
Citation: LIU Hao, LIN Meng-Hai, TAN Kai. A Tight-Binding Density Functional Theory Study on Single-Walled Nanotubes from Anatase TiO2 (101) Sheets[J]. Acta Physico-Chimica Sinica, 2012, 28(08): 1843-1848. doi: 10.3866/PKU.WHXB201205291

由锐钛矿(101)片卷曲成单壁纳米管的紧束缚密度泛函理论研究
English
A Tight-Binding Density Functional Theory Study on Single-Walled Nanotubes from Anatase TiO2 (101) Sheets
A series of chiral anatase (101) nanotubes (NT), which we refer to as (n,0), (0,m), and (n,m), can be formed by rolling up two-dimensional periodic anatase TiO2 (101) single layer sheets. Optimized parameters of the atomic and electronic structures of these nanotubes have been calculated using a tight-binding density functional theory method (DFTB). Their band gaps (Eg) and strain energies (Es) have been analyzed as functions of NT diameter. Except for (6,0), the strain energy and the band gap of all the nanotubes of various chirality decrease as the diameter increases. We also find that the strain energy increases first and then decreases rather than varying monotonically with almost constant band gap when n/m ranges from zero to infinitely large.
-
Key words:
-
Tight-binding density functional method
- / TiO2
- / Anatase
- / Nanotube
-
-
[1]
(1) Fujishima, A.; Honda, K. Nature 1972, 238, 37. doi: 10.1038/238037a0
(1) Fujishima, A.; Honda, K. Nature 1972, 238, 37. doi: 10.1038/238037a0
-
[2]
(2) Adachi, M.; Murata, Y.; Okada, I.; Yoshikawa, S.J. Electrochem. Soc. 2003, 150, G488.(2) Adachi, M.; Murata, Y.; Okada, I.; Yoshikawa, S.J. Electrochem. Soc. 2003, 150, G488.
-
[3]
(3) Anpo, M.; Takeuchi, M. J. Catal. 2003, 216, 505. doi: 10.1016/S0021-9517(02)00104-5(3) Anpo, M.; Takeuchi, M. J. Catal. 2003, 216, 505. doi: 10.1016/S0021-9517(02)00104-5
-
[4]
(4) Grimes, C. A.; Ong, K. G.; Varghese, O. K.; Yang, X. P.; Mor,G.; Paulose, M.; Dickey, E. C.; Ruan, C. M.; Pishko, M. V.;Kendig, J.W.; Mason, A. J. Sensors 2003, 3, 69. doi: 10.3390/s30300069(4) Grimes, C. A.; Ong, K. G.; Varghese, O. K.; Yang, X. P.; Mor,G.; Paulose, M.; Dickey, E. C.; Ruan, C. M.; Pishko, M. V.;Kendig, J.W.; Mason, A. J. Sensors 2003, 3, 69. doi: 10.3390/s30300069
-
[5]
(5) Imai, H.; Matsuta, M.; Shimizu, K.; Hirashima, H.; Negishi, N.Solid State Ionics 2002, 151, 183. doi: 10.1016/S0167-2738(02)00708-7(5) Imai, H.; Matsuta, M.; Shimizu, K.; Hirashima, H.; Negishi, N.Solid State Ionics 2002, 151, 183. doi: 10.1016/S0167-2738(02)00708-7
-
[6]
(6) Kasuga, T.; Hiramatsu, M.; Hoson, A.; Sekino, T.; Niihara, K.Adv. Mater. 1999, 11, 1307. doi: 10.1002/(SICI)1521-4095(199910)11:15<1307:AID-ADMA1307>3.0.CO;2-H(6) Kasuga, T.; Hiramatsu, M.; Hoson, A.; Sekino, T.; Niihara, K.Adv. Mater. 1999, 11, 1307. doi: 10.1002/(SICI)1521-4095(199910)11:15<1307:AID-ADMA1307>3.0.CO;2-H
