Geometrical Model Based Refinements in Nanotube Chiral Indices ()

Levan Chkhartishvili, Tamar Berberashvili

.

**DOI: **10.4236/wjnse.2011.12007
PDF
HTML
4,013
Downloads
7,950
Views
Citations

.

There is demonstrated how it is possible to refine graphitic nanotubes’ chiral indices based on the appropriate geometrical model for their structure.

Share and Cite:

Chkhartishvili, L. and Berberashvili, T. (2011) Geometrical Model Based Refinements in Nanotube Chiral Indices. *World Journal of Nano Science and Engineering*, **1**, 45-50. doi: 10.4236/wjnse.2011.12007.

Conflicts of Interest

The authors declare no conflicts of interest.

[1] | S. Iijima, “Helical Microtubules of Graphitic Carbon,” Nature, Vol. 354, No. 6348, 1991, pp. 56-58. |

[2] | A. Jorio, M. S. Dresselhaus, M. Saito and G. Dresselhaus, “Raman Spectroscopy in Graphene Related Systems,” Wiley–VCH, Berlin, 2011. |

[3] | N. G. Chopra, R. J. Luyken, K. Cherrey, V. H. Crespi, M. L. Cohen, S. G. Louie and A. Zettl, “Boron Nitride Nanotubes,” Science, Vol. 269, No. 5226, 1995, pp. 966-967. |

[4] | Y. Zhang and K. Suenaga, C. Colliex and S. Iijima, “Coaxial Nanocable: Silicon Carbide and Silicon Oxide Sheathed with Boron Nitride and Carbon,” Science, Vol. 281, No. 5379, 1998, pp. 973-975. |

[5] | X. Blasé, J.-C. Charlier, A. de Vita and R. Car, “Structural and Electronic Properties of Composite BxCyNz Nanotubes and Heterojunctions,” Applied Physics A, Vol. 68, No. 3, 1999, pp. 293-300. |

[6] | V. V. Pokropivny, V. V. Skorokhod, G. S. Oleinik, A. V. Kurdyumov, T .S. Bartnitskaya, A. V. Pokropivny, A. G. Sisonyuk and D. M. Sheichenko, “Boron Nitride Analogs of Fullerenes (the Fulborenes), Nanotubes, and Fullerites (the Fulborenites),” Journal of Solid State Chemistry, Vol. 154, No. 1, 2000, pp. 214-222. |

[7] | S. M. Nakhmanson, A. Cazolari, V. Meunier, J. Bernholc and M. Boungiorno Nardeli, “Spontaneous Polarization and Piezoelectricity in Boron Nitride Nanotubes,” Physical Review B, Vol. 67, No. 235406, 2003, 5 pp. |

[8] | N. Sai and E. J. Mele, “Microscopic Theory for Nanotube Piezoelectricity,” Physical Review B, Vol. 68, No. 241405(R), 2003, 3 pp. |

[9] | W.-Q. Han, C. W. Chang and A. Zettl, “Encapsulation of One-Dimensional Potassium Halide Crystals within BN Nanotubes,” Nano Letters, Vol. 4, No. 7, 2004, pp. 1455- 1357. |

[10] | K. Yum and M.-F. Yu, “Measurement of Wetting Properties of Individual Boron Nitride Nanotubes with the Wilhelmy Method Using a Nanotube-Based Force Sensor,” Nano Letters, Vol. 6, No. 2, 2006, pp. 329-333. |

[11] | Ch. Zhi, Y. Bando, Ch. Tang and D. Golberg, “Engineering of Electronic Structure of Boron-Nitride Nanotubes by Covalent Functionalization,” Physical Review B, Vol. 74, No. 153413, 2006, 4 pp. |

[12] | S. A. Shevlin and Z. X. Guo, “Hydrogen Sorption in Defective Hexagonal BN Sheets and BN Nanotubes,” Physical Review B, Vol. 76, No. 024104, 2007, 11 pp. |

