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Rigid, flexible and impossible zeolite and related structures
Author(s) -
M. O’Keeffe
Publication year - 2013
Publication title -
philosophical transactions of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.074
H-Index - 169
eISSN - 1471-2962
pISSN - 1364-503X
DOI - 10.1098/rsta.2012.0034
Subject(s) - tetrahedron , embedding , flexibility (engineering) , topology (electrical circuits) , symmetry (geometry) , computer science , mathematics , pure mathematics , geometry , combinatorics , artificial intelligence , statistics
The flexibility or otherwise of periodic tetrahedral TX2 frameworks formed by corner-sharing regular TX4 tetrahedra is discussed. In particular, when T-X-T angle constraints are included, a suitable embedding can often only be found, if at all, in an symmetry less than the maximum possible for that topology. Examples illustrating this are adduced.

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