Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young’s moduli dependent on layer number

Physical Review B - Condensed Matter and Materials Physics

Volumn 65, Issue 23, 2002, Pages 1-4

  Tu, Zhan Chun ^a   Ou Yang, Zhong Can ^a,b  

^a INSTITUTE OF THEORETICAL PHYSICS   (China)

^b TSINGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84923381309     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.233407     Document Type: Article

References (33)

1. S. Iijima, Nature (London) 354, 56 (1991).
2. D.H. Robertson, D.W. Brenner, and J.W. Mitmire, Phys. Rev. B 45, 12 592 (1992);
3. G. Overney, W. Zhong, and D. Tomanek, Z. Phys. D: At., Mol. Clusters 27, 93 (1993).
4. B.I. Yakobson, C.J. Brabec, and J. Bernholc, Phys. Rev. Lett. 76, 2511 (1996);
5. B.I. Yakobson and R.E. Smalley, Am. Sci. 85, 324 (1997).
6. B. I. Yakobson and P. Avouris, in Carbon Nanotubes, edited by M. S. Dresselhaus and P. Avouris (Springer-Verlag, Berlin, 2001), pp. 287-327.
7. K.N. Kudin, G.E. Scuseria, and B.I. Yakobson, Phys. Rev. B 64, 235406 (2001).
8. X. Zhou, J.J. Zhou, and Z.C. Ou-Yang, Phys. Rev. B 62, 13 692 (2000);
9. X. Zhou, H. Chen, J.J. Zhou, and Z.C. Ou-Yang, Physica B 304, 86 (2001).
10. E. Hernández, C. Goze, P. Bernier, and A. Rubio, Phys. Rev. Lett. 80, 4502 (1998);
11. D. Sánchez-Portal, E. Artacho, J.M. Soler, A. Rubio, and P. Ordejon, Phys. Rev. B 59, 12 678 (1999);
12. L. Vaccarini, C. Goze, L. Henrard, E. Hernández, P. Bernier, and A. Rubio, Carbon 38, 1681 (2000).
13. J.P. Lu, Phys. Rev. Lett. 79, 1297 (1997).
14. M.M.J. Treacy, T.W. Ebbesen, and J.M. Gibson, Nature (London) 381, 678 (1996).
15. E.W. Wong, P.E. Sheehan, and C.M. Lieber, Science 277, 1971 (1997).
16. A. Krishnan, E. Dujardin, T.W. Ebbesen, P.N. Yianilos, and M.M.J. Treacy, Phys. Rev. B 58, 14 013 (1998).
17. M.F. Yu, O. Lourie, M.J. Dyer, K. Moloni, T.F. Kelly, and R.S. Ruoff, Science 287, 673 (2000).
18. M.R. Falvo, G.J. Clary, R.M. Taylor II, V. Chi, F.P. Brooks, Jr., and R. Superfine, Nature (London) 389, 582 (1997);
19. S. Iijima, C. Brabec, A. Maiti, and J. Bernholc, J. Chem. Phys. 104, 2089 (1996).
20. J. Cumings and A. Zettl, Science 289, 602 (2000).
21. R. Saito, M. S. Dresselhaus, and G. Dresselhaus, Physical Properties of Carbon Nanotubes (Imperial College Press, London, 1998);
22. R.E. Smalley, Rev. Mod. Phys. 69, 723 (1997).
23. L. Yang and J. Han, Phys. Rev. Lett. 85, 154 (2000).
24. T. Lenosky, X. Gonze, M. Teter, and V. Elser, Nature (London) 355, 333 (1992).
25. Z.C. Ou-Yang, Z.B. Su, and C.L. Wang, Phys. Rev. Lett. 78, 4055 (1997).
26. J. Tersoff, Phys. Rev. B 46, 15 546 (1992).
27. R. Nicklow, N. Wakabayashi, and H.G. Smith, Phys. Rev. B 5, 4951 (1972).
28. O.L. Blakeslee, D.G. Proctor, E.J. Seldin, G.B. Spence, and T. Weng, J. Appl. Phys. 41, 3373 (1970);
29. D.J. Srolovitz, S.A. Safran, and R. Tenne, Phys. Rev. E 49, 5260 (1994).
30. M. P. do Carmo, Differential Geometry of Curves and Surfaces (Prentice-Hall, N J, Englewood Cliffs, 1976).
31. The detail will appear in a full paper by the present authors.
32. L. D. Landau and E. M. Lifshiz, Theory of Elasticity (Pergamon, Oxford, 1986).
33. L.A. Girifalco and R.A. Lad, J. Chem. Phys. 25, 693 (1956).