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利用径向呼吸模及其倍频模的共振特性精确测定单壁碳纳米管的电子跃迁能量

张俊 谭平恒 赵伟杰

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利用径向呼吸模及其倍频模的共振特性精确测定单壁碳纳米管的电子跃迁能量

张俊, 谭平恒, 赵伟杰

Accurate determination of electronic transition energy of carbon nanotubes from the resonant behavior of radial breathing modes and their overtones

Zhang Jun, Tan Ping-Heng, Zhao Wei-Jie
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  • 提出一个根据拉曼基频模及其倍频模的斯托克斯和反斯托克斯拉曼成分的不同共振行为来探测样品与激光共振的系统能级的方法.此方法被应用到不均匀单壁碳纳米管束样品中某一径向呼吸模频率为219波数的金属型碳纳米管.通过分析呼吸模及其倍频模和切向模的共振行为,获得了该碳纳米管的电子跃迁能量,并获得纳米管C-C最近邻重叠积分因子为2.80 eV.此数值可以很好的解释单壁碳纳米管径向呼吸模的共振行为.
    The resonant Raman behavior of the radial breathing modes are very useful to analyze the electronic property of carbon nanotubes. We investigated the resonant behaviors of Stokes and anti-Stokes radial breathing mode and its overtone of a metallic nanotube, and show how to accurately determine the electronic transition energy of carbon nanotubes from radial breathing modes and their overtones. Based on the present results, the previously reported resonant Raman behavior of the radial breathing modes of SWNT bundles can be interpreted very well.
    • 基金项目: 国家自然科学基金(批准号:10404029)资助的课题.
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    Saito R, Fujita M, Dresselhaus G, Dresselhaus M S 1992 Appl. Phys. Lett. 60 2204

    [3]

    Wang F, Dukovic G, Brus L E, Heinz T F 2005 Science 308 838

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    Tan P H, Rozhin A G, Hasan T, Hu P, Scardaci V, Milne W I, Ferrari A C 2007 Phys. Rev. Lett. 99 137402

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    Rao A M, Richter E, Bandow S J, Chase B, Eklund P C, Williams K A, Fang S, Subbaswamy K R, Menon M, Thess A, Smalley R E, Dresselhaus G, Dresselhaus M S 1997 Science 275 187

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    Charlier J C, Lambin P 1998 Phys. Rev. B 57 R15037

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    Mintmire J W, White C T 1995 Carbon 33 893

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    Jishi R A, Inomata D, Nakao K, Dresselhaus M S, Dresselhaus G 1994 J. Phys. Soc. Jpn. 63 2252

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    Wilder J W G, Venema L C, Rinzler A G, Smalley R E, Dekker C 1998 Nature 391 59

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    Odom T W, Huang J L, Kim P, Leiber C M 1998 Nature 391 62

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    Pimenta M A, Marucci A, Empedocles S A, Bawendi M G, Hanlon E B, Rao A M, Eklund P C, Smalley R E, Dresselhaus G, Dresselhaus M S 1998 Phys. Rev. B 58 R16016

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    Rafailov P M, Jantoljak H, Thomsen C 2000 Phys. Rev. B 61 16719

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    Xiao Y, Yan X H, Cao J X, Ding J W 2003 Acta. Phys. Sin. 52 1720 (in Chinese)[肖 杨、颜晓红、曹觉先、丁建文 2003 物理学报 52 1720]

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    Wu Y Z, Yu P, Wang Y F, Jing Q H, Ding D T, Lan G X 2005 Acta. Phys. Sin. 54 5262 (in Chinese)[吴延昭、于 平、王玉芳、金庆华、丁大同、蓝国祥 2005 物理学报 54 5262]

    [17]

    Kuzmany H, Burger B, Hulman M, Kurti J 1998 Eu-rophys. Lett. 44 518

    [18]

    Brown S D M, Corio P, Marucci A, Dresselhaus M S, Pimenta M A, Kneipp K 2000 Phys. Rev. B 61 R5137

    [19]

    Kneipp K, Kneipp H, Corio P, Brown S D M, Shafer K, Motz J, Perelman L T, Hanlon E B, Marucci A, Dresselhaus G, Dresselhaus M S 2000 Phys.Rev.Lett. 84 3470

    [20]

    Milnera M, Kürti J, Hulman M, Kuzmany H 2000 Phys.Rev.Lett. 84 1324

    [21]

    Tan P H, Tang Y, Hu C Y, Li F, Wei Y L, Cheng H M 2000 Phys. Rev. B 62 5186

    [22]

