A recently proposed model potential is used to study the superconducting state parameters viz. electron-phonon coupling strength λ, Coulomb pseudopotential µ * , transition temperature T C , isotope effect exponent α and effective interaction strength N O V of 40 metallic glasses of simple, non-simple as well as transition metals. The advanced screening function due to Sarkar et al. has been employed to include the exchange and correlation effects. Instead of Vegard's law, the use of pseudo-alloy-atom model in the investigation of superconducting state properties of metallic glasses is proposed and found successfully.

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Our well-recognized pseudopotential is used to investigate the superconducting state parameters viz; electron-phonon coupling strength λ, Coulomb pseudopotential µ * , transition temperature T c , isotope effective exponent α and interaction strength N 0 V for the In 1−x Zn x and In 1−x Sn x binary alloys. We have incorporated six different types of local field correction functions, proposed by Hartree, Taylor, Vashistha-Singwi, Ichimaru-Utsumi, Farid et al and Sarkar et al to show the effect of exchange and correlation on the aforesaid properties. Very strong influence of the various exchange and correlation functions is concluded from the present study. The comparison with other such theoretical values is encouraging, which confirms the applicability of our model potential in explaining the superconducting state parameters of binary mixture.

The vibrational dynamics of three Ca-based non-crystalline alloys viz. Ca 70 Mg 30 , Ca 70 Zn 30 and Ca 60 Al 40 have been studied at room temperature in terms of the phonon eigen frequencies of longitudinal and transverse modes, employing three theoretical formulations given by HubbardBeeby (HB), Takeno-Goda (TG) and Bhatia-Singh (BS). Five local field correction functions viz. Hartree (H), Taylor (T), Ichimaru-Utsumi (IU), Farid et al. (F) and Sarkar et al. (S)are used for the first time in the present investigation to study the screening influence on the aforesaid properties. The pseudo-alloy-atom (PAA) model is applied for the first time instead of Vegard's Law. Long wavelength limits of the phonon modes are used to investigate the elastic and thermal properties of the system. The low temperature specific heat is also calculated from the elastic limit of the phonon dispersion curves (PDCs). The present findings of the PDCs of Ca 70 Mg 30 glass are found in fair agreement with available theoretical and experimental data.

The study of the superconducting state parameters (SSP) viz. electron-phonon coupling strength λ, Coulomb pseudopotential µ * , transition temperature T C , isotope effect exponent α and effective interaction strength N 0 V of In-based binary alloys In 1−x Nax, In 1−x Mgx, In 1−x Znx, In 1−x Tlx, In 1−x Snx, In 1−x Pbx and In 1−x Bix have been made extensively in the present work using a model potential. To explain electron-ion interaction pseudo-alloy-atom (PAA) model is applied for the first time instead of Vegard's Law. A considerable influence of various exchange and correlation functions on λ and µ * is found from the present study. It is also concluded that T C strongly depends on the value of the effective valence Z * of binary alloys.

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