A perturbed hard-sphere-chain equation of state for liquid metals

A perturbed hard-sphere-chain equation of state has been applied to calculate the liquid density of molten metals. Two temperature-dependent parameters appear in the equation of state, which are universal functions of the reduced temperature, i.e., two scale parameters are sufficient to calculate the temperature-dependent parameters. Generally, the scale parameters can be obtained by fitting of the experimental data. In this work we have calculated the liquid density of nine metals, including alkali metals, mercury, tin, lead, and bismuth, for which accurate experimental data exist in the literature. The calculations cover a broad range of temperatures ranging from melting point close to the critical point and at pressures ranging from the vapor-pressure curve up to pressures as high as 4000 bar. From about 800 data points examined for the aforementioned liquid metals the average absolute deviation compared with experimental data is 1.64%.