Rose–Vinet equation of state

The Rose–Vinet equation of state is a set of equations used to describe the equation of state of solid objects. It is a modification of the Birch–Murnaghan equation of state. The initial paper discusses how the equation only depends on four inputs: the isothermal bulk modulus $B_{0}$, the derivative of bulk modulus with respect to pressure $B_{0}'$, the volume $V_{0}$, and the thermal expansion; all evaluated at zero pressure ($P=0$) and at a single (reference) temperature. The same equation holds for all classes of solids and a wide range of temperatures.

Let the cube root of the specific volume be

$\eta =\left({\frac {V}{V_{0}}}\right)^{\frac {1}{3}}$

then the equation of state is:

$P=3B_{0}\left({\frac {1-\eta }{\eta ^{2}}}\right)e^{{\frac {3}{2}}(B_{0}'-1)(1-\eta )}$

A similar equation was published by Stacey et al. in 1981.