A van der Waals theory of the crystalline state

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Abstract
Elementary concepts from classical statistical mechanics and solid‐state physics are employed in extending the van der Waals ’’mean‐field’’ picture to a spatially periodic one, based solely on microscopic principles. A simple calculation and comparison of the Helmholtz free energies involved, as well as of the associated ’’Maxwell constructions,’’ allows for the qualitatively correct inclusion of the crystalline phase into the usual P‐V‐T diagram of a simple substance.

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