Selling reduction versus Niggli reduction for crystallographic lattices
Abstract
The unit-cell reduction described by Selling and used by Delone (whose early publications were under the spelling Delaunay) is explained in a simple form. The transformations needed to implement the reduction are listed. The simplicity of this reduction contrasts with the complexity of Niggli reduction.
- Authors:
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1579421
- Alternate Identifier(s):
- OSTI ID: 1580352
- Grant/Contract Number:
- AC02-98CH10886; SC0012704; AC02-05CH11231; P41RR012408; P41GM103473; P41GM111244; R01GM117126
- Resource Type:
- Published Article
- Journal Name:
- Acta Crystallographica. Section A, Foundations and Advances (Online)
- Additional Journal Information:
- Journal Name: Acta Crystallographica. Section A, Foundations and Advances (Online) Journal Volume: 75 Journal Issue: 1; Journal ID: ISSN 2053-2733
- Publisher:
- International Union of Crystallography
- Country of Publication:
- Denmark
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; unit-cell reduction; Delaunay; Delone; Niggli; Selling
Citation Formats
Andrews, Lawrence C., Bernstein, Herbert J., and Sauter, Nicholas K. Selling reduction versus Niggli reduction for crystallographic lattices. Denmark: N. p., 2019.
Web. doi:10.1107/S2053273318015413.
Andrews, Lawrence C., Bernstein, Herbert J., & Sauter, Nicholas K. Selling reduction versus Niggli reduction for crystallographic lattices. Denmark. https://doi.org/10.1107/S2053273318015413
Andrews, Lawrence C., Bernstein, Herbert J., and Sauter, Nicholas K. Tue .
"Selling reduction versus Niggli reduction for crystallographic lattices". Denmark. https://doi.org/10.1107/S2053273318015413.
@article{osti_1579421,
title = {Selling reduction versus Niggli reduction for crystallographic lattices},
author = {Andrews, Lawrence C. and Bernstein, Herbert J. and Sauter, Nicholas K.},
abstractNote = {The unit-cell reduction described by Selling and used by Delone (whose early publications were under the spelling Delaunay) is explained in a simple form. The transformations needed to implement the reduction are listed. The simplicity of this reduction contrasts with the complexity of Niggli reduction.},
doi = {10.1107/S2053273318015413},
journal = {Acta Crystallographica. Section A, Foundations and Advances (Online)},
number = 1,
volume = 75,
place = {Denmark},
year = {2019},
month = {1}
}
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https://doi.org/10.1107/S2053273318015413
https://doi.org/10.1107/S2053273318015413
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Cited by: 3 works
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