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Title: Three-dimensional texture visualization approaches: theoretical analysis and examples

Abstract

Crystallographic textures are commonly represented in terms of Euler angle triplets and contour plots of planar sections through Euler space. In this paper, the basic theory is provided for the creation of alternative orientation representations using three-dimensional visualizations. The use of homochoric, cubochoric, Rodrigues and stereographic orientation representations is discussed, and illustrations are provided of fundamental zones for all rotational point-group symmetries. A connection is made to the more traditional Euler space representations. An extensive set of three-dimensional visualizations in both standard and anaglyph movies is available.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Univ. of California, Santa Barbara, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1536587
DOE Contract Number:  
NA0002910
Resource Type:
Journal Article
Journal Name:
Journal of Applied Crystallography (Online)
Additional Journal Information:
Journal Volume: 50; Journal Issue: 2; Journal ID: ISSN 1600-5767
Publisher:
International Union of Crystallography
Country of Publication:
United States
Language:
English
Subject:
Chemistry; Crystallography

Citation Formats

Callahan, Patrick G., Echlin, McLean, Pollock, Tresa M., Singh, Saransh, and De Graef, Marc. Three-dimensional texture visualization approaches: theoretical analysis and examples. United States: N. p., 2017. Web. doi:10.1107/s1600576717001157.
Callahan, Patrick G., Echlin, McLean, Pollock, Tresa M., Singh, Saransh, & De Graef, Marc. Three-dimensional texture visualization approaches: theoretical analysis and examples. United States. doi:10.1107/s1600576717001157.
Callahan, Patrick G., Echlin, McLean, Pollock, Tresa M., Singh, Saransh, and De Graef, Marc. Tue . "Three-dimensional texture visualization approaches: theoretical analysis and examples". United States. doi:10.1107/s1600576717001157.
@article{osti_1536587,
title = {Three-dimensional texture visualization approaches: theoretical analysis and examples},
author = {Callahan, Patrick G. and Echlin, McLean and Pollock, Tresa M. and Singh, Saransh and De Graef, Marc},
abstractNote = {Crystallographic textures are commonly represented in terms of Euler angle triplets and contour plots of planar sections through Euler space. In this paper, the basic theory is provided for the creation of alternative orientation representations using three-dimensional visualizations. The use of homochoric, cubochoric, Rodrigues and stereographic orientation representations is discussed, and illustrations are provided of fundamental zones for all rotational point-group symmetries. A connection is made to the more traditional Euler space representations. An extensive set of three-dimensional visualizations in both standard and anaglyph movies is available.},
doi = {10.1107/s1600576717001157},
journal = {Journal of Applied Crystallography (Online)},
issn = {1600-5767},
number = 2,
volume = 50,
place = {United States},
year = {2017},
month = {3}
}

Works referenced in this record:

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Orientation mapping
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Rodrigues parameterization for orientation and misorientation distributions
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Improved representations of misorientation information for grain boundary science and engineering
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A new method of constructing a grid in the space of 3D rotations and its applications to texture analysis
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