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In section 2 a brief description of the structure of CNT is given. The results obtained after these modifications are very similar to those produced through more sophisticated methods. Since the radial breathing modes in the phonon dispersions are not obtained by the zone-folding method, certain modifications are made in the lower branches to obtain these modes. In our calculation of phonon dispersion of CNT, the starting point is that for grapheme, from which, the phonon dispersions of different CNTs are obtained through the zone folding scheme. As CNTs are rolled up by graphene, many physical properties of carbon nanotubes are closely related to those of graphene and to some extent, graphite.
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In this paper we present some of our calculations of phonon dispersion of armchair and zigzag CNTs. Phonon dispersion plays a fundamental role in determining both thermal and electrical properties of carbon nanotubes. Keywords:Carbon Nanotubes, Zone Folding, Phonon DispersionĪfter the discovery of carbon nanotubes in 1991, much attention has been given to the investigation of their electrical, vibrational and thermal properties. These modifications produce results similar to those obtained by more sophisticated ab-initio methods. Since the radial breathing modes in the phonon dispersion are not obtained by the zone-folding method, certain modifications are made in the lower branches to obtain these modes. Zone folding scheme is then applied to obtain the phonon dispersion of CNT from that of graphene. In these calculations, the starting point has been the phonon dispersion of graphene. In this paper we present calculations of phonon dispersion of different types of single walled carbon nanotubes (SWCNT). Received 17 February 2014 revised 18 March 2014 accepted 2 April 2014
#Zig zag breathing zone license
This work is licensed under the Creative Commons Attribution International License (CC BY).
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Department of Physics, Birla Institute of Technology and Science, Pilani, Rajasthan, IndiaĮmail: © 2014 by authors and Scientific Research Publishing Inc.