Abstract
The symmetry-adapted approach to the study of the vibrational and related properties of carbon nanotubes is presented. The usually very large number of carbon pairs in the unit cell of the nanotubes, that hinders most of the microscopic studies, is conveniently handled in this approach by using the screw symmetry of the nanotubes and a two-atom unit cell. This allows the systematic simulation of various properties (vibrational, mechanical, thermal, electronic, optical, dielectric, etc.) of all nanotubes of practical interest: The application of symmetry-adapted models to the study of some of these properties is illustrated in this review in two cases: a force-constant approach and a tight-binding approach.
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POPOV, V.N., LAMBIN, P. (2006). VIBRATIONAL AND RELATED PROPERTIES OF CARBON NANOTUBES. In: Popov, V.N., Lambin, P. (eds) Carbon Nanotubes. NATO Science Series II: Mathematics, Physics and Chemistry, vol 222. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4574-3_16
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DOI: https://doi.org/10.1007/1-4020-4574-3_16
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