Vacancy theory of melting and condensation

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Abstract
A cell model in which the cell size is constant at fixed temperature and pressure is utilized to calculate melting data and gas-liquid critical constants. Interactions between vacancies are taken into account and the variation of vibrational free energy with vacancy concentration is incorporated into the model. The calculated results agree well with experiment for the hard-sphere transition and melting and condensation of argon. The pair correlation function for argon computed from the model is in good agreement with experiment with reasonable values of the parameters in the calculation. The calculations indicate that vacancy defects exist in liquids and play an essential role in determining melting conditions.