Abstract

The Thomas-Fermi-Dirac statistical model is generalized to treat the mechanical and thermal properties of compressed solids where the effect of the periodic lattice is taken into account in the muffin-tin approximation. A general lattice-dynamical theory is presented in the same approximation, where the core effect on the dynamical matrix is treated consistently with the statistical model. Calculated results are given for the elastic constants, the Debye temperature, the Gr\"uneisen constant, and the melting temperature for Al and partly for Fe covering a wide range of density. The present theory has been examined particularly for phonon spectra at the normal density, and is in good agreement with the experiments for Al.

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