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A fallacious claim is made by Lannoo and Allan [Phys. Rev. B 25, 4089 (1982)] that a soft phonon mode, which might result from a vacancy in Si, could produce a large entropy of formation for the vacancy in Si(>15kB). The fallacy results from the use of a formula that is valid only in the harmonic approximation and cannot be applied to the case of a soft mode. The actual value of the entropy associated with a soft mode, if there were one, would not exceed 3.4kB. It could be negative.
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J. A. Van Vechten (1986) studied this question.
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