On three-dimensional misorientation spaces

DOI10.1098/rspa.2017.0274zbMath1404.82068OpenAlexW2766219954WikidataQ55435795 ScholiaQ55435795MaRDI QIDQ4646870

Steven J. Lainé, Zoja Vukmanovic, Paul A. Midgley, Duncan N. Johnstone, Wilberth Solano-Alvarez, C. M. F. Rae, Joshua F. Einsle, Robert Krakow, Ralf Hielscher, Robbie J. Bennett

Publication date: 28 December 2018

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2017.0274

zbMATH Keywords

diffractioncrystallographyelectron backscatter diffractiontexturemisorientationsorientation relationships

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25)

Related Items

Locally isometric embeddings of quotients of the rotation group modulo finite symmetries

Uses Software

• Qhull
• MTEX
• Orientation Library
• DREAM.3D

Cites Work

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• Representation of orientation and disorientation data for cubic, hexagonal, tetragonal and orthorhombic crystals
• Coincidence orientations of grains in rhombohedral materials
• Disorientations and coincidence rotations for cubic lattices
• The quickhull algorithm for convex hulls
• On the Parametrization of the Three-Dimensional Rotation Group
• The relationship of the hyperspherical harmonics toSO(3),SO(4) and orientation distribution functions
• On representing rotations by Rodrigues parameters in non-orthonormal reference systems
• The five-dimensional parameter space of grain boundaries