Selling reduction versus Niggli reduction for crystallographic lattices

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 reduct...

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Detalles Bibliográficos
Autores principales: Andrews, Lawrence C., Bernstein, Herbert J., Sauter, Nicholas K.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: International Union of Crystallography 2019
Materias:
Research Papers
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6302928/
https://www.ncbi.nlm.nih.gov/pubmed/30575589
http://dx.doi.org/10.1107/S2053273318015413
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author Andrews, Lawrence C.
Bernstein, Herbert J.
Sauter, Nicholas K.
author_facet Andrews, Lawrence C.
Bernstein, Herbert J.
Sauter, Nicholas K.
author_sort Andrews, Lawrence C.
collection PubMed
description 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.
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spelling pubmed-63029282019-01-15 Selling reduction versus Niggli reduction for crystallographic lattices Andrews, Lawrence C. Bernstein, Herbert J. Sauter, Nicholas K. Acta Crystallogr A Found Adv Research Papers 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. International Union of Crystallography 2019-01-01 /pmc/articles/PMC6302928/ /pubmed/30575589 http://dx.doi.org/10.1107/S2053273318015413 Text en © Lawrence C. Andrews et al. 2019 http://creativecommons.org/licenses/by/2.0/uk/ This is an open-access article distributed under the terms of the Creative Commons Attribution (CC-BY) Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.http://creativecommons.org/licenses/by/2.0/uk/
spellingShingle Research Papers
Andrews, Lawrence C.
Bernstein, Herbert J.
Sauter, Nicholas K.
Selling reduction versus Niggli reduction for crystallographic lattices
title Selling reduction versus Niggli reduction for crystallographic lattices
title_full Selling reduction versus Niggli reduction for crystallographic lattices
title_fullStr Selling reduction versus Niggli reduction for crystallographic lattices
title_full_unstemmed Selling reduction versus Niggli reduction for crystallographic lattices
title_short Selling reduction versus Niggli reduction for crystallographic lattices
title_sort selling reduction versus niggli reduction for crystallographic lattices
topic Research Papers
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6302928/
https://www.ncbi.nlm.nih.gov/pubmed/30575589
http://dx.doi.org/10.1107/S2053273318015413
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