Residual resistivity of clusters in solid solutions

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Abstract
The residual resistivity due to clustering in a disordered solid solution is analysed in terms of the diffraction model of Hillel, Edwards and Wilkes (1975). The negligible role of an intercluster interference effect has been checked. For clusters containing less than a few tens of solute atoms, isotropic scattering allows the definition of an excess of resistivity per atom in a cluster, which is calculated as a function of its size and compactness. This specific resistivity goes through a maximum. These results, combined with the cluster distribution given by the cluster dynamics of Binder (1976), explain the 'anomalies' observed during the isothermal ageing of AlZn fairly well, the maximum being principally due to clusters of less than 100 Zn atoms.