Transition states and minimum energy pathways for the collapse of carbon nanotubes

Physical Review B - Condensed Matter and Materials Physics

Volumn 73, Issue 7, 2006, Pages

  Zhang, Sulin ^a,d   Khare, Roopam ^a   Belytschko, Ted ^a   Hsia, K Jimmy ^b   Mielke, Steven L ^c   Schatz, George C ^c  

^a Northwestern University   (United States)

^b University of Illinois at Urbana Champaign   (United States)

^c NORTHWESTERN UNIVERSITY   (United States)

^d 3202 Bell Engineering Center   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33144486950     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.075423     Document Type: Article

References (45)

1. W. Qian, F. Wei, T. Liu, and Z. Wang, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1527897 118, 878 (2003).
2. N. G. Chopra, F. M. Ross, and A. Zettl, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(96)00475-7 256, 241 (1996).
3. V. H. Crespi, N. G. Chopra, M. L. Cohen, A. Zettl, and S. G. Louie, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.5927 54, 5927 (1996).
4. O. Lourie, D. M. Cox, and H. D. Wagner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1638 81, 1638 (1998).
5. Z. Wang, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp046846x 108, 18192 (2004).
6. M.-F. Yu, O. Lourie, M. J. Dyer, K. Moloni, T. F. Kelly, and R. S. Ruoff, Science SCIEAS 0036-8075 10.1126/science.287.5453.637 287, 637 (2000).
7. J. R. Wood, M. D. Frogley, E. R. Meurs, A. D. Prins, T. Peijs, D. J. Dunstan, and H. D. Wagner, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp992136t 103, 10388 (1999).
8. J. Tang, L.-C. Qin, T. Sasaki, M. Yudasaka, A. Matsushita, and S. Iijima, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1887 85, 1887 (2000).
9. M. J. Peters, L. E. McNeil, J. P. Lu, and D. Kahn, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.5939 61, 5939 (2000).
10. J. Tang, L.-C. Qin, T. Sasaki, M. Yudasaka, A. Matsushita, and S. Iijima, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/44/335 14, 10575 (2002).
11. J. A. Elliott, J. K. W. Sandler, A. H. Windle, R. J. Young, and M. S. P. Shaffer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.095501 92, 095501 (2004).
12. P. Puech, H. Hubel, D. J. Dunstan, A. Bassil, R. Bacsa, A. Peigney, E. Flahaut, C. Laurent, and W. S. Bacsa, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/pssb.200405227 241, 3360 (2004).
13. R. B. Capaz, C. D. Spataru, P. Tangney, M. L. Cohen, and S. G. Louie, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/pssb.200405253 241, 3352 (2004).
14. M. Monteverde and M. Nunez-Regueiro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.235501 94, 235501 (2005).
15. M. S. Amer, M. M. El-Ashry, and J. F. Maguire, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1768157 121, 2752 (2004).
16. N. G. Chopra, L. X. Benedict, V. H. Crespi, M. L. Cohen, S. G. Louie, and A. Zettl, Nature (London) NATUAS 0028-0836 10.1038/377135a0 377, 135 (1995).
17. M.-F. Yu, M. J. Dyer, J. Chen, D. Qian, W. K. Liu, and R. S. Ruoff, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.241403 64, 241403 (R) (2001).
18. L. N. Bourgeois and L. A. Bursill, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/S0009-2614(97)00910-X 277, 571 (1997).
19. S. Liu, J. Yue, and R. J. Wehmschulte, Nano Lett. NALEFD 1530-6984 10.1021/nl0257869 2, 1439 (2002).
20. L. X. Benedict, N. G. Chopra, M. L. Cohen, A. Zettl, S. G. Louie, and V. H. Crespi, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/S0009-2614(97)01466-8 286, 490 (1998).
21. M.-F. Yu, T. Kowalewski, and R. S. Ruoff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.87 86, 87 (2001).
22. M.-F. Yu, M. J. Dyer, and R. S. Ruoff, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1356437 89, 4554 (2001).
23. B. I. Yakobson, C. J. Brabec, and J. Bernholc, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.2511 76, 2511 (1996).
24. G. Gao, T. Cagin, and W. A. Goddard III, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/9/3/007 9, 184 (1998).
25. J. Che, T. Cagin, and W. A. Goddard III, Theor. Chem. Acc. TCACFW 1432-881X 10.1007/s002140050506 102, 346 (1999).
26. P. E. Lammert, P. Zhang, and V. H. Crespi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2453 84, 2453 (2000).
27. M. Arroyo and T. Belytschko, Mech. Mater. MSMSD3 0167-6636 10.1016/S0167-6636(02)00270-3 35, 193 (2003).
28. S.-P. Chan, W.-L. Yim, X. G. Gong, and Z.-F. Liu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.075404 68, 075404 (2003).
29. A. Pantano, D. M. Parks, and M. C. Boyce, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/j.jmps.2003.08.004 52, 789 (2004).
30. H. J. Liu and K. Cho, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1777817 85, 807 (2004).
31. D. Y. Sun, D. J. Shu, M. Ji, F. Liu, M. Wang, and X. G. Gong, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.165417 70, 165417 (2004).
32. T. Tang, A. Jagota, C.-Y. Hui, and N. J. Glassmaker, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1883302 97, 074310 (2005).
33. H.-S. Shen, Int. J. Solids Struct. IJSOAD 0020-7683 10.1016/j.ijsolstr. 2003.11.028 41, 2643 (2004).
34. X. Ye, D. Y. Sun, and X. G. Gong, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.035454 72, 035454 (2005).
35. D. W. Brenner, O. A. Shenderova, J. A. Harrison, S. J. Stuart, B. Ni, and S. B. Sinnott, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/ 4/312 14, 783 (2002).
36. L. A. Girifalco, M. Hodak, and R. S. Lee, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.13104 62, 13104 (2000).
37. A. N. Kolmogorov and V. H. Crespi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4727 85, 4727 (2000).
38. B. Liu, M.-F. Yu, and Y. Huang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.161402 70, 161402 (R) (2004).
39. M. Arroyo and T. Belytschko, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.115415 69, 115415 (2004).
40. S. Zhang, S. L. Mielke, R. Khare, D. Troya, R. S. Ruoff, G. C. Schatz, and T. Belytschko, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.115403 71, 115403 (2005).
41. R. H. Byrd, P. Lu, and J. Nocedal, SIAM J. Sci. Comput. (USA) SJOCE3 1064-8275 10.1137/0916069 16, 1190 (1995).
42. H. Jonsson, G. Mills, and K. W. Jacobsen, in Classical and Quantum Dynamics in Condensed Phase Simulations, edited by, B. J. Berne,,, G. Ciccotti,, and, D. F. Coker, (World Scientific, Singapore, 1998), p. 385.
43. S. Timoshenko, Theory of Elastic Stability (McGraw-Hill, New York, 1936).
44. D. W. Brenner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.42.9458 42, 9458 (1990);
45. D. W. Brenner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.1948.2 46, 1948 (E) (1992).