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The extra-resistivity due to vacancies in copper, silver and gold

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Summary

Lattice defects in metals, for instance dislocations, interstitial atoms or vacancies, such as can arise from coldworking or neutron irradiation, cause an extra-resistivity. In this paper the resistivity due to vacancies is calculated for copper, silver and gold. The conduction electrons are supposed to be completely free. The scattering area of a vacancy in Cu is found from the field of this atom, for which we have takena) the negative of the Hartreefield of Cu+,b) a suitably chosen rectangular field. The results of these calculations being about the same, the case of Ag and Au is treated, using a rectangular field only. It then turns out that for monovalent metals the extra-resistivity per percent vacancies is proportional to the atomic radius. The results for Cu, Ag and Au are, respectively, 1.3, 1.5 and 1.5 μΩcm/% vacancies; they enable us to calculate the number of vacancies in certain cases. For Cu a vacancy has about the same influence on the resistivity as a dissolved Ni-atom.

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Jongenburger, P. The extra-resistivity due to vacancies in copper, silver and gold. Appl. Sci. Res. 3, 237–248 (1954). https://doi.org/10.1007/BF02123906

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