2002/06/30 by L. Burakovsky, Leonid Burakovsky, D. L. Preston +1
Chemistry · Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #Chemical Thermodynamics and Molecular Structure #High-pressure geophysics and materials #Material Dynamics and Properties #cond-mat
paper · pdf · doi:10.1016/j.jpcs.2003.10.076
published as J. Phys. Chem. Solids 65, 1581 (2004) · 14 Pages, LaTeX, 5 eps figues; changes in the text
arxiv created 2002/11/04 · openalex publication_date 2004/03/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We model the density dependence of the Gruneisen parameter as gamma(rho) = 1/2 + gamma1/rho1/3 + gamma2/rhoq, where gamma1, gamma2, and q>1 are constants. This form is based on the assumption that gamma is an analytic function of V1/3, and was designed to accurately represent the experimentally determined low-pressure behavior of gamma. The numerical values of the constants are obtained for 20 elemental solids. Using the Lindemann criterion with our model for gamma, we calculate the melting curves for Al, Ar, Ni, Pd, and Pt and compare them to available experimental melt data. We also determine the Z (atomic number) dependence of gamma1. The high-compression limit of the model is shown to follow from a generalization of the Slater, Dugdale-MacDonald, and Vashchenko-Zubarev forms for the dependence of the Gruneisen parameter.