth div ceiling % qh llx lly qw + 4 1 roll % qw qh llx lly + PatHeight div floor % qw qh llx ph + 4 1 roll % ph qw qh llx + PatWidth div floor % ph qw qh pw + 4 1 roll % pw ph qw qh + 2 index sub cvi abs % pw ph qs qh-ph + exch 3 index sub cvi abs exch % pw ph nw=qw-pw nh=qh-ph + % Determine the starting point of the pattern fill + %(px, py) + 4 2 roll % nw nh pw ph + PatHeight mul % nw nh pw py + exch % nw nh py pw + PatWidth mul exch % nw nh px py + end +} bind def + +% Save the original routines so that we can use them later on +/oldfill /fill load def +/oldeofill /eofill load def +/oldstroke /stroke load def +/oldshow /show load def +/oldashow /ashow load def +/oldwidthshow /widthshow load def +/oldawidthshow /awidthshow load def +/oldkshow /kshow load def + +% These defs are necessary so that subsequent procs don't bind in +% the originals +/fill { oldfill } bind def +/eofill { oldeofill } bind def +/stroke { oldstroke } bind def +/show { oldshow } bind def +/ashow { oldashow } bind def +/widthshow { oldwidthshow } bind def +/awidthshow { oldawidthshow } bind def +/kshow { oldkshow } bind def +/PATredef { + userdict begin + { + /fill { /clip load PATdraw newpath } bind def + /eofill { /eoclip load PATdraw newpath } bind def + /stroke { PATstroke } bind def + /show { 0 0 null 0 0 6 -1 roll PATawidthshow } bind def + /ashow { 0 0 null 6 3 roll PATawidthshow } + bind def + /widthshow { 0 0 3 -1 roll PATawidthshow } + bind def + /awidthshow { PATawidthshow } bind def + /kshow { PATkshow } bind def + } { + /fill { oldfill } bind def + /eofill { oldeofill } bind def + /stroke { oldstroke } bind def + /show { oldshow } bind def + /ashow { oldashow } bind def + /widthshow { oldwidthshow } bind def + /awidthshow { oldawidthshow } bind def + /kshow { oldkshow } bind def + } ifelse + end +} bind def +false PATredef +% Conditionally define setcmykcolor if not available +/setcmykcolor where { pop } { + /setcmykcolor { + 1 sub 4 1 roll + 3 { + 3 index add neg dup 0 lt { pop 0 } if 3 1 roll + } repeat + setrgbcolor - pop + } bind def +} ifelse +/PATsc { % colorarray + aload length % c1 ... cn length + dup 1 eq { pop setgray } { 3 eq { setrgbcolor } { setcmykcolor + } ifelse } ifelse +} bind def +/PATsg { % dict + begin + lw setlinewidth + lc setlinecap + lj setlinejoin + ml setmiterlimit + ds aload pop setdash + cc aload pop setrgbcolor + cm setmatrix + end +} bind def + +/PATDict 3 dict def +/PATsp { + true PATredef + PATDict begin + /CurrentPattern exch def + % If it's an uncolored pattern, save the color + CurrentPattern /PaintType get 2 eq { + /PColor exch def + } if + /CColor [ currentrgbcolor ] def + end +} bind def +% PATstroke - stroke with the current pattern +/PATstroke { + countdictstack + save + mark + { + currentpoint strokepath moveto + PATpcalc % proc nw nh px py + clip newpath PATfill + } stopped { + (*** PATstroke Warning: Path is too complex, stroking + with gray) = + cleartomark + restore + countdictstack exch sub dup 0 gt + { { end } repeat } { pop } ifelse + gsave 0.5 setgray oldstroke grestore + } { pop restore pop } ifelse + newpath +} bind def +/PATtcalc { % modmtx tilingtype PATtcalc tilematrix + % Note: tiling types 2 and 3 are not supported + gsave + exch concat % tilingtype + matrix currentmatrix exch % cmtx tilingtype + % Tiling type 1 and 3: constant spacing + 2 ne { + % Distort the pattern so that it occupies + % an integral number of device pixels + dup 4 get exch dup 5 get exch % tx ty cmtx + XStep 0 dtransform + round exch round exch % tx ty cmtx dx.x dx.y + XStep div exch XStep div exch % tx ty cmtx a b + 0 YStep dtransform + round exch round exch % tx ty cmtx a b dy.x dy.y + YStep div exch YStep div exch % tx ty cmtx a b c d + 7 -3 roll astore % { a b c d tx ty } + } if + grestore +} bind def +/PATusp { + false PATredef + PATDict begin + CColor PATsc + end +} bind def + +% vertical sawtooth lines +11 dict begin +/PaintType 1 def +/PatternType 1 def +/TilingType 1 def +/BBox [0 0 1 1] def +/XStep 1 def +/YStep 1 def +/PatWidth 1 def +/PatHeight 1 def +/Multi 2 def +/PaintData [ + { clippath } bind + { 16 32 true [ 16 0 0 -32 0 32 ] + {<400020001000080004000200010000800100020004000800 + 100020004000800040002000100008000400020001000080 + 01000200040008001000200040008000>} + imagemask } bind +] def +/PaintProc { + pop + exec fill +} def +currentdict +end +/P22 exch def +1.1111 1.1111 scale %restore scale + +/clp {closepath} bind def +/ef {eofill} bind def +/gr {grestore} bind def +/gs {gsave} bind def +/l {lineto} bind def +/m {moveto} bind def +/n {newpath} bind def +/s {stroke} bind def +/slc {setlinecap} bind def +/slj {setlinejoin} bind def +/slw {setlinewidth} bind def +/srgb {setrgbcolor} bind def +/rot {rotate} bind def +/sc {scale} bind def +/tr {translate} bind def +/tnt {dup dup currentrgbcolor + 4 -2 roll dup 1 exch sub 3 -1 roll mul add + 4 -2 roll dup 1 exch sub 3 -1 roll mul add + 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} + bind def +/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul + 4 -2 roll mul srgb} bind def + /DrawEllipse { + /endangle exch def + /startangle exch def + /yrad exch def + /xrad exch def + /y exch def + /x exch def + /savematrix mtrx currentmatrix def + x y tr xrad yrad sc 0 0 1 startangle endangle arc + closepath + savematrix setmatrix + } def + +/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def +/$F2psEnd {$F2psEnteredState restore end} def +%%EndProlog + +$F2psBegin +10 setmiterlimit + 0.06000 0.06000 sc +7.500 slw +% Polyline +n 5626 2251 m 5026 1051 l 7426 451 l 8026 1651 l gs col-1 s gr +% Ellipse +n 5026 1051 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 330.07 65.07] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Polyline +n 5626 2251 m 6226 1051 l 8626 451 l 8026 1651 l 5626 2251 l gs col7 1.00 shd ef gr gs col-1 s gr +% Ellipse +n 452 2252 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 25.13 145.13] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Ellipse +n 1652 1052 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 105.13 65.13] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Ellipse +n 2852 2252 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 185.13 145.13] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Ellipse +n 4052 1052 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 265.13 65.13] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Polyline +n 1652 1052 m 452 2252 l gs col-1 s gr +% Polyline +n 2852 2252 m 4052 1052 l gs col-1 s gr +/Times-Roman findfont 270.00 scalefont setfont +1577 902 m +gs 1 -1 sc (i) col-1 show gr +/Symbol findfont 270.00 scalefont setfont +1577 1352 m +gs 1 -1 sc (a) col-1 show gr +/Times-Roman findfont 270.00 scalefont setfont +2777 2627 m +gs 1 -1 sc (j) col-1 show gr +/Times-Roman findfont 270.00 scalefont setfont +3977 902 m +gs 1 -1 sc (k) col-1 show gr +% Polyline +n 1652 1052 m 2852 2252 l gs col-1 s gr +% Arc +n 5881.00 1606.00 m 5851.00 1726.00 l 5821.00 1606.00 l 5851.50 1606.50 l 5881.00 1606.00 l clp gs 0.00 setgray ef gr gs col-1 s gr +n 5626.00 1726.00 225.00 180.00 0.00 arc +gs col-1 s gr + +/Times-Roman findfont 270.00 scalefont setfont +302 2627 m +gs 1 -1 sc (C) col-1 show gr +% Ellipse +n 5626 2251 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 370.07 145.07] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Ellipse +n 8626 451 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 570.07 25.07] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Ellipse +n 8026 1651 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 530.07 105.07] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Arc +n 1922.00 1472.00 m 1952.00 1352.00 l 1982.00 1472.00 l 1952.50 1472.50 l 1922.00 1472.00 l clp gs 0.00 setgray ef gr gs col-1 s gr +n 1652.00 1352.00 300.00 180.00 0.00 arcn +gs col-1 s gr + +/Times-Roman findfont 270.00 scalefont setfont +827 1577 m +gs 1 -1 sc (R) col-1 show gr +/Symbol findfont 270.00 scalefont setfont +5626 1951 m +gs 1 -1 sc (b) col-1 show gr +/Times-Roman findfont 270.00 scalefont setfont +4726 1051 m +gs 1 -1 sc (C) col-1 show gr +/Times-Roman findfont 270.00 scalefont setfont +5476 2626 m +gs 1 -1 sc (i) col-1 show gr +/Times-Roman findfont 270.00 scalefont setfont +8101 1951 m +gs 1 -1 sc (j) col-1 show gr +/Times-Roman findfont 270.00 scalefont setfont +8776 301 m +gs 1 -1 sc (k) col-1 show gr +/Times-Roman findfont 270.00 scalefont setfont +2250 3450 m +gs 1 -1 sc (Input line: C i R j alpha k beta ) col-1 show gr +$F2psEnd +restore + +%%EndDocument + @endspecial 906 276 a + currentpoint grestore moveto + 906 276 a 68 276 a + currentpoint currentpoint translate 1 0.84872 div 1 0.84872 div scale +neg exch neg exch translate + 68 276 a 100 +1061 a FB(Figure)14 b(6.1:)j(Relationships)c(b)q(et)o(w)o(een)j(the)e +(cen)o(ters,)i(b)q(ond)e(angle)f(and)h(dihedral)f(angle)h(in)f +(Z-matrix)f(input.)68 1404 y + currentpoint currentpoint translate 0.89073 0.89073 scale neg exch +neg exch translate + 68 1404 a 68 1404 a + gsave currentpoint currentpoint translate 270 neg rotate neg exch +neg exch translate + 68 1404 +a @beginspecial 0 @llx 0 @lly 266 @urx 485 @ury 2660 +@rwi @setspecial +%%BeginDocument: zmat2.eps +%!PS-Adobe-2.0 EPSF-2.0 +%%Title: zmat2.fig +%%Creator: fig2dev Version 3.1 Patchlevel 1 +%%CreationDate: Mon Jan 27 12:33:12 1997 +%%For: d3g681@fermi (Robert J Harrison) +%%Orientation: Landscape +%%BoundingBox: 0 0 266 485 +%%Pages: 0 +%%BeginSetup +%%IncludeFeature: *PageSize Letter +%%EndSetup +%%EndComments +/$F2psDict 200 dict def +$F2psDict begin +$F2psDict /mtrx matrix put +/col-1 {} def +/col0 {0.000 0.000 0.000 srgb} bind def +/col1 {0.000 0.000 1.000 srgb} bind def +/col2 {0.000 1.000 0.000 srgb} bind def +/col3 {0.000 1.000 1.000 srgb} bind def +/col4 {1.000 0.000 0.000 srgb} bind def +/col5 {1.000 0.000 1.000 srgb} bind def +/col6 {1.000 1.000 0.000 srgb} bind def +/col7 {1.000 1.000 1.000 srgb} bind def +/col8 {0.000 0.000 0.560 srgb} bind def +/col9 {0.000 0.000 0.690 srgb} bind def +/col10 {0.000 0.000 0.820 srgb} bind def +/col11 {0.530 0.810 1.000 srgb} bind def +/col12 {0.000 0.560 0.000 srgb} bind def +/col13 {0.000 0.690 0.000 srgb} bind def +/col14 {0.000 0.820 0.000 srgb} bind def +/col15 {0.000 0.560 0.560 srgb} bind def +/col16 {0.000 0.690 0.690 srgb} bind def +/col17 {0.000 0.820 0.820 srgb} bind def +/col18 {0.560 0.000 0.000 srgb} bind def +/col19 {0.690 0.000 0.000 srgb} bind def +/col20 {0.820 0.000 0.000 srgb} bind def +/col21 {0.560 0.000 0.560 srgb} bind def +/col22 {0.690 0.000 0.690 srgb} bind