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Define terms in flux equation for depletion docs
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docs/source/usersguide/depletion.rst

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@@ -319,16 +319,18 @@ normalizing reaction rates:
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.. math::
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\phi = \frac{P}{V \cdot \sum\limits_i (Q_i \cdot \sigma^f_i \cdot n_i)}
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\phi = \frac{P}{\sum\limits_i (Q_i \sigma^f_i n_i)}
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where :math:`\sum_i` is the sum over all nuclides :math:`i`. This equation
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makes the same assumptions and issues as discussed in
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:ref:`energy-deposition`. Unfortunately, the proposed solution in that
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where :math:`P` is the power, :math:`Q_i` is the fission Q value for nuclide
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:math:`i`, :math:`\sigma_i^f` is the microscopic fission cross section for
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nuclide :math:`i`, and :math:`N_i` is the number of atoms of nuclide
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:math:`i`. This equation makes the same assumptions and issues as discussed
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in :ref:`energy-deposition`. Unfortunately, the proposed solution in that
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section does not apply here since we are decoupled from transport code.
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However, there is a method to converge to a more accurate value for flux by
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using substeps during time integration.
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`This paper <https://doi.org/10.1016/j.anucene.2016.05.031>`_ provides a
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good discussion of this method.
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using substeps during time integration. `This paper
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<https://doi.org/10.1016/j.anucene.2016.05.031>`_ provides a good discussion
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of this method.
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.. warning::
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