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The Gibbs-Bogoliubov inequality is used to calculate approximate hard sphere structure factors for liquid metals. The two essential assumptions are (i) second order pseudopotential perturbation theory is valid and (ii) the hard sphere structure factors are adequately described by the Percus-Yevick theory. The results, obtained for many simple metals and for varying conditions of temperature and pressure, are encouraging.
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Umar et al. (1974) studied this question.
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