def +/col23 {0.820 0.000 0.820 srgb} bind def +/col24 {0.500 0.190 0.000 srgb} bind def +/col25 {0.630 0.250 0.000 srgb} bind def +/col26 {0.750 0.380 0.000 srgb} bind def +/col27 {1.000 0.500 0.500 srgb} bind def +/col28 {1.000 0.630 0.630 srgb} bind def +/col29 {1.000 0.750 0.750 srgb} bind def +/col30 {1.000 0.880 0.880 srgb} bind def +/col31 {1.000 0.840 0.000 srgb} bind def + +end +save +-45.0 -118.0 translate + 90 rotate +1 -1 scale +.9 .9 scale % to make patterns same scale as in xfig + +% This junk string is used by the show operators +/PATsstr 1 string def +/PATawidthshow { % cx cy cchar rx ry string + % Loop over each character in the string + { % cx cy cchar rx ry char + % Show the character + dup % cx cy cchar rx ry char char + PATsstr dup 0 4 -1 roll put % cx cy cchar rx ry char (char) + false charpath % cx cy cchar rx ry char + /clip load PATdraw + % Move past the character (charpath modified the + % current point) + currentpoint % cx cy cchar rx ry char x y + newpath + moveto % cx cy cchar rx ry char + % Reposition by cx,cy if the character in the string is cchar + 3 index eq { % cx cy cchar rx ry + 4 index 4 index rmoveto + } if + % Reposition all characters by rx ry + 2 copy rmoveto % cx cy cchar rx ry + } forall + pop pop pop pop pop % - + currentpoint + newpath + moveto +} bind def +/PATcg { + 7 dict dup begin + /lw currentlinewidth def + /lc currentlinecap def + /lj currentlinejoin def + /ml currentmiterlimit def + /ds [ currentdash ] def + /cc [ currentrgbcolor ] def + /cm matrix currentmatrix def + end +} bind def +% PATdraw - calculates the boundaries of the object and +% fills it with the current pattern +/PATdraw { % proc + save exch + PATpcalc % proc nw nh px py + 5 -1 roll exec % nw nh px py + newpath + PATfill % - + restore +} bind def +% PATfill - performs the tiling for the shape +/PATfill { % nw nh px py PATfill - + PATDict /CurrentPattern get dup begin + setfont + % Set the coordinate system to Pattern Space + PatternGState PATsg + % Set the color for uncolored pattezns + PaintType 2 eq { PATDict /PColor get PATsc } if + % Create the string for showing + 3 index string % nw nh px py str + % Loop for each of the pattern sources + 0 1 Multi 1 sub { % nw nh px py str source + % Move to the starting location + 3 index 3 index % nw nh px py str source px py + moveto % nw nh px py str source + % For multiple sources, set the appropriate color + Multi 1 ne { dup PC exch get PATsc } if + % Set the appropriate string for the source + 0 1 7 index 1 sub { 2 index exch 2 index put } for pop + % Loop over the number of vertical cells + 3 index % nw nh px py str nh + { % nw nh px py str + currentpoint % nw nh px py str cx cy + 2 index show % nw nh px py str cx cy + YStep add moveto % nw nh px py str + } repeat % nw nh px py str + } for + 5 { pop } repeat + end +} bind def + +% PATkshow - kshow with the current pattezn +/PATkshow { % proc string + exch bind % string proc + 1 index 0 get % string proc char + % Loop over all but the last character in the string + 0 1 4 index length 2 sub { + % string proc char idx + % Find the n+1th character in the string + 3 index exch 1 add get % string proe char char+1 + exch 2 copy % strinq proc char+1 char char+1 char + % Now show the nth character + PATsstr dup 0 4 -1 roll put % string proc chr+1 chr chr+1 (chr) + false charpath % string proc char+1 char char+1 + /clip load PATdraw + % Move past the character (charpath modified the current point) + currentpoint newpath moveto + % Execute the user proc (should consume char and char+1) + mark 3 1 roll % string proc char+1 mark char char+1 + 4 index exec % string proc char+1 mark... + cleartomark % string proc char+1 + } for + % Now display the last character + PATsstr dup 0 4 -1 roll put % string proc (char+1) + false charpath % string proc + /clip load PATdraw + neewath + pop pop % - +} bind def +% PATmp - the makepattern equivalent +/PATmp { % patdict patmtx PATmp patinstance + exch dup length 7 add % We will add 6 new entries plus 1 FID + dict copy % Create a new dictionary + begin + % Matrix to install when painting the pattern + TilingType PATtcalc + /PatternGState PATcg def + PatternGState /cm 3 -1 roll put + % Check for multi pattern sources (Level 1 fast color patterns) + currentdict /Multi known not { /Multi 1 def } if + % Font dictionary definitions + /FontType 3 def + % Create a dummy encoding vector + /Encoding 256 array def + 3 string 0 1 255 { + Encoding exch dup 3 index cvs cvn put } for pop + /FontMatrix matrix def + /FontBBox BBox def + /BuildChar { + mark 3 1 roll % mark dict char + exch begin + Multi 1 ne {PaintData exch get}{pop} ifelse % mark [paintdata] + PaintType 2 eq Multi 1 ne or + { XStep 0 FontBBox aload pop setcachedevice } + { XStep 0 setcharwidth } ifelse + currentdict % mark [paintdata] dict + /PaintProc load % mark [paintdata] dict paintproc + end + gsave + false PATredef exec true PATredef + grestore + cleartomark % - + } bind def + currentdict + end % newdict + /foo exch % /foo newlict + definefont % newfont +} bind def +% PATpcalc - calculates the starting point and width/height +% of the tile fill for the shape +/PATpcalc { % - PATpcalc nw nh px py + PATDict /CurrentPattern get begin + gsave + % Set up the coordinate system to Pattern Space + % and lock down pattern + PatternGState /cm get setmatrix + BBox aload pop pop pop translate + % Determine the bounding box of the shape + pathbbox % llx lly urx ury + grestore + % Determine (nw, nh) the # of cells to paint width and height + PatHeight div ceiling % llx lly urx qh + 4 1 roll % qh llx lly urx + PatWidth div ceiling % qh llx lly qw + 4 1 roll % qw qh llx lly + PatHeight div floor % qw qh llx ph + 4 1 roll % ph qw qh llx + PatWidth div floor % ph qw qh pw + 4 1 roll % pw ph qw qh + 2 index sub cvi abs % pw ph qs qh-ph + exch 3 index sub cvi abs exch % pw ph nw=qw-pw nh=qh-ph + % Determine the starting point of the pattern fill + %(px, py) + 4 2 roll % nw nh pw ph + PatHeight mul % nw nh pw py + exch % nw nh py pw + PatWidth mul exch % nw nh px py + end +} bind def + +% Save the original routines so that we can use them later on +/oldfill /fill load def +/oldeofill /eofill load def +/oldstroke /stroke load def +/oldshow /show load def +/oldashow /ashow load def +/oldwidthshow /widthshow load def +/oldawidthshow /awidthshow load def +/oldkshow /kshow load def + +% These defs are necessary so that subsequent procs don't bind in +% the originals +/fill { oldfill } bind def +/eofill { oldeofill } bind def +/stroke { oldstroke } bind def +/show { oldshow } bind def +/ashow { oldashow } bind def +/widthshow { oldwidthshow } bind def +/awidthshow { oldawidthshow } bind def +/kshow { oldkshow } bind def +/PATredef { + userdict begin + { + /fill { /clip load PATdraw newpath } bind def + /eofill { /eoclip load PATdraw newpath } bind def + /stroke { PATstroke } bind def + /show { 0 0 null 0 0 6 -1 roll PATawidthshow } bind def + /ashow { 0 0 null 6 3 roll PATawidthshow } + bind def + /widthshow { 0 0 3 -1 roll PATawidthshow } + bind def + /awidthshow { PATawidthshow } bind def + /kshow { PATkshow } bind def + } { + /fill { oldfill } bind def + /eofill { oldeofill } bind def + /stroke { oldstroke } bind def + /show { oldshow } bind def + /ashow { oldashow } bind def + /widthshow { oldwidthshow } bind def + /awidthshow { oldawidthshow } bind def + /kshow { oldkshow } bind def + } ifelse + end +} bind def +false PATredef +% Conditionally define setcmykcolor if not available +/setcmykcolor where { pop } { + /setcmykcolor { + 1 sub 4 1 roll + 3 { + 3 index add neg dup 0 lt { pop 0 } if 3 1 roll + } repeat + setrgbcolor - pop + } bind def +} ifelse +/PATsc { % colorarray + aload length % c1 ... cn length + dup 1 eq { pop setgray } { 3 eq { setrgbcolor } { setcmykcolor + } ifelse } ifelse +} bind def +/PATsg { % dict + begin + lw setlinewidth + lc setlinecap + lj setlinejoin + ml setmiterlimit + ds aload pop setdash + cc aload pop setrgbcolor + cm setmatrix + end +} bind def + +/PATDict 3 dict def +/PATsp { + true PATredef + PATDict begin + /CurrentPattern exch def + % If it's an uncolored pattern, save the color + CurrentPattern /PaintType get 2 eq { + /PColor exch def + } if + /CColor [ currentrgbcolor ] def + end +} bind def +% PATstroke - stroke with the current pattern +/PATstroke { + countdictstack + save + mark + { + currentpoint strokepath moveto + PATpcalc % proc nw nh px py + clip newpath PATfill + } stopped { + (*** PATstroke Warning: Path is too complex, stroking + with gray) = + cleartomark + restore + countdictstack exch sub dup 0 gt + { { end } repeat } { pop } ifelse + gsave 0.5 setgray oldstroke grestore + } { pop restore pop } ifelse + newpath +} bind def +/PATtcalc { % modmtx tilingtype PATtcalc tilematrix + % Note: tiling types 2 and 3 are not supported + gsave + exch concat % tilingtype + matrix currentmatrix exch % cmtx tilingtype + % Tiling type 1 and 3: constant spacing + 2 ne { + % Distort the pattern so that it occupies + % an integral number of device pixels + dup 4 get exch dup 5 get exch % tx ty cmtx + XStep 0 dtransform + round exch round exch % tx ty cmtx dx.x dx.y + XStep div exch XStep div exch % tx ty cmtx a b + 0 YStep dtransform + round exch round exch % tx ty cmtx a b dy.x dy.y + YStep div exch YStep div exch % tx ty cmtx a b c d + 7 -3 roll astore % { a b c d tx ty } + } if + grestore +} bind def +/PATusp { + false PATredef + PATDict begin + CColor PATsc + end +} bind def + +% vertical sawtooth lines +11 dict begin +/PaintType 1 def +/PatternType 1 def +/TilingType 1 def +/BBox [0 0 1 1] def +/XStep 1 def +/YStep 1 def +/PatWidth 1 def +/PatHeight 1 def +/Multi 2 def +/PaintData [ + { clippath } bind + { 16 32 true [ 16 0 0 -32 0 32 ] + {<400020001000080004000200010000800100020004000800 + 100020004000800040002000100008000400020001000080 + 01000200040008001000200040008000>} + imagemask } bind +] def +/PaintProc { + pop + exec fill +} def +currentdict +end +/P22 exch def +1.1111 1.1111 scale %restore scale + +/clp {closepath} bind def +/ef {eofill} bind def +/gr {grestore} bind def +/gs {gsave} bind def +/l {lineto} bind def +/m {moveto} bind def +/n {newpath} bind def +/s {stroke} bind def +/slc {setlinecap} bind def +/slj {setlinejoin} bind def +/slw {setlinewidth} bind def +/srgb {setrgbcolor} bind def +/rot {rotate} bind def +/sc {scale} bind def +/tr {translate} bind def +/tnt {dup dup currentrgbcolor + 4 -2 roll dup 1 exch sub 3 -1 roll mul add + 4 -2 roll dup 1 exch sub 3 -1 roll mul add + 