Abstract
We derive formulas for the gap edge and transition temperature of a pure-crystal anisotropic superconductor. The formulas are based on a simplified form of the Eliashberg gap equations applicable in the weak coupling limit. The kernels of these equations depend on the electron-phonon interaction. We calculate these from pseudopotential theory for the electron-ion interaction and a Born-von Kármán force constant system for the lattice dynamics. The anisotropy in the gap is calculated at a dense set of points on the irreducible (148)th of the Fermi surface. The average gap, critical temperature and gap anisotropy distribution are all calculated. Comparison is made with specific heat data and the spin lattice relaxation is also discussed.
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