A new equation of state for high compression

Abstract A new equation of state for metals is developed. The starting point for this development is a realistic expression for the free energy, allowance being made not only for the lattice energy but also for the Fermi energy, the exchange and correlation energies of the electrons. This expression is extended by means of three free parameters. The equation of state is successfully transformed in such a way that only macrophysical material parameters occur in it. In this way, the equation can be applied both to experimental high-pressure physics and to geophysics, its advantage resting in the fact that the bonding structure has been taken into account better than in other equations of state. The new equation, along with two other well-proven equations of state, was tried out on isothermal and Hugoniot data of 40 materials. Good agreement with the measured data was found not only for metallic elements, but also for halides and some oxides of geophysical importance. This agreement even proved to be better for most of the materials than that obtained with the other two equations of state.

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