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

Yuzhong Liu, Michael O'Keeffe, Michael M.J. Treacy, Omar M. Yaghi

Research output: Contribution to journalReview article

45 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)4642-4664
Number of pages23
JournalChemical Society Reviews
Issue number12
StatePublished - Jun 21 2018


ASJC Scopus subject areas

  • Chemistry(all)

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