Three-dimensional texture visualization approaches: theoretical analysis and examples

Callahan, Patrick G.; Echlin, McLean; Pollock, Tresa M.; Singh, Saransh; De Graef, Marc

doi:10.1107/s1600576717001157

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

Journal Article · Tue Mar 07 00:00:00 EST 2017 · Journal of Applied Crystallography (Online)

DOI:https://doi.org/10.1107/s1600576717001157· OSTI ID:1536587

Callahan, Patrick G.; Echlin, McLean; Pollock, Tresa M.; Singh, Saransh; De Graef, Marc

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.

Cite

Export

Save

Research Organization:: Univ. of California, Santa Barbara, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

DOE Contract Number:: NA0002910

OSTI ID:: 1536587

Journal Information:: Journal of Applied Crystallography (Online), Vol. 50, Issue 2; ISSN 1600-5767

Publisher:: International Union of Crystallography

Country of Publication:: United States

Language:: English

References (9)

Crystallographic texture approximation by quadratic programming Böhlke, Thomas; Haus, Utz-Uwe; Schulze, Volker Acta Materialia, Vol. 54, Issue 5 https://doi.org/10.1016/j.actamat.2005.11.009	journal	March 2006
Orientation mapping Frank, F. C. Metallurgical Transactions A, Vol. 19, Issue 3 https://doi.org/10.1007/BF02649253	journal	March 1988
A unique description of the relative orientation of neighbouring grains Grimmer, H. Acta Crystallographica Section A, Vol. 36, Issue 3 https://doi.org/10.1107/S0567739480000861	journal	May 1980
Representation of orientation and disorientation data for cubic, hexagonal, tetragonal and orthorhombic crystals Heinz, A.; Neumann, P. Acta Crystallographica Section A Foundations of Crystallography, Vol. 47, Issue 6 https://doi.org/10.1107/S0108767391006864	journal	November 1991
Rodrigues parameterization for orientation and misorientation distributions Morawiec, A.; Field, D. P. Philosophical Magazine A, Vol. 73, Issue 4 https://doi.org/10.1080/01418619608243708	journal	April 1996
Improved representations of misorientation information for grain boundary science and engineering Patala, Srikanth; Mason, Jeremy K.; Schuh, Christopher A. Progress in Materials Science, Vol. 57, Issue 8 https://doi.org/10.1016/j.pmatsci.2012.04.002	journal	November 2012
New uniform grids on the sphere Roşca, D. Astronomy and Astrophysics, Vol. 520 https://doi.org/10.1051/0004-6361/201015278	journal	September 2010
A new method of constructing a grid in the space of 3D rotations and its applications to texture analysis Roşca, D.; Morawiec, A.; De Graef, M. Modelling and Simulation in Materials Science and Engineering, Vol. 22, Issue 7 https://doi.org/10.1088/0965-0393/22/7/075013	journal	October 2014
Consistent representations of and conversions between 3D rotations Rowenhorst, D.; Rollett, A. D.; Rohrer, G. S. Modelling and Simulation in Materials Science and Engineering, Vol. 23, Issue 8 https://doi.org/10.1088/0965-0393/23/8/083501	journal	October 2015

Similar Records

Analytical representations of deformation texture gradients in ceramic superconductors

Book · Sat Dec 31 00:00:00 EST 1994 · OSTI ID:1536587

Rajan, K; Bhattacharyya, D; Gao, W

Three-dimensional visualization for evaluating automated, geomorphic pattern-recognition analyses of crustal structures

Conference · Fri Feb 01 00:00:00 EST 1991 · OSTI ID:1536587

Foley, M G

Bilinear magnetoelectric resistance as a probe of three-dimensional spin texture in topological surface states

Journal Article · Mon Feb 05 00:00:00 EST 2018 · Nature Physics · OSTI ID:1536587

He, Pan; Zhang, Steven S. -L.; Zhu, Dapeng; +5 more

Related Subjects

Chemistry
Crystallography

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

Citation Formats

References (9)

Similar Records

Related Subjects