-
[7]
(7) Michailowski, A.; AlMawlawi, D.; Cheng, G. S.; Moskovits, M.Chem. Phys. Lett. 2001, 349, 1. doi: 10.1016/S0009-2614(01)01159-9(7) Michailowski, A.; AlMawlawi, D.; Cheng, G. S.; Moskovits, M.Chem. Phys. Lett. 2001, 349, 1. doi: 10.1016/S0009-2614(01)01159-9
-
[8]
(8) Mor, G. K.; Carvalho, M. A.; Varghese, O. K.; Pishko, M. V.;Grimes, C. A. J. Mater. Res. 2004, 19, 628. doi: 10.1557/jmr.2004.19.2.628(8) Mor, G. K.; Carvalho, M. A.; Varghese, O. K.; Pishko, M. V.;Grimes, C. A. J. Mater. Res. 2004, 19, 628. doi: 10.1557/jmr.2004.19.2.628
-
[9]
(9) Mor, G. K.; Shankar, K.; Paulose, M.; Varghese, O. K.; Grimes,C. A. Nano Lett. 2006, 6, 215. doi: 10.1021/nl052099j(9) Mor, G. K.; Shankar, K.; Paulose, M.; Varghese, O. K.; Grimes,C. A. Nano Lett. 2006, 6, 215. doi: 10.1021/nl052099j
-
[10]
(10) Varghese, O. K.; ng, D.W.; Paulose, M.; Ong, K. G.; Grimes,C. A. Sens. Actuators B 2003, 93, 338. doi: 10.1016/S0925-4005(03)00222-3(10) Varghese, O. K.; ng, D.W.; Paulose, M.; Ong, K. G.; Grimes,C. A. Sens. Actuators B 2003, 93, 338. doi: 10.1016/S0925-4005(03)00222-3
-
[11]
(11) Zhou, Y. K.; Cao, L.; Zhang, F. B.; He, B. L.; Li, H. L.J. Electrochem. Soc. 2003, 150, A1246.(11) Zhou, Y. K.; Cao, L.; Zhang, F. B.; He, B. L.; Li, H. L.J. Electrochem. Soc. 2003, 150, A1246.
-
[12]
(12) Hu, Y. F.; Jiang, G.; Meng, D. Q.; Kong, F. J. Acta Phys. -Chim. Sin. 2010, 26, 1664. [胡燕飞, 蒋刚, 蒙大桥, 孔凡杰. 物理化学学报, 2010, 26, 1664.] doi: 10.3866/PKU.WHXB20100607(12) Hu, Y. F.; Jiang, G.; Meng, D. Q.; Kong, F. J. Acta Phys. -Chim. Sin. 2010, 26, 1664. [胡燕飞, 蒋刚, 蒙大桥, 孔凡杰. 物理化学学报, 2010, 26, 1664.] doi: 10.3866/PKU.WHXB20100607
-
[13]
(13) Xu, L.; Tang, C. Q.; Huang, Z. B. Acta Phys. -Chim. Sin. 2010,26, 1401. [徐凌, 唐超群, 黄宗斌. 物理化学学报, 2010,26, 1401.] doi: 10.3866/PKU.WHXB20100526(13) Xu, L.; Tang, C. Q.; Huang, Z. B. Acta Phys. -Chim. Sin. 2010,26, 1401. [徐凌, 唐超群, 黄宗斌. 物理化学学报, 2010,26, 1401.] doi: 10.3866/PKU.WHXB20100526
-
[14]
(14) ng, J. J.; Lai, Y. K.; Lin, C. J. Electrochim Acta 2010, 55,4776. doi: 10.1016/j.electacta.2010.03.055(14) ng, J. J.; Lai, Y. K.; Lin, C. J. Electrochim Acta 2010, 55,4776. doi: 10.1016/j.electacta.2010.03.055
-
[15]
(15) Kasuga, T.; Hiramatsu, M.; Hoson, A.; Sekino, T.; Niihara, K.Langmuir 1998, 14, 3160. doi: 10.1021/la9713816(15) Kasuga, T.; Hiramatsu, M.; Hoson, A.; Sekino, T.; Niihara, K.Langmuir 1998, 14, 3160. doi: 10.1021/la9713816
-
[16]
