Triple-Dipole Interaction. II. Cohesion in Crystals of the Rare Gases

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Abstract
The dependence of the triple‐interaction between three neutral atoms on the configuration of the latter suggests a possible explanation of the structure of the crystals of Ne, A, Kr, and Xe. The latter crystallize in the face‐centered cubic (f.c.c.) lattice, one of the two closest‐packed structures, the other being the hexagonal closest‐packed. The triple‐dipole interaction was directly summed in both the f.c.c. and h.c.p. lattices for a cylindrical region whose radius and semi‐altitude were about three times the nearest‐neighbor distance. The calculations, which were made on IBM punched‐card machines, are outlined. The triple‐dipole interaction amounts to two to nine percent of the cohesive energy for the crystals of the above rare gases. The difference in the triple‐dipole interaction for the f.c.c. and h.c.p. lattice, although favoring the former structure, is less than 0.01 percent of the cohesive energy and hence cannot account for the structure of these rare gas solids.

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