Isogonal 2-periodic polycatenanes: chain mail

Michael O'keeffe, Michael M.J. Treacy

Research output: Contribution to journalArticlepeer-review

Abstract

For 2-periodic polycatenanes with isogonal (vertex-transitive) embeddings, the basic units linked are torus knots and links including the unknots (untangled polygons). Twenty-four infinite families have been identified, with hexagonal, tetragonal or rectangular symmetry. The simplest members of each family are described and illustrated. A method for determining the catenation number of a ring based on electromagnetic theory is described.

Original languageEnglish (US)
Pages (from-to)86-93
Number of pages8
JournalActa Crystallographica Section A: Foundations and Advances
Volume80
Issue number1 Pt
DOIs
StatePublished - Jan 1 2024

Keywords

  • chain mail
  • Gauss linking number
  • isogonal structures
  • layered structures
  • polycatenanes

ASJC Scopus subject areas

  • Structural Biology
  • Biochemistry
  • General Materials Science
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry
  • Inorganic Chemistry

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