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Space fullerenes: A computer search for new Frank-Kasper structures

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Sikiric, Mathieu Dutour; Delgado-Friedrichs, Olaf; Deza, Michel

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A Frank-Kasper structure is a 3-periodic tiling of the Euclidean space E3by tetrahedra such that the vertex figure of any vertex belongs to four specified patterns with, respectively, 20, 24, 26 and 28 faces. Frank-Kasper structures occur in the crystallography of metallic alloys and clathrates. A new computer enumeration method has been devised for obtaining Frank-Kasper structures of up to 20 cells in a reduced fundamental domain. Here, the 84 obtained structures have been compared with the...[Show more]

dc.contributor.authorSikiric, Mathieu Dutour
dc.contributor.authorDelgado-Friedrichs, Olaf
dc.contributor.authorDeza, Michel
dc.date.accessioned2015-12-10T21:54:45Z
dc.identifier.issn0108-7673
dc.identifier.urihttp://hdl.handle.net/1885/39066
dc.description.abstractA Frank-Kasper structure is a 3-periodic tiling of the Euclidean space E3by tetrahedra such that the vertex figure of any vertex belongs to four specified patterns with, respectively, 20, 24, 26 and 28 faces. Frank-Kasper structures occur in the crystallography of metallic alloys and clathrates. A new computer enumeration method has been devised for obtaining Frank-Kasper structures of up to 20 cells in a reduced fundamental domain. Here, the 84 obtained structures have been compared with the known 27 physical structures and the known special constructions by Frank-Kasper-Sullivan, Shoemaker-Shoemaker, Sadoc-Mosseri and Deza-Shtogrin.
dc.publisherMunksgaard International Publishers
dc.sourceActa Crystallographica Section A: Foundations of Crystallography
dc.subjectKeywords: Delaney symbols; exhaustive enumeration; Frank-Kasper structures
dc.titleSpace fullerenes: A computer search for new Frank-Kasper structures
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume66
dc.date.issued2010
local.identifier.absfor039999 - Chemical Sciences not elsewhere classified
local.identifier.ariespublicationf2965xPUB171
local.type.statusPublished Version
local.contributor.affiliationSikiric, Mathieu Dutour, Rudjer Boskovic Institute
local.contributor.affiliationDelgado-Friedrichs, Olaf, Administrative Division, ANU
local.contributor.affiliationDeza, Michel, Ecole Normale Superieure
local.description.embargo2037-12-31
local.bibliographicCitation.issue5
local.bibliographicCitation.startpage602
local.bibliographicCitation.lastpage615
local.identifier.doi10.1107/S0108767310022932
dc.date.updated2016-02-24T08:16:23Z
local.identifier.scopusID2-s2.0-77955891223
CollectionsANU Research Publications

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