A dislocation model of grain boundary electrical resistivity

Abstract

Grain boundary electrical resistivities are calculated on the assumption that the scattering is due primarily to the dislocations which constitute these boundaries. Dislocation densities in grain boundaries have been estimated using Frank's formula as modified to take account of lattice symmetry. Dislocation resistivities are calculated ab initio assuming resonance scattering at the Fermi surface, and measured dislocation resistivities are also used where these are available. The calculated grain boundary resistivities are in satisfactory agreement with experimental data for thirteen of the fourteen metals from seven subgroups of the periodic table, for which data is available.