期刊
ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES
卷 68, 期 -, 页码 484-493出版社
INT UNION CRYSTALLOGRAPHY
DOI: 10.1107/S0108767312019034
关键词
crystal networks; interpenetration; polycatenation; self-catenation; Hopf ring net
资金
- Cariplo Foundation
- Landau Network - Centro Volta (Como, Italy)
- MIUR
A rigorous method is proposed to describe and classify the topology of entanglements between periodic networks if the links are of the Hopf type. The catenation pattern is unambiguously identified by a net of barycentres of catenating rings with edges corresponding to the Hopf links; this net is called the Hopf ring net. The Hopf ring net approach is compared with other methods of characterizing entanglements; a number of applications of this approach to various kinds of entanglement (interpenetration, polycatenation and self-catenation) both in modelled network arrays and in coordination networks are considered.
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