[13] | E. Durgun, Y.-R. Jang and S. Ciraci, “Hydrogen Storage Capacity of Ti-doped Boron-Nitride and B/Be-Substituted Carbon Nanotubes,” Physical Review B, Vol. 76, No. 073413, 2007, 4 pp. |

[14] | Q. Wu, Zh. Hu, X. Wang, Y. Lu, X. Chen, H. Xu and Y. Chen, “Synthesis and Characterization of Faceted Hexagonal Aluminum Nitride Nanotubes,” Journal of the American Chemical Society, Vol. 125, No. 34, 2003, pp. 10176-10177. |

[15] | J. Goldberger, R. He, Y. Zhang, S. Lee, H. Yan and H.-J. Choi, P. Yang, “Single-Crystal Gallium Nitride Nanotubes,” Nature, Vol. 422, No. 6932, 2003, pp. 599-602. |

[16] | J. Q. Hu, Q. Li, X. M. Meng, C. S. Lee and S. T. Lee, “Thermal Reduction Route to the Fabrication of Coaxial Zn / ZnO Nanocables and ZnO Nanotubes,” Chemistry of Materials, Vol. 15, No. 1, 2003, pp. 305-308. |

[17] | Y. J. Xing, Z. H. Xi, Z. Q. Xue, X. D. Zhang, J. H. Song, R. M. Wang, J. Xu, Y. Song, S. L. Zhang and D. P. Yu, “Optical Properties of the ZnO Nanotubes Synthesized via Vapor Phase Growth,” Applied Physics Letters, Vol. 83, No. 9, 2003, pp. 1689-1691. |

[18] | X. H. Zhang, S. Y. Xie, Zh. Y. Jiang, X. Zhang, Zh.-Q. Tian, Zh.-X. Xie, R.-B. Huang and L. S. Zheng, “Rational Design and Fabrication of ZnO Nanotubes from Nanowire Templates in a Microwave Plasma System,” Journal of Physical Chemistry B, Vol. 107, No. 37, 2003, pp. 10114-10118. |

[19] | S. Erkoc and H. K?kten, “Structural and Electronic Properties of Single-Wall ZnO Nanotubes,” Physica E, Vol. 28, No. 2, 2005, pp. 162-170. |

[20] | H. Zhang, Sh. Zhang, Sh. Pan, G. Li and J. Hou, “A Simple Solution Route to ZnS Nanotubes and Hollow Nanospheres and Their Pptical Properties,” Nanotechnology, Vol. 15, No. 8, 2004, pp. 945-948. |

[21] | Y. Ch. Zhu, Y. Bando and Y. Uemura, “ZnS?Zn Nanocables and ZnS Nanotubes,” Chemical Communications, No. 7, 2003, pp. 836-837. |

[22] | M. S. Dresselhaus, G. Dresselhaus and R. Saito, “Carbon Fibers Based on C60 and Their Symmetry,” Physical Review B, Vol. 45, No. 11, 1992, pp. 6234-6242. |

[23] | R. A. Jishi, M. S. Dresselhaus and G. Dresselhaus, “Symmetry Properties of Chiral Carbon Nanotubes,” Physical Review B, Vol. 47, No. 24, 1993, pp. 16671- 16674. |

[24] | M. S. Dresselhaus, G. Dresselhaus and R. Saito, “Physics of Carbon Nanotubes,” Carbon, Vol. 33, No. 7, 1995, pp. 883-891. |

[25] | A. Rubio, J. L. Corkill and M. L. Cohen, “Theory of Graphitic Boron Nitride Nanotubes,” Physical Review B, Vol. 49, No. 7, 1994-I, pp. 5081-5084. |

[26] | B. J. Cox and J. M. Hill, “Exact and Approximate Geometric Parameters for Carbon Nanotubes Incorporating Curvature,” Carbon, Vol. 45, No. 7, 2007, pp. 1453- 1462. |

[27] | B. J. Cox and J. M. Hill, “Geometric structure of Ultra-Small Carbon Nanotubes,” Carbon, Vol. 46, No. 4, 2008, pp. 711-713. |

