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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
72/1998

The energy of semicoherent interfaces

Perry H. Leo and M. H. Schwartz

Abstract

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.

Received:
Jan 25, 1999
Published:
Jan 25, 1999

Related publications

inJournal
2000 Repository Open Access
Perry H. Leo and M. H. Schwartz

The energy of semicoherent interfaces

In: Journal of the mechanics and physics of solids, 48 (2000) 12, pp. 2539-2557