The energy of semicoherent interfaces
Perry H. Leo and M. H. Schwartz
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Submission date: 25. Jan. 1999
published in: Journal of the mechanics and physics of solids, 48 (2000) 12, p. 2539-2557
A model for the energy of a semicoherent interface between any two arbitrary crystal planes is presented. The interface is decomposed into coherent regions and defect regions, such that the defects compensate for the misfit between the two planes. The relaxed energy of the interface - the energy after separation into coherent and defect regions - is given by a weighted average of the energy of the individual regions. Thus, given any two crystal structures with arbitrary lattice parameters, one can find the planes that yield the best-fitting, lowest energy interface. Calculations are performed by varying the planes comprising the interface and calculating a corresponding energy. Results for face centered cubic (FCC)/body centered cubic (BCC) systems show that low energy habit planes are consistent with experimental data, though the agreement is far from exact.