Vibration of ZnO nanotubes: a molecular mechanics approach
- 225 Downloads
- 19 Citations
Abstract
We investigate the vibrational properties of two kinds of single-wall ZnO nanotubes. The simulations are carried out for three types of zigzag nanotubes (5,0), (8,0), (10,0) and armchair nanotubes (3,3), (4,4), (6,6). The natural frequencies are determined by means of the molecular mechanics approach with the universal force field potential. The first four natural frequencies are obtained for length/diameter ratio of about 5–20. The vibration modes associated with these frequencies have been computed. Closed-form analytical expressions have been derived using the continuum shell theory for the physical explanations of the simulations results. We observe that the natural frequencies decrease as the aspect ratios increase. The results follow similar trends with results of previous studies for carbon nanotubes (CNT). However, the magnitudes of the frequencies are lower from the corresponding CNT counterparts, indicating that ZnO nanotubes are comparatively less stiff.
Keywords
Vibrational analysis ZnO nanotube Molecular mechanicsPreview
Unable to display preview. Download preview PDF.
References
- 1.U. Ozgur, Y. Alivov, C. Liu, A. Teke, M. Reshchikov, S. Dogan, V. Avrutin, S. Cho, H. Morkoc, J. Appl. Phys. 98(4), 041301 (2005) CrossRefADSGoogle Scholar
- 2.Z.C. Tu, X. Hu, Phys. Rev. B 74(3), 035434 (2006) CrossRefADSGoogle Scholar
- 3.D. Look, D. Reynolds, J. Sizelove, R. Jones, C. Litton, G. Cantwell, W. Harsch, Solid State Commun. 105(6), 399 (1998) CrossRefADSGoogle Scholar
- 4.Z. Fu-Chun, Z. Zhi-Yong, Z. Wei-Hu, Y. Jun-Feng, Y. Jiang-Ni, Chin. Phys. Lett. 26(1), 016105 (2009) CrossRefADSGoogle Scholar
- 5.Q. Wan, Z. Xiong, J. Dai, J. Rao, F. Jiang, Opt. Mater. 30, 817 (2008) CrossRefADSGoogle Scholar
- 6.Y. Yu-Rong, Y. Xiao-Hong, G. Zhao-Hui, D. Yu-Xiang, Chin. Phys. B 17(9), 3433 (2008) ADSCrossRefGoogle Scholar
- 7.F. Decremps, F. Datchi, A. Saitta, A. Polian, S. Pascarelli, A. Di Cicco, J. Itie, F. Baudelet, Phys. Rev. B 68(10), 104101 (2003) CrossRefADSGoogle Scholar
- 8.Z. Tang, G. Wong, P. Yu, M. Kawasaki, A. Ohtomo, H. Koinuma, Y. Segawa, Appl. Phys. Lett. 72(25), 3270 (1998) CrossRefADSGoogle Scholar
- 9.Z. Wang, J. Phys. Condens. Matter 16(25), R829 (2004) CrossRefADSGoogle Scholar
- 10.Y. Sun, D.J. Riley, M.N.R. Ashfold, J. Phys. Chem. B 110(31), 15186 (2006) CrossRefGoogle Scholar
- 11.X.J. Liu, J.W. Li, Z.F. Zhou, L.W. Yang, Z.S. Ma, G.F. Xie, Y. Pan, C.Q. Sun, Appl. Phys. Lett. 94(13), 131902 (2009) CrossRefADSGoogle Scholar
- 12.W.F. Perger, J. Criswell, B. Civalleri, R. Dovesi, Comput. Phys. Commun. 180(10), 1753 (2009) CrossRefADSGoogle Scholar
- 13.J. Qi, D. Shi, B. Wang, Comput. Mater. Sci. 46(2), 303 (2009) CrossRefGoogle Scholar
- 14.H. Ni, X. Li, Nanotechnology 17(14), 3591 (2006) CrossRefADSGoogle Scholar
- 15.M. Arnold, P. Avouris, Z. Pan, Z. Wang, J. Phys. Chem. B 107(3), 659 (2003) CrossRefGoogle Scholar
- 16.R. Zhu, D. Wang, S. Xiang, Z. Zhou, X. Ye, Sens. Actuators A 154(2), 224 (2009). Special Issue CrossRefGoogle Scholar
- 17.A. Asthana, K. Momeni, A. Prasad, Y.K. Yap, R.S. Yassar, Appl. Phys. Lett. 95(17), 172106 (2009) CrossRefADSGoogle Scholar
- 18.R. Agrawal, H.D. Espinosa, J. Eng. Mater. Technol., Trans. ASME 131(4), 041208 (2009) CrossRefGoogle Scholar
