Please wait a minute...
Chin. Phys. B, 2012, Vol. 21(6): 060301    DOI: 10.1088/1674-1056/21/6/060301
GENERAL Prev   Next  

A density functional theory study on parameters fitting of ultra long armchair (n, n) single walled boron nitride nanotubes

Wang Yan-Li(王艳丽)a)†, Zhang Jun-Ping(张军平)a), Su Ke-He(苏克和)a), Wang Xin(王欣)a), Liu Yan(刘艳)b), and Sun Xu(孙旭)a)
a. Key Laboratory of Space Applied Physics and Chemistry, Ministry of Education of China, School of Natural and Applied Sciences, Northwestern Polytechnical University, Xi'an 710072, China;
b. College of Chemistry and Life Science, Weinan Normal University, Weinan 714000, China
Abstract  Armchair (n, n) single walled boron nitride nanotubes with n=2-17 are studied by the density functional theory at the B3LYP/3-21G(d) level combined with the periodic boundary conditions for simulating the ultra long model. The results show that the structure parameters and the formation energies bear a strong relationship to n. The fitted analytical equations are developed with correlation coefficients larger than 0.999. The energy gaps of (2, 2) and (3, 3) tubes are indirect gaps, and the larger tubes (n=4-17) have direct energy gaps. Results show that the armchair boron nitride nanotubes (n=2-17) are insulators with wide energy gaps of between 5.93 eV and 6.23 eV.
Keywords:  boron nitride nanotubes      ultra long      periodic boundary conditions      formulas fitting  
Received:  11 October 2011      Revised:  29 November 2011      Accepted manuscript online: 
PACS:  03.65.-w (Quantum mechanics)  
  78.67.-n (Optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures)  
  81.07.De (Nanotubes)  
  73.20.At (Surface states, band structure, electron density of states)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 50572089) and the Basic Research Foundation of Northwestern Polytechnical University (Grant No. JC201269).
Corresponding Authors:  Wang Yan-Li     E-mail:  wangyanli@nwpu.edu.cn

Cite this article: 

Wang Yan-Li(王艳丽), Zhang Jun-Ping(张军平), Su Ke-He(苏克和), Wang Xin(王欣), Liu Yan(刘艳), and Sun Xu(孙旭) A density functional theory study on parameters fitting of ultra long armchair (n, n) single walled boron nitride nanotubes 2012 Chin. Phys. B 21 060301

