2009•Journal of Applied CrystallographyRequires access

Tilt and twist grain boundaries

Adam Morawiec

Abstract

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 withm3msymmetry 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.

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Key concepts: Twist, Tilt (camera), Grain boundary, Boundary (topology), Symmetry (geometry), Geometry, Planar, Homogeneous space