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} + bind def +/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul + 4 -2 roll mul srgb} bind def + /DrawEllipse { + /endangle exch def + /startangle exch def + /yrad exch def + /xrad exch def + /y exch def + /x exch def + /savematrix mtrx currentmatrix def + x y tr xrad yrad sc 0 0 1 startangle endangle arc + closepath + savematrix setmatrix + } def + +/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def +/$F2psEnd {$F2psEnteredState restore end} def +%%EndProlog + +$F2psBegin +10 setmiterlimit + 0.06000 0.06000 sc +7.500 slw +% Ellipse +n 8946 2749 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 591.40 178.27] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Ellipse +n 8250 2160 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 545.00 139.00] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Ellipse +n 7035 2745 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 464.00 178.00] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Ellipse +n 6435 1560 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 424.00 99.00] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Polyline +n 3603 2433 m 2115 3300 l gs col-1 s gr +% Ellipse +n 3603 2433 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 235.20 157.20] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Ellipse +n 3600 975 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 235.00 60.00] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Ellipse +n 2111 3322 75 75 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def +15.00 15.00 sc P22 [8 0 0 -16 135.73 216.47] PATmp PATsp ef gr PATusp gs col-1 s gr + +% Polyline +n 4803 3633 m 4803 3633 l gs col-1 s gr +% Polyline +n 3603 2433 m 4803 3633 l gs col-1 s gr +% Polyline +n 3600 2370 m 3600 945 l gs col-1 s gr +/Times-Roman findfont 270.00 scalefont setfont +3750 2325 m +gs 1 -1 sc (i) col-1 show gr +/Times-Roman findfont 270.00 scalefont setfont +3375 900 m +gs 1 -1 sc (k) col-1 show gr +/Symbol findfont 270.00 scalefont setfont +3375 2400 m +gs 1 -1 sc (b) 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+/$F2psDict 200 dict def +$F2psDict begin +$F2psDict /mtrx matrix put +/col-1 {} def +/col0 {0.000 0.000 0.000 srgb} bind def +/col1 {0.000 0.000 1.000 srgb} bind def +/col2 {0.000 1.000 0.000 srgb} bind def +/col3 {0.000 1.000 1.000 srgb} bind def +/col4 {1.000 0.000 0.000 srgb} bind def +/col5 {1.000 0.000 1.000 srgb} bind def +/col6 {1.000 1.000 0.000 srgb} bind def +/col7 {1.000 1.000 1.000 srgb} bind def +/col8 {0.000 0.000 0.560 srgb} bind def +/col9 {0.000 0.000 0.690 srgb} bind def +/col10 {0.000 0.000 0.820 srgb} bind def +/col11 {0.530 0.810 1.000 srgb} bind def +/col12 {0.000 0.560 0.000 srgb} bind def +/col13 {0.000 0.690 0.000 srgb} bind def +/col14 {0.000 0.820 0.000 srgb} bind def +/col15 {0.000 0.560 0.560 srgb} bind def +/col16 {0.000 0.690 0.690 srgb} bind def +/col17 {0.000 0.820 0.820 srgb} bind def +/col18 {0.560 0.000 0.000 srgb} bind def +/col19 {0.690 0.000 0.000 srgb} bind def +/col20 {0.820 0.000 0.000 srgb} bind def +/col21 {0.560 0.000 0.560 srgb} bind def +/col22 {0.690 0.000 0.690 srgb} bind def +/col23 {0.820 0.000 0.820 srgb} bind def +/col24 {0.500 0.190 0.000 srgb} bind def +/col25 {0.630 0.250 0.000 srgb} bind def +/col26 {0.750 0.380 0.000 srgb} bind def +/col27 {1.000 0.500 0.500 srgb} bind def +/col28 {1.000 0.630 0.630 srgb} bind def +/col29 {1.000 0.750 0.750 srgb} bind def +/col30 {1.000 0.880 0.880 srgb} bind def +/col31 {1.000 0.840 0.000 srgb} bind def + +end +save +-45.0 -118.0 translate + 90 rotate +1 -1 scale +.9 .9 scale % to make patterns same scale as in xfig + +% This junk string is used by the show operators +/PATsstr 1 string def +/PATawidthshow { % cx cy cchar rx ry string + % Loop over each character in the string + { % cx cy cchar rx ry char + % Show the character + dup % cx cy cchar rx ry char char + PATsstr dup 0 4 -1 roll put % cx cy cchar rx ry char (char) + false charpath % cx cy cchar rx ry char + /clip load PATdraw + % Move past the character (charpath modified the + % current point) + currentpoint % cx cy cchar rx ry char x y + newpath + moveto % cx cy cchar rx ry char + % Reposition by cx,cy if the character in the string is cchar + 3 index eq { % cx cy cchar rx ry + 4 index 4 index rmoveto + } if + % Reposition all characters by rx ry + 2 copy rmoveto % cx cy cchar rx ry + } forall + pop pop pop pop pop % - + currentpoint + newpath + moveto +} bind def +/PATcg { + 7 dict dup begin + /lw currentlinewidth def + /lc currentlinecap def + /lj currentlinejoin def + /ml currentmiterlimit def + /ds [ currentdash ] def + /cc [ currentrgbcolor ] def + /cm matrix currentmatrix def + end +} bind def +% PATdraw - calculates the boundaries of the object and +% fills it with the current pattern +/PATdraw { % proc + save exch + PATpcalc % proc nw nh px py + 5 -1 roll exec % nw nh px py + newpath + PATfill % - + restore +} bind def +% PATfill - performs the tiling for the shape +/PATfill { % nw nh px py PATfill - + PATDict /CurrentPattern get dup begin + setfont + % Set the coordinate system to Pattern Space + PatternGState PATsg + % Set the color for uncolored pattezns + PaintType 2 eq { PATDict /PColor get PATsc } if + % Create the string for showing + 3 index string % nw nh px py str + % Loop for each of the pattern sources + 0 1 Multi 1 sub { % nw nh px py str source + % Move to the starting location + 3 index 3 index % nw nh px py str source px py + moveto % nw nh px py str source + % For multiple sources, set the appropriate color + Multi 1 ne { dup PC exch get PATsc } if + % Set the appropriate string for the source + 0 1 7 index 1 sub { 2 index exch 2 index put } for pop + % Loop over the number of vertical cells + 3 index % nw nh px py str nh + { % nw nh px py str + currentpoint % nw nh px py str cx cy + 2 index show % nw nh px py str cx cy + YStep add moveto % nw nh px py str + } repeat % nw nh px py str + } for + 5 { pop } repeat + end +} bind def + +% PATkshow - kshow with the current pattezn +/PATkshow { % proc string + exch bind % string proc + 1 index 0 get % string proc char + % Loop over all but the last character in the string + 0 1 4 index length 2 sub { + % string proc char idx + % Find the n+1th character in the string + 3 index exch 1 add get % string proe char char+1 + exch 2 copy % strinq proc char+1 char char+1 char + % Now show the nth character + PATsstr dup 0 4 -1 roll put % string proc chr+1 chr chr+1 (chr) + false charpath % string proc char+1 char char+1 + /clip load PATdraw + % Move past the character (charpath modified the current point) + currentpoint newpath moveto + % Execute the user proc (should consume char and char+1) + mark 3 1 roll % string proc char+1 mark char char+1 + 4 index exec % string proc char+1 mark... + cleartomark % string proc char+1 + } for + % Now display the last character + PATsstr dup 0 4 -1 roll put % string proc (char+1) + false charpath % string proc + /clip load PATdraw + neewath + pop pop % - +} bind def +% PATmp - the makepattern equivalent +/PATmp { % patdict patmtx PATmp patinstance + exch dup length 7 add % We will add 6 new entries plus 1 FID + dict copy % Create a new dictionary + begin + % Matrix to install when painting the pattern + TilingType PATtcalc + /PatternGState PATcg def + PatternGState /cm 3 -1 roll put + % Check for multi pattern sources (Level 1 fast color patterns) + currentdict /Multi known not { /Multi 1 def } if + % Font dictionary definitions + /FontType 3 def + % Create a dummy encoding vector + /Encoding 256 array def + 3 string 0 1 255 { + Encoding exch dup 3 index cvs cvn put } for pop + /FontMatrix matrix def + /FontBBox BBox def + /BuildChar { + mark 3 1 roll % mark dict char + exch begin + Multi 1 ne {PaintData exch get}{pop} ifelse % mark [paintdata] + PaintType 2 eq Multi 1 ne or + { XStep 0 FontBBox aload pop setcachedevice } + { XStep 0 setcharwidth } ifelse + currentdict % mark [paintdata] dict + /PaintProc load % mark [paintdata] dict paintproc + end + gsave + false PATredef exec true PATredef + grestore + cleartomark % - + } bind def + currentdict + end % newdict + /foo exch % /foo newlict + definefont % newfont +} bind def +% PATpcalc - calculates the starting point and width/height +% of the tile fill for the shape +/PATpcalc { % - PATpcalc nw nh px py + PATDict /CurrentPattern get begin + gsave + % Set up the coordinate system to Pattern Space + % and lock down pattern + PatternGState /cm get setmatrix + BBox aload pop pop pop translate + % Determine the bounding box of the shape + pathbbox % llx lly urx ury + grestore + % Determine (nw, nh) the # of cells to paint width and height + PatHeight div ceiling % llx lly urx qh + 4 1 roll % qh llx lly urx + PatWidth div ceiling % qh llx lly qw + 4 1 roll % qw qh llx lly + PatHeight div floor % qw qh llx ph + 4 1 roll % ph qw qh llx + PatWidth div floor % ph qw qh pw + 4 1 roll % pw ph qw qh + 2 index sub cvi abs % pw ph qs qh-ph + exch 3 index sub cvi abs exch % pw ph nw=qw-pw nh=qh-ph + % Determine the starting point of the pattern fill + %(px, py) + 4 2 roll % nw nh pw ph + PatHeight mul % nw nh pw py + exch % nw nh py pw + PatWidth mul exch % nw nh px py + end +} bind def + +% Save the original routines so that we can use them later on +/oldfill /fill load def +/oldeofill /eofill load def +/oldstroke /stroke load def +/oldshow /show load def +/oldashow /ashow load def +/oldwidthshow /widthshow load def +/oldawidthshow /awidthshow load def +/oldkshow /kshow load def + +% These defs are necessary so that subsequent procs don't bind in +% the originals +/fill { oldfill } bind def +/eofill { oldeofill } bind def +/stroke { oldstroke } bind def +/show { oldshow } bind def +/ashow { oldashow } bind def +/widthshow { oldwidthshow } bind def +/awidthshow { oldawidthshow } bind def +/kshow { oldkshow } bind def +/PATredef { + userdict begin + { + /fill { /clip load PATdraw newpath } bind def + /eofill { /eoclip load PATdraw newpath } bind def + /stroke { PATstroke } bind def + /show { 0 0 null 0 0 6 -1 roll PATawidthshow } bind def + /ashow { 0 0 null 6 3 roll PATawidthshow } + bind def + /widthshow { 0 0 3 -1 roll PATawidthshow } + bind def + /awidthshow { PATawidthshow } bind def + /kshow { PATkshow } bind def + } { + /fill { oldfill } bind def + /eofill { oldeofill } bind def + /stroke { oldstroke } bind def + /show { oldshow } bind def + /ashow { oldashow } bind def + /widthshow { oldwidthshow } bind def + /awidthshow { oldawidthshow } bind def + /kshow { oldkshow } bind def + } ifelse + end +} bind def +false PATredef +% Conditionally define setcmykcolor if not available +/setcmykcolor where { pop } { + /setcmykcolor { + 1 sub 4 1 roll + 3 { + 3 index add neg dup 0 lt { pop 0 } if 3 1 roll + } repeat + setrgbcolor - pop + } bind def +} ifelse +/PATsc { % colorarray + aload length % c1 ... cn length + dup 1 eq { pop setgray } { 3 eq { setrgbcolor } { setcmykcolor + } ifelse } ifelse +} bind def +/PATsg { % dict + begin + lw setlinewidth + lc setlinecap + lj setlinejoin + ml setmiterlimit + ds aload pop setdash + cc aload pop setrgbcolor + cm setmatrix + end +} bind def + +/PATDict 3 dict def +/PATsp { + true PATredef + PATDict begin + /CurrentPattern exch def + % If it's an uncolored pattern, save the color + CurrentPattern /PaintType get 2 eq { + /PColor exch def + } if + /CColor [ currentrgbcolor ] def + end +} bind def +% PATstroke - stroke with the current pattern +/PATstroke { + countdictstack + save + mark + { + currentpoint strokepath moveto + PATpcalc % proc nw nh px py + clip newpath PATfill + } stopped { + (*** PATstroke Warning: Path is too complex, stroking + with gray) = + cleartomark + restore + countdictstack exch sub dup 0 gt + { { end } repeat } { pop } ifelse + gsave 0.5 setgray oldstroke grestore + } { pop restore pop } ifelse + newpath +} bind def +/PATtcalc { % modmtx tilingtype PATtcalc tilematrix + % Note: tiling types 2 and 3 are not supported + gsave + exch concat % tilingtype + matrix currentmatrix exch % cmtx tilingtype + % Tiling type 1 and 3: constant spacing + 2 ne { + % Distort the pattern so that it occupies + % an integral number of device pixels + dup 4 get exch dup 5 get exch % tx ty cmtx + XStep 0 dtransform + round exch round exch % tx ty cmtx dx.x dx.y + XStep div exch XStep div exch % tx ty cmtx a b + 0 YStep dtransform + round exch round exch % tx ty cmtx a b dy.x dy.y + YStep div exch YStep div exch % tx ty cmtx a b c d + 7 -3 roll astore % { a b c d tx ty } + } if + grestore +} bind def +/PATusp { + false PATredef + PATDict begin + CColor PATsc + end +} bind def + +% vertical sawtooth lines +11 dict begin +/PaintType 1 def +/PatternType 1 def +/TilingType 1 def +/BBox [0 0 1 1] def +/XStep 1 def +/YStep 1 def +/PatWidth 1 def +/PatHeight 1 def +/Multi 2 def +/PaintData [ + { clippath } bind + { 16 32 true [ 16 0 0 -32 0 32 ] + {<400020001000080004000200010000800100020004000800 + 100020004000800040002000100008000400020001000080 + 01000200040008001000200040008000>} + imagemask } bind +] def +/PaintProc { + pop + exec fill +} def +currentdict +end +/P22 exch def +1.1111 1.1111 scale %restore scale + +/clp {closepath} bind def +/ef {eofill} bind def +/gr {grestore} bind def +/gs {gsave} bind def +/l {lineto} bind def +/m {moveto} bind def +/n {newpath} bind def +/s {stroke} bind def +/slc {setlinecap} bind def +/slj {setlinejoin} bind def +/slw {setlinewidth} bind def +/srgb {setrgbcolor} bind def +/rot {rotate} bind def +/sc {scale} bind def +/tr {translate} bind def +/tnt {dup dup currentrgbcolor + 4 -2 roll dup 1 exch sub 3 -1 roll mul add + 4 -2 roll dup 1 exch sub 3 -1 roll mul add + 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} + bind def +/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul + 4 -2 roll mul srgb} bind def + /DrawEllipse { + /endangle exch def + /startangle exch def + /yrad exch def + /xrad exch def + /y exch def + /x exch def + /savematrix mtrx currentmatrix def + x y tr xrad yrad sc 0 0 1 startangle endangle arc + closepath + savematrix setmatrix + } def + +/$F2psBegin {$F2psDict begin 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Fu(profile)104 382 y Fw(sp)q(eci\014es)h(that)d +(execution)i(time)e(pro\014ling)g(data)g(will)f(b)q(e)j(part)f(of)f +(the)i(recorded)g(prop)q(erties.)21 466 y Fu(scale)21 +b(<real)f(scaleq>)104 532 y Fw(sp)q(eci\014es)c(that)d(all)g(c)o +(harges)i(will)d(b)q(e)j(scaled)f(b)o(y)g(the)g(factro)g +Fu(scaleq)p Fw(.)21 615 y Fu(collapse)20 b([<real)g(fcoll)h(default)g +(10.0>)f([)i(z)f(|)h(xy)f(])104 682 y Fw(sp)q(eci\014es)d(that)f +(additional)e(forces)j(directed)g(to)e(the)i(origin)d(of)i(the)g(sim)o +(ulation)d(cell)i(with)h(strength)h Fu(fcoll)d Fw(will)104 +731 y(b)q(e)h(applied)e(to)h(all)f(solute)h(molecules.)21 +b(If)15 b Fu(z)g Fw(or)g Fu(xy)g Fw(is)g(sp)q(eci\014ed,)h(these)h +(forces)f(will)d(only)i(apply)f(in)h(the)g(sp)q(eci\014ed)104 +781 y(dimension\(s\).)21 864 y Fu(include)20 b(fixed)104 +931 y Fw(sp)q(eci\014es)14 b(that)e(energies)h(will)e(b)q(e)h(ev)n +(aluated)g(b)q(et)o(w)o(een)i(\014xed)e(atoms.)k(Normally)10 +b(these)j(in)o(teractions)g(are)f(excluded)104 981 y(from)g(the)i +(pairlists.)21 1064 y Fu(eqm)21 b(<real)g(eqm>)104 1130 +y Fw(sp)q(eci\014es)16 b(the)e(zero)h(p)q(oin)o(t)e(of)g(energy)i(in)f +(QMD)f(sim)o(ulations.)21 1213 y Fu(atomlist)104 1280 +y Fw(sp)q(eci\014es)j(that)d(pairlists)h(will)e(b)q(e)j(atom)d(based.) +19 b(Normally)11 b(pairlist)i(are)h(c)o(harge)h(group)e(based.)0 +1442 y Fx(31.23)65 b(Auto)r(correlation)24 b(function)0 +1558 y Fw(F)m(or)c(the)h(ev)n(aluation)e(of)h(the)h(statistical)f +(error)i(of)d(m)o(ulti-con\014guration)f(thermo)q(dynamic)g(in)o +(tegration)i(free)h(energy)0 1608 y(results)16 b(a)e(correlated)h(data) +g(analysis)e(is)i(carried)g(out,)f(in)o(v)o(olving)e(the)k(calculation) +d(of)h(the)h(auto)q(correlation)f(function)h(of)0 1658 +y(the)f(deriv)n(ativ)o(e)g(of)f(the)i(Hamiltonia)o(n)c(with)j(resp)q +(ect)i(to)e(the)g(con)o(trol)g(v)n(ariable)f Fs(\025)p +Fw(.)21 1766 y Fu(auto)21 b(<integer)f(lacf>)h([fit)g(<integer)f +(nfit>])g([weight)h(<real)f(weight>])104 1832 y Fw(con)o(trols)h(the)g 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4684 0 R +/Kids [3592 0 R 3598 0 R 3602 0 R 3612 0 R 3616 0 R 3622 0 R] +>> endobj +3632 0 obj << +/Type /Pages +/Count 6 +/Parent 4684 0 R +/Kids [3626 0 R 3634 0 R 3642 0 R 3646 0 R 3650 0 R 3655 0 R] +>> endobj +3665 0 obj << +/Type /Pages +/Count 6 +/Parent 4684 0 R +/Kids [3662 0 R 3667 0 R 3671 0 R 3675 0 R 3679 0 R 3683 0 R] +>> endobj +3690 0 obj << +/Type /Pages +/Count 6 +/Parent 4684 0 R +/Kids [3687 0 R 3692 0 R 3696 0 R 3702 0 R 3706 0 R 3710 0 R] +>> endobj +3717 0 obj << +/Type /Pages +/Count 6 +/Parent 4684 0 R +/Kids [3714 0 R 3719 0 R 3723 0 R 3727 0 R 3731 0 R 3735 0 R] +>> endobj +3746 0 obj << +/Type /Pages +/Count 6 +/Parent 4684 0 R +/Kids [3740 0 R 3748 0 R 3760 0 R 3764 0 R 3768 0 R 3772 0 R] +>> endobj +3781 0 obj << +/Type /Pages +/Count 6 +/Parent 4685 0 R +/Kids [3778 0 R 3783 0 R 3787 0 R 3791 0 R 3795 0 R 3799 0 R] +>> endobj +3807 0 obj << +/Type /Pages +/Count 6 +/Parent 4685 0 R +/Kids [3803 0 R 3809 0 R 3813 0 R 3817 0 R 3821 0 R 3825 0 R] +>> endobj +3832 0 obj << +/Type /Pages +/Count 6 +/Parent 4685 0 R +/Kids [3829 0 R 3834 0 R 3838 0 R 3842 0 R 3846 0 R 3850 0 R] +>> endobj +3864 0 obj << +/Type /Pages +/Count 6 +/Parent 4685 0 R +/Kids [3854 0 R 3866 0 R 3871 0 R 3875 0 R 3879 0 R 3883 0 R] +>> endobj +3893 0 obj << +/Type /Pages +/Count 6 +/Parent 4685 0 R +/Kids [3888 0 R 3895 0 R 3900 0 R 3904 0 R 3909 0 R 3916 0 R] +>> endobj +3935 0 obj << +/Type /Pages +/Count 6 +/Parent 4685 0 R +/Kids [3920 0 R 3937 0 R 3945 0 R 3950 0 R 3963 0 R 3967 0 R] +>> endobj +3975 0 obj << +/Type /Pages +/Count 6 +/Parent 4686 0 R +/Kids [3972 0 R 3977 0 R 3981 0 R 3985 0 R 3990 0 R 3996 0 R] +>> endobj +4012 0 obj << +/Type /Pages +/Count 6 +/Parent 4686 0 R +/Kids [4007 0 R 4014 0 R 4019 0 R 4026 0 R 4031 0 R 4037 0 R] +>> endobj +4045 0 obj << +/Type /Pages +/Count 6 +/Parent 4686 0 R +/Kids [4042 0 R 4047 0 R 4052 0 R 4057 0 R 4064 0 R 4069 0 R] +>> endobj +4078 0 obj << +/Type /Pages +/Count 6 +/Parent 4686 0 R +/Kids [4075 0 R 4080 0 R 4084 0 R 4089 0 R 4098 0 R 4111 0 R] +>> endobj +4128 0 obj << +/Type /Pages +/Count 6 +/Parent 4686 0 R +/Kids [4122 0 R 4130 0 R 4134 0 R 4138 0 R 4142 0 R 4146 0 R] +>> endobj +4154 0 obj << +/Type /Pages +/Count 6 +/Parent 4686 0 R +/Kids [4150 0 R 4156 0 R 4162 0 R 4167 0 R 4171 0 R 4175 0 R] +>> endobj +4182 0 obj << +/Type /Pages +/Count 6 +/Parent 4687 0 R +/Kids [4179 0 R 4184 0 R 4188 0 R 4193 0 R 4197 0 R 4205 0 R] +>> endobj +4213 0 obj << +/Type /Pages +/Count 6 +/Parent 4687 0 R +/Kids [4209 0 R 4215 0 R 4220 0 R 4231 0 R 4243 0 R 4250 0 R] +>> endobj +4261 0 obj << +/Type /Pages +/Count 6 +/Parent 4687 0 R +/Kids [4255 0 R 4263 0 R 4267 0 R 4271 0 R 4275 0 R 4279 0 R] +>> endobj +4288 0 obj << +/Type /Pages +/Count 6 +/Parent 4687 0 R +/Kids [4283 0 R 4290 0 R 4302 0 R 4325 0 R 4348 0 R 4371 0 R] +>> endobj +4416 0 obj << +/Type /Pages +/Count 6 +/Parent 4687 0 R +/Kids [4394 0 R 4418 0 R 4440 0 R 4458 0 R 4475 0 R 4496 0 R] +>> endobj +4540 0 obj << +/Type /Pages +/Count 6 +/Parent 4687 0 R +/Kids [4519 0 R 4542 0 R 4564 0 R 4580 0 R 4584 0 R 4589 0 R] +>> endobj +4597 0 obj << +/Type /Pages +/Count 6 +/Parent 4688 0 R +/Kids [4594 0 R 4599 0 R 4603 0 R 4607 0 R 4611 0 R 4616 0 R] +>> endobj +4623 0 obj << +/Type /Pages +/Count 6 +/Parent 4688 0 R +/Kids [4620 0 R 4625 0 R 4629 0 R 4633 0 R 4637 0 R 4647 0 R] +>> endobj +4654 0 obj << +/Type /Pages +/Count 3 +/Parent 4688 0 R +/Kids [4651 0 R 4656 0 R 4660 0 R] +>> endobj +4678 0 obj << +/Type /Pages +/Count 36 +/Parent 4689 0 R +/Kids [1673 0 R 1796 0 R 2016 0 R 2176 0 R 2222 0 R 2264 0 R] +>> endobj +4679 0 obj << +/Type /Pages +/Count 36 +/Parent 4689 0 R +/Kids [2293 0 R 2323 0 R 2364 0 R 2422 0 R 2463 0 R 2675 0 R] +>> endobj +4680 0 obj << +/Type /Pages +/Count 36 +/Parent 4689 0 R +/Kids [2718 0 R 2754 0 R 2798 0 R 2836 0 R 2878 0 R 2912 0 R] +>> endobj +4681 0 obj << +/Type /Pages +/Count 36 +/Parent 4689 0 R +/Kids [2953 0 R 2992 0 R 3051 0 R 3089 0 R 3125 0 R 3161 0 R] +>> endobj +4682 0 obj << +/Type /Pages +/Count 36 +/Parent 4689 0 R +/Kids [3212 0 R 3239 0 R 3264 0 R 3291 0 R 3327 0 R 3363 0 R] +>> endobj +4683 0 obj << +/Type /Pages +/Count 36 +/Parent 4689 0 R +/Kids [3405 0 R 3431 0 R 3458 0 R 3490 0 R 3528 0 R 3558 0 R] +>> endobj +4684 0 obj << +/Type /Pages +/Count 36 +/Parent 4690 0 R +/Kids [3596 0 R 3632 0 R 3665 0 R 3690 0 R 3717 0 R 3746 0 R] +>> endobj +4685 0 obj << +/Type /Pages +/Count 36 +/Parent 4690 0 R +/Kids [3781 0 R 3807 0 R 3832 0 R 3864 0 R 3893 0 R 3935 0 R] +>> endobj +4686 0 obj << +/Type /Pages +/Count 36 +/Parent 4690 0 R +/Kids [3975 0 R 4012 0 R 4045 0 R 4078 0 R 4128 0 R 4154 0 R] +>> endobj +4687 0 obj << +/Type /Pages +/Count 36 +/Parent 4690 0 R +/Kids [4182 0 R 4213 0 R 4261 0 R 4288 0 R 4416 0 R 4540 0 R] +>> endobj +4688 0 obj << +/Type /Pages +/Count 15 +/Parent 4690 0 R +/Kids [4597 0 R 4623 0 R 4654 0 R] +>> endobj +4689 