(16) Lai, Y. K.; Sun, L.; Zuo, J.; Lin, C. J. Acta Phys. -Chim. Sin.2004, 20, 1063. [赖跃坤, 孙岚, 左娟, 林昌健. 物理化学学报, 2004, 20, 1063.] doi: 10.3866/PKU.WHXB20040901(16) Lai, Y. K.; Sun, L.; Zuo, J.; Lin, C. J. Acta Phys. -Chim. Sin.2004, 20, 1063. [赖跃坤, 孙岚, 左娟, 林昌健. 物理化学学报, 2004, 20, 1063.] doi: 10.3866/PKU.WHXB20040901
-
[17]
(17) Li, D.; Chen, H. C.; Li, J. H.; Zhou, B. X.; Cai,W. M. Acta Phys. -Chim. Sin. 2011, 27, 2153. [李迪, 陈红冲, 李金花,周保学, 蔡伟民. 物理化学学报, 2011, 27, 2153.] doi: 10.3866/PKU.WHXB20110910(17) Li, D.; Chen, H. C.; Li, J. H.; Zhou, B. X.; Cai,W. M. Acta Phys. -Chim. Sin. 2011, 27, 2153. [李迪, 陈红冲, 李金花,周保学, 蔡伟民. 物理化学学报, 2011, 27, 2153.] doi: 10.3866/PKU.WHXB20110910
-
[18]
(18) Li, J.; Yun, H.; Lin, C. J. Acta Phys. -Chim. Sin. 2007, 23, 1886.[李静, 云虹, 林昌健. 物理化学学报, 2007, 23, 1886.]doi: 10.3866/PKU.WHXB20071211(18) Li, J.; Yun, H.; Lin, C. J. Acta Phys. -Chim. Sin. 2007, 23, 1886.[李静, 云虹, 林昌健. 物理化学学报, 2007, 23, 1886.]doi: 10.3866/PKU.WHXB20071211
-
[19]
(19) Hoyer, P. Langmuir 1996, 12, 1411. doi: 10.1021/la9507803(19) Hoyer, P. Langmuir 1996, 12, 1411. doi: 10.1021/la9507803
-
[20]
(20) He, T.; Zhao, M.W.; Zhang, X. J.; Zhang, H. Y.;Wang, Z. H.;Xi, Z. X.; Liu, X. D.; Yan, S. S.; Xia, Y. Y.; Mei, L. M. J. Phys. Chem. C 2009, 113, 13610. doi: 10.1021/jp9032244(20) He, T.; Zhao, M.W.; Zhang, X. J.; Zhang, H. Y.;Wang, Z. H.;Xi, Z. X.; Liu, X. D.; Yan, S. S.; Xia, Y. Y.; Mei, L. M. J. Phys. Chem. C 2009, 113, 13610. doi: 10.1021/jp9032244
-
[21]
(21) Meng, Q. Q.;Wang, J. G.; Xie, Q.; Li, X. N. J. Phys. Chem. C2010, 114, 9251. doi: 10.1021/jp100389f(21) Meng, Q. Q.;Wang, J. G.; Xie, Q.; Li, X. N. J. Phys. Chem. C2010, 114, 9251. doi: 10.1021/jp100389f
-
[22]
(22) Ivanovskaya, V. V.; Enyashin, A. N.; Ivanovskii, A. L.Mendeleev Commun. 2003, 5.(22) Ivanovskaya, V. V.; Enyashin, A. N.; Ivanovskii, A. L.Mendeleev Commun. 2003, 5.
-
[23]
(23) Enyashin, A. N.; Seifert, G. Phys. Status Solidi B 2005, 242,1361. doi: 10.1002/pssb.200540026(23) Enyashin, A. N.; Seifert, G. Phys. Status Solidi B 2005, 242,1361. doi: 10.1002/pssb.200540026
-
[24]
(24) Wang, J. G.;Wang, J.; Ma, L.; Zhao, J. J.;Wang, B. L.;Wang,G. H. Physica E 2009, 41, 838. doi: 10.1016/j.physe.2008.12.018(24) Wang, J. G.;Wang, J.; Ma, L.; Zhao, J. J.;Wang, B. L.;Wang,G. H. Physica E 2009, 41, 838. doi: 10.1016/j.physe.2008.12.018
-
[25]
(25) Liu, Z. J.; Zhang, Q.; Qin, L. C. Solid State Commun. 2007,141, 168. doi: 10.1016/j.ssc.2006.09.055(25) Liu, Z. J.; Zhang, Q.; Qin, L. C. Solid State Commun. 2007,141, 168. doi: 10.1016/j.ssc.2006.09.055
-
[26]
(26) Bandura, A. V.; Evarestov, R. A. Surf. Sci. 2009, 603, L117.(26) Bandura, A. V.; Evarestov, R. A. Surf. Sci. 2009, 603, L117.
