Cluster Probabilities for Simple Lattices Containing Two Impurities

Publisher Website
Google Scholar
Abstract
Concentration‐dependent probabilities for flnding one of two kinds of impurities in a single, pair, or triple cluster within a simple cubic, body‐centered‐cubic, face‐centered‐cubic, or hexagonal‐close‐packed lattice are given as polynomials for which tabulated values are readily available. Both nearest‐neighbor interactions and next‐nearest‐neighbor interactions between foreign impurities in random distribution within the lattice are each separately treated. Graphical comparisons of the results indicate that the effect of introducing an additional impurity is similar to that of including next‐nearest‐neighbor interactions. In both cases cluster probabilities are decreased.