Abstract
A new effective pair potential is proposed for Ca 70Mg 30 glass in Ashcroft form using the concept of a Wigner-Seitz sphere treating it as a one-component system. A theory of phonon in amorphous solids in a generalized random phase approximation is employed to compute the eigenfrequencies of the longitudinal and transverse phonons making use of the so obtained potential. The eigenfrequencies obtained agree qualitatively with the neutron inelastic scattering results of Suck et al. and also with the theoretical results of Hafner and with the results of Bhatia and Singh, both qualitatively as well as quantitatively. In addition, the elastic and thermodynamic properties of the glass have also been studied using the longitudinal and transverse sound velocities.
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