The study of the percolation behavior of a diamond-lattice structure as a function of alloy concentration is of considerable interest. In order to clarify some questions about structural transitions on a diamond lattice occupied by a mixture of monatomic and diatomic constituents, we have investigated percolation thresholds using simulation and series-expansion methods. In diatomic substitution samples we find distinct thresholds for monatomic and diatomic connectivity along our growth direction, in contrast with the results of Holloway, who found that these thresholds may coincide.

• Received 5 March 1990

DOI:https://doi.org/10.1103/PhysRevB.42.1369