O'Keeffe M, Treacy MMJ. Isogonal 2-periodic polycatenanes: chain mail.
Acta Crystallogr A Found Adv 2024;
80:86-93. [PMID:
38031932 DOI:
10.1107/s2053273323009543]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/22/2023] [Accepted: 10/31/2023] [Indexed: 12/01/2023] Open
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.
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