A review of methods for the accurate determination of the chiral indices of carbon nanotubes from electron diffraction patterns

Carbon

Volumn 49, Issue 15, 2011, Pages 4961-4971

  Allen, C S ^a   Zhang, C ^b   Burnell, G ^a   Brown, A P ^a   Robertson, J ^b   Hickey, B J ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AIR NAVIGATION; CARBON NANOTUBES; CHIRALITY; DIFFRACTION PATTERNS; ELECTRON DIFFRACTION; ELECTRONIC PROPERTIES; ELECTRONS; INTERFEROMETRY; NANOTUBES; SINGLE-WALLED CARBON NANOTUBES (SWCN); TRANSMISSION ELECTRON MICROSCOPY; YARN;

ANALYTICAL APPROACH; CHIRAL INDEX; CHIRALITY ASSIGNMENT; DIFFRACTION STUDIES; DIFFRACTION TECHNIQUES; EXPERIMENTAL INVESTIGATIONS; EXPERIMENTAL UNCERTAINTY; NANOTUBE CHIRALITIES;

MULTIWALLED CARBON NANOTUBES (MWCN);

EID: 80053598493     PISSN: 00086223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.carbon.2011.06.100     Document Type: Review

References (60)

1. Saito R, Fujita M, Dresselhaus G, Dresselhaus MS. Electronic structure of chiral graphene tubules. Appl Phys Lett 1992; 60 (18): 2204-6.
2. Jorio A, Saito R, Hafner JH, Lieber CM, Hunter M, McClure T, et al. Structural (n,m) determination of isolated single-wall carbon nanotubes by resonant Raman scattering. Phys Rev Lett 2001; 86 (6): 1118-21. (Pubitemid 32169241)
3. Piscanec S, Lazzeri M, Robertson J, Ferrari AC, Mauri F. Optical phonons in carbon nanotubes: Kohn anomalies, Peierls distortions, and dynamic effects. Phys Rev B 2007; 75 (3): 035427.
4. Meyer JC, Paillet M, Michel T, Moreac A, Neumann A, Duesberg DS, et al. Raman modes of index-identified freestanding single-walled carbon nanotubes. Phys Rev Lett 2005; 95 (21): 21741.
5. Sfelr MY, Beetz T, Wang F, Huang L, Huang XMH, Huang M, et al. Optical spectroscopy of individual single-walled carbon nanotubes of defined chiral structure. Science 2006; 312: 554-6.
6. Débarre A, Kobylko M, Bonnot AM, Richard A, Popov VN, Henrard L, et al. Electronic and mechanical coupling of carbon nanotubes: a tunable resonant Raman study of systems with known structures. Phys Rev Lett 2008; 101 (19): 197403.
7. Michel T, Paillet M, Nakabayashi D, Picher M, Jourdain V, Meyer JC, et al. Indexing of individual single-walled carbon nanotubes from Raman spectroscopy. Phys Rev B 2009; 80 (24): 245416.
8. Liu K, Wang W, Wu M, Xiao F, Hong X, Aloni S, et al. Intrinsic radial breathing oscillation in suspended single-walled carbon nanotubes. Phys Rev B 2011; 83 (11): 113404.
9. Wildoer J, Venema L, Rinzler A, Smalley R, Dekker C. Electronic structure of atomically resolved carbon nanotubes. Nature 1998; 391: 59-62. (Pubitemid 28079212)
10. Odom TW, Huang J-L, Kim P, Lieber CM. Atomic structure and electronic properties of single-wall carbon nanotubes. Nature 1998; 391: 62-4. (Pubitemid 28079213)
11. Iijima S. Helical microtubules of graphitic carbon. Nature 1991; 354: 56-8. (Pubitemid 21896780)
12. Li M, Cowley JM. Structures of the helical carbon nanotubes. Carbon 1994; 32 (3): 393-403.
13. Qin L. Electron diffraction from cylindrical nanotubes. J Mater Res 1994; 9 (9): 2450-6.
14. Qin L-C, Iijima S, Kataura H, Maniwa Y, Suzuki S, Achiba Y. Helicity and packing of single-walled carbon nanotubes studied by electron nanodiffraction. Chem Phys Lett 1997; 268 (1-2): 101-6. (Pubitemid 127168018)
15. Bernaerts D, Zettl A, Chopra NG, Thess A, Smalley RE. Electron diffraction study of single-wall carbon nanotubes. Solid State Commun 1998; 105 (3): 145-9. (Pubitemid 128390103)
16. Iijima S, Ichihashi T. Single-shell carbon nanotubes of 1-nm diameter. Nature 1993; 363: 603-6.
17. Zhang XB, Zhang XF, Amelinckx S, Van Tendeloo G, Van Landuyt J. The reciprocal space of carbon tubes: a detailed interpretation of the electron diffraction effects. Ultramicroscopy 1994; 54: 237-49.
18. Cowley JM, Nikolaev P, Thess A, Smalley RE. Electron nanodiffraction study of carbon single-walled nanotube ropes. Chem Phys Lett 1997; 265 (3-5): 379-84. (Pubitemid 127163731)
19. Gao M, Zuo JM, Twesten RD, Petrov I, Nagahara LA, Zhang R. Structure determination of individual single-wall carbon nanotubes by nanoarea electron diffraction. Appl Phys Lett 2003; 82 (16): 2703-5.
20. Liu Z, Zhang Q, Qin L. Accurate determination of atomic structure of multiwalled carbon nanotubes by nondestructive nanobeam electron diffraction. Appl Phys Lett 2005; 86 (29): 191903.
