2014
DOI: 10.1103/physrevb.90.054102
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Proposed definition of crystal substructure and substructural similarity

Abstract: 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. A new method for decomposing crystal structures into substructures is given, and a similarity function between those substructures is defined. The similarity function is based upon both geometric and chemical similarity. This construction allows for large-scale data mining of substructural properties, and the an… Show more

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Cited by 36 publications
(37 citation statements)
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“…For instance, beyond the description of materials by space groups, a description by crystal structure prototypes can be essential and several algorithms have been developed 63,64 and applied toward probabilistic crystal structure prediction models. 65,66 Further methods include the development of the "symmetry functions" that capture two and three-body terms 67 and local environment descriptors 68 to characterize bonding details in crystals. "Fingerprints" representing the somewhat complex object of crystal structures have also been proposed to characterize the landscape of possible structures and as descriptors in data mining approaches.…”
Section: A Descriptors For Materials Structure and Propertiesmentioning
confidence: 99%
“…For instance, beyond the description of materials by space groups, a description by crystal structure prototypes can be essential and several algorithms have been developed 63,64 and applied toward probabilistic crystal structure prediction models. 65,66 Further methods include the development of the "symmetry functions" that capture two and three-body terms 67 and local environment descriptors 68 to characterize bonding details in crystals. "Fingerprints" representing the somewhat complex object of crystal structures have also been proposed to characterize the landscape of possible structures and as descriptors in data mining approaches.…”
Section: A Descriptors For Materials Structure and Propertiesmentioning
confidence: 99%
“…Atomic and molecular environment descriptors are also needed in the context of machine learning schemes for force fields, [36][37][38] bonding pattern recognition, 39 or to compare vacancy, interstitial, and intercalation sites. 40 These descriptors could also be used to measure similarities between structures. Even though they have never been used in this context, we will present a comparison with such a descriptor.…”
Section: Introductionmentioning
confidence: 99%
“…The structural and substructural similarity depends on the similarity of the coordination environment between two substructures. 95,97 The coordination environment tends to be similar among crystals of similar chemistries. 99 By quantifying the similarity of the predicted SnN structures to the observed Sn 3 N 4 structure, we identify the candidate SnN structure that possesses the most similar substructure coordination to Sn 3 N 4 .…”
mentioning
confidence: 99%