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Structural characteristics of gas hydrates within the framework of generalized crystallography

Structural characteristics of gas hydrates within the framework of generalized crystallography Abstract It is shown that the symmetry of the {5, 3, 3} polytope (four-dimensional dodecahedron) embedded into E 4 enables one to derive all the polyhedra—cavities that make up gas hydrates from the {5, 3} dodecahedron. Consideration is given to the allomorphic embedding of the {5, 3} subgraph into the incidence graph of the Desargues configuration 103, which determines the mechanism of incorporation of guest molecules into the polyhedra—cavities of gas hydrates and their escape from these polyhedra at the symmetry level. The relationships obtained may be considered as a basis for an a priori derivation of the determined (periodic and aperiodic) structures of gas hydrates. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Crystallography Reports Springer Journals

Structural characteristics of gas hydrates within the framework of generalized crystallography

Crystallography Reports , Volume 48 (3): 4 – May 1, 2003

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References (9)

Publisher
Springer Journals
Copyright
2003 MAIK "Nauka/Interperiodica"
ISSN
1063-7745
eISSN
1562-689X
DOI
10.1134/1.1578111
Publisher site
See Article on Publisher Site

Abstract

Abstract It is shown that the symmetry of the {5, 3, 3} polytope (four-dimensional dodecahedron) embedded into E 4 enables one to derive all the polyhedra—cavities that make up gas hydrates from the {5, 3} dodecahedron. Consideration is given to the allomorphic embedding of the {5, 3} subgraph into the incidence graph of the Desargues configuration 103, which determines the mechanism of incorporation of guest molecules into the polyhedra—cavities of gas hydrates and their escape from these polyhedra at the symmetry level. The relationships obtained may be considered as a basis for an a priori derivation of the determined (periodic and aperiodic) structures of gas hydrates.

Journal

Crystallography ReportsSpringer Journals

Published: May 1, 2003

Keywords: Crystallography and Scattering Methods

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