Volumetric and linear expansion coefficients in isotropic materials
===================================================================

Coefficients of thermal expansion describe how the size of an object changes with a change in temperature
at a constant pressure. In isotropic materials, the volumetric coefficient is three times the linear one.

**Conditions:**

#. The material is isotropic.
#. The pressure is constant during the volume change.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Thermal_expansion#Isotropic_materials>`__.

.. py:currentmodule:: symplyphysics.laws.thermodynamics.volumetric_and_linear_expansion_coefficients_in_isotropic_materials

.. py:data:: volumetric_expansion_coefficient

    Volumetric :attr:`~symplyphysics.symbols.thermodynamics.thermal_expansion_coefficient` of the material. Also see
    :doc:`Volumetric expansion coefficient <definitions.volumetric_coefficient_of_thermal_expansion>`.

Symbol:
    :code:`alpha_V`

Latex:
    :math:`\alpha_{V}`

Dimension:
    :code:`1/temperature`


.. py:data:: linear_expansion_coefficient

    Linear :attr:`~symplyphysics.symbols.thermodynamics.thermal_expansion_coefficient` of the material. Also see
    :doc:`Linear expansion coefficient <definitions.linear_coefficient_of_thermal_expansion>`.

Symbol:
    :code:`alpha_l`

Latex:
    :math:`\alpha_{l}`

Dimension:
    :code:`1/temperature`


.. py:data:: law

    :code:`alpha_V = 3 * alpha_l`


    Latex:
        .. math::
            \alpha_{V} = 3 \alpha_{l}