Bond topology of chain, ribbon and tube silicates. Part I. Graph-theory generation of infinite one-dimensional arrangements of (TO4)n− tetrahedra

Day, M.C.; Hawthorne, F.C.

doi:10.1107/S2053273322001747

Acta Crystallographica Section A
Acta Crystallographica
Section A FOUNDATIONS AND ADVANCES

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Figure 7
(a) A chain graph with vertex connectivity ¹V₁³V₁, (b) the corresponding wrapped graph and (c) the corresponding adjacency matrix. (d) A chain graph with vertex connectivity ¹V₁²V₁³V₁, (e) the corresponding wrapped graph and (f) the corresponding adjacency matrix. Curved black arrows indicate how edges are wrapped in (a) and (d), and curved black lines represent wrapped edges in (b) and (e). Coloured arrows in (b) are not required as the loop on vertex 2 represents linkage to equivalent vertices (2′ and 2′′) in the +c and −c directions. Green and red arrows in (e) and matrix-element superscripts in (f) indicate the number and direction of wrapped edges. Dashed black lines show the repeat units of each chain graph.

FOUNDATIONS
ADVANCES

ISSN: 2053-2733

Volume 78| Part 3| May 2022| Pages 212-233

https://doi.org/10.1107/S2053273322001747

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