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Modified Fielek Schemes and Phonon Dispersion in Noble Metals
Author(s) -
Agrawal R. M.,
Rathore R. P. S.
Publication year - 1980
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.2221020230
Subject(s) - noble metal , pairwise comparison , dispersion (optics) , phonon , scheme (mathematics) , dispersion relation , simple (philosophy) , coupling (piping) , statistical physics , physics , materials science , computer science , condensed matter physics , quantum mechanics , mathematics , mathematical analysis , metal , philosophy , epistemology , artificial intelligence , metallurgy
Relations for phonon dispersion in noble metals are derived on the basis of three simplified and improved Fielek schemes. These schemes assume the core‐core interaction to be central pairwise. First of these schemes assumes the interaction among the neighbouring d‐shells to be angular, while the second scheme describes these as purely radial. The third scheme incorporates the volume interactions in the Fielek scheme on the lines of the modified Bhatia scheme. First and second models are further made to incorporate the equilibrium condition on simple and realistic lines. The dispersion relation in noble metals predicted by these schemes are compared (a) mutually and (b) with the experimental data to arrive a t the conclusions regarding the nature and range of the interactions coupling the various constituents of the non‐simple metals, like noble metals.