Abstract

The electronic structures of some possible carbon fibers nucleated from the hemisphere of a ${\mathrm{C}}_{60}$ molecule are presented. A one-dimensional electronic band-structure model of such carbon fibers, having not only rotational symmetry but also screw axes, is derived by folding the two-dimensional energy bands of graphite. A simple tight-binding model shows that some fibers are metallic and are stable against perturbations of the one-dimensional energy bands and the mixing of \ensuremath{\sigma} and \ensuremath{\pi} bands due to the curvature of the circumference of the fiber.

Keywords

GraphenePhysicsCurvatureGraphiteSymmetry (geometry)Electronic band structureEnergy (signal processing)Materials scienceCrystallographyMolecular physicsAtomic physicsCondensed matter physicsGeometryQuantum mechanicsChemistryMathematics

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Publication Info

Year
1992
Type
article
Volume
46
Issue
3
Pages
1804-1811
Citations
1393
Access
Closed

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Riichiro Saito, Mitsutaka Fujita, G. Dresselhaus et al. (1992). Electronic structure of graphene tubules based on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>. Physical review. B, Condensed matter , 46 (3) , 1804-1811. https://doi.org/10.1103/physrevb.46.1804

Identifiers

DOI
10.1103/physrevb.46.1804