Entropies of Liquid Rare-Earth Metals near the Melting Point

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  • Sasajima H.
    Department of Mathematics and Physics, National Defense Academy
  • Arai T.
    Department of Mathematics and Physics, National Defense Academy
  • Yokoyama I.
    Department of Mathematics and Physics, National Defense Academy

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  • Entropies of Liquid Rare-Earth Metals n

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Abstract

In this paper, the thermodynamic entropies of the liquid rare-earth metals are explained by the statistical theory of entropy using the hypotheses about the electronic structure suggested by what is believed to be true of the corresponding solids. The pair correlation entropies are computed from measured pair correlation functions, while the triplet correlation entropies are estimated by measured structure factors with the help of the uniform fluid model for evaluation of a change in the structure factor on application of the pressure. The magnitude of the pair and triplet correlation entropies is smaller than that of the liquid 3d transition metals near the melting point. The excess entropy of a hard sphere model is discussed in relation to the correlation entropies studied.

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