Abstract
Van der Waals' assumption that the parameter a in his model is independent of density and temperature is reexamined for Lennard-Jones particles, using two different types of soft repulsive core potentials: the positive portion of the Lennard-Jones potential and the portion of the Lennard-Jones potential associated with the repulsive force. The latter core potential is found to give a nearly constant a. An analytic expression for a is given to account for the observed small density variation. It is applicable from about 25% of the triple-point density to the freezing density.
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