-
[27]
(27) Hossain, F. M.; Evteev, A. V.; Belova, I. V.; Nowotny, J.; Murch,G. E. Comput. Mater. Sci. 2010, 48, 854. doi: 10.1016/j.commatsci.2010.04.007(27) Hossain, F. M.; Evteev, A. V.; Belova, I. V.; Nowotny, J.; Murch,G. E. Comput. Mater. Sci. 2010, 48, 854. doi: 10.1016/j.commatsci.2010.04.007
-
[28]
(28) Evarestov, R. A.; Zhukovskii, Y. F.; Bandura, A. V.; Piskunov, S.J. Phys. Chem. C 2010, 114, 21061. doi: 10.1021/jp106929f(28) Evarestov, R. A.; Zhukovskii, Y. F.; Bandura, A. V.; Piskunov, S.J. Phys. Chem. C 2010, 114, 21061. doi: 10.1021/jp106929f
-
[29]
(29) Evarestov, R. A.; Zhukovskii, Y. F.; Bandura, A. V.; Piskunov,S.; Losev, M. V. J. Phys. Chem. C 2011, 115, 14067. doi: 10.1021/jp2027737(29) Evarestov, R. A.; Zhukovskii, Y. F.; Bandura, A. V.; Piskunov,S.; Losev, M. V. J. Phys. Chem. C 2011, 115, 14067. doi: 10.1021/jp2027737
-
[30]
(30) Evarestov, R. A.; Zhukovskii, Y. F.; Bandura, A. V.; Piskunov, S.Cent. Eur. J. Phys. 2011, 9, 492. doi: 10.2478/s11534-010-0095-8(30) Evarestov, R. A.; Zhukovskii, Y. F.; Bandura, A. V.; Piskunov, S.Cent. Eur. J. Phys. 2011, 9, 492. doi: 10.2478/s11534-010-0095-8
-
[31]
(31) Ferrari, A. M.; Szieberth, D.; Noel, Y. J. Mater. Chem. 2011, 21,4568. doi: 10.1039/c0jm03257c(31) Ferrari, A. M.; Szieberth, D.; Noel, Y. J. Mater. Chem. 2011, 21,4568. doi: 10.1039/c0jm03257c
-
[32]
(32) Zheng, G.;Witek, H. A.; Bobadova-Parvanova, P.; Irle, S.;Musaev, D. G.; Prabhakar, R.; Morokuma, K.; Lundberg, M.;Elstner, M.; Köhler, C.; Frauenheim, T. J. Chem. Theory Comput. 2007, 3, 1349. doi: 10.1021/ct600312f(32) Zheng, G.;Witek, H. A.; Bobadova-Parvanova, P.; Irle, S.;Musaev, D. G.; Prabhakar, R.; Morokuma, K.; Lundberg, M.;Elstner, M.; Köhler, C.; Frauenheim, T. J. Chem. Theory Comput. 2007, 3, 1349. doi: 10.1021/ct600312f
-
[33]
(33) Burdett, J. K.; Hughbanks, T.; Miller, G. J.; Richardson, J.W.;Smith, J. V. J. Am. Chem. Soc. 1987, 109, 3639. doi: 10.1021/ja00246a021
(33) Burdett, J. K.; Hughbanks, T.; Miller, G. J.; Richardson, J.W.;Smith, J. V. J. Am. Chem. Soc. 1987, 109, 3639. doi: 10.1021/ja00246a021
-
[1]
-

计量
- PDF下载量: 741
- 文章访问数: 2867
- HTML全文浏览量: 81