Theoretical prediction of atomic volume for liquid metals based on the hard sphere model combined with NFE theory

The volume of liquid metals was theoretically calculated based on the hard sphere model immersed in the uniform background potential of electron gas. The electron–ion interaction was approximated by a simple empty core model pseudopotential. The effect of entropy was taken into account for the evaluation of the volume of liquids. The calculated atomic volume is in good agreement with the experimental volume for liquid metals investigated even for liquid group 14 elements.