Space fullerenes: computer search for new Frank–Kasper structures
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منابع مشابه
Space fullerenes: a computer search for new Frank-Kasper structures.
A Frank-Kasper structure is a 3-periodic tiling of the Euclidean space E3 by 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 2...
متن کاملSpace fullerenes: computer search for new Frank–Kasper structures II
A Frank–Kasper structure is a 3-periodic tiling of the Euclidean space E by tetrahedra such that the vertex figure of any vertex belongs to four specified fullerenes with, respectively, 12, 14, 15, and 16 faces. Frank–Kasper structures occur in the crystallography of metallic alloys, clathrates, zeolites, and in geometrical optimization. 27 such physical structures are known. In Dutour et ai. (...
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