    Kürti J, Kresse G, Kuzmany H 1998 Phys. Rev. B 58 R8869

    [23]

    Henrard L, Hernandez E, Bernier P, Rubio A 1999 Phys. Rev. B 60 R8521

    [24]

    Maultzsch J, Telg H, Reich S, Thomsen C 2005 Phys. Rev. B 72 205438

    [25]

    Son H, Reina A, Samsonidze G G, Saito R, Jorio A, Dresselhaus M S, Kong J 2006 Phys. Rev. B 74 073406

    [26]

    Telg H, Maultzsch J, Reich S, Thomsen C 2006 Phys. Rev. B 74 115415

    [27]

    Filho A G S, Chou S G, Samsonidze G G, Dresselhaus G, Dresselhaus M S, Lei A, Liu J, Swan A K, Unlu M S, Goldberg B B, Jorio A, Gruneis A, Saito R 2004 Phys. Rev. B 69 115428

    [28]

    Duesberg G S, Blau W J, Byrne H J, Blau W J, Byrne H J, Muster J, Burghard M, Roth S 1999 Chem. Phys. Lett. 310 8

    [29]

    Thess A, Lee A, Nikolaev P, Dai H J, Petit P, Robert J, Xu C H, Lee Y H, Kim S G, Rinzler A G, Colbert D T, Scuseria G E, Tomanek D, Fischer J E, Smalley R E 1996 Science 273 483

    [30]

    Tan P H, Deng Y M, Zhao Q 1998 Phys. Rev. B 58 5435

    [31]

    Thomsen C, Reich S 2000 Phys.Rev.Lett. 85 5214

    [32]

    Tan P H, Hu C Y, Dong J, Shen W C, Zhang B F 2001 Phys. Rev. B 64 214301

    [33]

    Zhang S L, Hu X H, Li H D, Shi Z J, Yue K T, Zi J, Gu Z N, Wu X H, Lian Z L, Zhan Y, Huang F M, Zhou L X, ZHang Y G, Iijima S 2002 Phys. Rev. B 66 035413

    [34]

    Saito R, Jorio A, Filho A G S, Dresselhaus G, Dresselhaus M S, Pimenta M A 2002 Phys.Rev.Lett. 88 027401

    [35]

    Jorio A, Dresselhaus G, Dresselhaus M S, Souza M, Dantas M S S, Pimenta M A, Rao A M, Saito R, Liu C, Cheng H M 2000 Phys. Rev. Lett. 85 2617

    [36]

    Saito R, Dresselhaus M S, Dresselhaus G 1998 Physical Properties of Carbon Nanotubes (London: Imperial College Press)

    [37]

    Reich R, Thomsen C 2000 Phys. Rev. B 62 4273

  • [1]

    Dresselhaus M S, Dresselhaus G, Eklund P C, 1996 Science of Fullerenes and Carbon Nanotubes (San Diego: Academic)

    [2]

    Saito R, Fujita M, Dresselhaus G, Dresselhaus M S 1992 Appl. Phys. Lett. 60 2204

    [3]

    Wang F, Dukovic G, Brus L E, Heinz T F 2005 Science 308 838

    [4]

    Tan P H, Rozhin A G, Hasan T, Hu P, Scardaci V, Milne W I, Ferrari A C 2007 Phys. Rev. Lett. 99 137402

    [5]

    Rao A M, Richter E, Bandow S J, Chase B, Eklund P C, Williams K A, Fang S, Subbaswamy K R, Menon M, Thess A, Smalley R E, Dresselhaus G, Dresselhaus M S 1997 Science 275 187

    [6]

    Charlier J C, Lambin P 1998 Phys. Rev. B 57 R15037

    [7]

    White C T, Mintmire J W 1998 Nature 394 29

    [8]

    Mintmire J W, White C T 1995 Carbon 33 893

    [9]

    Jishi R A, Inomata D, Nakao K, Dresselhaus M S, Dresselhaus G 1994 J. Phys. Soc. Jpn. 63 2252

    [10]

    Wilder J W G, Venema L C, Rinzler A G, Smalley R E, Dekker C 1998 Nature 391 59

    [11]

    Odom T W, Huang J L, Kim P, Leiber C M 1998 Nature 391 62

    [12]

    Pimenta M A, Marucci A, Empedocles S A, Bawendi M G, Hanlon E B, Rao A M, Eklund P C, Smalley R E, Dresselhaus G, Dresselhaus M S 1998 Phys. Rev. B 58 R16016

    [13]

