The so-called direct solution of powder diffraction patterns for a faulted layered crystal was considered. It was shown that, in the general case, peak profiles could be split into a symmetrical and an antisymmetrical component. The relationships between peak profile parameters and the underlying faulting structure, as given by the probability correlation function, were demonstrated. This formalism reduced to known equations when applied to particular faulting models. Warren’s equations, for the peak profile of face-centered cubic materials with {111} planar faulting, were derived within the framework of a general theory.

On the Powder Diffraction Pattern of Crystals with Stacking Faults. E.Estevez-Rams, M.Leoni, P.Scardi, B.Aragon-Fernandez, H.Fuess: Philosophical Magazine, 2003, 83[36], 4045-57