The residual resistivity due to defect pairs

Abstract

Calculations have been performed to determine the contributions of coherent and multiple scattering phenomena to the residual resistivity of defect pairs in a metal lattice. The theory has been applied to vacancy and tin impurity pairs in gold where it is found that the isotropic changes are small, being of the order of five percent of the total resistivity due to the isolated defects. The anisotropy in the case of vacancy pairs at first and second neighbouring sites is found to be considerable, in agreement with the results of calculations by Bross and Seeger using a different model. Both isotropic and anisotropic resistivity increments oscillate with period kF α/π and decays as α—2, with increasing separation a of the defects