    Rafailov P M, Jantoljak H, Thomsen C 2000 Phys. Rev. B 61 16719

    [14]

    Kataura K, Kumazawa Y, Maniwa Y, Umezu I, Suzuki S, Ohtsuka Y, Achiba Y 1999 Synth. Met. 103 2555

    [15]

    Xiao Y, Yan X H, Cao J X, Ding J W 2003 Acta. Phys. Sin. 52 1720 (in Chinese)[肖 杨、颜晓红、曹觉先、丁建文 2003 物理学报 52 1720]

    [16]

    Wu Y Z, Yu P, Wang Y F, Jing Q H, Ding D T, Lan G X 2005 Acta. Phys. Sin. 54 5262 (in Chinese)[吴延昭、于 平、王玉芳、金庆华、丁大同、蓝国祥 2005 物理学报 54 5262]

    [17]

    Kuzmany H, Burger B, Hulman M, Kurti J 1998 Eu-rophys. Lett. 44 518

    [18]

    Brown S D M, Corio P, Marucci A, Dresselhaus M S, Pimenta M A, Kneipp K 2000 Phys. Rev. B 61 R5137

    [19]

    Kneipp K, Kneipp H, Corio P, Brown S D M, Shafer K, Motz J, Perelman L T, Hanlon E B, Marucci A, Dresselhaus G, Dresselhaus M S 2000 Phys.Rev.Lett. 84 3470

    [20]

    Milnera M, Kürti J, Hulman M, Kuzmany H 2000 Phys.Rev.Lett. 84 1324

    [21]

    Tan P H, Tang Y, Hu C Y, Li F, Wei Y L, Cheng H M 2000 Phys. Rev. B 62 5186

    [22]

    Kürti J, Kresse G, Kuzmany H 1998 Phys. Rev. B 58 R8869

    [23]

    Henrard L, Hernandez E, Bernier P, Rubio A 1999 Phys. Rev. B 60 R8521

    [24]

    Maultzsch J, Telg H, Reich S, Thomsen C 2005 Phys. Rev. B 72 205438

    [25]

    Son H, Reina A, Samsonidze G G, Saito R, Jorio A, Dresselhaus M S, Kong J 2006 Phys. Rev. B 74 073406

    [26]

    Telg H, Maultzsch J, Reich S, Thomsen C 2006 Phys. Rev. B 74 115415

    [27]

    Filho A G S, Chou S G, Samsonidze G G, Dresselhaus G, Dresselhaus M S, Lei A, Liu J, Swan A K, Unlu M S, Goldberg B B, Jorio A, Gruneis A, Saito R 2004 Phys. Rev. B 69 115428

    [28]

    Duesberg G S, Blau W J, Byrne H J, Blau W J, Byrne H J, Muster J, Burghard M, Roth S 1999 Chem. Phys. Lett. 310 8

    [29]

    Thess A, Lee A, Nikolaev P, Dai H J, Petit P, Robert J, Xu C H, Lee Y H, Kim S G, Rinzler A G, Colbert D T, Scuseria G E, Tomanek D, Fischer J E, Smalley R E 1996 Science 273 483

    [30]

    Tan P H, Deng Y M, Zhao Q 1998 Phys. Rev. B 58 5435

    [31]

    Thomsen C, Reich S 2000 Phys.Rev.Lett. 85 5214

    [32]

    Tan P H, Hu C Y, Dong J, Shen W C, Zhang B F 2001 Phys. Rev. B 64 214301

    [33]

    Zhang S L, Hu X H, Li H D, Shi Z J, Yue K T, Zi J, Gu Z N, Wu X H, Lian Z L, Zhan Y, Huang F M, Zhou L X, ZHang Y G, Iijima S 2002 Phys. Rev. B 66 035413

    [34]

    Saito R, Jorio A, Filho A G S, Dresselhaus G, Dresselhaus M S, Pimenta M A 2002 Phys.Rev.Lett. 88 027401

    [35]

    Jorio A, Dresselhaus G, Dresselhaus M S, Souza M, Dantas M S S, Pimenta M A, Rao A M, Saito R, Liu C, Cheng H M 2000 Phys. Rev. Lett. 85 2617

    [36]

    Saito R, Dresselhaus M S, Dresselhaus G 1998 Physical Properties of Carbon Nanotubes (London: Imperial College Press)

    [37]

    Reich R, Thomsen C 2000 Phys. Rev. B 62 4273

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出版历程
  • 收稿日期:  2010-02-05
  • 修回日期:  2010-03-16
  • 刊出日期:  2010-11-15

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