Crystal nets as graphs: Terminology and definitions

Olaf Delgado-Friedrichs; Michael O'Keeffe

doi:10.1016/j.jssc.2005.06.011

Crystal nets as graphs: Terminology and definitions

Olaf Delgado-Friedrichs, Michael O'Keeffe^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

173 Citations (Scopus)

Abstract

Definitions from graph theory relevant the nets of crystal chemistry are presented. The subject has developed spordically, with contribution from chemists, crystallographers and mathematicians often working in ignorance of each others contribution. The coordination number of a vertex is the number of edges incident on the vertex. In graph theory the coordination number is also called the 'valence' or 'degree'.

Original language	English
Pages (from-to)	2480-2485
Number of pages	6
Journal	Journal of Solid State Chemistry
Volume	178
Issue number	8 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.jssc.2005.06.011
Publication status	Published - Aug 2005
Externally published	Yes

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10.1016/j.jssc.2005.06.011

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title = "Crystal nets as graphs: Terminology and definitions",

abstract = "Definitions from graph theory relevant the nets of crystal chemistry are presented. The subject has developed spordically, with contribution from chemists, crystallographers and mathematicians often working in ignorance of each others contribution. The coordination number of a vertex is the number of edges incident on the vertex. In graph theory the coordination number is also called the 'valence' or 'degree'.",

keywords = "Graphs, Nets",

author = "Olaf Delgado-Friedrichs and Michael O'Keeffe",

year = "2005",

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T2 - Terminology and definitions

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AU - O'Keeffe, Michael

PY - 2005/8

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N2 - Definitions from graph theory relevant the nets of crystal chemistry are presented. The subject has developed spordically, with contribution from chemists, crystallographers and mathematicians often working in ignorance of each others contribution. The coordination number of a vertex is the number of edges incident on the vertex. In graph theory the coordination number is also called the 'valence' or 'degree'.

AB - Definitions from graph theory relevant the nets of crystal chemistry are presented. The subject has developed spordically, with contribution from chemists, crystallographers and mathematicians often working in ignorance of each others contribution. The coordination number of a vertex is the number of edges incident on the vertex. In graph theory the coordination number is also called the 'valence' or 'degree'.

KW - Graphs

KW - Nets

UR - https://www.scopus.com/pages/publications/23844510873

U2 - 10.1016/j.jssc.2005.06.011

DO - 10.1016/j.jssc.2005.06.011

M3 - Article

SN - 0022-4596

VL - 178

SP - 2480

EP - 2485

JO - Journal of Solid State Chemistry

JF - Journal of Solid State Chemistry

IS - 8 SPEC. ISS.

ER -

Crystal nets as graphs: Terminology and definitions

Abstract

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