Abstract

A study of reflexive pair formation probability for a three-dimensional random distribution of spheres. The numerical density (0.704 sphere centers/unit volume) of the distributions studied is approximately the previously known saturation density of 0.709. A probability of 0.517±0.004 was found for the spheres. This can be compared to the known value of 0.5926 for the Poisson distribution points. Apparently the probability of formation of reflexive pairs is inhibited when the entities being studied possess a finite impenetrable volume. Coordination numbers for reflexive and nonreflexive pair members are found to be essentially the same.

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