[1] Iijima S 1991 Nature 354 56
[2] Iijima S 1993 Mater. Sci. Eng. B 19 172
[3] Rubio A, Corkill J L and Cohen M L 1994 Phys. Rev. B 49 5081
[4] Blase X, Rubio A, Louie S G and Cohen M L 1994 Europhys. Lett. 28 335
[5] Chopra N G, Luyken R J, Cherrey K, Crespi V H, Cohen M L, Louie S G and Zettle A 1995 Science 269 966
[6] Loiseau A, Willaime F, Demoncy N, Hug G and Pascard H 1996 Phys. Rev. Lett. 76 4737
[7] Pouch J J and Alterovitz A 1990 Synthesis and Properties of Boron Nitride (Z黵ich: Trans. Tech. Publications) p. 54
[8] Maryam M and Mahmoud M 2010 Physica E 42 2147
[9] Gorbunova M A, Shein I R, Makurin Y N, Ivanovskaya V V, Kijko V S and Ivanovskii A L 2008 Physica E 41 164
[10] Loiseau A, Willaime F, Demoncy N, Schramchenko N, Hug G, Colliex C and Pascard H 1998 Carbon 36 743
[11] Golberg D, Bando Y, Tang C C and Zhi C Y 2007 Adv. Mater. 19 2413
[12] Han W Q, Zett L A and Am J 2002 Chem. Soc. 125 2062
[13] Sueyavanshia A P, Yu M F, Wen J G, Tang C C and Yoshio B 2004 Appl. Phys. Lett. 84 2527
[14] Chopra N G and Zettle A 1998 Sol. St. Comm. 105 297
[15] Chen Y, Zou J, Campbell S J and Gerard L C 2004 Appl. Phys. Lett. 84 2430
[16] Wu J, Han W Q, Walukiewicz W, Ager J W, Shan W, Haller E E and Zettl A 2004 Nano Lett. 4 647
[17] Vaccarini L, Goze C, Henrard L, Hern醤dez E, Bernier P and Rubio A 2000 Carbon 38 1681
[18] Takeo O, Naruhiro K and Katsuaki S 2008 Diamond Relat. Mater. 17 1805
[19] Takeo O, Naruhiro K and Katsuaki S 2008 Phys. Chem. Solid 69 1228
[20] Moradian R and Azadi S 2006 Physica E 35 157
[21] Zhi C Y, Bando Y, Tang C C and Golberg D 2010 Mater. Sci. Eng. (R: Reports) 70 92.
[22] Villalpando-Paez F, Zamudio A, Elias A L, Son H, Barros E B, Chou S G, Kim Y A, Muramatsu H, Hayashi T, Kong J, Terrones H, Dresselhaus G, Endo M, Terrones M and Dresselhaus M S 2006 Chem. Phys. Lett. 424 345
[23] Chou Y M, Wang H W, Lin Y J, Chen W H and Wang B C 2009 Diamond Relat. Mater. 18 351
[24] Takeo O and Ichihito N 2002 Physica B: Conden. Matter 323 216
[25] Feibelman P J 1987 Phys. Rev. B 35 2626
[26] Jaffe J E and Hess A C 1996 Chem. Phys. 105 10983
[27] Dovesi R, Civalleri B, Orlando R, Roetti C, Saunders V R, Lipkowitz K B, Larter R and Cundari T R (eds.) 2005 Reviews in Computational Chemistry (New York: Wiley) 21 pp. 1-11
[29] Frisch M J, Trucks G W, Schlegel H B, Scuseria G E, Robb M A, Cheeseman J R, Scalmani G, Barone V, Mennucci B, PeterssonA P, Nakatsuji H, Caricato M, Li X, Hratchian H P, Izmaylov A F, Bloino J, Zheng G, Sonnenberg J L, Hada M, Ehara M, Toyota K G, Fukuda R, Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Vreven T, Montgomery J A, Peralta J E, Ogliaro F, Bearpark M, Heyd J J, Brothers E, Kudin K N, Staroverov V N, Kobayashi R, Normand J, Raghavachari K, Rendell A, Burant J C, Iyengar S S, Tomasi J, Cossi M, Rega N, Millam J M, Klene M, Knox J E, Cross J B, Bakken V, Adamo C, Jaramillo J, Gomperts R, Stratmann R E, Yazyev O, Austin A J, Cammi R, Pomelli C, Ochterski J W, Martin R L, Morokuma K, Zakrzewski V G, Voth G A, Salvador P, Dannenberg J J, Dapprich S, Daniels A D, Farkas O, Foresman J B, Ortiz J V, Cioslowski J and Fox D J 2009 Gaussian 09, Revision A.02, Gaussian, Inc., Wallingford CT
[29] Wang Y L, Su K H, Wang X and Liu Y 2011 Acta Phys. Sin. 60 098111 (in Chinese)
