2005
DOI: 10.1107/s0108768104028344
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Method for the computational comparison of crystal structures

Abstract: A new method for assessing the similarity of crystal structures is described. A similarity measure is important in classification and clustering problems in which the crystal structures are the source of information. Classification is particularly important for the understanding of properties of crystals, while clustering can be used as a data reduction step in polymorph prediction. The method described uses a radial distribution function that combines atomic coordinates with partial atomic charges. The descri… Show more

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Cited by 45 publications
(33 citation statements)
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“…7, and remains a good match if the sample size is increased to 30 molecules. This type of conflict between a good visual match and non-agreement of the space group of the MGAC match and the experiment crystal structure was previously mentioned for the case of GAHPIO and is also discussed below for the case of CBMZPN and exemplify the issues encountered when comparing crystal structures 65. No match was found for the BANGOM02 polymorph.…”
Section: Resultsmentioning
confidence: 91%
“…7, and remains a good match if the sample size is increased to 30 molecules. This type of conflict between a good visual match and non-agreement of the space group of the MGAC match and the experiment crystal structure was previously mentioned for the case of GAHPIO and is also discussed below for the case of CBMZPN and exemplify the issues encountered when comparing crystal structures 65. No match was found for the BANGOM02 polymorph.…”
Section: Resultsmentioning
confidence: 91%
“…Other methods developed for crystal structures have been developed too, for example, using a radial distribution functions [56], which capture the packing of organic crystal structures. Such approaches have been used to cluster crystal structures [57] and compare properties [58].…”
Section: A Categorization Of Descriptorsmentioning
confidence: 99%
“…The works of Willighagen and Oganov combine radial distribution functions with ion-specific information such as charge state or neutron scattering length to describe crystal structure. 5,6 De Gelder derives his similarity function using weighted cross correlations of the powder diffraction pattern, 7 while Rupp et al have used a matrix representation of structure based upon the Coulomb interaction between ions.…”
Section: Introductionmentioning
confidence: 99%