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The Separable Potential Method and Its Connection with the Embedded‐Atom Method
Author(s) -
Idiodi J. O. A.,
Obodi G. N.
Publication year - 1993
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.2221770204
Subject(s) - connection (principal bundle) , separable space , embedding , nonlinear system , atom (system on chip) , function (biology) , mathematics , differential (mechanical device) , vanadium , differential equation , embedded atom model , point (geometry) , mathematical analysis , physics , chemistry , computer science , thermodynamics , quantum mechanics , geometry , inorganic chemistry , artificial intelligence , evolutionary biology , biology , embedded system , molecular dynamics
A detailed comparison of the separable potential method (SPM), recently proposed by one of us, with the embedded‐atom method (EAM) allows a characterization of the embedding function F through a nonlinear differential equation. The complete solutions of the nonlinear differential equation are given, and as a demonstration of the applicability of the method, one of the solutions is employed to calculate various physical quantities for some f. c. c. metals. The applicability of the unified approach discussed here, goes beyond f. c. c. metals. We illustrate this important point by comparing some of our results obtained for b. c. c. metallic vanadium with similar results obtained recently by Adam and Foiles in 1990.