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Abstract
A graphical decomposition theorem is proven which allows an exact summation of the one-particle distribution function ρ1(1). Using the superposition approximation, a monolayer density profile and adsorption isotherm are calculated numerically for krypton at 100 K. The monolayer profile illustrates the structure due to hard-sphere geometrical exclusion in the adsorbate. The adsorption isotherm is compared with one derived using the Percus-Yevick approximation.