Infinite multiplication factor from macroscopic cross sections
==============================================================

Infinite multiplication factor can be found using the macroscopic fission and absorption
cross section and the average number of neutrons produced per fission.

..
    NOTE: possible link here, but it is about thermal fission factor <https://en.wikipedia.org/wiki/Six_factor_formula#>

.. py:currentmodule:: symplyphysics.laws.nuclear.infinite_multiplication_factor_from_macroscopic_fission_cross_section

.. py:data:: neutrons_per_fission

    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:: infinite_multiplication_factor

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

Symbol:
    :code:`k_inf`

Latex:
    :math:`k_{\infty}`

Dimension:
    :code:`dimensionless`


.. py:data:: law

    :code:`k_inf = nu * Sigma_f / Sigma_a`


    Latex:
        .. math::
            k_{\infty} = \frac{\nu \Sigma_text{f}}{\Sigma_\text{a}}