A new equivalent spring model for determining the G-band mode frequency of single-walled carbon nanotubes

Carbon

Volumn 55, Issue , 2013, Pages 44-52

  Ansari, R ^a   Mahmoudinezhad, E ^a   Sadeghi, F ^a  

^a UNIVERSITY OF GUILAN   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; ASYMPTOTIC VALUES; CIRCUMFERENTIAL MODES; FORCE CONSTANTS; MODE FREQUENCIES; OUT-OF PLANE; SPRING MODEL; TUBE DIAMETERS;

CHIRALITY; NANOTUBES; SINGLE-WALLED CARBON NANOTUBES (SWCN); TUBES (COMPONENTS);

ENANTIOMERS;

EID: 84873413792     PISSN: 00086223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.carbon.2012.12.001     Document Type: Article

References (43)

1. M.S. Dresselhaus, G. Dresselhaus, A. Jorio, A.G.S. Filho, and R. Saito Raman spectroscopy on isolated single wall carbon nanotubes Chem Phys Lett 40 12 2002 2043 2061
2. S. Suzuki, and H. Hibino Characterization of doped single-wall carbon nanotubes by Raman spectroscopy Chem Phys Lett 49 7 2011 2264 2272
3. M.S. Dresselhaus, G. Dresselhaus, and A. Jorio Raman spectroscopy of carbon nanotubes in 1997 and 2007 J Phys Chem C 111 48 2007 17887 17893
4. J.C. Meyer, M. Paillet, T. Michel, A. Moreac, A. Neumanm, and G.S. Duesberg Raman modes of index-identified freestanding single-walled carbon nanotubes Phys Rev Lett 95 21 2005 217401
5. A. Jorio, M.A. Pimenta, A.G. Souza Filho, SamsonidzeGeG, A.K. Swan, and M.S. Ünlü Resonance Raman spectra of carbon nanotubes by cross-polarized light Phys Rev Lett 90 2003 107403
6. A. Jorio, M.A. Pimenta, C. Fantini, M. Souza, A.G. Souza Filho, and SamsonidzeGeG Advances in single nanotube spectroscopy: Raman spectra from cross-polarized light and chirality dependence of Raman frequencies Carbon 42 2004 1067 1069
7. S. Bandow, S. Asaka, Y. Saito, A.M. Rao, L. Grigorian, and E. Richter Effect of the growth temperature on the diameter distribution and chirality of single-wall carbon nanotubes Phys Rev Lett 80 1998 3779 3782
8. R. Saito, T. Takeya, T. Kimura, G. Dresselhaus, and M.S. Dresselhaus Raman intensity of single-wall carbon nanotubes Phys Rev B 57 1998 4145 4153
9. A.M. Rao, E. Richter, S. Bandow, B. Chase, P.C. Eklund, and K.A. Williams Diameter-selective Raman scattering from vibrational modes in carbon nanotubes Science 275 5297 1997 187 191
10. D. Kahn, and J.P. Lu Vibrational modes of carbon nanotubes and nanoropes Phys Rev B 60 1999 6535 6540
11. J. Kurti, G. Kresse, and H. Kuzmany First-principles calculations of the radial breathing mode of single-wall carbon nanotubes Phys Rev B 58 1998 R8869 R8872
12. D. Sanchez-Portall, E. Artacho, and J.M. Soler Ab initio structural, elastic, and vibrational properties of carbon nanotubes Phys Rev B 59 1999 12678 12688
13. R.A. Jishi, L. Venkataraman, M.S. Dresselhaus, and G. Dresselhaus Phonon modes in carbon nanotubules Chem Phys Lett 209 1993 77 82
14. A. Jorio, R. Saito, J.H. Hanfer, C.M. Lieber, M. Hunter, and T. McClure Structural (n, m) determination of isolated single-wall carbon nanotubes by resonant Raman scattering Phys Rev Lett 86 2001 1118 1121
15. E. Dobardzic, I. Milosevic, B. Nikolic, T. Vukovic, and M. Damnjanovic Single-wall carbon nanotubes phonon spectra: symmetry-based calculations Phys Rev B 68 2003 045408
16. M.J. Longhurst, and N. Quirke The radial breathing mode of carbon nanotubes Mol Simulat 31 2005 135 141
17. A.M. Rao, J. Chen, E. Richter, U. Schlecht, P.C. Eklund, and R.C. Haddon Effect of van der Waals interactions on the Raman modes in single walled carbon nanotubes Phys Rev Lett 86 2001 3895 3898
18. J. Kurti, V. Zolyomi, M. Kertesz, and G. Sun The geometry and the radial breathing mode of carbon nanotubes: beyond the ideal behavior New J Phys 5 2003 125
19. H.M. Lawler, D. Areshkin, J.W. Mintmire, and C.T. White Radial-breathing mode frequencies for single-walled carbon nanotubes of arbitrary chirality: first-principles calculations Phys Rev B 72 2005 233403
