Four-parameter equation of state and determination of the thermal and mechanical properties of metals

A four-parameter equation of state (EOS), expressed in terms of the equilibrium volume V-0, cohesion energy E-C, isothermal bulk modulus B-0 and its first pressure derivative B'(0), is proposed and proved to performance better for 40 selected metals than the well-known Rose and Vinet equations. Based on the proposed EOS, the thermal expansions a, melting points T-M, ultimate strengths P-C and critical volume V-C are calculated, and interestingly, a unique correlation is observed for all the studied metals, i.e. P-C/B-0/(V-C-V-0)V-0 approximate to 0.31. It turns out that the calculated results are in good agreement with the experimental observations. (c) 2006 Published by Elsevier B.V.