[28] | R. K. F. Lee, B. J. Cox and J. M. Hill, “The Geometric Structure of Single-Walled Nanotubes,” Nanoscale, Vol. 2, No. 6, 2010, pp. 859-872. |

[29] | L. S. Chkhartishvili, “On Sizes of Boron Nitride Nanotubes,” In: I. M. Neklyudov and V. M. Shulayev, Eds., Thin Films in Optics and Nanoelectronics, NSC “KhIPT”–PPP “Contrast”, Kharkiv, 2006, pp. 367-373. |

[30] | L. S. Chkhartishvili, “Equilibrium Geometry of Ultra-Small-Radius Boron Nitride Nanotubes,” Material Science of Nanostructures, No. 1, 2009, pp. 33-44. |

[31] | L. Chkhartishvili, “Boron Nitride Nanosystems of Regular Geometry,” Journal of Physics: Conference Series, Vol. 176, No. 012014, 2009, 17 pp. |

[32] | L. S. Chkhartishvili and T. M. Berberashvili, “Sequences of Layers in Binary Compounds Multi-Walled Nanotubes and Multi-Shelled Fullerenes,” Material Science of Nanostructures, No. 3, 2010, pp. 20-28. |

[33] | L. Chkhartishvili, “Quasi-Classical Theory of Substance Ground State,” Technical University Press, Tbilisi, 2004. |

[34] | L. S. Chkhartishvili, “Volume of the Intersection of Three Spheres,” Mathematical Notes, Vol. 69, No. 3, 2001, pp. 421-428. |

[35] | L. S. Chkhartishvili, “Iterative Solution of the Secular Equation,” Mathematical Notes, Vol. 77, No. 1, 2005, pp. 273-279. |

[36] | L. Chkhartishvili and I. Murusidze, “Molar Binding Energy of Zigzag and Armchair Single-Walled Boron Nitride Nanotubes,” Materials Sciences and Applications, Vol. 1, No. 4, 2010, pp. 223-246. |

[37] | H. Chen and E. Ruckenstein, “The Driving Force of Channel Formation in Triheteropolymers Confined in Nanocylindrical Tubes,” Journal of Chemical Physics, Vol. 130, No. 024901, 2009, 5 pp. |

[38] | H. Chen and E. Ruckenstein, “Nanostructures Self-Assembled in Polymer Solutions Confined in Cylindrical Nanopores,” Langmuir, Vol. 25, No. 20, 2009, pp. 12315-12319. |

[39] | H. Chen and E. Ruckenstein, “The Structure of Nanochannels Formed by Block Copolymer Solutions Confined in Nanotubes,” Journal of Chemical Physics, Vol. 131, No. 114904, 2009, 6 pp. |

[40] | H. Chen and E. Ruckenstein, “Relation between Molecular Orientation and Morphology of a Multiblock Copolymer Melt Confined in Cylindrical Nanopores,” Polymer, Vol. 51, No. 4, 2010, pp. 968-974. |

[41] | D. Y. Joh, L. H. Herman, S.-Y. Ju, J. Kinder, M. A. Segal, J. N. Johnson, G. K. L. Chan and J. Park, “On-Chip Rayleigh Imaging and Spectroscopy of Carbon Nanotubes,” Nano Letters, Vol. 11, No. 1, 2011, pp. 1-7. |

[42] | J. Kunstman, A. Quandt and I. Boustani, “An Approach to Control the Radius and the Chirality of Nanotubes,” Nanotechnology, Vol. 18, No. 155703, 2007, 3 pp. |

[43] | A. Zobelli, C.P. Ewels, A. Gloter, G. Seifert, O. Stephan, S. Csillag and C. Colliex, “Defective Structure of BN Nanotubes: From Single Vacancies to Dislocation Lines,” Nano Letters, Vol. 6, No. 9, 2006, pp. 1955-1960. |

Journals Menu

Contact us

+1 323-425-8868 | |

customer@scirp.org | |

+86 18163351462(WhatsApp) | |

1655362766 | |

Paper Publishing WeChat |

Copyright © 2024 by authors and Scientific Research Publishing Inc.

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.