CONDENSED MATTER PHYSICS

Residual electrical resistance of metals and alloys with vacancies

K. I. Borodin^a, V. A. Volkov<sup>b

a</sup> Institute of Metal Physics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
^b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg

Abstract: The influence of vacancies on the residual electrical resistance of ordered and disordered alloys, as well as pure metals, has been studied in the coherent potential approximation. For ordered and disordered alloys, this was done in the limit of weak scattering in the A-B system of atoms, taking into account the smallness of the vacancy concentration, but at the same time the scattering on vacancies was taken into account accurately. Numerical calculations are performed for disordered alloys without the use of small parameter expansions. It is concluded that the appearance of vacancies leads to an increase in residual electrical resistance at any concentrations of the alloy components and any values of the degree of long-range order. An exact analytical solution of the problem is obtained for pure metals. The calculated values of the vacancy contribution to resistance for $Cu, Ag, Au, Pb, Al$ are in agreement with experimental data.

Keywords: residual electrical resistance, vacancies, ordered alloys, disordered substitution alloys, coherent potential approximation.

DOI: 10.60797/IRJ.2024.143.162