Geometric buckling for uniform parallelepiped
=============================================

Geometric buckling of a uniform parallelepiped reactor is a function of its side lengths
:math:`a, b, c`.

**Notes:**

#. Also see :ref:`Geometric buckling from neutron flux`.

**Links:**

#. `Wikipedia, third row in first table <https://en.wikipedia.org/wiki/Geometric_and_material_buckling#Geometric_Buckling>`__.

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

.. py:data:: length

    :attr:`~symplyphysics.symbols.classical_mechanics.length` of the first side of the parallelepiped.

Symbol:
    :code:`l_1`

Latex:
    :math:`l_{1}`

Dimension:
    :code:`length`


.. py:data:: width

    :attr:`~symplyphysics.symbols.classical_mechanics.length` of the second side of the parallelepiped.

Symbol:
    :code:`l_2`

Latex:
    :math:`l_{2}`

Dimension:
    :code:`length`


.. py:data:: height

    :attr:`~symplyphysics.symbols.classical_mechanics.length` of the third side of the parallelepiped.

Symbol:
    :code:`l_3`

Latex:
    :math:`l_{3}`

Dimension:
    :code:`length`


.. py:data:: geometric_buckling

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

Symbol:
    :code:`B_g^2`

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

Dimension:
    :code:`1/area`


.. py:data:: law

    :code:`B_g^2 = (pi / l_1)^2 + (pi / l_2)^2 + (pi / l_3)^2`


    Latex:
        .. math::
            B_\text{g}^2 = \left(\frac{\pi}{l_{1}}\right)^{2} + \left(\frac{\pi}{l_{2}}\right)^{2} + \left(\frac{\pi}{l_{3}}\right)^{2}