A simplified relationship between the modified O-lattice and the rotation matrix for generating the coincidence site lattice of an arbitrary Bravais lattice system

The coincidence site lattice (CSL) is important for characterizing the structure and energy state of grain boundaries in polycrystalline materials. A simplified relationship between the modified O-lattice and the corresponding rotation matrix is proposed to establish a general formula for the CSL an...

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Autor principal: Liu, Hongwei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: International Union of Crystallography 2022
Materias:
Research Papers
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8887391/
https://www.ncbi.nlm.nih.gov/pubmed/35230269
http://dx.doi.org/10.1107/S2053273322000171
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author Liu, Hongwei
author_facet Liu, Hongwei
author_sort Liu, Hongwei
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description The coincidence site lattice (CSL) is important for characterizing the structure and energy state of grain boundaries in polycrystalline materials. A simplified relationship between the modified O-lattice and the corresponding rotation matrix is proposed to establish a general formula for the CSL and the near coincidence site lattice (NCSL) in Bravais lattice systems. The general formula paves the way to computer simulation and crystallographic analysis of grain boundaries.
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spelling pubmed-88873912022-03-03 A simplified relationship between the modified O-lattice and the rotation matrix for generating the coincidence site lattice of an arbitrary Bravais lattice system Liu, Hongwei Acta Crystallogr A Found Adv Research Papers The coincidence site lattice (CSL) is important for characterizing the structure and energy state of grain boundaries in polycrystalline materials. A simplified relationship between the modified O-lattice and the corresponding rotation matrix is proposed to establish a general formula for the CSL and the near coincidence site lattice (NCSL) in Bravais lattice systems. The general formula paves the way to computer simulation and crystallographic analysis of grain boundaries. International Union of Crystallography 2022-02-18 /pmc/articles/PMC8887391/ /pubmed/35230269 http://dx.doi.org/10.1107/S2053273322000171 Text en © Hongwei Liu 2022 https://creativecommons.org/licenses/by/4.0/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.
spellingShingle Research Papers
Liu, Hongwei
A simplified relationship between the modified O-lattice and the rotation matrix for generating the coincidence site lattice of an arbitrary Bravais lattice system
title A simplified relationship between the modified O-lattice and the rotation matrix for generating the coincidence site lattice of an arbitrary Bravais lattice system
title_full A simplified relationship between the modified O-lattice and the rotation matrix for generating the coincidence site lattice of an arbitrary Bravais lattice system
title_fullStr A simplified relationship between the modified O-lattice and the rotation matrix for generating the coincidence site lattice of an arbitrary Bravais lattice system
title_full_unstemmed A simplified relationship between the modified O-lattice and the rotation matrix for generating the coincidence site lattice of an arbitrary Bravais lattice system
title_short A simplified relationship between the modified O-lattice and the rotation matrix for generating the coincidence site lattice of an arbitrary Bravais lattice system
title_sort simplified relationship between the modified o-lattice and the rotation matrix for generating the coincidence site lattice of an arbitrary bravais lattice system
topic Research Papers
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8887391/
https://www.ncbi.nlm.nih.gov/pubmed/35230269
http://dx.doi.org/10.1107/S2053273322000171
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