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The low temperature behavior of the characteristic Debye temperature is investigated using the six- and nine-direction Houston approximation and by way of illustration, the lattice dynamics of Born and Begbie (nearest neighbors only). We study the values of θ0 and B2 for Cu, Au, Ag, Al, and Pb in the formula θT = θ0 θ. The existence in Pb of a shallow maximum before the usual minimum, found earlier by Bhatia and Horton, is confirmed. The method is quite general and may be used for non-metals and with other theoretical models.
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Schiff et al. (1958) studied this question.
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