Abstract
The Gibbs-Bogoliubov inequality is used to evaluate the Helmholtz free energy of some liquid metals. The structural contribution to this energy is investigated by adopting the Percus-Yevick (PY) hard sphere fluid. The well-known single parametric empty core local pseudopotential of Ashcroft is applied to describe the electron-ion interaction along with five different local field correction functions, viz, Hartree, Taylor, Ichimaru-Utsumi, Farid et al., and Sarkar et al. The difference of 2.18 to 28.00% in the influence on the Helmholtz free energy is due to these local field correction functions with respect to the static Hartree dielectric function. A qualitative agreement with experimental or theoretical results is achieved.
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