The resistivity of thin wires

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Abstract
A new model of surface scattering in thin metal wires of circular cross section is developed based on Soffer's angular-dependent specularity parameter. It is shown how this approach yields much greater surface-induced deviations from Matthiessen's rule than Dingle's theory which has been used previously to interpret data on the resistivity of thin wires. The use of this latter theory has led to the conclusion that there are temperature-dependent variations in the parameter rho infinity lambda infinity . This new approach explains why this apparent variation has occurred and shows that for single values of rho infinity lambda infinity and surface roughness the data can be readily fitted to theory. Results for aluminium, platinum, indium and mercury are favourably compared with the present theory.

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