Izvorni znanstveni članak

https://doi.org/10.5562/cca3790

“Pure-Polyhex” π-Networks: Topo-Combinatorics

Douglas J. Klein orcid.org/0000-0002-5354-0065 ; Department of Foundational Sciences, Texas A&M University at Galveston, TX 77553, USA
Bholanath Mandal ; Department of Chemistry, The University of Burdwan, Burdwan-713104, India

Sažetak

Structural possibilities are considered for what arguably is the most general class of connected “pure-polyhex” π-networks (of carbon atoms). These are viewed as hexagonal-network coverings (i.e., a tiling by hexagons) of a connected locally Euclidean surface S possibly with holes which can be simple cycles of sizes other than 6. The surface S can curve around to connect to itself in different ways, e.g., with handles of different sorts. This then includes ordinary benzenoids, coronoids, carbon nanotubes, bucky-tori, carbon nano-cones, carbon nano-belts, certain fullerenes & fulleroids, various benzenoid polymers, a great diversity of defected (disclinational or dislocational) graphene flakes, and many other novel pure-polyhexes. A topological classification is made, and several combinatorial conditions on chemical sub-structure counts are identified. These counts include that of “combinatorial curvature”, such as is related to curvature stresses, as also relate to the Gaussian curvatures of the embedding surface

This work is licensed under a Creative Commons Attribution 4.0 International License.

Ključne riječi

pure-polyhex networks; surface decorations; hexagonal coverings; Euler-Poincaré characteristics; Gaussian and combinatorial curvatures

Hrčak ID:

268047

URI

https://hrcak.srce.hr/268047

Datum izdavanja:

25.4.2021.

Posjeta: 1.095 *