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 ( 1 48 )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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