Point defect cluster concentrations and electrical conductivity in AgCl doped with CdCl2

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Abstract
The fractions of impurity ions which are in nearest-neighbour pair clusters, in triplet clusters, or not in any cluster are calculated by a new route from available radial distribution functions for impurities and vacancies in AgCl+CdCl2 at 250 degrees C. The results are compared with a mass action calculation using equations for all nearest-neighbour clusters of four or fewer defects. In both calculations the fraction of pairs decreases at impurity concentrations in the range 1-5%, where triplets, quartets and larger clusters begin to form in appreciable concentrations. Neither set of calculations provides a simple insight into the ionic conductivity measurements of Ebert and Teltow (1955), although it seems probable that the larger clusters are not as effective in reducing the conductivity as the pair clusters.