The topology of fullerenes
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The topology of fullerenes. / Schwerdtfeger, Peter; Wirz, Lukas; Avery, James Emil.
In: Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 5, No. 1, 01.11.2014, p. 96-145.Research output: Contribution to journal › Journal article › peer-review
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TY - JOUR
T1 - The topology of fullerenes
AU - Schwerdtfeger, Peter
AU - Wirz, Lukas
AU - Avery, James Emil
PY - 2014/11/1
Y1 - 2014/11/1
N2 - 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.
AB - 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.
U2 - 10.1002/wcms.1207
DO - 10.1002/wcms.1207
M3 - Journal article
C2 - 25678935
VL - 5
SP - 96
EP - 145
JO - Wiley Interdisciplinary Reviews: Computational Molecular Science
JF - Wiley Interdisciplinary Reviews: Computational Molecular Science
SN - 1759-0876
IS - 1
ER -
ID: 126351771