Issue 12, 2018

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

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

Article information

Article type
Review Article
Submitted
30 Sep 2017
First published
04 Mai 2018

Chem. Soc. Rev., 2018,47, 4642-4664

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, 47, 4642 DOI: 10.1039/C7CS00695K

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