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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1972 Nov;69(11):3305–3306. doi: 10.1073/pnas.69.11.3305

One-Parameter Equation of State for Metals and Certain Other Solids

L M Libby *, W F Libby
PMCID: PMC389759  PMID: 16592026

Abstract

A general isothermal equation of state for metals and certain other solids [Formula: see text] Where BT0 is the bulk modulus at zero pressure, P is the pressure, and V0 and V are the volumes at zero pressure and pressure P, respectively, has been discovered empirically. The fit to a straight line for twenty metals and twelve metallic halides is within a few percent mean deviation. The rationale leading to this particular relation is that of the Virial Theorem, as applied to those solids for which the potential energy scales as the mean inverse of the inter-atomic distance, and for which on compression the entropy change is small.

Keywords: high pressure, bulk modulus, virial theorem, compressibility

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