Explicit solution of the radial breathing mode frequency of single-walled carbon nanotubes

Acta Mechanica Sinica/Lixue Xuebao

Volumn 23, Issue 2, 2007, Pages 159-162

  Chang, Tienchong ^a  

^a SHANGHAI UNIVERSITY   (China)

Author keywords

Carbon nanotubes; Molecular mechanics; Radial breathing mode

Indexed keywords

CHIRALITY; ELASTICITY; MOLECULAR MECHANICS;

ELASTIC PROPERTIES; RADIAL BREATHING MODE (RBM);

SINGLE-WALLED CARBON NANOTUBES (SWCN);

EID: 34547336708     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10409-007-0059-4     Document Type: Article

References (22)

1. Guo, W., Guo, Y.: The coupled effects of mechanical deformation and electronic properties. Acta Mech. Sin. 20(2), 192-198 (2004)
2. Zou, J., Ji, B., Feng, X.Q., et al.: Self-assembly of single-walled carbon nanotubes into multiwalled carbon nanotubes in water: Molecular dynamics simulations. Nano. Lett. 6(3), 430-434 (2006)
3. Chang, T., Hou, J., Guo, X.: Reversible mechanical bistability of single-walled carbon nanotubes under axial strain. Appl. Phys. Lett. 88, 211906 (2006)
4. Jishi, R.A., Venkataraman, L., Dresselhaus, M.S., et al.: Phonon modes in carbon nanotubules. Chem. Phys. Lett. 209, 77 (1993)
5. Bandow, S., Asaka, S., Saito, Y., et al.: Effect of the growth temperature on the diameter distribution and chirality of single-wall carbon nanotubes. Phys. Rev. Lett. 80(17), 3779-3782 (1998)
6. Kurti, J., Kressem, G., Kuzmany, H.: First-principles calculations of the radial breathing mode of single-wall carbon nanotubes. Phys. Rev. B 58, R8869 (1998)
7. Sanchez-Portal, D., Artacho, E., Soler, J.M., et al.: Ab initio structural, elastic, and vibrational properties of carbon nanotubes. Phys. Rev. B 59(19), 12678-12688 (1999)
8. Jorio, A., Saito, R., Hafner, J.H., et al.: Structural (n,m) determination of isolated single wall carbon nanotubes by resonant Raman scattering. Phys. Rev. Lett. 86,1118 (2001)
9. Dobardzic, E., Milosevic, I., Nikolic, B., et al.: single-wall carbon nanotubes phonon spectra: symmetry-based calculations. Phys. Rev. B 68, 045408 (2003)
10. Longhurst, M.J., Quirke, N.: The radial breathing mode of carbon nanotubes. Mol. Simul. 31, 135 (2005)
11. Li, I.L., Li, G.D., Liu, H.J., et al.: Chirality-dependent curvature effect in smallest single-walled carbon nanotubes. Appl. Phys. Lett. 82(9), 1467-1469 (2003)
12. Kurti, J., Zolyomi, V., Kertesz, M., et al.: The geometry and the radial breathing mode of carbon nanotubes: beyond the ideal behaviour. New J. Phys. 5, 125 (2003)
13. Li, Z.M., Tang, Z.K. Siu, G.G. et al.: Raman characterization of 0.4 nm single-wall carbon nanotubes using the full-symmetry line group. Appl. Phys. Lett. 84, 4101 (2004)
14. Damnjanovic, M., Dobardzic, E., Milosevic, I.: Chirality dependence of the radial breathing mode: a simplemodel. J. Phys: Condens Matter 16, L505-L508 (2004)
15. Telg, H., Maultzsch, J., Reich, S., et al.: Chirality distribution and transition energies of carbon nanotubes. Phys. Rev. Lett. 93(17), 177401 (2004)
16. Xiao, Y., Li, Z.M., Yan, X.H., et al.: Curvature effect on the radial breathing modes of single-walled carbon nanotubes. Phys. Rev. B 71, 233405 (2005)
17. Lawler, H.M., Areshkin, D., Mintmire, J.W., et al.: Radial-breathing mode frequencies for single-walled carbon nanotubes of arbitrary chirality: first-principles calculations. Phys. Rev. B 72, 233403 (2005)
18. Meyer, J.C., Paillet, M., Michel, T., et al.: Raman modes of index-identified freestanding single-walled carbon nanotubes. Phys. Rev. Lett. 95, 217401 (2005)
19. Popov, V.N., Lambin, P.: Radius and chirality dependence of the radial breathing mode and the G-band phonon modes of single-walled carbon nanotubes. Phys. Rev. B 73, 085407 (2006)
20. Chang, T., Gao, H.: Size dependent elastic properties of a single-walled carbon nanotube via a molecular mechanics model. J. Mech. Phys. Solids 51(5), 1059-1074 (2003)
21. Chang, T., Geng, J., Guo, X.: Chirality- and size- dependent elastic properties of single-walled carbon nanotubes. Appl. Phys. Lett. 87, 251929 (2005)
22. Chang, T., Geng, J., Guo, X.: Prediction of chirality- and size- dependent elastic properties of single-walled carbon nanotubes via a molecular mechanics model. Proc. R. Soc. A 462, 2523-2540 (2006)