Abstract: Two equations of state for metals, halides, and oxides​

U. Walzer. Two equations of state for metals, halides, and oxides. Gerl. Beitr. Geophysik, 93:37-52, 1984.

Two equations of state for metals, halides, and oxides

U. Walzer

Abstract

An isothermal equation of state is derived for metals; the mean kinetic energy, the exchange and correlation energies of the electrons as well as a quantum-statistical correction also being taken into account. This equation of state, which has proven its worth for 20 studied metals, has been simplified such that the only input parameters which still have to be known are the initial bulk modulus and the initial pressure derivative of the bulk modulus. Let the simplified equation of state be designated as MZ. The pressure-volume curves of MZ and of two other proven equations of state were compared with isothermal experimental high-compression data of 13 halides and oxides and of 20 metals. Compared with the other two equations, the approximation of the measured values achieved through MZ was not only better for the metals, where an improvement had to be expected after all, but also for most of the non-metallic compounds under investigation. The paper also reports on a study of the melting temperature as a function of pressure.

Key words: solid-state physics, equation of state, metals, halides, oxides, kinetic energy, exchange energy, correlation energy, quantum mechanics, bulk modulus, high pressure, melting temperature, Birch-Murnaghan equation, free energy, interelectronic spacing, Wigner cell, Fermi free energy, Lindemann's law, melting curve, Earth's mantle, Mie-Grüneisen equation, Rankine-Hugoniot

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