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Title: 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) (SC-22)
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:
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. doi:10.1107/S2053273318015413.
Andrews, Lawrence C., Bernstein, Herbert J., and Sauter, Nicholas K. Tue . "Selling reduction versus Niggli reduction for crystallographic lattices". Denmark. doi: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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1107/S2053273318015413

Citation Metrics:
Cited by: 1 work
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Works referenced in this record:

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