Phonon Dispersion Relation of Carbon Nanotube

• Authors: A. Bahari , M. Amiri
• Languages of publication: EN

Abstracts

EN

Some researchers obtained the phonon dispersion relation of carbon nanotube by considering harmonic oscillation of carbon atoms. Recently, we could find an alternative method for determining carbon nanotube band energy by modifying orthogonalized-plane-wave method and combining it with tight binding method. Here, we did some calculations based on these methods and solved the dynamical matrix of carbon nanotube by referring the above methods and using force constant model. Some necessary adjustments are made in order to take into account the effect of the second nearest neighbor atoms which are not harmonic vibrations.

Keywords

EN

04.62.+v; 98.80.Cq; 12.10.Dm

Discipline

• 12.10.Dm: Unified theories and models of strong and electroweak interactions
• 04.62.+v: Quantum fields in curved spacetime
• 98.80.Cq: Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 3
• Pages: 625-628

Dates

published

2009-03

received

2008-10-05

Contributors

author

A. Bahari

• Department of Physics, Faculty of Basic Science, University of Mazandaran, P.O. Box 47416, 476 Babolsar, Iran

author

M. Amiri

• Department of Physics, Faculty of Basic Science, University of Mazandaran, P.O. Box 47416, 476 Babolsar, Iran

References

• 1. P. Avouris, IEEE Spectrum 1, 41 (2004)
• 2. J. Ryoo, P. Hajela, J. Suhr, N. Korptkar, Adv. Eng. Software 38, 531 (2007)
• 3. E. Schröder, P. Hyldgaard, Mater. Sci. Eng. C 23, 721 (2003)
• 4. T.-S. Xia, L.F. Register, S.K. Banerjee, Phys. Rev. B 70, 045322 (2004)
• 5. H. Raffi-Tabar, Phys. Rep. 390, 235 (2004)
• 6. A. Bahari, Acta Phys. Pol. A 115, (2009)
• 7. R. Satio, G. Dresselhaus, M.S. Dresselhaus, Physical Properties of Carbon Nanotubes, 1st ed., Imperial College Press, London 1998
• 8. J.M. Leamy, Int. J. Solids Struct. 44, 874 (2007)
• 9. J. Che, T. Cagin, W. Goddard, Nanotechnology 10, 263 (1999)
• 10. W.C. Swope, H.C. Andersen, P.H. Berens, K.R. Wilson, J. Chem. Phys. 76, 637 (1982)
• 11. J.W. Kang, H.J. Hwang, J. Korean Phys. Soc. 46, 875 (2005)

Identifiers

DOI

10.12693/APhysPolA.115.625