On three-dimensional misorientation spaces

Determining the local orientation of crystals in engineering and geological materials has become routine with the advent of modern crystallographic mapping techniques. These techniques enable many thousands of orientation measurements to be made, directing attention towards how such orientation data...

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Bibliographic Details
Published in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2017-10, Vol.473 (2206), p.20170274-20170274
Main Authors: Krakow, Robert, Bennett, Robbie J., Johnstone, Duncan N., Vukmanovic, Zoja, Solano-Alvarez, Wilberth, Lainé, Steven J., Einsle, Joshua F., Midgley, Paul A., Rae, Catherine M. F., Hielscher, Ralf
Format: Article
Language:English
Subjects:
Crystal structure
Crystallography
Deformation
Deformation mechanisms
Diffraction
Electron Backscatter Diffraction
Geological mapping
Materials science
Misalignment
Misorientations
Orientation Relationships
Texture
Vector spaces
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Summary:Determining the local orientation of crystals in engineering and geological materials has become routine with the advent of modern crystallographic mapping techniques. These techniques enable many thousands of orientation measurements to be made, directing attention towards how such orientation data are best studied. Here, we provide a guide to the visualization of misorientation data in three-dimensional vector spaces, reduced by crystal symmetry, to reveal crystallographic orientation relationships. Domains for all point group symmetries are presented and an analysis methodology is developed and applied to identify crystallographic relationships, indicated by clusters in the misorientation space, in examples from materials science and geology. This analysis aids the determination of active deformation mechanisms and evaluation of cluster centres and spread enables more accurate description of transformation processes supporting arguments regarding provenance.
ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.2017.0274