Analytic model of the Gruneisen parameter all densities

By L. Burakovsky, D. Preston. 2002

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Abstract We model the density dependence of the Gruneisen parameter as γ ( ρ )=1/2+ γ 1 / ρ 1/3 + γ 2 / ρ q , where γ 1 , γ 2 , and q >1 are constants. This form is based on the assumption that γ is an analytic function of V 1/3 , and was designed to accurately represent the experimentally determined low-pressure behavior of γ . The numerical values of the constants are obtained for 20 elemental solids. Using the Lindemann criterion with our model for γ , we calculate melting curves for Al, Ar, Cu, Pd, and Pt and compare them to available experimental and theoretical melt data. We also determine the Z (atomic number) dependence of γ 1 .The high-compression limit of the model is shown to follow from a generalization of the Slater, Dugdale–MacDonald, and Vashchenko–Zubarevforms for the volume dependence of the Gruneisen parameter.

Subfields: Geophysics, Materials Chemistry, Organic Chemistry

View Paper: https://www.semanticscholar.org/paper/830f271c20e48bfcf9bf6f208a48293c815d473b