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Structural Crystallography of Inorganic Oxysalts$
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Sergey V. Krivovichev

Print publication date: 2009

Print ISBN-13: 9780199213207

Published to Oxford Scholarship Online: May 2009

DOI: 10.1093/acprof:oso/9780199213207.001.1

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Graph theory applied to low-dimensional structural units in inorganic oxysalts

Graph theory applied to low-dimensional structural units in inorganic oxysalts

Chapter:
(p.6) 2 Graph theory applied to low-dimensional structural units in inorganic oxysalts
Source:
Structural Crystallography of Inorganic Oxysalts
Author(s):

Sergry V. Krivovichev

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199213207.003.0002

This chapter describes a multitude of low-dimensional (0-, 1-, and 2-D) structural units in inorganic oxysalts using graph theory. It shows that most topologies can be described as derivatives of several graphs that are termed basic. The derivation procedures include deleting vertices and/or edges, branching, recombination, etc. The concepts of geometrical and structural isomerism are discussed and these phenomena are analysed by means of orientation matrices. The chapter provides systematic treatment of low-dimensional topologies in inorganic oxysalts with over 400 references to the original literature that are critically analysed and re-considered from a topological point of view.

Keywords:   layers, chains, finite clusters, topology, graphs, symbolic low-dimension, isomerism

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