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Tilt and twist grain boundaries
Author(s) -
Morawiec A.
Publication year - 2009
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889809006979
Subject(s) - twist , tilt (camera) , grain boundary , boundary (topology) , symmetry (geometry) , geometry , planar , homogeneous space , condensed matter physics , crystallography , physics , materials science , mathematics , mathematical analysis , chemistry , microstructure , computer science , computer graphics (images)
Grain boundaries are frequently classified into tilt, twist and mixed‐type boundaries. However, the classification (into tilt and twist) is not a dichotomy; due to crystal symmetries, some boundaries may be concurrently tilt and twist boundaries. Formal conditions for a planar homophase boundary between crystals with m 3 m symmetry to be a tilt as well as a twist boundary are determined, and a procedure for verification of whether a boundary has such dual character is given.