Abstract
The structure and elastic properties of (5,5) and (10,10) nanotubes, as well as barriers for relative rotation of the walls and their relative sliding along the axis in a double-walled (5,5)@(10,10) carbon nanotube, are calculated using the density functional method. The results of these calculations are the basis for estimating the following physical quantities: ultimate shear strengths and diffusion coefficients for relative sliding along the axis and rotation of the walls, as well as frequencies of relative rotational and translational oscillations of the walls. The commensurability-incommensurability phase transition is analyzed. The length of the incommensurability defect is estimated on the basis of ab initio calculations. It is proposed that a double-walled carbon nanotube be used as a plain bearing. The possibility of experimental verification of the results is discussed.
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References
J. Cumings and A. Zettl, Science (Washington) 289, 602 (2000).
A. Kis, K. Jensen, S. Aloni, W. Mickelson, and A. Zettl, Phys. Rev. Lett. 97, 025 501 (2006).
A. M. Fennimore, T. D. Yuzvinsky, W. Q. Han, M. S. Fuhrer, J. Cumings, and A. Zettl, Nature (London) 424, 408 (2003).
B. Bourlon, D. C. Glatti, L. Forró, and A. Bachtold, Nano Lett. 4, 709 (2004).
V. V. Deshpande, H.-Y. Chiu, H. W. Ch. Postma, C. Mikó, L. Forró, and M. Bockrath, Nano Lett. 6, 1092 (2006).
Q. Zheng and Q. Jiang, Phys. Rev. Lett. 88, 045503 (2002).
Z. C. Tu and X. Hu, Phys. Rev. 72, 033404 (2005).
R. Saito, R. Matsuo, T. Kimura, G. Dresselhaus, and M. S. Dresselhaus, Chem. Phys. Lett. 348, 187 (2001).
Yu. E. Lozovik, A. V. Minogin, and A. M. Popov, Phys. Lett. A 313, 112 (2003).
Yu. E. Lozovik, A. V. Minogin, and A. M. Popov, Pis’ma Zh. Éksp. Teor. Fiz. 77(11), 759 (2003) [JETP Lett. 77 (11), 631 (2003)].
E. Bichoutskaia, A. M. Popov, M. I. Heggie, and Yu. E. Lozovik, Fullerenes, Nanotubes, Carbon Nanostruct. 14, 131 (2006).
E. Bichoutskaia, A. M. Popov, Yu. E. Lozovik, G. S. Ivanchenko, and N. G. Lebedev, Phys. Lett. A 366, 480 (2007).
A. M. Popov, E. Bichoutskaia, Yu. E. Lozovik, and A. S. Kulish, Phys. Status Solidi A 204, 1911 (2007).
Yu. E. Lozovik and A. M. Popov, Usp. Fiz. Nauk 177(7), 786 (2007) [Phys.—Usp. 50 (7), 749 (2007)].
R. Saito, M. Fujita, G. Dresselhaus, and M. S. Dresselhaus, Appl. Phys. Lett. 60, 2204 (1992).
R. A. Jishi, M. S. Dresselhaus, and G. Dresselhaus, Phys. Rev. B: Condens. Matter 47, 16 671 (1993).
L. X. Benedict, N. G. Chopra, M. L. Cohen, A. Zettl, S. G. Louie, and V. H. Crespi, Chem. Phys. Lett. 286, 490 (1998).
A. N. Kolmogorov and V. H. Crespi, Phys. Rev. Lett. 85, 4727 (2000).
M. Damnjanović, T. Vuković, and I. Milošević, Eur. Phys. J. B 25, 131 (2002).
T. Vuković, M. Damnjanović, and I. Milošević, Physica E (Amsterdam) 16, 256 (2003).
A. V. Belikov, A. G. Nikolaev, Yu. E. Lozovik, and A. M. Popov, Chem. Phys. Lett. 385, 72 (2004).
J.-C. Charlier and J. P. Michenaud, Phys. Rev. Lett. 70, 1858 (1993).
Y. K. Kwon and D. Tomanek, Phys. Rev. B: Condens. Matter 58, 16 001 (1998).
A. H. R. Palser, Phys. Chem. Chem. Phys. 1, 4459 (1999).
E. Bichoutskaia, A. M. Popov, A. El-Barbary, M. I. Heggie, and Yu. E. Lozovik, Phys. Rev. B: Condens. Matter 71, 113 403 (2005).
