Abstract
The exact integral equation for the pair distribution functions, published recently by J. M. J. van Leeuwen, J. Groeneveld and J. de Boer 1) is readily derived by previously published methods 2) 3). The relation of the new equation to the Ornstein-Zernike formula for the direct correlation function is discussed, and the importance of this relation for treatment of phase transitions is noted. Exact formulas for the Helmholtz free energy are presented. The convolution approximation, obtained by neglecting prototype graphs, and its relation to the Kirkwood superposition approximation and to the nodal expansion sequance are discussed.
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