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

ABSTRACT: Chain, ribbon and tube silicates are based on one-dimensional polymerizations of (TO₄)^n- tetrahedra, where T = Si⁴⁺ plus P⁵⁺, V⁵⁺, As⁵⁺, Al³⁺, Fe³⁺ and B³⁺. Such polymerizations may be represented by infinite graphs (designated chain graphs) in which vertices represent tetrahedra and edges represent linkages between tetrahedra. The valence-sum rule of bond-valence theory limits the maximum degree of any vertex to 4 and the number of edges linking two vertices to 1 (corner-sharing tetrahedra). The unit cell (or repeat unit) of the chain graph generates the chain graph through action of translational symmetry operators. The (infinite) chain graph is converted into a finite graph by wrapping edg

SUBMITTER: Day MC 

PROVIDER: S-EPMC9062827 | biostudies-literature | 2022 May

REPOSITORIES: biostudies-literature