E. Bichoutskaia, A. M. Popov, M. I. Heggie, and Yu. E. Lozovik, Phys. Rev. B: Condens. Matter 73, 045435 (2006).
T. W. Ebbesen and P. M. Ajayan, Nature (London) 358, 220 (1992).
J. L. Hutchison, N. A. Kiselev, E. P. Krinichnaya, A. V. Krestinin, R. O. Loutfy, A. P. Morawsky, V. E. Muradyan, E. D. Obraztsova, J. Sloan, S. V. Terekhov, and D. N. Zakharov, Carbon 39, 761 (2001).
L. Ci, Z. Rao, Z. Zhou, D. Tang, X. Yan, Y. Liang, D. Liu, H. Yuan, W. Zhou, G. Wang, W. Liu, and S. Xie, Chem. Phys. Lett. 359, 63 (2002).
S. Bandow, M. Takizawa, K. Hirahara, M. Yudasaka, and S. Iijima, Chem. Phys. Lett. 337, 48 (2001).
J. Sloan, R. E. Dunin-Borkowski, J. L. Hutchison, K. S. Coleman, V. C. Williams, J. B. Claridge, A. P. E. York, C. Xu, S. R. Bailey, G. Brown, S. Friedrichs, and M. L. H. Green, Chem. Phys. Lett. 316, 191 (2000).
D. M. Ceperley and B. J. Alder, Phys. Rev. Lett. 45, 566 (1980).
G. Kresse and J. Furthmüller, Phys. Rev. B: Condens. Matter 54, 11169 (1996).
G. Kresse and J. Hafner, J. Phys.: Condens. Matter 6, 8245 (1994).
H. J. Monkhorst and J. D. Pack, Phys. Rev. B: Solid State 13, 5188 (1976).
N. Mounet and N. Marzari, Phys. Rev. B: Condens. Matter 71, 205214 (2005).
G. van Lier, G. van Alsenoy, V. van Doren, and P. Geerlings, Chem. Phys. Lett. 326, 181 (2000).
D. Sánchez-Portal, E. Artacho, J. M. Soler, A. Rubio, and P. Ordejón, Phys. Rev. B: Condens. Matter 59, 12678 (1999).
S. L. Mielke, D. Troya, S. Zhang, J.-L. Li, S. Xiao, R. Car, R. S. Ruoff, G. C. Schatz, and T. Belytschko, Chem. Phys. Lett. 390, 413 (2004).
T. Ozaki, Y. Iwasa, and T. Mitani, Phys. Rev. Lett. 84, 1712 (2000).
E. Hernandez, C. Goze, P. Bernier, and A. Rubio, Phys. Rev. Lett. 80, 4502 (1998).
M. Damnjanović, I. Milošević, T. Vuković, and R. Sredanović, Phys. Rev. B: Condens. Matter 60, 2728 (1999).
M. Damnjanović, E. Dobardzić, I. Milošević, T. Vuković, and B. Nikolić, New J. Phys. 5, 148.1 (2003).
Yu. E. Lozovik and A. M. Popov, Chem. Phys. Lett. 328, 355 (2000).
A. Hashimoto, K. Suenaga, K. Urita, T. Shimada, T. Sugai, S. Bandow, H. Shinohara, and S. Iijima, Phys. Rev. Lett. 94, 045504 (2005).
L. Zhang, Z. Jia, L. Huang, S. O’Brien, and Z. Yu, J. Phys. Chem. C 112, 13893 (2008).
E. Dobardžić, I. Milošević, T. Vuković, B. Nikolić, and M. Damnjanović, Eur. Phys. J. B 34, 409 (2003).
T. Vuković, S. Dmitrović, and E. Dobardžić, Nanotechnology 17, 747 (2006).
K. Hirahara, M. Kociak, S. Bandow, T. Nakahira, K. Itoh, Y. Saito, and S. Iijima, Phys. Rev. B: Condens. Matter 73, 195420 (2006).
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Original Russian Text © A. M. Popov, Yu.E. Lozovik, A.S. Sobennikov, A.A. Knizhnik, 2009, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 135, No. 4, pp. 711–720.
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Popov, A.M., Lozovik, Y.E., Sobennikov, A.S. et al. Nanomechanical properties and phase transitions in a double-walled (5,5)@(10,10) carbon nanotube: ab initio calculations. J. Exp. Theor. Phys. 108, 621–628 (2009). https://doi.org/10.1134/S1063776109040104
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DOI: https://doi.org/10.1134/S1063776109040104