期刊
ACTA CRYSTALLOGRAPHICA SECTION A
卷 66, 期 -, 页码 637-639出版社
WILEY-BLACKWELL
DOI: 10.1107/S0108767310029363
关键词
simple tilings; fullerenes; Frank-Kasper phases
资金
- US National Science Foundation [DMR 0804828]
Thirteen tilings of space by simple polyhedra with five- and six-sided faces (`fullerenes') are reported in which there are up to 11 kinds of vertex (vertex 11-transitive). All tilings contain dodecahedra and one or more of nine other kinds of tile. The duals are tilings by tetrahedra and include the four simplest of the known Frank-Kasper intermetallic structure phases. A fifth structure involving just the Frank-Kasper coordination polyhedra has a higher average coordination number than any known or postulated Frank-Kasper phase.
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