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The geometry of periodic knots, polycatenanes and weaving from a chemical perspective: a library for reticular chemistry

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Abstract

The geometry of simple knots and catenanes is described using the concept of linear line segments (sticks) joined at corners. This is extended to include woven linear threads as members of the extended family of knots. The concept of transitivity that can be used as a measure of regularity is explained. Then a review is given of the simplest, most ‘regular’ 2- and 3-periodic patterns of polycatenanes and weavings. Occurrences in crystal structures are noted but most structures are believed to be new and ripe targets for designed synthesis.

Graphical abstract: The geometry of periodic knots, polycatenanes and weaving from a chemical perspective: a library for reticular chemistry

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Publication details

The article was received on 30 Sep 2017 and first published on 04 May 2018


Article type: Review Article
DOI: 10.1039/C7CS00695K
Citation: Chem. Soc. Rev., 2018, Advance Article
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    The geometry of periodic knots, polycatenanes and weaving from a chemical perspective: a library for reticular chemistry

    Y. Liu, M. O'Keeffe, M. M. J. Treacy and O. M. Yaghi, Chem. Soc. Rev., 2018, Advance Article , DOI: 10.1039/C7CS00695K

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