Cluster expansions for hydrogen-bonded fluids. I. Molecular association in dilute gases

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Abstract
The cluster expansion method of Mayer is formulated in a way that is convenient for calculating the equilibrium pair correlation function of hydrogen-bonded fluids. The topological properties of cluster diagrams for these fluids is investigated, and a cancellation theorem is presented which permits the neglect of certain types of diagrams in these cluster expansions. A method is presented for renormalizing the hydrogen bond in such expansions, and a technique for summing the graphs which define the renormalized hydrogen bond is discussed. The present paper deals only with low density gases, and future work will extend the results to dense liquids.

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