Partial order among the 14 Bravais types of lattices: basics and applications

Neither International Tables for Crystallography (ITC) nor available crystallography textbooks state explicitly which of the 14 Bravais types of lattices are special cases of others, although ITC contains the information necessary to derive the result in two ways, considering either the symmetry or...

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Autor principal: Grimmer, Hans
Formato: Online Artículo Texto
Lenguaje:English
Publicado: International Union of Crystallography 2015
Materias:
Research Papers
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4345549/
https://www.ncbi.nlm.nih.gov/pubmed/25727862
http://dx.doi.org/10.1107/S2053273314027351
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author Grimmer, Hans
author_facet Grimmer, Hans
author_sort Grimmer, Hans
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description Neither International Tables for Crystallography (ITC) nor available crystallography textbooks state explicitly which of the 14 Bravais types of lattices are special cases of others, although ITC contains the information necessary to derive the result in two ways, considering either the symmetry or metric properties of the lattices. The first approach is presented here for the first time, the second has been given by Michael Klemm in 1982. Metric relations between conventional bases of special and general lattice types are tabulated and applied to continuous equi-translation phase transitions.
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spelling pubmed-43455492015-03-03 Partial order among the 14 Bravais types of lattices: basics and applications Grimmer, Hans Acta Crystallogr A Found Adv Research Papers Neither International Tables for Crystallography (ITC) nor available crystallography textbooks state explicitly which of the 14 Bravais types of lattices are special cases of others, although ITC contains the information necessary to derive the result in two ways, considering either the symmetry or metric properties of the lattices. The first approach is presented here for the first time, the second has been given by Michael Klemm in 1982. Metric relations between conventional bases of special and general lattice types are tabulated and applied to continuous equi-translation phase transitions. International Union of Crystallography 2015-01-29 /pmc/articles/PMC4345549/ /pubmed/25727862 http://dx.doi.org/10.1107/S2053273314027351 Text en © Hans Grimmer 2015 http://creativecommons.org/licenses/by/2.0/uk/ This is an open-access article distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.
spellingShingle Research Papers
Grimmer, Hans
Partial order among the 14 Bravais types of lattices: basics and applications
title Partial order among the 14 Bravais types of lattices: basics and applications
title_full Partial order among the 14 Bravais types of lattices: basics and applications
title_fullStr Partial order among the 14 Bravais types of lattices: basics and applications
title_full_unstemmed Partial order among the 14 Bravais types of lattices: basics and applications
title_short Partial order among the 14 Bravais types of lattices: basics and applications
title_sort partial order among the 14 bravais types of lattices: basics and applications
topic Research Papers
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4345549/
https://www.ncbi.nlm.nih.gov/pubmed/25727862
http://dx.doi.org/10.1107/S2053273314027351
work_keys_str_mv AT grimmerhans partialorderamongthe14bravaistypesoflatticesbasicsandapplications

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