Proposed definition of crystal substructure and substructural similarity

There is a clear need for a practical and mathematically rigorous description of local structure in inorganic compounds so that structures and chemistries can be easily compared across large data sets. Here a method for decomposing crystal structures into substructures is given, and a similarity fun...

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Main Authors: Yang, Lusann, Ceder, Gerbrand, Dacek, Stephen Thomas
Other Authors: Massachusetts Institute of Technology. Department of Materials Science and Engineering
Format: Article
Language:English
Published: American Physical Society 2014
Online Access:http://hdl.handle.net/1721.1/88674
https://orcid.org/0000-0002-7737-1278
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author Yang, Lusann
Ceder, Gerbrand
Dacek, Stephen Thomas
author2 Massachusetts Institute of Technology. Department of Materials Science and Engineering
author_facet Massachusetts Institute of Technology. Department of Materials Science and Engineering
Yang, Lusann
Ceder, Gerbrand
Dacek, Stephen Thomas
author_sort Yang, Lusann
collection MIT
description There is a clear need for a practical and mathematically rigorous description of local structure in inorganic compounds so that structures and chemistries can be easily compared across large data sets. Here a method for decomposing crystal structures into substructures is given, and a similarity function between those substructures is defined. The similarity function is based on both geometric and chemical similarity. This construction allows for large-scale data mining of substructural properties, and the analysis of substructures and void spaces within crystal structures. The method is validated via the prediction of Li-ion intercalation sites for the oxides. Tested on databases of known Li-ion-containing oxides, the method reproduces all Li-ion sites in an oxide with a maximum of 4 incorrect guesses 80% of the time.
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spelling mit-1721.1/886742022-09-30T21:37:25Z Proposed definition of crystal substructure and substructural similarity Yang, Lusann Ceder, Gerbrand Dacek, Stephen Thomas Massachusetts Institute of Technology. Department of Materials Science and Engineering Yang, Lusann Dacek, Stephen Thomas Ceder, Gerbrand There is a clear need for a practical and mathematically rigorous description of local structure in inorganic compounds so that structures and chemistries can be easily compared across large data sets. Here a method for decomposing crystal structures into substructures is given, and a similarity function between those substructures is defined. The similarity function is based on both geometric and chemical similarity. This construction allows for large-scale data mining of substructural properties, and the analysis of substructures and void spaces within crystal structures. The method is validated via the prediction of Li-ion intercalation sites for the oxides. Tested on databases of known Li-ion-containing oxides, the method reproduces all Li-ion sites in an oxide with a maximum of 4 incorrect guesses 80% of the time. National Science Foundation (U.S.) (SI2-SSI Collaborative Research program Award OCI-1147503) United States. Dept. of Energy. Office of Basic Energy Sciences (Grant EDCBEE) 2014-08-11T17:53:13Z 2014-08-11T17:53:13Z 2014-08 2014-07 2014-08-05T22:00:02Z Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/88674 Yang, Lusann, Stephen Dacek, and Gerbrand Ceder. “Proposed definition of crystal substructure and substructural similarity.” Physical Review B 90, no. 5 (August 2014). © 2014 American Physical Society https://orcid.org/0000-0002-7737-1278 en http://dx.doi.org/10.1103/PhysRevB.90.054102 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Yang, Lusann
Ceder, Gerbrand
Dacek, Stephen Thomas
Proposed definition of crystal substructure and substructural similarity
title Proposed definition of crystal substructure and substructural similarity
title_full Proposed definition of crystal substructure and substructural similarity
title_fullStr Proposed definition of crystal substructure and substructural similarity
title_full_unstemmed Proposed definition of crystal substructure and substructural similarity
title_short Proposed definition of crystal substructure and substructural similarity
title_sort proposed definition of crystal substructure and substructural similarity
url http://hdl.handle.net/1721.1/88674
https://orcid.org/0000-0002-7737-1278
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