Combination rule for deviant CSL grain boundaries at triple junctions

TitleCombination rule for deviant CSL grain boundaries at triple junctions
Publication TypeJournal Article
Year of Publication2003
AuthorsFrary, A, Schuh, CA
JournalActa Materialia
Pagination3731 - 3743
Date Published2003/08/01/

The well-known sigma combination rule governs the connectivity of coincidence site lattice (CSL) grain boundaries at triple junctions, but is only strictly applicable for ideal CSL boundaries. Here, we extend this relationship to boundaries that deviate from ideal CSL misorientations, and derive a complementary rule that relates their angular deviations. This "deviation limit rule" states that the angular deviation of one boundary at a triple junction is at most equal to the sum of the other two deviation angles. This analysis also provides insight into apparent violations of the sigma combination rule, which can arise when one boundary deviates beyond the allowable limit for CSL classification. (C) 2003 Acta Materialia Inc. Published by Elsevier Science Ltd. All rights reserved.