The topology of fullerenes

Peter Schwerdtfeger; Lukas Wirz; James Emil Avery

doi:10.1002/wcms.1207

The topology of fullerenes

Peter Schwerdtfeger, Lukas Wirz, James Emil Avery

eScience

114 Citationer (Scopus)

276 Downloads (Pure)

Abstract

Fullerenes are carbon molecules that form polyhedral cages. Their bond structures are exactly the planar cubic graphs that have only pentagon and hexagon faces. Strikingly, a number of chemical properties of a fullerene can be derived from its graph structure. A rich mathematics of cubic planar graphs and fullerene graphs has grown since they were studied by Goldberg, Coxeter, and others in the early 20th century, and many mathematical properties of fullerenes have found simple and beautiful solutions. Yet many interesting chemical and mathematical problems in the field remain open. In this paper, we present a general overview of recent topological and graph theoretical developments in fullerene research over the past two decades, describing both solved and open problems.

Originalsprog	Engelsk
Tidsskrift	Wiley Interdisciplinary Reviews: Computational Molecular Science
Vol/bind	5
Udgave nummer	1
Sider (fra-til)	96-145
ISSN	1759-0876
DOI	https://doi.org/10.1002/wcms.1207
Status	Udgivet - 1 jan. 2015

Adgang til dokumentet

10.1002/wcms.1207Licens: CC BY-NC-ND

Schwerdtfeger_et_al-2015-Wiley_Interdisciplinary_Reviews-_Computational_Molecular_ScienceForlagets udgivne version, 4,89 MBLicens: CC BY-ND

Citationsformater

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