Material buckling from material cross sections and diffusion coefficient
========================================================================

Material buckling can be calculated from material fission and absorption cross sections
as well as diffusion coefficient and average number of neutrons produced per fission.

**Links:**

#. `Wikipedia, last formula in paragraph <https://en.wikipedia.org/wiki/Geometric_and_material_buckling#Material_Buckling>`__.

.. py:currentmodule:: symplyphysics.laws.nuclear.buckling.material_buckling_from_macroscopic_fission_cross_section_diffusion_coefficient

.. py:data:: neutrons_per_fission

    The average number of neutrons produced per fission. See :attr:`~symplyphysics.symbols.basic.particle_count`.

Symbol:
    :code:`nu`

Latex:
    :math:`\nu`

Dimension:
    :code:`dimensionless`


.. py:data:: macroscopic_fission_cross_section

    :attr:`~symplyphysics.symbols.nuclear.macroscopic_cross_section` of fission.

Symbol:
    :code:`Sigma_f`

Latex:
    :math:`\Sigma_\text{f}`

Dimension:
    :code:`1/length`


.. py:data:: macroscopic_absorption_cross_section

    :attr:`~symplyphysics.symbols.nuclear.macroscopic_cross_section` of absorption.

Symbol:
    :code:`Sigma_a`

Latex:
    :math:`\Sigma_\text{a}`

Dimension:
    :code:`1/length`


.. py:data:: diffusion_coefficient

    :attr:`~symplyphysics.symbols.nuclear.neutron_diffusion_coefficient`.

Symbol:
    :code:`D`

Latex:
    :math:`D`

Dimension:
    :code:`length`


.. py:data:: material_buckling

    :attr:`~symplyphysics.symbols.nuclear.material_buckling`.

Symbol:
    :code:`B_m^2`

Latex:
    :math:`B_\text{m}^2`

Dimension:
    :code:`1/area`


.. py:data:: law

    :code:`B_m^2 = (nu * Sigma_f - Sigma_a) / D`


    Latex:
        .. math::
            B_\text{m}^2 = \frac{\nu \Sigma_\text{f} - \Sigma_\text{a}}{D}