Bond topology of chain, ribbon and tube silicates. Part II. Geometrical analysis of infinite 1D arrangements of (TO4)n− tetrahedra

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

doi:10.1107/S2053273324002432

Acta Crystallographica Section A
Acta Crystallographica
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Figure 16
(a) A ²V₁ chain graph with e/n = 1.0. One may attempt to decrease e/n by adding the green vertex to the chain graph in (a), but this requires that an edge (red dashed line) also be added, showing that for any chain graph, e/n cannot be less than 1.0. (b) A ⁴V₂ chain graph with e/n = 2.0. One may attempt to increase e/n by adding an edge (red dashed line) linking vertices 1 and 2. However, this results in 5-connected vertices (shown with red ellipses) which are not allowed, and thus for any chain graph, e/n cannot exceed 2.0. Legend as in Fig. 10

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ISSN: 2053-2733

Volume 80| Part 3| May 2024| Pages 258-281

https://doi.org/10.1107/S2053273324002432

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