As. Karolik et Aa. Luhvich, CALCULATION OF ELECTRICAL-RESISTIVITY PRODUCED BY DISLOCATIONS AND GRAIN-BOUNDARIES IN METALS, Journal of physics. Condensed matter, 6(4), 1994, pp. 873-886
The partial-wave method is used for the calculation of the residual el
ectrical resistivity caused by dislocations and grain boundaries in va
rious metals. The dislocation core is regarded as a resonance scatteri
ng line defect containing surplus free volume. Scattering by elastic d
istortions of the lattice is neglected. An estimation of the effective
carrier concentration in transition metals is performed on the basis
of Mob's theory. The proposed model for the evolution of the grain-bou
ndary structure with misorientation angle regards the approach and con
fluence of the line defects forming the boundary, and results in a dec
rease of the resonance part of the total scattering cross section. The
high-angle grain boundaries are assumed to consist of cylindrical voi
ds. Taking into account the values of the steady Burgers' vectors, qui
te satisfactory agreement with the available experimental data is obta
ined.