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Many-body forces in the short-range part of the potential of rare-gas crystals are investigated in the Hartree-Fock approximation within the extended H\"uckel theory. These are seen to be small since overlap between adjacent atoms is small. A molecular model of the vacancy problem is set up. It is then seen that short-range three-body forces contribute a negligible fraction of the vacancy formation energy within this model.
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Tremblay et al. (1975) studied this question.
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