The topology of fullerenes

Research output: Contribution to journalJournal articleResearchpeer-review

Standard

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 journalJournal articleResearchpeer-review

Harvard

Schwerdtfeger, P, Wirz, L & Avery, JE 2014, 'The topology of fullerenes' Wiley Interdisciplinary Reviews: Computational Molecular Science, vol. 5, no. 1, pp. 96-145. https://doi.org/10.1002/wcms.1207

APA

Schwerdtfeger, P., Wirz, L., & Avery, J. E. (2014). The topology of fullerenes. Wiley Interdisciplinary Reviews: Computational Molecular Science, 5(1), 96-145. https://doi.org/10.1002/wcms.1207

Vancouver

Schwerdtfeger P, Wirz L, Avery JE. The topology of fullerenes. Wiley Interdisciplinary Reviews: Computational Molecular Science. 2014 Nov 1;5(1):96-145. https://doi.org/10.1002/wcms.1207

Author

Schwerdtfeger, Peter ; Wirz, Lukas ; Avery, James Emil. / The topology of fullerenes. In: Wiley Interdisciplinary Reviews: Computational Molecular Science. 2014 ; Vol. 5, No. 1. pp. 96-145.

Bibtex

@article{da8e77364b1741deb1623855a75bcece,
title = "The topology of fullerenes",
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.",
author = "Peter Schwerdtfeger and Lukas Wirz and Avery, {James Emil}",
year = "2014",
month = "11",
day = "1",
doi = "10.1002/wcms.1207",
language = "English",
volume = "5",
pages = "96--145",
journal = "Wiley Interdisciplinary Reviews: Computational Molecular Science",
issn = "1759-0876",
publisher = "JohnWiley & Sons Ltd",
number = "1",

}

RIS

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

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