0 obj << +/Type /Pages +/Count 216 +/Parent 4691 0 R +/Kids [4678 0 R 4679 0 R 4680 0 R 4681 0 R 4682 0 R 4683 0 R] +>> endobj +4690 0 obj << +/Type /Pages +/Count 159 +/Parent 4691 0 R +/Kids [4684 0 R 4685 0 R 4686 0 R 4687 0 R 4688 0 R] +>> endobj +4691 0 obj << +/Type /Pages +/Count 375 +/Kids [4689 0 R 4690 0 R] +>> endobj +4692 0 obj << +/Type /Outlines +/First 7 0 R +/Last 1627 0 R +/Count 42 +>> endobj +1663 0 obj << +/Title 1664 0 R +/A 1661 0 R +/Parent 1627 0 R +/Prev 1659 0 R +>> endobj +1659 0 obj << +/Title 1660 0 R +/A 1657 0 R +/Parent 1627 0 R +/Prev 1655 0 R +/Next 1663 0 R +>> endobj +1655 0 obj << +/Title 1656 0 R +/A 1653 0 R +/Parent 1627 0 R +/Prev 1651 0 R +/Next 1659 0 R +>> endobj +1651 0 obj << +/Title 1652 0 R +/A 1649 0 R +/Parent 1627 0 R +/Prev 1647 0 R +/Next 1655 0 R +>> endobj +1647 0 obj << +/Title 1648 0 R +/A 1645 0 R +/Parent 1627 0 R +/Prev 1643 0 R +/Next 1651 0 R +>> endobj +1643 0 obj << +/Title 1644 0 R +/A 1641 0 R +/Parent 1627 0 R +/Prev 1639 0 R +/Next 1647 0 R +>> endobj +1639 0 obj << +/Title 1640 0 R +/A 1637 0 R +/Parent 1627 0 R +/Prev 1635 0 R +/Next 1643 0 R +>> endobj +1635 0 obj << +/Title 1636 0 R +/A 1633 0 R +/Parent 1627 0 R +/Prev 1631 0 R +/Next 1639 0 R +>> endobj +1631 0 obj << +/Title 1632 0 R +/A 1629 0 R +/Parent 1627 0 R +/Next 1635 0 R +>> endobj +1627 0 obj << +/Title 1628 0 R +/A 1625 0 R +/Parent 4692 0 R +/Prev 1551 0 R +/First 1631 0 R +/Last 1663 0 R +/Count -9 +>> endobj +1623 0 obj << +/Title 1624 0 R +/A 1621 0 R +/Parent 1551 0 R +/Prev 1619 0 R +>> endobj +1619 0 obj << +/Title 1620 0 R +/A 1617 0 R +/Parent 1551 0 R +/Prev 1615 0 R +/Next 1623 0 R +>> endobj +1615 0 obj << +/Title 1616 0 R +/A 1613 0 R +/Parent 1551 0 R +/Prev 1611 0 R +/Next 1619 0 R +>> endobj +1611 0 obj << +/Title 1612 0 R +/A 1609 0 R +/Parent 1551 0 R +/Prev 1607 0 R +/Next 1615 0 R +>> endobj +1607 0 obj << +/Title 1608 0 R +/A 1605 0 R +/Parent 1551 0 R +/Prev 1603 0 R +/Next 1611 0 R +>> endobj +1603 0 obj << +/Title 1604 0 R +/A 1601 0 R +/Parent 1551 0 R +/Prev 1599 0 R +/Next 1607 0 R +>> endobj +1599 0 obj << +/Title 1600 0 R +/A 1597 0 R +/Parent 1551 0 R +/Prev 1595 0 R +/Next 1603 0 R +>> endobj +1595 0 obj << +/Title 1596 0 R +/A 1593 0 R +/Parent 1551 0 R +/Prev 1591 0 R +/Next 1599 0 R +>> endobj +1591 0 obj << +/Title 1592 0 R +/A 1589 0 R +/Parent 1551 0 R +/Prev 1587 0 R +/Next 1595 0 R +>> endobj +1587 0 obj << +/Title 1588 0 R +/A 1585 0 R +/Parent 1551 0 R +/Prev 1583 0 R +/Next 1591 0 R +>> endobj +1583 0 obj << +/Title 1584 0 R +/A 1581 0 R +/Parent 1551 0 R +/Prev 1579 0 R +/Next 1587 0 R +>> endobj +1579 0 obj << +/Title 1580 0 R +/A 1577 0 R +/Parent 1551 0 R +/Prev 1575 0 R +/Next 1583 0 R +>> endobj +1575 0 obj << +/Title 1576 0 R +/A 1573 0 R +/Parent 1551 0 R +/Prev 1571 0 R +/Next 1579 0 R +>> endobj +1571 0 obj << +/Title 1572 0 R +/A 1569 0 R +/Parent 1551 0 R +/Prev 1567 0 R +/Next 1575 0 R +>> endobj +1567 0 obj << +/Title 1568 0 R +/A 1565 0 R +/Parent 1551 0 R +/Prev 1563 0 R +/Next 1571 0 R +>> endobj +1563 0 obj << +/Title 1564 0 R +/A 1561 0 R +/Parent 1551 0 R +/Prev 1559 0 R +/Next 1567 0 R +>> endobj +1559 0 obj << +/Title 1560 0 R +/A 1557 0 R +/Parent 1551 0 R +/Prev 1555 0 R +/Next 1563 0 R +>> endobj +1555 0 obj << +/Title 1556 0 R +/A 1553 0 R +/Parent 1551 0 R +/Next 1559 0 R +>> endobj +1551 0 obj << +/Title 1552 0 R +/A 1549 0 R +/Parent 4692 0 R +/Prev 1515 0 R +/Next 1627 0 R +/First 1555 0 R +/Last 1623 0 R +/Count -18 +>> endobj +1547 0 obj << +/Title 1548 0 R +/A 1545 0 R +/Parent 1515 0 R +/Prev 1543 0 R +>> endobj +1543 0 obj << +/Title 1544 0 R +/A 1541 0 R +/Parent 1515 0 R +/Prev 1531 0 R +/Next 1547 0 R +>> endobj +1539 0 obj << +/Title 1540 0 R +/A 1537 0 R +/Parent 1531 0 R +/Prev 1535 0 R +>> endobj +1535 0 obj << +/Title 1536 0 R +/A 1533 0 R +/Parent 1531 0 R +/Next 1539 0 R +>> endobj +1531 0 obj << +/Title 1532 0 R +/A 1529 0 R +/Parent 1515 0 R +/Prev 1519 0 R +/Next 1543 0 R +/First 1535 0 R +/Last 1539 0 R +/Count -2 +>> endobj +1527 0 obj << +/Title 1528 0 R +/A 1525 0 R +/Parent 1519 0 R +/Prev 1523 0 R +>> endobj +1523 0 obj << +/Title 1524 0 R +/A 1521 0 R +/Parent 1519 0 R +/Next 1527 0 R +>> endobj +1519 0 obj << +/Title 1520 0 R +/A 1517 0 R +/Parent 1515 0 R +/Next 1531 0 R +/First 1523 0 R +/Last 1527 0 R +/Count -2 +>> endobj +1515 0 obj << +/Title 1516 0 R +/A 1513 0 R +/Parent 4692 0 R +/Prev 1511 0 R +/Next 1551 0 R +/First 1519 0 R +/Last 1547 0 R +/Count -4 +>> endobj +1511 0 obj << +/Title 1512 0 R +/A 1509 0 R +/Parent 4692 0 R +/Prev 1507 0 R +/Next 1515 0 R +>> endobj +1507 0 obj << +/Title 1508 0 R +/A 1505 0 R +/Parent 4692 0 R +/Prev 1483 0 R +/Next 1511 0 R +>> endobj +1503 0 obj << +/Title 1504 0 R +/A 1501 0 R +/Parent 1491 0 R +/Prev 1499 0 R +>> endobj +1499 0 obj << +/Title 1500 0 R +/A 1497 0 R +/Parent 1491 0 R +/Prev 1495 0 R +/Next 1503 0 R +>> endobj +1495 0 obj << +/Title 1496 0 R +/A 1493 0 R +/Parent 1491 0 R +/Next 1499 0 R +>> endobj +1491 0 obj << +/Title 1492 0 R +/A 1489 0 R +/Parent 1483 0 R +/Prev 1487 0 R +/First 1495 0 R +/Last 1503 0 R +/Count -3 +>> endobj +1487 0 obj << +/Title 1488 0 R +/A 1485 0 R +/Parent 1483 0 R +/Next 1491 0 R +>> endobj +1483 0 obj << +/Title 1484 0 R +/A 1481 0 R +/Parent 4692 0 R +/Prev 1419 0 R +/Next 1507 0 R +/First 1487 0 R +/Last 1491 0 R +/Count -2 +>> endobj +1479 0 obj << +/Title 1480 0 R +/A 1477 0 R +/Parent 1419 0 R +/Prev 1431 0 R +>> endobj +1475 0 obj << +/Title 1476 0 R +/A 1473 0 R +/Parent 1431 0 R +/Prev 1471 0 R +>> endobj +1471 0 obj << +/Title 1472 0 R +/A 1469 0 R +/Parent 1431 0 R +/Prev 1467 0 R +/Next 1475 0 R +>> endobj +1467 0 obj << +/Title 1468 0 R +/A 1465 0 R +/Parent 1431 0 R +/Prev 1463 0 R +/Next 1471 0 R +>> endobj +1463 0 obj << +/Title 1464 0 R +/A 1461 0 R +/Parent 1431 0 R +/Prev 1459 0 R +/Next 1467 0 R +>> endobj +1459 0 obj << +/Title 1460 0 R +/A 1457 0 R +/Parent 1431 0 R +/Prev 1455 0 R +/Next 1463 0 R +>> endobj +1455 0 obj << +/Title 1456 0 R +/A 1453 0 R +/Parent 1431 0 R +/Prev 1451 0 R +/Next 1459 0 R +>> endobj +1451 0 obj << +/Title 1452 0 R +/A 1449 0 R +/Parent 1431 0 R +/Prev 1447 0 R +/Next 1455 0 R +>> endobj +1447 0 obj << +/Title 1448 0 R +/A 1445 0 R +/Parent 1431 0 R +/Prev 1443 0 R +/Next 1451 0 R +>> endobj +1443 0 obj << +/Title 1444 0 R +/A 1441 0 R +/Parent 1431 0 R +/Prev 1439 0 R +/Next 1447 0 R +>> endobj +1439 0 obj << +/Title 1440 0 R +/A 1437 0 R +/Parent 1431 0 R +/Prev 1435 0 R +/Next 1443 0 R +>> endobj +1435 0 obj << +/Title 1436 0 R +/A 1433 0 R +/Parent 1431 0 R +/Next 1439 0 R +>> endobj +1431 0 obj << +/Title 1432 0 R +/A 1429 0 R +/Parent 1419 0 R +/Prev 1427 0 R +/Next 1479 0 R +/First 1435 0 R +/Last 1475 0 R +/Count -11 +>> endobj +1427 0 obj << +/Title 1428 0 R +/A 1425 0 R +/Parent 1419 0 R +/Prev 1423 0 R +/Next 1431 0 R +>> endobj +1423 0 obj << +/Title 1424 0 R +/A 1421 0 R +/Parent 1419 0 R +/Next 1427 0 R +>> endobj +1419 0 obj << +/Title 1420 0 R +/A 1417 0 R +/Parent 4692 0 R +/Prev 1271 0 R +/Next 1483 0 R +/First 1423 0 R +/Last 1479 0 R +/Count -4 +>> endobj +1415 0 obj << +/Title 1416 0 R +/A 1413 0 R +/Parent 1271 0 R +/Prev 1411 0 R +>> endobj +1411 0 obj << +/Title 1412 0 R +/A 1409 0 R +/Parent 1271 0 R +/Prev 1407 0 R +/Next 1415 0 R +>> endobj +1407 0 obj << +/Title 1408 0 R +/A 1405 0 R +/Parent 1271 0 R +/Prev 1403 0 R +/Next 1411 0 R +>> endobj +1403 0 obj << +/Title 1404 0 R +/A 1401 0 R +/Parent 1271 0 R +/Prev 1399 0 R +/Next 1407 0 R +>> endobj +1399 0 obj << +/Title 1400 0 R +/A 1397 0 R +/Parent 1271 0 R +/Prev 1395 0 R +/Next 1403 0 R +>> endobj +1395 0 obj << +/Title 1396 0 R +/A 1393 0 R +/Parent 1271 0 R +/Prev 1391 0 R +/Next 1399 0 R +>> endobj +1391 0 obj << +/Title 1392 0 R +/A 1389 0 R +/Parent 1271 0 R +/Prev 1379 0 R +/Next 1395 0 R +>> endobj +1387 0 obj << +/Title 1388 0 R +/A 1385 0 R +/Parent 1379 0 R +/Prev 1383 0 R +>> endobj +1383 0 obj << +/Title 1384 0 R +/A 1381 0 R +/Parent 1379 0 R +/Next 1387 0 R +>> endobj +1379 0 obj << +/Title 1380 0 R +/A 1377 0 R +/Parent 1271 0 R +/Prev 1347 0 R +/Next 1391 0 R +/First 1383 0 R +/Last 1387 0 R +/Count -2 +>> endobj +1375 0 obj << +/Title 1376 0 R +/A 1373 0 R +/Parent 1347 0 R +/Prev 1371 0 R +>> endobj +1371 0 obj << +/Title 1372 0 R +/A 1369 0 R +/Parent 1347 0 R +/Prev 1367 0 R +/Next 1375 0 R +>> endobj +1367 0 obj << +/Title 1368 0 R +/A 1365 0 R +/Parent 1347 0 R +/Prev 1363 0 R +/Next 1371 0 R +>> endobj +1363 0 obj << +/Title 1364 0 R +/A 1361 0 R +/Parent 1347 0 R +/Prev 1359 0 R +/Next 1367 0 R +>> endobj +1359 0 obj << +/Title 1360 0 R +/A 1357 0 R +/Parent 1347 0 R +/Prev 1355 0 R +/Next 1363 0 R +>> endobj +1355 0 obj << +/Title 1356 0 R +/A 1353 0 R +/Parent 1347 0 R +/Prev 1351 0 R +/Next 1359 0 R +>> endobj +1351 0 obj << +/Title 1352 0 R +/A 1349 0 R +/Parent 1347 0 R +/Next 1355 0 R +>> endobj +1347 0 obj << +/Title 1348 0 R +/A 1345 0 R +/Parent 1271 0 R +/Prev 1343 0 R +/Next 1379 0 R +/First 1351 0 R +/Last 1375 0 R +/Count -7 +>> endobj +1343 0 obj << +/Title 1344 0 R +/A 1341 0 R +/Parent 1271 0 R +/Prev 1339 0 R +/Next 1347 0 R +>> endobj +1339 0 obj << +/Title 1340 0 R +/A 1337 0 R +/Parent 1271 0 R +/Prev 1331 0 R +/Next 1343 0 R +>> endobj +1335 0 obj << +/Title 1336 0 R +/A 1333 0 R +/Parent 1331 0 R +>> endobj +1331 0 obj << +/Title 1332 0 R +/A 1329 0 R +/Parent 1271 0 R +/Prev 1275 0 R +/Next 1339 0 R +/First 1335 0 R +/Last 1335 0 R +/Count -1 +>> endobj +1327 0 obj << +/Title 1328 0 R +/A 1325 0 R +/Parent 1275 0 R +/Prev 1323 0 R +>> endobj +1323 0 obj << +/Title 1324 0 R +/A 1321 0 R +/Parent 1275 0 R +/Prev 1319 0 R +/Next 1327 0 R +>> endobj +1319 0 obj << +/Title 1320 0 R +/A 1317 0 R +/Parent 1275 0 R +/Prev 1315 0 R +/Next 1323 0 R +>> endobj +1315 0 obj << +/Title 1316 0 R +/A 1313 0 R +/Parent 1275 0 R +/Prev 1311 0 R +/Next 1319 0 R +>> endobj +1311 0 obj << +/Title 1312 0 R +/A 1309 0 R +/Parent 1275 0 R +/Prev 1307 0 R +/Next 1315 0 R +>> endobj +1307 0 obj << +/Title 1308 0 R +/A 1305 0 R +/Parent 1275 0 R +/Prev 1303 0 R +/Next 1311 0 R +>> endobj +1303 0 obj << +/Title 1304 0 R +/A 1301 0 R +/Parent 1275 0 R +/Prev 1299 0 R +/Next 1307 0 R +>> endobj +1299 0 obj << +/Title 1300 0 R +/A 1297 0 R +/Parent 1275 0 R +/Prev 1295 0 R +/Next 1303 0 R +>> endobj +1295 0 obj << +/Title 1296 0 R +/A 1293 0 R +/Parent 1275 0 R +/Prev 1291 0 R +/Next 1299 0 R +>> endobj +1291 0 obj << +/Title 1292 0 R +/A 1289 0 R +/Parent 1275 0 R +/Prev 1287 0 R +/Next 1295 0 R +>> endobj +1287 0 obj << +/Title 1288 0 R +/A 1285 0 R +/Parent 1275 