Journal of Nanoscience and Nanoengineering
Articles Information
Journal of Nanoscience and Nanoengineering, Vol.2, No.5, Oct. 2016, Pub. Date: Nov. 2, 2016
Finding the Chirality of Semiconducting DWCNT Using Empirical Equation of Radial Breathing Mode Frequency of RRS and Optical Transition Energy
Pages: 34-39 Views: 4521 Downloads: 1154
Authors
[01] Adnan Siraj Rakin, Department of Electrical and Electronic Engineering, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh.
[02] S. M. Mominuzzaman, Department of Electrical and Electronic Engineering, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh.
Abstract
The main objective of this work is to obtain the Chirality of inner and outer tube of double walled carbon nanotube successfully for the first time taking the interaction effect of the walls of Double Walled Carbon Nanotubes (DWNT) into account. Once the diameter is obtained from the Radial Breathing Mode (RBM) Frequency of Resonant Raman Spectroscopy (RRS) then this can be used as a base to form an equation with the chiralities of inner and outer tube which was previously shown for Single walled carbon nanotube. By Taking the interaction effect into account both the RBM frequency and Optical transition energy relation with diameter were modified for DWNT. This improved equation gave accurate diameter of the tubes from Radial Breathing Mode frequency with almost no error. Since from RRS the diameter and Optical transition energy is known and their relation with chirality can be used to solve for the chirality of both inner and outer tube. While solving those two equations the interaction effect between the tubes were also taken into account by building a proper algorithm.
Keywords
Double Walled Carbon Nanotube, Raman Spectroscopy, Optical Transition Energy, Chirality
References
[01] A. Kasuya, Y. Sasaki, Y. Saito, K. Tohji, Y. Nishina: Evidence for size dependent discrete dispersions in single-wall nanotubes, Phys. Rev. Lett. 78, 4434 (1997).
[02] S. Reich, J. Maultzsch, C. Thomsen, P. Ordej´ on: Tight-binding description of graphene, Phys. Rev. B66, 035412 (2002).
[03] S. Reich and C. Thomsen, Phys. Rev. B 62, 4273 (2000).
[04] R. Saito, G. Dresselhaus, and M. S. Dresselhaus, Physical Properties of Carbon Nanotubes (Imperial College Press, London, 1998).
[05] X. Blase, L. X. Benedict, E. L. Shirley, S. G. Louie: Hybridization effects and metallicity in small radius carbon nanotubes, Phys. Rev. Lett. 72, 1 878 (1994).
[06] P. M. Rafailov, H. Jantoljak, C. Thomsen: Electronic transitions in single walled carbon nanotubes: A resonance Raman study, Phys. Rev. B61, 16 179 (2000).
[07] J. D. Correa, A. J. R. da Silva, and M. Pacheco, “Tight-binding model for carbon nanotubes from ab initio calculations,” J. Phys.: Condens. Matter, Vol. 22, No. 7, pp. 275503, 2010.
[08] S. Reich, J. Maultzsch, and C. Thomsen, “Tight-binding description of graphene,”Phys. Rev. B, Vol. 66, No. 3, pp. 035412, 2002.
[09] H. Zeng, H. F. Hu, J. W. Wei, Z. Y. Wang, L. Wang, and P. Peng, “Curvature effects on electronic properties of small radius nanotube,” Appl. Phys. Lett., Vol. 91, No. 3, pp. 033102, 2007.
[10] P. Y. Yu, M. Cardona: Fundamentals of Semiconductors (Springer-Verlag, Berlin 1996.
[11] P. K. Valavala, D. Banyai, M. Seel, and R. Pati, “Selfconsistent calculations ofstrain-induced band gap changes in semiconducting (n, 0) carbon nanotubes,”Phys. Rev. B, Vol. 78, No. 23, pp. 235430, 2008.
[12] Jamal, G. R. A. et al.: Elec. Engg., Instn. Engrs., Bangladesh, 37 (II), December 2011.
[13] D. Graf, F. Molitor, K. Ensslin, C. Stampfer, A. Jungen, C. Hierold, L. Wirtz, Raman imaging of graphene, Solid State Communications 143 (2007).
[14] Henrard, L.; Herna dez, E.; Bernier, P.; Rubio, A. Phys. ReV. B 1999, 60, R8521.
[15] Rao, A. M.; Chen, J.; Richter, E.; Schlecht, U.; Eklund, P. C.; Haddon, R. C.; Venkates waran, U. D.; Kwon, Y.-K.; Toma ek, D. Phys. ReV. Lett. 2001, 86, 3895.
[16] Minggang Xia, Shengli Zhang, Xianjun Zuo, Erhu Zhang, Shumin Zhao, Jian Li, Lei Zhang, Yachao Liu, and Run Liang PHYSICAL REVIEW B 70, 205428 (2004).
[17] Daisuke Shimamoto, Hiroyuki Muramatsu, Takuya Hayashi, Yoong Ahm Kim, Morinobu Endo, Jin Sung Park, Riichiro Saito, Mauricio Terrones, and Mildred S. Dresselhaus Applied Physics Letters 94, 083106 (2009).
[18] B. W. Smith, M. Monthioux, and D. E. Luzzi, Nature London 396, 323 1998.
[19] H. Yorikawa and S. Muramatsu, “Chirality-dependence of energy gaps of semiconducting nanotubules”, Solid State Communications, Vol 94, Issue 6, Pages 435-437, May 1995.
[20] M. S. Strano, S. K. Doorn, E. H. Haroz, C. Kittrell, R. H. Hauge and R. E. Smalley, “Assignment of (n, m) Raman and Optical Features of Metallic Single- Walled Carbon Nanotubes”, Nano Lett., Vol. 3, No. 8, pp. 1091-1096, 2003.
[21] Y. Lian, Y. Maeda, T. Wakahara, T. Akasaka, S. Kazaoui, N. Minami, N. Choi and H. Tokumoto, “Assignment of the Fine Structure in the Optical Absorption Spectra of Soluble SingleWalled Carbon Nanotubes”, J. Phys. Chem. B, 107, 12082-12087, 2003.
[22] J. Lefebvre, S. Maruyama and P. Finnie, “Photoluminescence: science and applications”, Topics in Applied Physics, Vol. 111, pp. 287-319, 2008.
[23] Raman Characterization and Tunable Growth of Double-Wall Carbon Nanotubes, Lijie Ci, Zhenping Zhou, Xiaoqin Yan, Dongfang Liu, Huajun Yuan, June 2, 2003.
[24] Identification of the constituents of double-walled carbon nanotubes using Raman spectra taken with different laser-excitation energies, Feng Li, S. G. Chou, Wencai Ren, J. A. Gardecki, 28 November 2002.
[25] Assignment of the chiralities of double-walled carbon nanotubes using two radial breathing modes, Minggang Xia, Shengli Zhang, Xianjun Zuo, Erhu Zhang, Shumin Zhao, 23 November 2004.
[26] G. D. Mahan, Phys. Rev. B65, 235402 2002.
[27] R. Pfeiffer, Ch. Kramberger, F. Simon, H. Kuzmany, September 24, 2013.
[28] Sihan Zhao, Tomoya Kitagawa, Hisanori Shinohara, Ryo Kitaura, Phys. Rev 10.1007/s12274-014-0515, June 13, 2014.
600 ATLANTIC AVE, BOSTON,
MA 02210, USA
+001-6179630233
AIS is an academia-oriented and non-commercial institute aiming at providing users with a way to quickly and easily get the academic and scientific information.
Copyright © 2014 - American Institute of Science except certain content provided by third parties.