Ultimate strength of carbon nanotubes: A theoretical study

Physical Review B - Condensed Matter and Materials Physics

Volumn 65, Issue 14, 2002, Pages 1-6

  Zhao, Qingzhong ^a   Nardelli, Marco Buongiorno ^a   Bernholc, J ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84875150863     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.144105     Document Type: Article

References (42)

1. S. Iijima, Nature (London) 354, 56 (1991).
2. R.F. Service, Science 281, 940 (1998);
3. J. Bernholc, C. Roland, and B.I. Yakobson, Curr. Opin. Solid State Mater. Sci. 2, 706 (1997);
4. M. S. Dresselhaus, G. Dresselhaus, and P. C. Eklund, Science of Fullerenes and Carbon Nanotubes (Academic Press, San Diego, 1996);
5. Carbon Nanotubes: Preparation and Properties, edited by T. W. Ebbesen (CRC Press, Boca Raton, 1997);
6. R. Saito, G. Dresselhaus, and M. S. Dresselhaus, Physical Properties of Carbon Nanotubes (Imperial College Press, London, 1998).
7. S. Iijima, C. Brabec, A. Maiti, and J. Bernholc, J. Chem. Phys. 104, 2089 (1996).
8. B.I. Yakobson, C.J. Brabec, and J. Bernholc, Phys. Rev. Lett. 76, 2511 (1996).
9. J. Despers, E. Daguerre, and K. Lafdi, Carbon 33, 87 (1995).
10. N. Chopra, L. Benedict, V. Crespi, M.L. Cohen, S.G. Louie, and A. Zettl, Nature (London) 377, 135 (1995);
11. R. Ruoff and D. Lorents, Bull. Am. Phys. Soc. 40, 173 (1995).
12. M. Buongiorno Nardelli, B.I. Yakobson, and J. Bernholc, Phys. Rev. B 57, R4277 (1998).
13. A. Krishan, et al., Phys. Rev. B 58, 14 013 (1998);
14. Phys. Rev. BD.H. Robertson, D.W. Brenner, and J.W. Mintmire, 45, 12 592 (1992).
15. M. Buongiorno Nardelli, B.I. Yakobson, and J. Bernholc, Phys. Rev. Lett. 81, 4656 (1998).
16. P. Zhang, P.E. Lammert, and V.H. Crespi, Phys. Rev. Lett. 81, 5346 (1998).
17. B.I. Yakobson, Appl. Phys. Lett. 72, 918 (1998).
18. Constant-stress conditions (as opposed to constant strain) do not produce significant differences at the onset of nonelastic behavior.
19. The quantities that enter in the Arrhenius expression are the activation energy for the bond rotation (formula presented), the absolute temperature T, the Boltzmann constant (formula presented) the number of bonds (formula presented), which is associated with the vibration of the bond in the direction of the saddle point. We estimate the latter using the frequency of the bond rotation mode in a carbon nanotube, (formula presented)
20. See, for example, J. Yu, R.K. Kalia, and P. Vashista, J. Chem. Phys. 103, 6697 (1995).]
21. D.A. Walters, L.M. Ericson, M.J. Casavant, J. Liu, D.T. Colbert, K.A. Smith, and R.E. Smalley, Appl. Phys. Lett. 74, 3803 (1999).
22. M.F. Yu, B.S. Files, S. Arepalli, and R.S. Ruoff, Phys. Rev. Lett. 84, 5552 (2000).
23. E.L. Briggs, D.J. Sullivan, and J. Bernholc, Phys. Rev. B 52, R5471 (1995);
24. Phys. Rev. BE.L. BriggsD.J. SullivanJ. Bernholc54, 14 362 (1996).
25. J.P. Perdew and A. Zunger, Phys. Rev. B 23, 5048 (1981).
26. D. Ceperley and B. Alder, Phys. Rev. Lett. 45, 566 (1980).
27. L. Kleinman and D. Bylander, Phys. Rev. Lett. 48, 1425 (1982).
28. D. Hamann, M. Schlüter, and C. Chiang, Phys. Rev. Lett. 43, 1494 (1979).
29. G. Bachelet, D. Hamann, and M. Schlüter, Phys. Rev. B 26, 4199 (1982).
30. D. Hamann, Phys. Rev. B 40, 2980 (1989).
31. C.H. Xu, C.Z. Wang, C.T. Chan, and K.M. Ho, J. Phys. C 4, 6047 (1992).
32. J. Tersoff, Phys. Rev. Lett. 61, 2879 (1988);
33. J. TersoffPhys. Rev. B 37, 6991 (1988).
34. D.W. Brenner, Phys. Rev. B 42, 9458 (1990).
35. A.J. Stone and D.J. Wales, Chem. Phys. Lett. 128, 501 (1986).
36. E. Kaxiras and K.C. Pandey, Phys. Rev. Lett. 61, 2693 (1988).
37. B.I. Dunlap, Phys. Rev. B 46, 1933 (1992).
38. T.W. Ebbesen and T. Takada, Carbon 33, 973 (1995).
39. Ph. Lambin, A. Fonseca, J.P. Vigneron, J.B. Nagy, and A.A. Lucas, Chem. Phys. Lett. 245, 85 (1995).
40. L. Chico, V.H. Crespi, L.X. Benedict, S.G. Louie, and M.L. Cohen, Phys. Rev. Lett. 76, 971 (1996).
41. M. Ouyang, J.-L. Huang, C.L. Cheung, and C.M. Lieber, Science 291, 97 (2001).
42. D. Orlikowski, M. Buongiorno Nardelli, J. Bernholc, and C. Roland, Phys. Rev. Lett. 83, 4132 (1999).