Phonon Dispersion in Ca₇₀Mg₃₀ Metallic Glass

The phonon dispersion curves (PDC) of Ca₇₀Mg₃₀ metallic glass has been studied at room temperature in terms of phonon eigen frequencies of longitudinal and transverse modes employing three different approaches proposed by Hubbard and Beeby (J. Phys. C: Solid State Phys. 13 (1969) 556), Takeno and Goda (Prog. Theor. Phys. 45 (1971) 331; 47 (1972) 790) and Bhatia and Singh (Phys. Rev. B 31 (1985) 4751). The well recognized model potential of Gajjar et al. is employed successfully to explain electron-ion interaction in the metallic glass. The effective pair potential is used to generate the pair correlation function g(r). The local field correction function (Int. J. Mod. Phys. B 17 (2003) 6001) is used for the first time to introduce the exchange and correlation effects on the aforesaid properties. The present findings of PDCs are found to be in agreement with the available theoretical as well as experimental data. The thermodynamic and elastic properties, i.e. longitudinal and transverse sound velocities, isothermal bulk modulus, modulus of rigidity, Poisson's ratio, Young's modulus and Debye temperature, are also investigated successfully.