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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.
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Keywords:
- single walled carbon nanotubes /
- radial breathing modes /
- resonant Raman scattering /
- electronic transition energy
[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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[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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