Acta Crystallographica Section A

Volume 65, Part 3 (May 2009)


research papers



Acta Cryst. (2009). A65, 202-212    [ doi:10.1107/S0108767309006096 ]

Topological relations between three-periodic nets. II. Binodal nets

V. A. Blatov and D. M. Proserpio

Abstract: The TOPOS program package was used to generate all subnets of 3- to 12-coordinated binodal nets taken from the Reticular Chemistry Structure Resource database. 38 304 binodal nets with novel topologies were revealed and stored in the TTD collection. A new invariant, the adjacency matrix of the shell graph of a node, is proposed to distinguish the node local topology. With this invariant, the first six examples of binodal-quasi-uninodal nets were discovered. 4604 organic and metal-organic frameworks were analyzed to find examples of the topologies generated. It was shown that many edge-transitive nets as well as unknown topologies occur in crystal structures.

Keywords: topological relations; three-periodic nets; binodal nets; edge-transitive nets.


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Text file (41.7 kbytes)
[ doi:10.1107/S0108767309006096/eo5002sup1.txt ]
Crystallographic data in Systre input format


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Portable Document Format (PDF) file (120.6 kbytes)
[ doi:10.1107/S0108767309006096/eo5002sup2.pdf ]
Cycle sequences computed with TOPOS (corrected 26 June 2009)


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Portable Document Format (PDF) file (119.8 kbytes)
[ doi:10.1107/S0108767309006096/eo5002sup3.pdf ]
Cycle sequences computed with TOPOS (original file, 2 April 2009)


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