Note on Imperfect Gas Theory

Imperfect gas theory is discussed extensively in J. E. Mayer and M. G. Mayer, Statistical Mechanics (John Wiley and Sons, Inc., New York, 1940). See particularly Chap. 12, appendices X and XI, and the references therein.

We are here concerned with proof of the relation between the irreducible clusters and the coefficients of the series in $υ−1.$ An elegant method is available for constructing the series in $υ−1$ [see D. Ter Haar, Statistical Mechanics (Rinehart and Company, Inc., New York, 1954), p. 176], but it does not identify the coefficients with the $βκ.$