Isogonal non-crystallographic periodic graphs based on knotted sodalite cages
| Autor: | Michael O'Keeffe, Olaf Delgado-Friedrichs, Michael Treacy |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Isogonal figure Structure (category theory) 010402 general chemistry 010403 inorganic & nuclear chemistry Condensed Matter Physics 01 natural sciences Biochemistry 0104 chemical sciences Inorganic Chemistry Crystallography chemistry.chemical_compound Polyhedron chemistry Structural Biology Simple (abstract algebra) Sodalite Net (polyhedron) General Materials Science Physical and Theoretical Chemistry |
| Zdroj: | Acta crystallographica. Section A, Foundations and advances. 76(Pt 6) |
| ISSN: | 2053-2733 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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