Equation of state of solids from high-pressure isotherm

Abstract

A new variant of the method of finding the equation of state in the Mie–Grüneisen form is presented. It is based only on high-pressure isotherms of solids. Using this procedure, the semiempirical equation of state and shock adiabats of solids may be found at high pressures and high temperatures. The method is tested on periclase MgO within the range of shock pressures up to 300–500 GPa.

Keywords:

• Mie–Grüneisen equation of state
• High pressure
• Hugoniot
• Melting curve

Acknowledgements

The work is carried out with the financial support of the program of the Presidium Russian Academy of Sciences, Investigations of matter in extreme conditions, physics and mechanics of powerfully compressed material and problems of the internal construction of the Earth and planets.