Lattice Dynamics and Specific Heats of Some Transition Metals on Krebs's Model

Abstract

Krebs's model for the lattice dynamics of cubic metals has been extended by including the third-nearest-neighbor ionic interactions. The cases of three transition metals, viz., $\alpha$-iron, molybdenum and tungsten, are discussed in this paper. The force constants appearing in the secular equations for the lattice frequencies are estimated from experimental elastic constants and one observed vibration frequency. The phonon dispersion curves for the three major symmetry directions show a good agreement with the results for neutron scattering. The frequency distributions are computed. The theoretical specific heats and Debye parameters also exhibit a good agreement with the experimental data.