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Address @paulromano comments
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5 changed files with 18 additions and 18 deletions
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@ -775,7 +775,7 @@ formula can be used to find the collision stopping power of the material:
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:label: material-collision-stopping-power
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S_{\text{col}}(T) = \frac{2 \pi r_e^2 m_e c^2}{\beta^2} N_A \frac{Z}{A_M}
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[\ln(T^2/I^2) + ln(1 + \tau/2) + F(\tau) - \delta_F(T)],
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[\ln(T^2/I^2) + \ln(1 + \tau/2) + F(\tau) - \delta_F(T)],
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where :math:`N_A` is Avogadro's number, :math:`A_M` is the molar mass,
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:math:`\tau = T/m_e`, and :math:`F(\tau)` depends on the particle type. For
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@ -797,7 +797,7 @@ while for positrons
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The density effect correction :math:`\delta_F` takes into account the reduction
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of the collision stopping power due to the polarization of the material the
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charged particle is passing through by the electric field of the particle.
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It can be evaluated using the method described by [Sternheimer]_, where the
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It can be evaluated using the method described by Sternheimer_, where the
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equation for :math:`\delta_F` is
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.. math::
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@ -821,14 +821,14 @@ where :math:`\bar{v}_i` is defined as
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.. math::
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:label: density-effect-nubar
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\bar{\nu}_i = \nu_i \rho / \nu_p.
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\bar{\nu}_i = h\nu_i \rho / h\nu_p.
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The plasma energy :math:`h\nu_p` of the medium is given by
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.. math::
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:label: plasma-frequency
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h\nu_p = \sqrt{(hc)^2/\pi r_e \rho_m N_A Z / A},
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h\nu_p = \sqrt{\frac{(hc)^2 r_e \rho_m N_A Z}{\pi A}},
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where :math:`A` is the atomic weight and :math:`\rho_m` is the density of the
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material. In :eq:`density-effect-nubar`, :math:`h\nu_i` is the oscillator
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@ -840,8 +840,8 @@ defined as
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.. math::
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:label: density-effect-li
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l_i &= (\bar{v}_i^2 + 2/3f_i)^{1/2} ~~~~&\text{for}~~ \bar{v}_i > 0 \\
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l_n &= f_n^{1/2} ~~~~&\text{for}~~ \bar{v}_n = 0,
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l_i &= (\bar{\nu}_i^2 + 2/3f_i)^{1/2} ~~~~&\text{for}~~ \bar{\nu}_i > 0 \\
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l_n &= f_n^{1/2} ~~~~&\text{for}~~ \bar{\nu}_n = 0,
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where the second case applies to conduction electrons. For a conductor,
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:math:`f_n` is given by :math:`n_c/Z`, where :math:`n_c` is the effective
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@ -1047,8 +1047,4 @@ emitted photon.
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.. _Salvat: http://www.oecd-nea.org/globalsearch/download.php?doc=77434
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.. _Sternheimer: https://journals.aps.org/prb/pdf/10.1103/PhysRevB.26.6067
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.. [Sternheimer] R. M. Sternheimer, S.M.Seltzer, and M.J.Berger, *Density
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effect for the ionization loss of charged particles in various substances*,
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Phys. Rev. B, 26, 6067–6076 (1982).
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.. _Sternheimer: https://doi.org/10.1103/PhysRevB.26.6067
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@ -505,11 +505,15 @@ void Material::collision_stopping_power(double* s_col, bool positron)
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double rho = sternheimer_adjustment(f, e_b_sq, e_p_sq, n_conduction, log_I,
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1.0e-6, 100);
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// Classical elctron radius in cm
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double r_e = PLANCK_C / (2.0e8 * PI * FINE_STRUCTURE * MASS_ELECTRON_EV);
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// Classical electron radius in cm
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constexpr double CM_PER_ANGSTROM {1.0e-8};
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constexpr double r_e = CM_PER_ANGSTROM * PLANCK_C / (2.0 * PI *
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FINE_STRUCTURE * MASS_ELECTRON_EV);
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// Constant in expression for collision stopping power
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double c = 2.0e24 * PI * r_e * r_e * MASS_ELECTRON_EV * electron_density;
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constexpr double BARN_PER_CM_SQ {1.0e24};
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double c = BARN_PER_CM_SQ * 2.0 * PI * r_e * r_e * MASS_ELECTRON_EV *
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electron_density;
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// Loop over incident charged particle energies
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for (int i = 0; i < data::ttb_e_grid.size(); ++i) {
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@ -26,7 +26,7 @@
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</space>
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<angle reference_uvw="1.0 0.0 0.0" type="monodirectional" />
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<energy type="discrete">
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<parameters>14.0 1.0</parameters>
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<parameters>14000000.0 1.0</parameters>
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</energy>
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</source>
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<electron_treatment>ttb</electron_treatment>
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@ -1,3 +1,3 @@
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tally 1:
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sum = 1.550000E-02
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sum_sq = 2.402500E-04
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sum = 7.938000E-01
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sum_sq = 6.301184E-01
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@ -33,7 +33,7 @@ class SourceTestHarness(PyAPITestHarness):
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source = openmc.Source()
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source.space = openmc.stats.Point((0,0,0))
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source.angle = openmc.stats.Monodirectional()
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source.energy = openmc.stats.Discrete([14.0], [1.0])
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source.energy = openmc.stats.Discrete([14.0e6], [1.0])
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source.particle = 'neutron'
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settings = openmc.Settings()
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