Use of the Frank–Bilby equation for calculating misfit dislocation arrays in interfaces

The Frank–Bilby equation has been utilized to develop a general approach in which a simple criterion is proposed to classify interfaces with discrete misfit dislocation arrays into four types so that these misfit dislocation arrays can be conveniently characterized with uniform formulae. The relation connecting misfit dislocation configurations with the matrices in the Frank–Bilby equation, the special interfaces consistent with the Δg-parallelism and the continuity of misfit dislocations at intersection edges of interfaces are discussed.