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An Electron Gas Model for the Lattice Dynamics of Beryllium
Author(s) -
Gupta R. P.,
Dayal B.
Publication year - 1965
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19650080111
Subject(s) - beryllium , lattice (music) , electron , lattice constant , hexagonal crystal system , work (physics) , cauchy distribution , dispersion relation , physics , condensed matter physics , materials science , chemistry , thermodynamics , crystallography , nuclear physics , mathematics , quantum mechanics , mathematical analysis , acoustics , diffraction
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 [0 1 10] directions are the computed and found to be in satisfactory agreement with the results of neutron scattering in beryllium.