Abstract
In this paper, we propose a formula (2△0)/(kBTc)=4.95[1-T01/2/A(1/(λω0)+1/(20λ)+1/(20))], it can describe well the relations between 2△0/(kBTc) and the parameters of the phonon spectrum of disordered and amorphous superconductors for the non-transition metals and their alloys. Here T0 =0.66K, A =1/5K1/2, λ is electron-phonon coupling constant, is the average phonon frequency and ω0 the high frequency cutoff of the effective phonon spectrum a2F(ω). The values of 2△0/(kBTc) of disordered and amorphous superconductors which have the known parameters of the phonon spectrum have been calculated. Agreement with experiment is within a few percent. We show that the amorphous superconductor of non-transition metals and alloys is either a strong coupling superconductor which has a 2△0/(kBTc) valve much larger than the BCS theory value or a weak coupling superconductor which has a considerable smaller one than the BCS theory value.
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