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Crystallographic aspects of elastic dispersion in body‐centered cubic transition metals
Author(s) -
Parikh P.,
Hay D. R.
Publication year - 1977
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.2220790131
Subject(s) - k nearest neighbors algorithm , lattice (music) , condensed matter physics , dispersion (optics) , transition metal , materials science , cubic crystal system , transverse plane , physics , chemistry , optics , biochemistry , structural engineering , engineering , artificial intelligence , computer science , acoustics , catalysis
Elastic dispersion in the transverse mode in body centered cubic transition metals is described in terms of local lattice dilation and non‐homogenous deformation. The model considers three types of bonding forces. One derives from local lattice dilation with respect to nearest neighbor and next nearest neighbor reference volumes and two derive from angular distortions of the nearest and next nearest neighbors. Elastic dispersion equations are developed and dispersion curves obtained for V, Nb, Ta, Cr, Mo, W, and Fe. Good agreement with experimental data is obtained for these metals except in the region of Kohn and other anomalies and negative dispersion in Nb is interpreted as a result of increasing contribution from local lattice dilatation at higher frequencies.