Abstract
In this chapter, we show how the concept of symmetry gives theoretical explanation of the properties, which made carbon nanotubes (NTs) one of the most interesting materials of nanotechnology. First, in Sect. 3.1, we consider basic facts on single-wall carbon nanotubes (SWCNTs), including their configuration and symmetry. Then, we discuss double-wall nanotubes.Next, Sect. 3.2 is devoted to elementary symmetry-based physical properties. More precisely, we explain the energy spectrum of electrons and phonons, showing that as the consequence of the symmetry, energies must be arranged in the so-called bands. Elementary properties of these band structures may be a priory discussed, yielding easily famous conducting law, showing strong dependence of conductivity on the type of nanotube. Conserved quantum numbers enable us to extract selection rules for various physical processes. This way, radial breathing mode appears to be very important for the characterization of the samples by Raman spectroscopy. Also, optical properties are derived.Finally, in Sect. 3.3, mutual interaction between the walls of double-wall nanotubes is discussed. It is explained why this interaction is very weak, which is used to propose nanomachines with almost superslippery parts.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S. Iijima, Nature 354, 56 (1991)
Applied Physics of Nanotubes: Fundamentals of Theory, Optics and Transport Devices, ed. by S.V. Rotkin, S. Subramoney (Springer-Verlag, Berlin-Heidelberg-New York, 2005)
N. Hamada, S. Sawada, A. Oshiyama, Phys. Rev. Lett. 68, 1579 (1992)
C. T. White, D. H. Robertson, J. W. Mintmire, Phys. Rev. B 47, 5485 (1993)
J. W. Mintmire, C. T. White, Phys. Rev. Lett. 81, 2506 (1998)
M. Damnjanović, I. Milošević, T. Vuković, R. Sredanović, Phys. Rev. B 60, 2728–2739 (1999)
S. Reich, C. Thomsen, J. Maultzsch, Carbon Nanotubes – Basic Concepts and Physical Properties (Wiley-VCH, Weinheim, 2004)
E.B. Barros, A. Jorio, G.G. Samsonidze, R.B. Capaz, A.G. Souza Filho, J.M. Filho, G. Dresselhaus, Review on the symmetry-related properties of carbon nanotubes. Phys. Rep., 431, 261–302 (2006)
K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, S.V. Dubonos, I.V. Grigorieva, A. A. Firsov, Science 306, 666 (2004)
L.D. Landau, E.M. Lifshitz, Quantum Mechanics (Elsevier, Oxford, 1980)
E. Bichoutskaia, A. Popov, Y. Lozovik, G. Ivanchenko, N. Lebedev, Phys. Lett. A 366, 480–486 (2007)
X.G. Zhao, P. T. Cummings, J. Chem. Phys. 124, 134705 (2006)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Damnjanović, M. (2012). Carbon Nanotubes: From Symmetry to Applications. In: Logothetidis, S. (eds) Nanostructured Materials and Their Applications. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22227-6_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-22227-6_3
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22226-9
Online ISBN: 978-3-642-22227-6
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)