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fix formula
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1 changed files with 6 additions and 7 deletions
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@ -549,8 +549,8 @@ class IncidentPhoton(EqualityMixin):
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for mt in (502, 504, 515, 522, 525):
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data.reactions[mt] = PhotonReaction.from_ace(ace, mt)
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# Get heating cross sections [eV*barn] from factors [eV per collision]
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# by multiplying with total xs (sum of (502, 504, 515, 522))
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# Get heating cross sections [eV-barn] from factors [eV per collision]
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# by multiplying with total xs
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data.reactions[525].xs.y *= sum([data.reactions[mt].xs.y for mt in
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(502, 504, 515, 522)])
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@ -849,7 +849,6 @@ class IncidentPhoton(EqualityMixin):
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else:
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brem_group.create_dataset(key, data=value)
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def _add_bremsstrahlung(self):
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"""Add the data used in the thick-target bremsstrahlung approximation
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@ -915,20 +914,20 @@ class IncidentPhoton(EqualityMixin):
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self.bremsstrahlung.update(_BREMSSTRAHLUNG[self.atomic_number])
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def _compute_heating(self):
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"""Compute heating cross sections (KERMA)
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r"""Compute heating cross sections (KERMA)
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Photon energy is deposited as energy loss in three reactions:
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incoherent scattering, pair production and photoelectric effect.
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The point-wise heating cross section is calculated as:
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.. math::
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\sigma_{Hx} &= (E - \overline{E}_x(E)) \times \sigma_x(E), x \in \left \{ I, PP, PE \right\}
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\sigma_{Hx}(E) &= (E - \overline{E}_x(E)) \cdot \sigma_x(E), x \in \left\{I, PP, PE \right\}
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\overline{E}_I (E) &= \frac {\int E' \sigma_I (E,E',\mu) d\mu} {\int \sigma_I (E,E',\mu) d\mu}
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\overline{E}_I(E) &= \frac {\int E' \sigma_I (E,E',\mu) d\mu} {\int \sigma_I (E,E',\mu) d\mu}
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\overline{E}_{PP} &= 2 m_e c^2 = 1.022 \times 10^6 eV
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\overline{E}_{PE} &= E_{fluorescent photons}
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\overline{E}_{PE} &= E(\text{fluorescent photons})
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The differential cross section representation for incoherent
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scattering can be found in the theory manual.
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