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A carbon nanocone with one pentagon in the apex.

Carbon nanotubes are actually a special case of a more general structure, the carbon nanocones. A nanotube can be though of as a cone with six pentagonal rings in the endcap; these six pentagons induce sufficient Gaussian curvature to give a vanishing opening angle. When the structure has fewer than six pentagonal rings in the apex, the resulting structure forms a cone. These cones can have quite fascinating electronic and structural properties. Cones with a single pentagon act as a Mobius strip in momentum space. Cones with one or two pentagons can be mechanically inverted, acting as a constant-force spring.

Publications

2000 · 2004 · All
P. E. Lammert and V. H. Crespi, "Graphene cones: classification by fictitious flux and electronic properties," Phys. Rev. B 69, 035406 (2004) Abstract/Comments
P. E. Lammert and V. H. Crespi, "Topological Phases in Graphitic Cones," Phys. Rev. Lett. 85, 5190 – 5193 (2000) Abstract/Comments
Disclaimer
P. E. Lammert : Carbon Nanocones