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Graphitic Cones

Published online by Cambridge University Press:  02 July 2020

A. Krishnan ,
E. Dujardin ,
M. E. Bisher ,
M. M. J. Treacy ,
J. Hugdahl ,
S. Lynuir  and
T.W. Ebbesen
A. Krishnan
Affiliation:
NEC Research Institute, Inc., 4 Independence Way, Princeton, NJ08540
E. Dujardin
Affiliation:
Laboratoire de Chimie des Interactions Moléculaires - Collège de France, 75005, Paris, France
M. E. Bisher
Affiliation:
NEC Research Institute, Inc., 4 Independence Way, Princeton, NJ08540
M. M. J. Treacy
Affiliation:
NEC Research Institute, Inc., 4 Independence Way, Princeton, NJ08540
J. Hugdahl
Affiliation:
Kvaerner Engineering A.S., 1324, Lysaker, Norway
S. Lynuir
Affiliation:
Kvaerner Engineering A.S., 1324, Lysaker, Norway
T.W. Ebbesen
Affiliation:
NEC Research Institute, Inc., 4 Independence Way, Princeton, NJ08540 ISIS, Louis Pasteur University, 67000, Strasbourg, France
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Extract

New structural forms of carbon have been discovered in recent years, the most notable being the fullerenes and nanotubes. The notion that curvature is readily accommodated by graphite sheets has led to speculation about other possible topologies that incorporate pentagons or heptagons in hexagonal graphite nets. by consideration of Euler’s theorem and the symmetry of a graphite sheet, five conical structures can be predicted. If pentagonal defects only are present, cone angles are completely determined by the total number of pentagons, n, where 0≤n≤6 for open structures. In the absence of heptagons, growth of any graphitic structure containing more than 6 pentagons leads inevitably to the closed n =12 form. Consequently, five cone angles are possible, with disk (n=0) and tubular (n=6) forms representing the end-members of the topological series. Ge and Sattler1 have observed the smallest-angle member of this series with a cone angle of 19.2° (n=5).

Type
Nanocrystals and Nanocomposites: Novel Structures for Catalysis, Electronics, and Micromechanics
Information
Microscopy and Microanalysis , Volume 3 , Issue S2: Proceedings: Microscopy & Microanalysis '97, Microscopy Society of America 55th Annual Meeting, Microbeam Analysis Society 31st Annual Meeting, Histochemical Society 48th Annual Meeting, Cleveland, Ohio, August 10-14, 1997 , August 1997 , pp. 437 - 438
Copyright
Copyright © Microscopy Society of America 1997

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References

Ge, M. and Sattler, K., Chem. Phys. Lett. 220 (1994) 192–196.10.1016/0009-2614(94)00167-7CrossRefGoogle Scholar
Krishnan, A., Dujardin, E., Treacy, M. M. J., Hugdahl, J., Lynum, S. and Ebbesen, T.W., in prep.Google Scholar