0 R +/Prev 1283 0 R +/Next 1291 0 R +>> endobj +1283 0 obj << +/Title 1284 0 R +/A 1281 0 R +/Parent 1275 0 R +/Prev 1279 0 R +/Next 1287 0 R +>> endobj +1279 0 obj << +/Title 1280 0 R +/A 1277 0 R +/Parent 1275 0 R +/Next 1283 0 R +>> endobj +1275 0 obj << +/Title 1276 0 R +/A 1273 0 R +/Parent 1271 0 R +/Next 1331 0 R +/First 1279 0 R +/Last 1327 0 R +/Count -13 +>> endobj +1271 0 obj << +/Title 1272 0 R +/A 1269 0 R +/Parent 4692 0 R +/Prev 1267 0 R +/Next 1419 0 R +/First 1275 0 R +/Last 1415 0 R +/Count -13 +>> endobj +1267 0 obj << +/Title 1268 0 R +/A 1265 0 R +/Parent 4692 0 R +/Prev 1263 0 R +/Next 1271 0 R +>> endobj +1263 0 obj << +/Title 1264 0 R +/A 1261 0 R +/Parent 4692 0 R +/Prev 1227 0 R +/Next 1267 0 R +>> endobj +1259 0 obj << +/Title 1260 0 R +/A 1257 0 R +/Parent 1227 0 R +/Prev 1255 0 R +>> endobj +1255 0 obj << +/Title 1256 0 R +/A 1253 0 R +/Parent 1227 0 R +/Prev 1251 0 R +/Next 1259 0 R +>> endobj +1251 0 obj << +/Title 1252 0 R +/A 1249 0 R +/Parent 1227 0 R +/Prev 1247 0 R +/Next 1255 0 R +>> endobj +1247 0 obj << +/Title 1248 0 R +/A 1245 0 R +/Parent 1227 0 R +/Prev 1243 0 R +/Next 1251 0 R +>> endobj +1243 0 obj << +/Title 1244 0 R +/A 1241 0 R +/Parent 1227 0 R +/Prev 1239 0 R +/Next 1247 0 R +>> endobj +1239 0 obj << +/Title 1240 0 R +/A 1237 0 R +/Parent 1227 0 R +/Prev 1235 0 R +/Next 1243 0 R +>> endobj +1235 0 obj << +/Title 1236 0 R +/A 1233 0 R +/Parent 1227 0 R +/Prev 1231 0 R +/Next 1239 0 R +>> endobj +1231 0 obj << +/Title 1232 0 R +/A 1229 0 R +/Parent 1227 0 R +/Next 1235 0 R +>> endobj +1227 0 obj << +/Title 1228 0 R +/A 1225 0 R +/Parent 4692 0 R +/Prev 1095 0 R +/Next 1263 0 R +/First 1231 0 R +/Last 1259 0 R +/Count -8 +>> endobj +1223 0 obj << +/Title 1224 0 R +/A 1221 0 R +/Parent 1095 0 R +/Prev 1219 0 R +>> endobj +1219 0 obj << +/Title 1220 0 R +/A 1217 0 R +/Parent 1095 0 R +/Prev 1215 0 R +/Next 1223 0 R +>> endobj +1215 0 obj << +/Title 1216 0 R +/A 1213 0 R +/Parent 1095 0 R +/Prev 1211 0 R +/Next 1219 0 R +>> endobj +1211 0 obj << +/Title 1212 0 R +/A 1209 0 R +/Parent 1095 0 R +/Prev 1207 0 R +/Next 1215 0 R +>> endobj +1207 0 obj << +/Title 1208 0 R +/A 1205 0 R +/Parent 1095 0 R +/Prev 1203 0 R +/Next 1211 0 R +>> endobj +1203 0 obj << +/Title 1204 0 R +/A 1201 0 R +/Parent 1095 0 R +/Prev 1199 0 R +/Next 1207 0 R +>> endobj +1199 0 obj << +/Title 1200 0 R +/A 1197 0 R +/Parent 1095 0 R +/Prev 1195 0 R +/Next 1203 0 R +>> endobj +1195 0 obj << +/Title 1196 0 R +/A 1193 0 R +/Parent 1095 0 R +/Prev 1191 0 R +/Next 1199 0 R +>> endobj +1191 0 obj << +/Title 1192 0 R +/A 1189 0 R +/Parent 1095 0 R +/Prev 1187 0 R +/Next 1195 0 R +>> endobj +1187 0 obj << +/Title 1188 0 R +/A 1185 0 R +/Parent 1095 0 R +/Prev 1183 0 R +/Next 1191 0 R +>> endobj +1183 0 obj << +/Title 1184 0 R +/A 1181 0 R +/Parent 1095 0 R +/Prev 1179 0 R +/Next 1187 0 R +>> endobj +1179 0 obj << +/Title 1180 0 R +/A 1177 0 R +/Parent 1095 0 R +/Prev 1175 0 R +/Next 1183 0 R +>> endobj +1175 0 obj << +/Title 1176 0 R +/A 1173 0 R +/Parent 1095 0 R +/Prev 1171 0 R +/Next 1179 0 R +>> endobj +1171 0 obj << +/Title 1172 0 R +/A 1169 0 R +/Parent 1095 0 R +/Prev 1167 0 R +/Next 1175 0 R +>> endobj +1167 0 obj << +/Title 1168 0 R +/A 1165 0 R +/Parent 1095 0 R +/Prev 1163 0 R +/Next 1171 0 R +>> endobj +1163 0 obj << +/Title 1164 0 R +/A 1161 0 R +/Parent 1095 0 R +/Prev 1159 0 R +/Next 1167 0 R +>> endobj +1159 0 obj << +/Title 1160 0 R +/A 1157 0 R +/Parent 1095 0 R +/Prev 1155 0 R +/Next 1163 0 R +>> endobj +1155 0 obj << +/Title 1156 0 R +/A 1153 0 R +/Parent 1095 0 R +/Prev 1151 0 R +/Next 1159 0 R +>> endobj +1151 0 obj << +/Title 1152 0 R +/A 1149 0 R +/Parent 1095 0 R +/Prev 1147 0 R +/Next 1155 0 R +>> endobj +1147 0 obj << +/Title 1148 0 R +/A 1145 0 R +/Parent 1095 0 R +/Prev 1143 0 R +/Next 1151 0 R +>> endobj +1143 0 obj << +/Title 1144 0 R +/A 1141 0 R +/Parent 1095 0 R +/Prev 1139 0 R +/Next 1147 0 R +>> endobj +1139 0 obj << +/Title 1140 0 R +/A 1137 0 R +/Parent 1095 0 R +/Prev 1135 0 R +/Next 1143 0 R +>> endobj +1135 0 obj << +/Title 1136 0 R +/A 1133 0 R +/Parent 1095 0 R +/Prev 1131 0 R +/Next 1139 0 R +>> endobj +1131 0 obj << +/Title 1132 0 R +/A 1129 0 R +/Parent 1095 0 R +/Prev 1127 0 R +/Next 1135 0 R +>> endobj +1127 0 obj << +/Title 1128 0 R +/A 1125 0 R +/Parent 1095 0 R +/Prev 1123 0 R +/Next 1131 0 R +>> endobj +1123 0 obj << +/Title 1124 0 R +/A 1121 0 R +/Parent 1095 0 R +/Prev 1099 0 R +/Next 1127 0 R +>> endobj +1119 0 obj << +/Title 1120 0 R +/A 1117 0 R +/Parent 1099 0 R +/Prev 1115 0 R +>> endobj +1115 0 obj << +/Title 1116 0 R +/A 1113 0 R +/Parent 1099 0 R +/Prev 1111 0 R +/Next 1119 0 R +>> endobj +1111 0 obj << +/Title 1112 0 R +/A 1109 0 R +/Parent 1099 0 R +/Prev 1107 0 R +/Next 1115 0 R +>> endobj +1107 0 obj << +/Title 1108 0 R +/A 1105 0 R +/Parent 1099 0 R +/Prev 1103 0 R +/Next 1111 0 R +>> endobj +1103 0 obj << +/Title 1104 0 R +/A 1101 0 R +/Parent 1099 0 R +/Next 1107 0 R +>> endobj +1099 0 obj << +/Title 1100 0 R +/A 1097 0 R +/Parent 1095 0 R +/Next 1123 0 R +/First 1103 0 R +/Last 1119 0 R +/Count -5 +>> endobj +1095 0 obj << +/Title 1096 0 R +/A 1093 0 R +/Parent 4692 0 R +/Prev 1067 0 R +/Next 1227 0 R +/First 1099 0 R +/Last 1223 0 R +/Count -27 +>> endobj +1091 0 obj << +/Title 1092 0 R +/A 1089 0 R +/Parent 1067 0 R +/Prev 1087 0 R +>> endobj +1087 0 obj << +/Title 1088 0 R +/A 1085 0 R +/Parent 1067 0 R +/Prev 1083 0 R +/Next 1091 0 R +>> endobj +1083 0 obj << +/Title 1084 0 R +/A 1081 0 R +/Parent 1067 0 R +/Prev 1079 0 R +/Next 1087 0 R +>> endobj +1079 0 obj << +/Title 1080 0 R +/A 1077 0 R +/Parent 1067 0 R +/Prev 1075 0 R +/Next 1083 0 R +>> endobj +1075 0 obj << +/Title 1076 0 R +/A 1073 0 R +/Parent 1067 0 R +/Prev 1071 0 R +/Next 1079 0 R +>> endobj +1071 0 obj << +/Title 1072 0 R +/A 1069 0 R +/Parent 1067 0 R +/Next 1075 0 R +>> endobj +1067 0 obj << +/Title 1068 0 R +/A 1065 0 R +/Parent 4692 0 R +/Prev 1051 0 R +/Next 1095 0 R +/First 1071 0 R +/Last 1091 0 R +/Count -6 +>> endobj +1063 0 obj << +/Title 1064 0 R +/A 1061 0 R +/Parent 1051 0 R +/Prev 1059 0 R +>> endobj +1059 0 obj << +/Title 1060 0 R +/A 1057 0 R +/Parent 1051 0 R +/Prev 1055 0 R +/Next 1063 0 R +>> endobj +1055 0 obj << +/Title 1056 0 R +/A 1053 0 R +/Parent 1051 0 R +/Next 1059 0 R +>> endobj +1051 0 obj << +/Title 1052 0 R +/A 1049 0 R +/Parent 4692 0 R +/Prev 1039 0 R +/Next 1067 0 R +/First 1055 0 R +/Last 1063 0 R +/Count -3 +>> endobj +1047 0 obj << +/Title 1048 0 R +/A 1045 0 R +/Parent 1043 0 R +>> endobj +1043 0 obj << +/Title 1044 0 R +/A 1041 0 R +/Parent 1039 0 R +/First 1047 0 R +/Last 1047 0 R +/Count -1 +>> endobj +1039 0 obj << +/Title 1040 0 R +/A 1037 0 R +/Parent 4692 0 R +/Prev 1019 0 R +/Next 1051 0 R +/First 1043 0 R +/Last 1043 0 R +/Count -1 +>> endobj +1035 0 obj << +/Title 1036 0 R +/A 1033 0 R +/Parent 1019 0 R +/Prev 1031 0 R +>> endobj +1031 0 obj << +/Title 1032 0 R +/A 1029 0 R +/Parent 1019 0 R +/Prev 1027 0 R +/Next 1035 0 R +>> endobj +1027 0 obj << +/Title 1028 0 R +/A 1025 0 R +/Parent 1019 0 R +/Prev 1023 0 R +/Next 1031 0 R +>> endobj +1023 0 obj << +/Title 1024 0 R +/A 1021 0 R +/Parent 1019 0 R +/Next 1027 0 R +>> endobj +1019 0 obj << +/Title 1020 0 R +/A 1017 0 R +/Parent 4692 0 R +/Prev 979 0 R +/Next 1039 0 R +/First 1023 0 R +/Last 1035 0 R +/Count -4 +>> endobj +1015 0 obj << +/Title 1016 0 R +/A 1013 0 R +/Parent 979 0 R +/Prev 1011 0 R +>> endobj +1011 0 obj << +/Title 1012 0 R +/A 1009 0 R +/Parent 979 0 R +/Prev 1007 0 R +/Next 1015 0 R +>> endobj +1007 0 obj << +/Title 1008 0 R +/A 1005 0 R +/Parent 979 0 R +/Prev 1003 0 R +/Next 1011 0 R +>> endobj +1003 0 obj << +/Title 1004 0 R +/A 1001 0 R +/Parent 979 0 R +/Prev 999 0 R +/Next 1007 0 R +>> endobj +999 0 obj << +/Title 1000 0 R +/A 997 0 R +/Parent 979 0 R +/Prev 995 0 R +/Next 1003 0 R +>> endobj +995 0 obj << +/Title 996 0 R +/A 993 0 R +/Parent 979 0 R +/Prev 991 0 R +/Next 999 0 R +>> endobj +991 0 obj << +/Title 992 0 R +/A 989 0 R +/Parent 979 0 R +/Prev 987 0 R +/Next 995 0 R +>> endobj +987 0 obj << +/Title 988 0 R +/A 985 0 R +/Parent 979 0 R +/Prev 983 0 R +/Next 991 0 R +>> endobj +983 0 obj << +/Title 984 0 R +/A 981 0 R +/Parent 979 0 R +/Next 987 0 R +>> endobj +979 0 obj << +/Title 980 0 R +/A 977 0 R +/Parent 4692 0 R +/Prev 955 0 R +/Next 1019 0 R +/First 983 0 R +/Last 1015 0 R +/Count -9 +>> endobj +975 0 obj << +/Title 976 0 R +/A 973 0 R +/Parent 959 0 R +/Prev 971 0 R +>> endobj +971 0 obj << +/Title 972 0 R +/A 969 0 R +/Parent 959 0 R +/Prev 967 0 R +/Next 975 0 R +>> endobj +967 0 obj << +/Title 968 0 R +/A 965 0 R +/Parent 959 0 R +/Prev 963 0 R +/Next 971 0 R +>> endobj +963 0 obj << +/Title 964 0 R +/A 961 0 R +/Parent 959 0 R +/Next 967 0 R +>> endobj +959 0 obj << +/Title 960 0 R +/A 957 0 R +/Parent 955 0 R +/First 963 0 R +/Last 975 0 R +/Count -4 +>> endobj +955 0 obj << +/Title 956 0 R +/A 953 0 R +/Parent 4692 0 R +/Prev 935 0 R +/Next 979 0 R +/First 959 0 R +/Last 959 0 R +/Count -1 +>> endobj +951 0 obj << +/Title 952 0 R +/A 949 0 R +/Parent 939 0 R +/Prev 947 0 R +>> endobj +947 0 obj << +/Title 948 0 R +/A 945 0 R +/Parent 939 0 R +/Prev 943 0 R +/Next 951 0 R +>> endobj +943 0 obj << +/Title 944 0 R +/A 941 0 R +/Parent 939 0 R +/Next 947 0 R +>> endobj +939 0 obj << +/Title 940 0 R +/A 937 0 R +/Parent 935 0 R +/First 943 0 R +/Last 951 0 R +/Count -3 +>> endobj +935 0 obj << +/Title 936 0 R +/A 933 0 R +/Parent 4692 0 R +/Prev 871 0 R +/Next 955 0 R +/First 939 0 R +/Last 939 0 R +/Count -1 +>> endobj +931 0 obj << +/Title 932 0 R +/A 929 0 R +/Parent 915 0 R +/Prev 927 0 R +>> endobj +927 0 obj << +/Title 928 0 R +/A 925 0 R +/Parent 915 0 R +/Prev 923 0 R +/Next 931 0 R +>> endobj +923 0 obj << +/Title 924 0 R +/A 921 0 R +/Parent 915 0 R +/Prev 919 0 R +/Next 927 0 R +>> endobj +919 0 obj << +/Title 920 0 R +/A 917 0 R +/Parent 915 0 R +/Next 923 0 R +>> endobj +915 0 obj << +/Title 916 0 R +/A 913 0 R +/Parent 871 0 R +/Prev 911 0 R +/First 919 0 R +/Last 931 0 R +/Count -4 +>> endobj +911 0 obj << +/Title 912 0 R +/A 909 0 R +/Parent 871 0 R +/Prev 907 0 R +/Next 915 0 R +>> endobj +907 0 obj << +/Title 908 0 R +/A 905 0 R +/Parent 871 0 R +/Prev 903 0 R +/Next 911 0 R +>> endobj +903 0 obj << +/Title 904 0 R +/A 901 0 R +/Parent 871 0 R +/Prev 887 0 R +/Next 907 0 R +>> endobj +899 0 obj << +/Title 900 0 R +/A 897 0 R +/Parent 887 0 R +/Prev 895 0 R +>> endobj +895 0 obj << +/Title 896 0 R +/A 893 0 R +/Parent 887 0 R +/Prev 891 0 R +/Next 899 0 R +>> endobj +891 0 obj << +/Title 892 0 R +/A 889 0 R +/Parent 887 0 R +/Next 