Polyhedra, Tiles and Graphene Defects: The Case of Tetraoctite

This mini review concerns hydrocarbons, (CH)n, and carbon allotropes, Cn, and their relationships with regular solids and regular surfaces, respectively. Platonic and Archimedean solids and surfaces related to carbon allotropes are described as an introduction. An overview is then provided on how Stone-Wales defects lead to a series of structures: pentaheptite, Haeckelite, net C, net W, planar C-4, biphenylene, graphyne, graphdiyne, and tetraoctite. This last compound is discussed in detail together with its relation to the Mills-Nixon effect on cyclooctatetraene (COT).

Automated summary

This mini review focuses on the relationships between hydrocarbons and carbon allotropes with regular solids and surfaces. It introduces Platonic and Archimedean solids and surfaces related to carbon allotropes, and provides an overview of how Stone-Wales defects result in a series of structures. The compound tetraoctite and its relation to the Mills-Nixon effect on cyclooctatetraene (COT) are discussed in detail.