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We report a first-principles calculation of the phonon frequencies and mode-Gr\"uneisen parameters of Al with the use of the atomic number and the atomic mass as the only inputs. The phonon frequencies are determined by calculating the total energy of the perfect crystal and that of the crystal distorted by a frozen-phonon mode. Calculated results agree very well with experimental values. The contributions to the restoring force for various phonon modes are analyzed and discussed.
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Lam et al. (1982) studied this question.
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