895 0 R +>> endobj +887 0 obj << +/Title 888 0 R +/A 885 0 R +/Parent 871 0 R +/Prev 875 0 R +/Next 903 0 R +/First 891 0 R +/Last 899 0 R +/Count -3 +>> endobj +883 0 obj << +/Title 884 0 R +/A 881 0 R +/Parent 875 0 R +/Prev 879 0 R +>> endobj +879 0 obj << +/Title 880 0 R +/A 877 0 R +/Parent 875 0 R +/Next 883 0 R +>> endobj +875 0 obj << +/Title 876 0 R +/A 873 0 R +/Parent 871 0 R +/Next 887 0 R +/First 879 0 R +/Last 883 0 R +/Count -2 +>> endobj +871 0 obj << +/Title 872 0 R +/A 869 0 R +/Parent 4692 0 R +/Prev 867 0 R +/Next 935 0 R +/First 875 0 R +/Last 915 0 R +/Count -6 +>> endobj +867 0 obj << +/Title 868 0 R +/A 865 0 R +/Parent 4692 0 R +/Prev 835 0 R +/Next 871 0 R +>> endobj +863 0 obj << +/Title 864 0 R +/A 861 0 R +/Parent 835 0 R +/Prev 859 0 R +>> endobj +859 0 obj << +/Title 860 0 R +/A 857 0 R +/Parent 835 0 R +/Prev 855 0 R +/Next 863 0 R +>> endobj +855 0 obj << +/Title 856 0 R +/A 853 0 R +/Parent 835 0 R +/Prev 851 0 R +/Next 859 0 R +>> endobj +851 0 obj << +/Title 852 0 R +/A 849 0 R +/Parent 835 0 R +/Prev 847 0 R +/Next 855 0 R +>> endobj +847 0 obj << +/Title 848 0 R +/A 845 0 R +/Parent 835 0 R +/Prev 843 0 R +/Next 851 0 R +>> endobj +843 0 obj << +/Title 844 0 R +/A 841 0 R +/Parent 835 0 R +/Prev 839 0 R +/Next 847 0 R +>> endobj +839 0 obj << +/Title 840 0 R +/A 837 0 R +/Parent 835 0 R +/Next 843 0 R +>> endobj +835 0 obj << +/Title 836 0 R +/A 833 0 R +/Parent 4692 0 R +/Prev 791 0 R +/Next 867 0 R +/First 839 0 R +/Last 863 0 R +/Count -7 +>> endobj +831 0 obj << +/Title 832 0 R +/A 829 0 R +/Parent 791 0 R +/Prev 827 0 R +>> endobj +827 0 obj << +/Title 828 0 R +/A 825 0 R +/Parent 791 0 R +/Prev 823 0 R +/Next 831 0 R +>> endobj +823 0 obj << +/Title 824 0 R +/A 821 0 R +/Parent 791 0 R +/Prev 819 0 R +/Next 827 0 R +>> endobj +819 0 obj << +/Title 820 0 R +/A 817 0 R +/Parent 791 0 R +/Prev 815 0 R +/Next 823 0 R +>> endobj +815 0 obj << +/Title 816 0 R +/A 813 0 R +/Parent 791 0 R +/Prev 811 0 R +/Next 819 0 R +>> endobj +811 0 obj << +/Title 812 0 R +/A 809 0 R +/Parent 791 0 R +/Prev 807 0 R +/Next 815 0 R +>> endobj +807 0 obj << +/Title 808 0 R +/A 805 0 R +/Parent 791 0 R +/Prev 803 0 R +/Next 811 0 R +>> endobj +803 0 obj << +/Title 804 0 R +/A 801 0 R +/Parent 791 0 R +/Prev 799 0 R +/Next 807 0 R +>> endobj +799 0 obj << +/Title 800 0 R +/A 797 0 R +/Parent 791 0 R +/Prev 795 0 R +/Next 803 0 R +>> endobj +795 0 obj << +/Title 796 0 R +/A 793 0 R +/Parent 791 0 R +/Next 799 0 R +>> endobj +791 0 obj << +/Title 792 0 R +/A 789 0 R +/Parent 4692 0 R +/Prev 747 0 R +/Next 835 0 R +/First 795 0 R +/Last 831 0 R +/Count -10 +>> endobj +787 0 obj << +/Title 788 0 R +/A 785 0 R +/Parent 783 0 R +>> endobj +783 0 obj << +/Title 784 0 R +/A 781 0 R +/Parent 747 0 R +/Prev 779 0 R +/First 787 0 R +/Last 787 0 R +/Count -1 +>> endobj +779 0 obj << +/Title 780 0 R +/A 777 0 R +/Parent 747 0 R +/Prev 775 0 R +/Next 783 0 R +>> endobj +775 0 obj << +/Title 776 0 R +/A 773 0 R +/Parent 747 0 R +/Prev 771 0 R +/Next 779 0 R +>> endobj +771 0 obj << +/Title 772 0 R +/A 769 0 R +/Parent 747 0 R +/Prev 767 0 R +/Next 775 0 R +>> endobj +767 0 obj << +/Title 768 0 R +/A 765 0 R +/Parent 747 0 R +/Prev 763 0 R +/Next 771 0 R +>> endobj +763 0 obj << +/Title 764 0 R +/A 761 0 R +/Parent 747 0 R +/Prev 759 0 R +/Next 767 0 R +>> endobj +759 0 obj << +/Title 760 0 R +/A 757 0 R +/Parent 747 0 R +/Prev 755 0 R +/Next 763 0 R +>> endobj +755 0 obj << +/Title 756 0 R +/A 753 0 R +/Parent 747 0 R +/Prev 751 0 R +/Next 759 0 R +>> endobj +751 0 obj << +/Title 752 0 R +/A 749 0 R +/Parent 747 0 R +/Next 755 0 R +>> endobj +747 0 obj << +/Title 748 0 R +/A 745 0 R +/Parent 4692 0 R +/Prev 687 0 R +/Next 791 0 R +/First 751 0 R +/Last 783 0 R +/Count -9 +>> endobj +743 0 obj << +/Title 744 0 R +/A 741 0 R +/Parent 687 0 R +/Prev 739 0 R +>> endobj +739 0 obj << +/Title 740 0 R +/A 737 0 R +/Parent 687 0 R +/Prev 735 0 R +/Next 743 0 R +>> endobj +735 0 obj << +/Title 736 0 R +/A 733 0 R +/Parent 687 0 R +/Prev 731 0 R +/Next 739 0 R +>> endobj +731 0 obj << +/Title 732 0 R +/A 729 0 R +/Parent 687 0 R +/Prev 727 0 R +/Next 735 0 R +>> endobj +727 0 obj << +/Title 728 0 R +/A 725 0 R +/Parent 687 0 R +/Prev 723 0 R +/Next 731 0 R +>> endobj +723 0 obj << +/Title 724 0 R +/A 721 0 R +/Parent 687 0 R +/Prev 719 0 R +/Next 727 0 R +>> endobj +719 0 obj << +/Title 720 0 R +/A 717 0 R +/Parent 687 0 R +/Prev 715 0 R +/Next 723 0 R +>> endobj +715 0 obj << +/Title 716 0 R +/A 713 0 R +/Parent 687 0 R +/Prev 699 0 R +/Next 719 0 R +>> endobj +711 0 obj << +/Title 712 0 R +/A 709 0 R +/Parent 699 0 R +/Prev 707 0 R +>> endobj +707 0 obj << +/Title 708 0 R +/A 705 0 R +/Parent 699 0 R +/Prev 703 0 R +/Next 711 0 R +>> endobj +703 0 obj << +/Title 704 0 R +/A 701 0 R +/Parent 699 0 R +/Next 707 0 R +>> endobj +699 0 obj << +/Title 700 0 R +/A 697 0 R +/Parent 687 0 R +/Prev 695 0 R +/Next 715 0 R +/First 703 0 R +/Last 711 0 R +/Count -3 +>> endobj +695 0 obj << +/Title 696 0 R +/A 693 0 R +/Parent 687 0 R +/Prev 691 0 R +/Next 699 0 R +>> endobj +691 0 obj << +/Title 692 0 R +/A 689 0 R +/Parent 687 0 R +/Next 695 0 R +>> endobj +687 0 obj << +/Title 688 0 R +/A 685 0 R +/Parent 4692 0 R +/Prev 647 0 R +/Next 747 0 R +/First 691 0 R +/Last 743 0 R +/Count -11 +>> endobj +683 0 obj << +/Title 684 0 R +/A 681 0 R +/Parent 647 0 R +/Prev 679 0 R +>> endobj +679 0 obj << +/Title 680 0 R +/A 677 0 R +/Parent 647 0 R +/Prev 675 0 R +/Next 683 0 R +>> endobj +675 0 obj << +/Title 676 0 R +/A 673 0 R +/Parent 647 0 R +/Prev 671 0 R +/Next 679 0 R +>> endobj +671 0 obj << +/Title 672 0 R +/A 669 0 R +/Parent 647 0 R +/Prev 667 0 R +/Next 675 0 R +>> endobj +667 0 obj << +/Title 668 0 R +/A 665 0 R +/Parent 647 0 R +/Prev 663 0 R +/Next 671 0 R +>> endobj +663 0 obj << +/Title 664 0 R +/A 661 0 R +/Parent 647 0 R +/Prev 659 0 R +/Next 667 0 R +>> endobj +659 0 obj << +/Title 660 0 R +/A 657 0 R +/Parent 647 0 R +/Prev 655 0 R +/Next 663 0 R +>> endobj +655 0 obj << +/Title 656 0 R +/A 653 0 R +/Parent 647 0 R +/Prev 651 0 R +/Next 659 0 R +>> endobj +651 0 obj << +/Title 652 0 R +/A 649 0 R +/Parent 647 0 R +/Next 655 0 R +>> endobj +647 0 obj << +/Title 648 0 R +/A 645 0 R +/Parent 4692 0 R +/Prev 583 0 R +/Next 687 0 R +/First 651 0 R +/Last 683 0 R +/Count -9 +>> endobj +643 0 obj << +/Title 644 0 R +/A 641 0 R +/Parent 583 0 R +/Prev 619 0 R +>> endobj +639 0 obj << +/Title 640 0 R +/A 637 0 R +/Parent 619 0 R +/Prev 635 0 R +>> endobj +635 0 obj << +/Title 636 0 R +/A 633 0 R +/Parent 619 0 R +/Prev 631 0 R +/Next 639 0 R +>> endobj +631 0 obj << +/Title 632 0 R +/A 629 0 R +/Parent 619 0 R +/Prev 627 0 R +/Next 635 0 R +>> endobj +627 0 obj << +/Title 628 0 R +/A 625 0 R +/Parent 619 0 R +/Prev 623 0 R +/Next 631 0 R +>> endobj +623 0 obj << +/Title 624 0 R +/A 621 0 R +/Parent 619 0 R +/Next 627 0 R +>> endobj +619 0 obj << +/Title 620 0 R +/A 617 0 R +/Parent 583 0 R +/Prev 615 0 R +/Next 643 0 R +/First 623 0 R +/Last 639 0 R +/Count -5 +>> endobj 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R +>> endobj +575 0 obj << +/Title 576 0 R +/A 573 0 R +/Parent 523 0 R +/Prev 571 0 R +>> endobj +571 0 obj << +/Title 572 0 R +/A 569 0 R +/Parent 523 0 R +/Prev 567 0 R +/Next 575 0 R +>> endobj +567 0 obj << +/Title 568 0 R +/A 565 0 R +/Parent 523 0 R +/Prev 563 0 R +/Next 571 0 R +>> endobj +563 0 obj << +/Title 564 0 R +/A 561 0 R +/Parent 523 0 R +/Prev 559 0 R +/Next 567 0 R +>> endobj +559 0 obj << +/Title 560 0 R +/A 557 0 R +/Parent 523 0 R +/Prev 555 0 R +/Next 563 0 R +>> endobj +555 0 obj << +/Title 556 0 R +/A 553 0 R +/Parent 523 0 R +/Prev 551 0 R +/Next 559 0 R +>> endobj +551 0 obj << +/Title 552 0 R +/A 549 0 R +/Parent 523 0 R +/Prev 547 0 R +/Next 555 0 R +>> endobj +547 0 obj << +/Title 548 0 R +/A 545 0 R +/Parent 523 0 R +/Prev 543 0 R +/Next 551 0 R +>> endobj +543 0 obj << +/Title 544 0 R +/A 541 0 R +/Parent 523 0 R +/Prev 539 0 R +/Next 547 0 R +>> endobj +539 0 obj << +/Title 540 0 R +/A 537 0 R +/Parent 523 0 R +/Prev 535 0 R +/Next 543 0 R +>> endobj +535 0 obj << +/Title 536 0 R +/A 533 0 R +/Parent 523 0 R +/Prev 531 0 R +/Next 539 0 R +>> endobj +531 0 obj << +/Title 532 0 R +/A 529 0 R +/Parent 523 0 R +/Prev 527 0 R +/Next 535 0 R +>> endobj +527 0 obj << +/Title 528 0 R +/A 525 0 R +/Parent 523 0 R +/Next 531 0 R +>> endobj +523 0 obj << +/Title 524 0 R +/A 521 0 R +/Parent 487 0 R +/Prev 519 0 R +/Next 579 0 R +/First 527 0 R +/Last 575 0 R +/Count -13 +>> endobj +519 0 obj << +/Title 520 0 R +/A 517 0 R +/Parent 487 0 R +/Prev 499 0 R +/Next 523 0 R +>> endobj +515 0 obj << +/Title 516 0 R +/A 513 0 R +/Parent 499 0 R +/Prev 511 0 R +>> endobj +511 0 obj << +/Title 512 0 R +/A 509 0 R +/Parent 499 0 R +/Prev 507 0 R +/Next 515 0 R +>> endobj +507 0 obj << +/Title 508 0 R +/A 505 0 R +/Parent 499 0 R +/Prev 503 0 R +/Next 511 0 R +>> endobj +503 0 obj << +/Title 504 0 R +/A 501 0 R +/Parent 499 0 R +/Next 507 0 R +>> endobj +499 0 obj << +/Title 500 0 R +/A 497 0 R +/Parent 487 0 R +/Prev 495 0 R +/Next 519 0 R +/First 503 0 R +/Last 515 0 R +/Count -4 +>> endobj +495 0 obj << +/Title 496 0 R +/A 493 0 R +/Parent 487 0 R +/Prev 491 0 R +/Next 499 0 R +>> endobj +491 0 obj << +/Title 492 0 R +/A 489 0 R +/Parent 487 0 R +/Next 495 0 R +>> endobj +487 0 obj << +/Title 488 0 R +/A 485 0 R +/Parent 4692 0 R +/Prev 415 0 R +/Next 583 0 R +/First 491 0 R +/Last 579 0 R +/Count -6 +>> endobj +483 0 obj << +/Title 484 0 R +/A 481 0 R +/Parent 415 0 R +/Prev 431 0 R +>> endobj +479 0 obj << +/Title 480 0 R +/A 477 0 R +/Parent 431 0 R +/Prev 475 0 R +>> endobj +475 0 obj << +/Title 476 0 R +/A 473 0 R +/Parent 431 0 R +/Prev 471 0 R +/Next 479 0 R +>> endobj +471 0 obj << +/Title 472 0 R +/A 469 0 R +/Parent 431 0 R +/Prev 467 0 R +/Next 475 0 R +>> endobj +467 0 obj << +/Title 468 0 R +/A 465 0 R +/Parent 431 0 R +/Prev 463 0 R +/Next 471 0 R +>> endobj +463 0 obj << +/Title 464 0 R +/A 461 0 R +/Parent 431 0 R +/Prev 459 0 R +/Next 467 0 R +>> endobj +459 0 obj << +/Title 460 0 R +/A 457 0 R +/Parent 431 0 R +/Prev 455 0 R +/Next 463 0 R +>> endobj +455 0 obj << +/Title 456 0 R +/A 453 0 R +/Parent 431 0 R +/Prev 451 0 R +/Next 459 0 R +>> endobj +451 0 obj << +/Title 452 0 R +/A 449 0 R +/Parent 431 0 R +/Prev 447 0 R +/Next 455 0 R +>> endobj +447 0 obj << +/Title 448 0 R +/A 445 0 R +/Parent 431 0 R +/Prev 443 0 R +/Next 451 0 R +>> endobj +443 0 obj << +/Title 444 0 R +/A 441 0 R +/Parent 431 0 R +/Prev 439 0 R +/Next 447 0 R +>> endobj +439 0 obj << +/Title 440 0 R +/A 437 0 R +/Parent 431 0 R +/Prev 435 0 R +/Next 443 0 R +>> endobj +435 0 obj << +/Title 436 0 R +/A 433 0 R +/Parent 431 0 R +/Next 439 0 R +>> endobj +431 0 obj << +/Title 432 0 R +/A 429 0 R +/Parent 415 0 R +/Prev 427 0 R +/Next 483 0 R +/First 435 0 R +/Last 479 0 R +/Count -12 +>> endobj +427 0 obj << +/Title 428 0 R +/A 425 0 R +/Parent 415 0 R +/Prev 423 0 R +/Next 431 0 R +>> endobj +423 0 obj << +/Title 424 0 R +/A 421 0 R +/Parent 415 0 R +/Prev 419 0 R +/Next 427 0 R +>> endobj +419 0 obj << +/Title 420 0 R +/A 417 0 R +/Parent 415 0 R +/Next 423 0 R +>> endobj +415 0 obj << +/Title 416 0 R +/A 413 0 R +/Parent 4692 0 R +/Prev 411 0 R +/Next 487 0 R +/First 419 0 R +/Last 483 0 R +/Count -5 +>> endobj +411 0 obj << +/Title 412 0 R +/A 409 0 R +/Parent 4692 0 R +/Prev 407 0 R +/Next 415 0 R +>> endobj +407 0 obj << +/Title 408 0 R +/A 405 0 R +/Parent 4692 0 R +/Prev 311 0 R +/Next 411 0 R +>> endobj +403 0 obj << +/Title 404 0 R +/A 401 0 R +/Parent 311 0 R +/Prev 399 0 R +>> endobj +399 0 obj << +/Title 400 0 R +/A 397 0 R +/Parent 311 0 R +/Prev 395 0 R +/Next 403 0 R +>> endobj +395 0 obj << +/Title 396 0 R +/A 393 0 R +/Parent 311 0 R +/Prev 391 0 R +/Next 399 0 R +>> endobj +391 0 obj << +/Title 392 0 R +/A 389 0 R +/Parent 311 0 R +/Prev 387 0 R +/Next 395 0 R +>> endobj +387 0 obj << +/Title 388 0 R +/A 385 0 R +/Parent 311 0 R +/Prev 383 0 R +/Next 391 0 R +>> endobj +383 0 obj << +/Title 384 0 R +/A 381 0 R +/Parent 311 0 R +/Prev 379 0 R +/Next 387 0 R +>> endobj +379 0 obj << +/Title 380 0 R +/A 377 0 R +/Parent 311 0 R +/Prev 359 0 R +/Next 383 0 R +>> endobj +375 0 obj << +/Title 376 0 R +/A 373 0 R +/Parent 359 0 R +/Prev 371 0 R +>> endobj +371 0 obj << +/Title 372 0 R +/A 369 0 R +/Parent 359 0 R +/Prev 367 0 R +/Next 375 0 R +>> endobj +367 0 obj << +/Title 368 0 R +/A 365 0 R +/Parent 359 0 R +/Prev 363 0 R +/Next 371 0 R +>> endobj +363 0 obj << +/Title 364 0 R +/A 361 0 R +/Parent 359 0 R +/Next 367 0 R +>> endobj +359 0 obj << +/Title 360 0 R +/A 357 0 R +/Parent 311 0 R +/Prev 355 0 R +/Next 379 0 R +/First 363 0 R +/Last 375 0 R +/Count -4 +>> endobj +355 0 obj << +/Title 356 0 R +/A 353 0 R +/Parent 311 0 R +/Prev 351 0 R +/Next 359 0 R +>> endobj +351 0 obj << +/Title 352 0 R +/A 349 0 R +/Parent 311 0 R +/Prev 347 0 R +/Next 355 0 R +>> endobj +347 0 obj << +/Title 348 0 R +/A 345 0 R +/Parent 311 0 R +/Prev 343 0 R +/Next 351 0 R +>> endobj +343 0 obj << +/Title 344 0 R +/A 341 0 R +/Parent 311 0 R +/Prev 339 0 R +/Next 347 0 R +>> endobj +339 0 obj << +/Title 340 0 R +/A 337 0 R +/Parent 311 0 R +/Prev 323 0 R +/Next 343 0 R +>> endobj +335 0 obj << +/Title 336 0 R +/A 333 0 R +/Parent 323 0 R +/Prev 331 0 R +>> endobj +331 0 obj << +/Title 332 0 R +/A 329 0 R +/Parent 323 0 R +/Prev 327 0 R +/Next 335 0 R +>> endobj +327 0 obj << +/Title 328 0 R +/A 325 0 R +/Parent 323 0 R +/Next 331 0 R +>> endobj +323 0 obj << +/Title 324 0 R +/A 321 0 R +/Parent 311 0 R +/Prev 319 0 R +/Next 339 0 R +/First 327 0 R +/Last 335 0 R +/Count -3 +>> endobj +319 0 obj << +/Title 320 0 R +/A 317 0 R +/Parent 311 0 R +/Prev 315 0 R +/Next 323 0 R +>> endobj +315 0 obj << +/Title 316 0 R +/A 313 0 R +/Parent 311 0 R +/Next 319 0 R +>> endobj +311 0 obj << +/Title 312 0 R +/A 309 0 R +/Parent 4692 0 R +/Prev 227 0 R +/Next 407 0 R +/First 315 0 R +/Last 403 0 R +/Count -16 +>> endobj +307 0 obj << +/Title 308 0 R +/A 305 0 R +/Parent 227 0 R +/Prev 303 0 R +>> endobj +303 0 obj << +/Title 304 0 R +/A 301 0 R +/Parent 227 0 R +/Prev 299 0 R +/Next 307 0 R +>> endobj +299 0 obj << +/Title 300 0 R +/A 297 0 R +/Parent 227 0 R +/Prev 295 0 R +/Next 303 0 R +>> endobj +295 0 obj << +/Title 296 0 R +/A 293 0 R +/Parent 227 0 R +/Prev 291 0 R +/Next 299 0 R +>> endobj +291 0 obj << +/Title 292 0 R +/A 289 0 R +/Parent 227 0 R +/Prev 287 0 R +/Next 295 0 R +>> endobj +287 0 obj << +/Title 288 0 R +/A 285 0 R +/Parent 227 0 R +/Prev 279 0 R +/Next 291 0 R +>> endobj +283 0 obj << +/Title 284 0 R +/A 281 0 R +/Parent 279 0 R +>> endobj +279 0 obj << +/Title 280 0 R +/A 277 0 R +/Parent 227 0 R +/Prev 275 0 R +/Next 287 0 R +/First 283 0 R +/Last 283 0 R +/Count -1 +>> endobj +275 0 obj << +/Title 276 0 R +/A 273 0 R +/Parent 227 0 R +/Prev 271 0 R +/Next 279 0 R +>> endobj +271 0 obj << +/Title 272 0 R +/A 269 0 R +/Parent 227 0 R +/Prev 267 0 R +/Next 275 0 R +>> endobj +267 0 obj << +/Title 268 0 R +/A 265 0 R +/Parent 227 0 R +/Prev 263 0 R +/Next 271 0 R +>> endobj +263 0 obj << +/Title 264 0 R +/A 261 0 R +/Parent 227 0 R +/Prev 259 0 R +/Next 267 0 R +>> endobj +259 0 obj << +/Title 260 0 R +/A 257 0 R +/Parent 227 0 R +/Prev 247 0 R +/Next 263 0 R +>> endobj +255 0 obj << +/Title 256 0 R +/A 253 0 R +/Parent 247 0 R +/Prev 251 0 R +>> endobj +251 0 obj << +/Title 252 0 R +/A 249 0 R +/Parent 247 0 R +/Next 255 0 R +>> endobj +247 0 obj << +/Title 248 0 R +/A 245 0 R +/Parent 227 0 R +/Prev 243 0 R +/Next 259 0 R +/First 251 0 R +/Last 255 0 R +/Count -2 +>> endobj +243 0 obj << +/Title 244 0 R +/A 241 0 R +/Parent 227 0 R +/Prev 239 0 R +/Next 247 0 R +>> endobj +239 0 obj << +/Title 240 0 R +/A 237 0 R +/Parent 227 0 R +/Prev 235 0 R +/Next 243 0 R +>> endobj +235 0 obj << +/Title 236 0 R +/A 233 0 R +/Parent 227 0 R +/Prev 231 0 R +/Next 239 0 R +>> endobj +231 0 obj << +/Title 232 0 R +/A 229 0 R +/Parent 227 0 R +/Next 235 0 R +>> endobj +227 0 obj << +/Title 228 0 R +/A 225 0 R +/Parent 4692 0 R +/Prev 215 0 R +/Next 311 0 R +/First 231 0 R +/Last 307 0 R +/Count -17 +>> endobj +223 0 obj << +/Title 224 0 R +/A 221 0 R +/Parent 215 0 R +/Prev 219 0 R +>> endobj +219 0 obj << +/Title 220 0 R +/A 217 0 R +/Parent 215 0 R +/Next 223 0 R +>> endobj +215 0 obj << +/Title 216 0 R +/A 213 0 R +/Parent 4692 0 R +/Prev 203 0 R +/Next 227 0 R +/First 219 0 R +/Last 223 0 R +/Count -2 +>> endobj +211 0 obj << +/Title 212 0 R +/A 209 0 R +/Parent 203 0 R +/Prev 207 0 R +>> endobj +207 0 obj << +/Title 208 0 R +/A 205 0 R +/Parent 203 0 R +/Next 211 0 R +>> endobj +203 0 obj << +/Title 204 0 R +/A 201 0 R +/Parent 4692 0 R +/Prev 187 0 R +/Next 215 0 R +/First 207 0 R +/Last 211 0 R +/Count -2 +>> endobj +199 0 obj << +/Title 200 0 R +/A 197 0 R +/Parent 187 0 R +/Prev 195 0 R +>> endobj +195 0 obj << +/Title 196 0 R +/A 193 0 R +/Parent 187 0 R +/Prev 191 0 R +/Next 199 0 R +>> endobj +191 0 obj << +/Title 192 0 R +/A 189 0 R +/Parent 187 0 R +/Next 195 0 R +>> endobj +187 0 obj << +/Title 188 0 R +/A 185 0 R +/Parent 4692 0 R +/Prev 155 0 R +/Next 203 0 R +/First 191 0 R +/Last 199 0 R +/Count -3 +>> endobj +183 0 obj << +/Title 184 0 R +/A 181 0 R +/Parent 155 0 R +/Prev 179 0 R +>> endobj +179 0 obj << +/Title 180 0 R +/A 177 0 R +/Parent 155 0 R +/Prev 175 0 R +/Next 183 0 R +>> endobj +175 0 obj << +/Title 176 0 R +/A 173 0 R +/Parent 155 0 R +/Prev 171 0 R +/Next 179 0 R +>> endobj +171 0 obj << +/Title 172 0 R +/A 169 0 R +/Parent 155 0 R +/Prev 167 0 R +/Next 175 0 R +>> endobj +167 0 obj << +/Title 168 0 R +/A 165 0 R +/Parent 155 0 R +/Prev 163 0 R +/Next 171 0 R +>> endobj +163 0 obj << +/Title 164 0 R +/A 161 0 R +/Parent 155 0 R +/Prev 159 0 R +/Next 167 0 R +>> endobj +159 0 obj << +/Title 160 0 R +/A 157 0 R +/Parent 155 0 R +/Next 163 0 R +>> endobj +155 0 obj << +/Title 156 0 R +/A 153 0 R +/Parent 4692 0 R +/Prev 87 0 R +/Next 187 0 R +/First 159 0 R +/Last 183 0 R +/Count -7 +>> endobj +151 0 obj << +/Title 152 0 R +/A 149 0 R +/Parent 87 0 R +/Prev 147 0 R +>> endobj +147 0 obj << +/Title 148 0 R +/A 145 0 R +/Parent 87 0 R +/Prev 127 0 R +/Next 151 0 R +>> endobj +143 0 obj << +/Title 144 0 R +/A 141 0 R +/Parent 127 0 R +/Prev 139 0 R +>> endobj +139 0 obj << +/Title 140 0 R +/A 137 0 R +/Parent 127 0 R +/Prev 135 0 R +/Next 143 0 R +>> endobj +135 0 obj << +/Title 136 0 R +/A 133 0 R +/Parent 127 0 R +/Prev 131 0 R +/Next 139 0 R +>> endobj +131 0 obj << +/Title 132 0 R +/A 129 0 R +/Parent 127 0 R +/Next 135 0 R +>> endobj +127 0 obj << +/Title 128 0 R +/A 125 0 R +/Parent 87 0 R +/Prev 123 0 R +/Next 147 0 R +/First 131 0 R +/Last 143 0 R +/Count -4 +>> endobj +123 0 obj << +/Title 124 0 R +/A 121 0 R +/Parent 87 0 R +/Prev 119 0 R +/Next 127 0 R +>> endobj +119 0 obj << +/Title 120 0 R +/A 117 0 R +/Parent 87 0 R +/Prev 115 0 R +/Next 123 0 R +>> endobj +115 0 obj << +/Title 116 0 R +/A 113 0 R +/Parent 87 0 R +/Prev 111 0 R +/Next 119 0 R +>> endobj +111 0 obj << +/Title 112 0 R +/A 109 0 R +/Parent 87 0 R +/Prev 107 0 R +/Next 115 0 R +>> endobj +107 0 obj << +/Title 108 0 R +/A 105 0 R +/Parent 87 0 R +/Prev 103 0 R +/Next 111 0 R +>> endobj +103 0 obj << +/Title 104 0 R +/A 101 0 R +/Parent 87 0 R +/Prev 99 0 R +/Next 107 0 R +>> endobj +99 0 obj << +/Title 100 0 R +/A 97 0 R +/Parent 87 0 R +/Prev 95 0 R +/Next 103 0 R +>> endobj +95 0 obj << +/Title 96 0 R +/A 93 0 R +/Parent 87 0 R +/Prev 91 0 R +/Next 99 0 R +>> endobj +91 0 obj << +/Title 92 0 R +/A 89 0 R +/Parent 87 0 R +/Next 95 0 R +>> endobj +87 0 obj << +/Title 88 0 R +/A 85 0 R +/Parent 4692 0 R +/Prev 59 0 R +/Next 155 0 R +/First 91 0 R +/Last 151 0 R +/Count -12 +>> endobj +83 0 obj << +/Title 84 0 R +/A 81 0 R +/Parent 59 0 R +/Prev 79 0 R +>> endobj +79 0 obj << +/Title 80 0 R +/A 77 0 R +/Parent 59 0 R +/Prev 75 0 R +/Next 83 0 R +>> endobj +75 0 obj << +/Title 76 0 R +/A 73 0 R +/Parent 59 0 R +/Prev 71 0 R +/Next 79 0 R +>> endobj +71 0 obj << +/Title 72 0 R +/A 69 0 R +/Parent 59 0 R +/Prev 67 0 R +/Next 75 0 R +>> endobj +67 0 obj << +/Title 68 0 R +/A 65 0 R +/Parent 59 0 R +/Prev 63 0 R +/Next 71 0 R +>> endobj +63 0 obj << +/Title 64 0 R +/A 61 0 R +/Parent 59 0 R +/Next 67 0 R +>> endobj +59 0 obj << +/Title 60 0 R +/A 57 0 R +/Parent 4692 0 R +/Prev 47 0 R +/Next 87 0 R +/First 63 0 R +/Last 83 0 R +/Count -6 +>> endobj +55 0 obj << +/Title 56 0 R +/A 53 0 R +/Parent 47 0 R +/Prev 51 0 R +>> endobj +51 0 obj << +/Title 52 0 R +/A 49 0 R +/Parent 47 0 R +/Next 55 0 R +>> endobj +47 0 obj << +/Title 48 0 R +/A 45 0 R +/Parent 4692 0 R +/Prev 19 0 R +/Next 59 0 R +/First 51 0 R +/Last 55 0 R +/Count -2 +>> endobj +43 0 obj << +/Title 44 0 R +/A 41 0 R +/Parent 35 0 R +/Prev 39 0 R +>> endobj +39 0 obj << +/Title 40 0 R +/A 37 0 R +/Parent 35 0 R +/Next 43 0 R +>> endobj +35 0 obj << +/Title 36 0 R +/A 33 0 R +/Parent 19 0 R +/Prev 31 0 R +/First 39 0 R +/Last 43 0 R +/Count -2 +>> endobj +31 0 obj << +/Title 32 0 R +/A 29 0 R +/Parent 19 0 R +/Prev 27 0 R +/Next 35 0 R +>> endobj +27 0 obj << +/Title 28 0 R +/A 25 0 R +/Parent 19 0 R +/Prev 23 0 R +/Next 31 0 R +>> endobj +23 0 obj << +/Title 24 0 R 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