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.