期刊
ACTA CRYSTALLOGRAPHICA SECTION A
卷 67, 期 -, 页码 240-251出版社
WILEY-BLACKWELL
DOI: 10.1107/S0108767311006179
关键词
periodic nets; non-crystallographic nets
资金
- CNPq, Conselho Nacional de Desenvolvimento e Pesquisa of Brazil
Non-crystallographic (NC) nets are defined as periodic nets whose automorphism groups are not isomorphic to any isometry group in Euclidean space. This work focuses on a simple class of NC nets, restricted to nets with non-abelian, freely acting local automorphism groups. A general method is presented to derive such NC nets from crystallographic nets and some non-trivial examples are explored. It is shown that the labelled quotient graph of these nets does not necessarily possess non-trivial automorphisms which exchange cycles having the same net voltage. However, barycentric representations of these nets systematically display vertex collisions.
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