Abstract

The superconducting transition temperature T c, energy gap Δ 0, and tunnelling density of states N T(ω) have been calculated by the authors for several elements with results in good agreement with experiment. Combining our results with the work of McMillan and Leslie et al., we have found a generalized form of the McMillan equation which contains only one additional parameter, 〈(ω/ω 0) 2〉, and which differs significantly from the original McMillan equation for most strong coupling superconductors. The parameter 〈(ω/ω 0) 2〉 is a measure of the spread in the phonon spectrum and can be determined either from N T(ω) or from a calculated α 2(ω) F(ω) using neutron diffraction measurements of the phonon spectrum. As is shown elsewhere, this equation is valuable in calculating the effects of lattice disorder on superconductivity.

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