Expressions for the phonon frequencies of the binary and ternary metallic glasses are derived on the basis of various dielectric screenings. A model which assumes a central force, effective between nearest neighbours, and a volume dependent force is adopted. The phonon frequencies of longitudinal and transverse phonons for the binary metallic glasses Ca70Mg,o, Mg,,Zn,,, and CuS7Zr4, and for the ternary metallic glass Pd,,,,Si,,,,Cu, are computed. The theoretical results compared with experimental data underline the importance of dielectric screening by conduction electrons.
The Ashcroft empty core model potential is used to derive the effective interatomic potential, Veff(r), and the pair correlation function, g(r), of metallic glasses through the pseudopotential approach. The only parameter r, (core radius) is chosen to make the calculated g ( r ) as close as possible with available experimental data. Veff(r) alongwith g ( r ) of the glass is used to evaluate longitudinal and transverse phonon frequencies by the use of the Takeno and Goda equations. The formulation reproduces the main characteristics of the dispersion curves obtained by computer simulation techniques.
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