- 19.A.V. Desai, M.A. Haque, Sens. Actuators A 134(1), 169 (2007). Special Issue CrossRefGoogle Scholar
- 20.M. Riaz, O. Nur, M. Willander, P. Klason, Appl. Phys. Lett. 92(10), 034309 (2008) CrossRefGoogle Scholar
- 21.M. Lucas, W. Mai, R. Yang, Z.L. Wang, E. Riedo, Nano Lett. 7(5), 1314 (2007) CrossRefADSGoogle Scholar
- 22.W. Mai, Z.L. Wang, Appl. Phys. Lett. 89(7), 073112 (2006) CrossRefADSGoogle Scholar
- 23.X. Bai, P. Gao, Z. Wang, E. Wang, Appl. Phys. Lett. 82(26), 4806 (2003) CrossRefADSGoogle Scholar
- 24.X. Shen, P.B. Allen, J.T. Muckerman, J.W. Davenport, J.C. Zheng, Nano Lett. 7(8), 2267 (2007) CrossRefADSGoogle Scholar
- 25.C. Chen, Y. Shi, Y. Zhang, J. Zhu, Y. Yan, Phys. Rev. Lett. 96(7), 075505 (2006) CrossRefADSGoogle Scholar
- 26.A. Kulkarni, M. Zhou, F. Ke, Nanotechnology 16(12), 2749 (2005) CrossRefADSGoogle Scholar
- 27.A.J. Kulkarni, M. Zhou, Acta Mech. Sin. 22(3), 217 (2006) CrossRefADSMATHGoogle Scholar
- 28.Y. Sun, G. Fuge, N. Fox, D. Riley, M. Ashfold, Adv. Mater. 17(20), 2477 (2005) CrossRefGoogle Scholar
- 29.H. Li, Z.H. Jiang, Q. Jiang, Chem. Phys. Lett. 465(1–3), 78 (2008) ADSGoogle Scholar
- 30.S. Erkoc, H. Kokten, Phys. E-Low-Dimens. Syst. Nanostruct. 28(2), 162 (2005) CrossRefADSGoogle Scholar
- 31.Z. Fan, J. Lu, J. Nanosci. Nanotechnol. 5(10), 1561 (2005) CrossRefGoogle Scholar
- 32.X. Kong, X. Sun, X. Li, Y. Li, Mater. Chem. Phys. 82(3), 997 (2003) CrossRefGoogle Scholar
- 33.H. Xu, F. Zhan, A.L. Rosa, T. Frauenheim, R.Q. Zhang, Solid State Commun. 148(11–12), 534 (2008) CrossRefADSGoogle Scholar
- 34.Y. Li, Z. Zhou, Y. Chen, Z. Chen, J. Chem. Phys. 130(20), 204706 (2009) CrossRefADSGoogle Scholar
- 35.C. Li, T.W. Chou, Int. J. Solids Struct. 40(10), 2487 (2003) CrossRefMATHGoogle Scholar
- 36.K. Hashemnia, M. Farid, R. Vatankhah, Comput. Mater. Sci. 47(1), 79 (2009) CrossRefGoogle Scholar
- 37.F. Scarpa, S. Adhikari, J. Non-Cryst. Solids 354(35–39), 4151 (2008) CrossRefADSGoogle Scholar
- 38.S.K. Georgantzinos, G.I. Giannopoulos, N.K. Anifantis, Comput. Mech. 43(6), 731 (2009) CrossRefMATHGoogle Scholar
- 39.H. Xu, R.Q. Zhang, X. Zhang, A.L. Rosa, T. Frauenheim, Nanotechnology 18(48), 485713 (2007) CrossRefGoogle Scholar
- 40.R. Chowdhury, S. Adhikari, F. Scarpa, Phys. E-Low-Dimens. Syst. Nanostruct. 42(8), 2036 (2010) CrossRefADSGoogle Scholar
- 41.Y. Xing, Z. Xi, X. Zhang, J. Song, R. Wang, J. Xu, Z. Xue, D. Yu, Solid State Commun. 129(10), 671 (2004) CrossRefADSGoogle Scholar
- 42.A. Wei, X. Sun, C. Xu, Z. Dong, M. Yu, W. Huang, Appl. Phys. Lett. 88(21), 213102 (2006) CrossRefADSGoogle Scholar
- 43.Z. Zhou, Y. Li, L. Liu, Y. Chen, S.B. Zhang, Z. Chen, J. Phys. Chem. C 112(36), 13926 (2008) CrossRefGoogle Scholar
- 44.B. Wang, S. Nagase, J. Zhao, G. Wang, Nanotechnology 18(34), 345706 (2007) CrossRefGoogle Scholar
- 45.A.K. Rappe, C.J. Casewit, K.S. Colwell, W.A. Goddard, W.M. Skiff, J. Am. Chem. Soc. 114(25), 10024 (1992) CrossRefGoogle Scholar
- 46.D.F. McIntosh, Theor. Chem. Acc., Theory Comput. Model. 125(3–6), 177 (2010) Google Scholar
- 47.R. Chowdhury, S. Adhikari, C.Y. Wang, F. Scarpa, Comput. Mater. Sci. 48(4), 730 (2010) CrossRefGoogle Scholar
- 48.W. Soedel, Vibration of Shells and Plates, 3rd edn. (Marcel Dekker, New York, 2004) Google Scholar
- 49.F. Scarpa, C.W. Smith, M. Ruzzene, K. Wadee, Phys. Stat. Solidi B 245(3), 584 (2008) CrossRefADSGoogle Scholar
- 50.S.M. Jeong, M. Ruzzene, Shock Vib. 11(3–4), 311 (2004) Google Scholar