Abstract

Abstract The maximum number of rigid spheres which can be attached to a central sphere of different diameter is calculated numerically. It is shown that this coordination number is not proportional to the surface ratio of the spheres, but roughly to power 1.2 of the diameter ratio. This has consequences for the methods by which averages of molecular properties are calculated; for several binary liquid mixtures it is shown that replacing molar fractions by contact fractions makes plots of excess properties versus concentration appear more symmetrical, thereby reducing the number of terms required in Redlich-Kister correlations.

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