An Electron Gas Model for the Lattice Dynamics of Beryllium

Abstract

The model originally proposed by Slutsky and Garland for the lattice dynamics of the hexagonal close‐packed structure is modified by introducing the contributions of the electron gas. The latter are computed from the Cauchy discrepancy by following Sharma and Joshi's work on cubic metals. The force constants for beryllium are calculated, using this new model, from the experimental data and one observed vibration frequency. The dispersion curves for the [0001] and [0110] directions are the computed and found to be in satisfactory agreement with the results of neutron scattering in beryllium. Copyright © 1965 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim