Skip to main content
SpringerLink
Log in

Symmetry, phonons and rigid-layers modes in commensurate double wall carbon nanotubes

  • Original Paper
  • Published:
The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract.

For translationally periodic double-wall carbon nanotubes stable configurations and full symmetry groups are determined. Using this, the phonon dispersions and eigenvectors are calculated and assigned by the complete set of conserved quantum numbers. In particular, the modes corresponding to the relative coaxial motions of the rigid layers are studied in the context of low inter-wall interaction.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. Iijima, Nature (London) 354, 56 (1991)

    Article  Google Scholar 

  2. D.E. Luzzi, B.W. Smith, in Science and Application of Nanotubes, edited by D. Tomańek, R.J. Enbody (Kluwer, New York, 2000), p. 67

  3. B.W. Smith, D.E. Luzzi, Chem. Phys. Lett. 321, 169 (2000)

    Article  Google Scholar 

  4. R.R. Bacsa , Chem. Phys. Lett. 323, 566 (2000)

    Article  Google Scholar 

  5. S. Bandow , Chem. Phys. Lett. 337, 48 (2001)

    Article  Google Scholar 

  6. V.N. Popov, L. Henrard, Phys. Rev. B 65, 235415 (2002)

    Article  Google Scholar 

  7. M. Damnjanović , Phys. Rev. B 60, 2728 (1999)

    Article  Google Scholar 

  8. M. Damnjanović , Eur. Phys. J. B 25, 131 (2002)

    Google Scholar 

  9. J.-C. Charlier, J.-P. Michenaud, Phys. Rev. Lett. 70, 1858 (1993)

    Article  Google Scholar 

  10. A. Kolmogorov, V. Crespi, Phys. Rev. Lett. 85, 4727 (2000)

    Article  Google Scholar 

  11. J. Cumings, A. Zettl, Science 289, 602 (2000)

    Article  Google Scholar 

  12. I. Milošević , Polymer symmetry simulation package: Chap. XIV in Quantum Mechanical Simulation Methods in Studying Biological Systems, edited by D. Bicout, M. Field (Springer-Verlag, Berlin 1996)

  13. I. Milošević, M. Damnjanović, Phys. Rev. B 47, 7805 (1993)

    Article  Google Scholar 

  14. H. Abud, G. Sartori, Ann. Phys. 150, 307 (1983)

    MathSciNet  MATH  Google Scholar 

  15. R. Saito , Chem. Phys. Lett. 348, 187 (2001)

    Article  Google Scholar 

  16. M. Damnjanović , J. Phys. A 33, 6561 (2000)

    Google Scholar 

  17. R.A. Jishi , Chem. Phys. Lett. 209, 77 (1993)

    Article  Google Scholar 

  18. E. Dobardžić , Phys. Rev. B 68, 045408 (2003)

    Google Scholar 

  19. T. Vuković , Phys. Rev. B 65, 045418 (2002)

    Article  Google Scholar 

  20. A. Jishi, G. Dresselhaus, Phys. Rev. B 26, 4514 (1982)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Physics, University of Belgrade, POB 368, 11001, Belgrade, Serbia and Montenegro

    E. Dobardzic, I. Miloševic, T. Vukovic, B. Nikolic & M. Damnjanovic

Authors
  1. E. Dobardzic
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. Miloševic
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. T. Vukovic
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. B. Nikolic
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. M. Damnjanovic
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. Dobardzic.

Additional information

Received: 19 June 2003, Published online: 9 September 2003

PACS:

63.22.+m Phonons or vibrational states in low-dimensional structures and nanoscale materials - 61.46.+w Nanoscale materials: clusters, nanoparticles, nanotubes, and nanocrystals - 78.30.Na Fullerenes and related materials

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dobardzic, E., Miloševic, I., Vukovic, T. et al. Symmetry, phonons and rigid-layers modes in commensurate double wall carbon nanotubes. Eur. Phys. J. B 34, 409–413 (2003). https://doi.org/10.1140/epjb/e2003-00238-8

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2003-00238-8

Keywords

Search

Navigation