[30] Truhlar D G, Isaacson A D and Garrett B C 1985 The Theory of Chemical Reaction Dynamics (Boca Raton: CRC Press) p. 65
[31] Blase X, Vita A D, Charlier J and Car R 1998 Phys. Rev. Lett. 80 1666
[32] Srivastava D, Menon M and Cho K 2001 Phys. Rev. B 63 195413
[33] Menon M and Srivastava D 1999 Chem. Phys. Lett. 307 407
[34] Zhao X, Liu Y, Inoue S, Suzuki T, Jones R O and Ando Y 2004 Phys. Rev. Lett. 92 125502
[1] Formalism of rotating-wave approximation in high-spin system with quadrupole interaction
Wen-Kui Ding(丁文魁) and Xiao-Guang Wang(王晓光). Chin. Phys. B, 2023, 32(3): 030301.
[2] Floquet scattering through a parity-time symmetric oscillating potential
Xuzhen Cao(曹序桢), Zhaoxin Liang(梁兆新), and Ying Hu(胡颖). Chin. Phys. B, 2023, 32(3): 030302.
[3] Spontaneous emission of a moving atom in a waveguide of rectangular cross section
Jing Zeng(曾静), Jing Lu(卢竞), and Lan Zhou(周兰). Chin. Phys. B, 2023, 32(2): 020302.
[4] Enhancement of charging performance of quantum battery via quantum coherence of bath
Wen-Li Yu(于文莉), Yun Zhang(张允), Hai Li(李海), Guang-Fen Wei(魏广芬), Li-Ping Han(韩丽萍), Feng Tian(田峰), and Jian Zou(邹建). Chin. Phys. B, 2023, 32(1): 010302.
[5] Structure of continuous matrix product operator for transverse field Ising model: An analytic and numerical study
Yueshui Zhang(张越水) and Lei Wang(王磊). Chin. Phys. B, 2022, 31(11): 110205.
[6] Quantum speed limit for mixed states in a unitary system
Jie-Hui Huang(黄接辉), Li-Guo Qin(秦立国), Guang-Long Chen(陈光龙), Li-Yun Hu(胡利云), and Fu-Yao Liu(刘福窑). Chin. Phys. B, 2022, 31(11): 110307.
[7] Characterizing entanglement in non-Hermitian chaotic systems via out-of-time ordered correlators
Kai-Qian Huang(黄恺芊), Wei-Lin Li(李蔚琳), Wen-Lei Zhao(赵文垒), and Zhi Li(李志). Chin. Phys. B, 2022, 31(9): 090301.
[8] Real non-Hermitian energy spectra without any symmetry
Boxue Zhang(张博学), Qingya Li(李青铔), Xiao Zhang(张笑), and Ching Hua Lee(李庆华). Chin. Phys. B, 2022, 31(7): 070308.
[9] Digraph states and their neural network representations
Ying Yang(杨莹) and Huaixin Cao(曹怀信). Chin. Phys. B, 2022, 31(6): 060303.
[10] Probabilistic resumable quantum teleportation in high dimensions
Xiang Chen(陈想), Jin-Hua Zhang(张晋华), and Fu-Lin Zhang(张福林). Chin. Phys. B, 2022, 31(3): 030302.
[11] Optical wavelet-fractional squeezing combinatorial transform
Cui-Hong Lv(吕翠红), Ying Cai(蔡莹), Nan Jin(晋楠), and Nan Huang(黄楠). Chin. Phys. B, 2022, 31(2): 020303.
[12] Time evolution law of a two-mode squeezed light field passing through twin diffusion channels
Hai-Jun Yu(余海军) and Hong-Yi Fan(范洪义). Chin. Phys. B, 2022, 31(2): 020301.
[13] Theoretical study of (e, 2e) triple differential cross sections of pyrimidine and tetrahydrofurfuryl alcohol molecules using multi-center distorted-wave method
Yiao Wang(王亦傲), Zhenpeng Wang(王振鹏), Maomao Gong(宫毛毛), Chunkai Xu(徐春凯), and Xiangjun Chen(陈向军). Chin. Phys. B, 2022, 31(1): 010202.
[14] Topology of a parity-time symmetric non-Hermitian rhombic lattice
Shumai Zhang(张舒迈), Liang Jin(金亮), and Zhi Song(宋智). Chin. Phys. B, 2022, 31(1): 010312.
[15] Connes distance of 2D harmonic oscillators in quantum phase space
Bing-Sheng Lin(林冰生) and Tai-Hua Heng(衡太骅). Chin. Phys. B, 2021, 30(11): 110203.
No Suggested Reading articles found!