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A Born-von Karman treatment is carried out for a face-centered cubic lattice using the techniques developed by Montroll. The frequency spectrum of the normal modes of vibration has been calculated. From this distribution function Cv is obtained. A power series in 1/T has been developed for Cv at high temperatures. An asymptotic approximation is discussed for Cv at very low temperatures. Numerical results are presented for silver; these results are compared with those obtained by Leighton and with experimental data.
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Garland et al. (1954) studied this question.
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