20. J.C. Meyer, M. Paillet, T. Michel, A. Moreac, A. Neumann, and G.S. Duesberg Raman modes of index-identified freestanding single-walled carbon nanotubes Phys Rev Lett 95 2005 217401
21. Y. Xiao, Z.M. Li, X.H. Yan, Y. Zhang, Y.L. Mao, and Y.R. Yang Curvature effect on the radial breathing modes of single-walled carbon nanotubes Phys Rev B 71 2005 233405
22. V.N. Popov, and P. Lambin Radius and chirality dependence of the radial breathing mode and the G-band phonon modes of single-walled carbon nanotubes Phys Rev B 73 2006 085407
23. T. Chang Explicit solution of the radial breathing mode frequency of single-walled carbon nanotubes Acta Mech Sinica 23 2007 159 162
24. T. Chang Radial breathing mode frequency of single-walled carbon nanotubes under strain Appl Phys Lett 93 2008 061901
25. S.D.M. Brown, A. Jorio, M.S. Dresselhaus, and G. Dresselhaus Observations of the D-band feature in the Raman spectra of carbon nanotubes Phys Rev B 64 2001 073403
26. F. Tuinstra, and J.L. Koenig Raman spectrum of graphite J Chem Phys 53 1970 1126
27. A.G. Souza Filho, A. Jorio, SamsonidzeGeG, G. Dresselhaus, M.A. Pimenta, and M.S. Dresselhaus Competing spring constant versus double resonance effects on the properties of dispersive modes in isolated single-wall carbon nanotubes Phys Rev B 67 2003 035427
28. M.J. Matthews, M.A. Pimenta, G. Dresslhaus, M.S. Dresslhaus, and M. Endo Origin of dispersive effects of the Raman D band in carbon materials Phys Rev B 59 1999 R6585 R6588
29. A. Jorio, M.A. Pimenta, A.G. Souza Filho, R. Saito, G. Dresselhaus, and M.S. Dresselhaus Characterizing carbon nanotube samples with resonance Raman scattering New J Phys 5 2003 139
30. H. Hiura, T.W. Ebbesen, K. Tanigaki, and H. Takahashi Raman studies of carbon nanotubes Chem Phys Lett 202 1993 509 512
31. A. Jorio, A.G. Souza Filho, G. Dresselhaus, M.S. Dresselhaus, A.K. Swan, and M.S. Ünlü G-band resonant Raman study of 62 isolated single wall carbon nanotubes Phys Rev B 65 2002 155412
32. R. Saito, A. Jorio, J.H. Hafner, C.M. Lieber, M. Hunter, and T. McClure Chirality-dependent G-band Raman intensity of carbon nanotubes Phys Rev B 64 2001 085312
33. L. Li, and T. Chang Explicit solution for G-band mode frequency of single-walled carbon nanotubes Acta Mech Solida Sin 22 2009 571 583
34. L. Li, T. Chang, and G. Li Strain dependent G-band mode frequency of single-walled carbon nanotubes Chem Phys Lett 49 2011 4412 4419
35. S. Piscanec, M. Lazzeri, F. Mauri, A.C. Ferrari, and J. Robertson Kohn Anomalies and electron-phonon interactions in graphite Phys Rev Lett 93 2004 185503
36. M. Lazzeri, S. Piscanec, F. Mauri, A.C. Ferrari, and J. Robertson Electron transport and hot phonons in carbon nanotubes Phys Rev Lett 95 2005 236802
37. M. Lazzeri, S. Piscanec, F. Mauri, A.C. Ferrari, and J. Robertson Phonon linewidths and electron-phonon coupling in graphite and nanotubes Phys Rev B 73 2006 155426
38. W.D. Cornell, P. Cieplak, C.I. Bayly, I.R. Gould, K.M. Merz, and D.M. Ferguson A second generation force field for the simulation of proteins, nucleic acids, and organic molecules J Am Chem Soc 117 1995 5179 5197
39. M. Burghard Electronic and vibrational properties of chemically modified single-wall carbon nanotubes Surf Sci Rep 58 2005 1 109
40. T. Belin, and F. Epron Characterization methods of carbon nanotubes: a review Mater Sci Eng B 119 2005 105 118
41. B.J. Cox, and J.M. Hill Exact and approximate geometric parameters for carbon nanotubes incorporating curvature Carbon 45 2007 1453 1462
42. B.J. Cox, and J.M. Hill Geometric structure of ultra-small carbon nanotubes Carbon 46 2008 706 720
43. A.K. Rappe, C.J. Casewit, K.S. Colwell, W.A. Goddard, and W.M. Skiff UFF, a full periodic-table force-field for molecular mechanics and molecular-dynamics simulations J Am Chem Soc 114 1992 10024 10035