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Ab initio determination of a crystal structure by means of the Schrödinger equation

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dc.contributor.author Bethanis, K en
dc.contributor.author Tzamalis, P en
dc.contributor.author Hountas, A en
dc.contributor.author Tsoucaris, G en
dc.date.accessioned 2014-06-06T06:44:58Z
dc.date.available 2014-06-06T06:44:58Z
dc.date.issued 2002 en
dc.identifier.issn 01087673 en
dc.identifier.uri http://dx.doi.org/10.1107/S0108767302003781 en
dc.identifier.uri http://62.217.125.90/xmlui/handle/123456789/2187
dc.subject.other hydrogen en
dc.subject.other algorithm en
dc.subject.other article en
dc.subject.other calculation en
dc.subject.other crystal structure en
dc.subject.other crystallography en
dc.subject.other diffraction en
dc.subject.other mathematical model en
dc.subject.other quantum mechanics en
dc.subject.other structure analysis en
dc.subject.other theory en
dc.title Ab initio determination of a crystal structure by means of the Schrödinger equation en
heal.type journalArticle en
heal.identifier.primary 10.1107/S0108767302003781 en
heal.publicationDate 2002 en
heal.abstract It is shown that the use of the Schrödinger equation may lead to the ab initio determination of the positions of the nuclei in a crystal, given a limited number of diffracted-beam intensities. In particular, it is shown that an extremely simplified Schrödinger equation in physical momentum space provides a sufficiently sound theoretical basis to develop an algorithm using diffraction data alone. This algorithm has been tested with a known 41 atom crystalline structure (not including hydrogen atoms) in space group P1. The extracted information is sufficient to determine the positions of all atoms. In addition, theoretical developments relevant to the connection between momentum space in quantum mechanics and diffraction theory have been formulated. © 2002 International Union of Crystallography. en
heal.journalName Acta Crystallographica Section A: Foundations of Crystallography en
dc.identifier.issue 3 en
dc.identifier.volume 58 en
dc.identifier.doi 10.1107/S0108767302003781 en
dc.identifier.spage 265 en
dc.identifier.epage 269 en


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