Krakow, R., Bennett, R. J., Johnstone, D. N., Vukmanovic, Z., Solano-Alvarez, W., Lainé, S. J., Einsle, J. F. , Midgley, P. A., Rae, C. M. F. and Hielscher, R. (2017) On three-dimensional misorientation spaces. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 473(2206), 20170274. (doi: 10.1098/rspa.2017.0274) (PMID:29118660) (PMCID:PMC5666230)
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Abstract
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.
| Item Type: | Articles |
|---|---|
| Additional Information: | The authors acknowledge and thank the following sources for financial support in undertaking this work: Rolls-Royce plc, the EPSRC under grants EP/H022309/1 and EP/H500375/1; the BMWi grant number 20T0813; the Cambridge Home & EU Scholarships scheme of the University of Cambridge; and the ERC through grant agreement 291522-3DIMAGE. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Einsle, Dr Joshua Franz |
| Authors: | Krakow, R., Bennett, R. J., Johnstone, D. N., Vukmanovic, Z., Solano-Alvarez, W., Lainé, S. J., Einsle, J. F., Midgley, P. A., Rae, C. M. F., and Hielscher, R. |
| College/School: | College of Science and Engineering > School of Geographical and Earth Sciences > Earth Sciences |
| Journal Name: | Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences |
| Publisher: | The Royal Society |
| ISSN: | 1364-5021 |
| ISSN (Online): | 1471-2946 |
| Published Online: | 25 October 2017 |
| Copyright Holders: | Copyright © 2017 The Authors |
| First Published: | First published in Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences 473(2206):20170274 |
| Publisher Policy: | Reproduced under a Creative Commons License |
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