The scattering of electrons from impurities in crystals

The authors present a theoretical approach to anisotropic relaxation times in dilute substitutional alloys. The analysis is based on the Lippman-Schwinger formalism of scattering theory and introduces band structure information using the multiple-scattering technique of Beeby. The formalism developed leads to an expression for the eigenstates of the alloy system which can, in turn, be used to derive an integral equation for the relaxation time. With certain simplifying assumptions this equation leads to predictions consistent with de Haas van Alphen data.