Isogonal non‐crystallographic periodic graphs based on knotted sodalite cages. Issue 6 (29th October 2020)

• Record Type: Journal Article
• Authors: Delgado-Friedrichs, Olaf; O'Keeffe, Michael; Treacy, Michael M. J.
• Is Part Of: Acta crystallographica. Volume 76:Issue 6(2020:Nov.)
• Page Start: 735
• Page End: 738
• Publication Date: 2020-10-29
• Subjects: knotted zeolite frameworks -- linked zeolite frameworks -- non‐crystallographic symmetry -- Systre; Crystallography -- Periodicals; Condensed matter -- Periodicals; 548
• DOI: 10.1107/S2053273320012905
• Languages: English
• ISSNs: 2053-2733

Abstract

Abstract : Knotted and linked zeolite framework types, based on the sodalite cage (truncated octahedron), are described. Such structures exhibit non‐crystallographic symmetry. Abstract : This work considers non‐crystallographic periodic nets obtained from multiple identical copies of an underlying crystallographic net by adding or flipping edges so that the result is connected. Such a structure is called a `ladder' net here because the 1‐periodic net shaped like an ordinary (infinite) ladder is a particularly simple example. It is shown how ladder nets with no added edges between layers can be generated from tangled polyhedra. These are simply related to the zeolite nets SOD, LTA and FAU . They are analyzed using new extensions of algorithms in the program Systre that allow unambiguous identification of locally stable ladder nets.