On a Hole Theory of Fluids from Molecular Distributions

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Abstract
A previously developed method connecting the molecular distributions inside a cell with the molecular distribution in the surrounding fluid is applied to the case of a cell small enough to occupy at most one molecule. It is then possible to arrive at explicit expressions for the thermodynamic functions of the fluid. The method has the advantage over current hole theories in that it eliminates the problem of the dependence of the free volume on the occupation number of neighboring cells. General properties of the resulting formulas are discussed.

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