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A note on the distortion theorem
Author(s) -
Nickolsky M. S.
Publication year - 2017
Publication title -
acta crystallographica section b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.604
H-Index - 33
ISSN - 2052-5206
DOI - 10.1107/s205252061700912x
Subject(s) - distortion (music) , mathematics , bond , extension (predicate logic) , bond length , pure mathematics , computer science , crystallography , economics , chemistry , crystal structure , computer network , amplifier , bandwidth (computing) , finance , programming language
The distortion theorem is a conditional statement that establishes the certain relations between the variation of the mean bond length and the variation of the valence of a central ion of a coordination polyhedron. It was found that in some principal cases the conditional part of the distortion theorem is not necessary. A combinatorial evaluation of the distortion theorem and a theoretical analysis of the bond length–bond valence correlation were performed. An extension of the distortion theorem is proposed.