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
Section A FOUNDATIONS AND ADVANCES

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Figure 7
(a) A ⁴V₂ unit-distance graph in which the 1–2 and 1–1 (2–2) edges are of different length; (b), (c) the unit-distance graph in (a) in which vertices 1 and 2 are moved towards each other to reduce the difference in edge lengths; (d) the unit-distance graph in (a) in which vertices 1 and 2 are moved to the same position to make the edge lengths the same. Note how the 1–2 and 1–1 (2–2) edges cannot be equal until θ = 0° and vertices 1 and 2 occupy the same position, and thus this unit-distance graph is non-equalizable in 2D. Colouring and labelling are explained in Section 4.2.1

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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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