Optimized technique for the calculation of carbon nanotube dispersion relationships
β Scribed by Marconcini, Paolo ;Macucci, Massimo
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 784 KB
- Volume
- 204
- Category
- Article
- ISSN
- 0031-8965
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β¦ Synopsis
Abstract
The computation of the dispersion relations of carbon nanotubes can be optimized applying the zoneβfolding technique only close to the graphene degeneration points. In order to achieve such an improvement, we propose a method that, using properly chosen unit vectors, allows to easily obtain the coordinates of the degeneration points inside the rectangular regions of the reciprocal space where the graphene dispersion relations are commonly crossβsectioned. Finally, we show the results of the application of such a technique to the computation of the carbon nanotube energy bands. (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
Making use of the continuum model, the phonon density of states (PDOS) are calculated analytically for singlewalled carbon nanotubes (SWNT). Neglecting the interaction between twisting and longitudinal stress, the phonon dispersion relations are also determined analytically. The frequency of the bre