21. Qin L. Determination of the chiral indices (n,m) of carbon nanotubes by electron diffraction. Phys Chem Chem Phys 2007; 9: 31-48.
22. Jiang H, Nasibulin AG, Brown DP, Kauppinen EI. Unambiguous atomic structural determination of singlewalled carbon nanotubes by electron diffraction. Carbon 2007; 45 (3): 662-7. (Pubitemid 46148820)
23. Liu Z, Qin L. A direct method to determine the chiral indices of carbon nanotubes. Chem Phys Lett 2005; 408: 75-9. (Pubitemid 40684023)
24. Jiang H, Brown DP, Nasibulin AG, Kauppinen EI. Robust Bessel-function based method for determination of the (m,n) indices of single-walled carbon nanotubes by electron diffraction. Phys Rev B 2006; 74: 035427.
25. Zuo J-M, Kim T, Celik-Aktas A, Tao J. Quantitative structural analysis of individual nanotubes by electron diffraction. Z Kristallogr 2007; 222 (11): 625-33.
26. Kociak M, Suenaga K, Hirahara K, Saito Y, Nakahira T, Iijima S. Linking chiral indices and transport properties of doublewalled carbon nanotubes. Phys Rev Lett 2002; 89 (15): 155501.
27. Cao J, Wang Q, Rolandi M, Dai H. Aharonov-Bohm interference and beating in single-walled carbon-nanotube interferometers. Phys Rev Lett 2004; 93 (21): 216803.
28. Liu K, Wang W, Xu Z, Bai X, Wang E, Yao Y, et al. Chiralitydependent transport properties of double-walled nanotubes measured in situ on their field-effect transistors. J Am Chem Soc 2009; 131 (1): 62-3.
29. Kim T, Kim G, Choi WI, Kwon Y-K, Zuo J-M. Electrical transport in small bundles of single-walled carbon nanotubes: intertube interaction and effects of tube deformation. Appl Phys Lett 2010; 96 (17): 173107.
30. Allen CS, Elkin MD, Zhang C, Hofmann S, Burnell G, Robertson J, et al. Device fabrication with precisely placed carbon nanotubes of known chiral vector. J Phys Conf Ser 2010; 241 (1): 012082.
31. Hirahara K, Inose K, Nakayama Y. Determination of the chiralities of isolated carbon nanotubes during superplastic elongation process. Appl Phys Lett 2010; 97 (5): 051905.
32. Hashimoto A, Suenaga K, Gloter A, Urita K, Iijima S. Direct evidence for atomic defects in graphene layers. Nature 2004; 430: 870-3. (Pubitemid 39119210)
33. Suenaga K, Wakabayashi H, Koshino M, Sato Y, Urita K, Iijima S. Imaging active topological defects in carbon nanotubes. Nat Nanotechnol 2007; 2: 358-60. (Pubitemid 46878161)
34. Hirahara K, Saitoh K, Yamasaki J, Tanaka N. Direct observation of six-membered rings in the upper and lower walls of a single-wall carbon nanotube by spherical aberration-corrected HRTEM. Nano Lett 2006; 6 (8): 1778-83. (Pubitemid 44327547)
35. Reich S, Thomsen C, Maultzch J. Carbon nanotubes basic concepts and physical properties. Wiley; 2004. p. 4.
36. Lucas AA, Bruyninckx V, Lambin P. Calculating the diffraction of electrons or X-rays by carbon nanotubes. Europhys Lett 1996; 35 (5): 335-60.
37. Lambin P, Lucas AA. Quantitative theory of diffraction by carbon nanotubes. Phys Rev B 1997; 56 (7): 3571-4.
38. Lucas AA, Lambin P. Diffraction by DNA, carbon nanotubes and other helical nanostructures. Rep Prog Phys 2005; 68 (5): 1181-249. (Pubitemid 43073144)
39. Qin L, Ichihashi T, Iijima S. On the measurement of helicity of carbon nanotubes. Ultramicroscopy 1997; 67 (1-4): 181-9. (Pubitemid 27288099)
40. Qin L. Measuring the true helicity of carbon nanotubes. Chem Phys Lett 1998; 297: 23-8. (Pubitemid 128340732)
41. Amelinckx S, Lucas A, Lambin P. Electron diffraction and microscopy of nanotubes. Rep Prog Phys 1999; 62: 1471-524.
42. Hirahara K, Kociak M, Bandow S, Nakahira T, Itoh K, Saito Y, et al. Chirality correlation in double-wall carbon nanotubes as studied by electron diffraction. Phys Rev B 2006; 73 (19): 195420.
43. Gao M, Zuo JM, Zhang R, Nagahara LA. Structure determinations of double-wall carbon nanotubes grown by catalytic chemical vapor deposition. J Mater Sci 2006; 41: 4382-8. (Pubitemid 44221327)
44. Meyer JC, Paillet M, Duesberg GS, Roth S. Electron diffraction analysis of individual single-walled carbon nanotubes. Ultramicroscopy 2006; 106 (3): 176-90. (Pubitemid 41820575)
45. Smith BW, Luzzi DE. Electron irradiation effects in single wall carbon nanotubes. J Appl Phys 2001; 90 (7): 3509-15. (Pubitemid 33597007)
46. Qin C, Peng LM. Measurement accuracy of the diameter of a carbon nanotube from TEM images. Phys Rev B 2002; 65 (15): 155431.
47. Williams DB, Carter CB. Transmission electron microscopy, vol. 2. New York: Plenum Press; 1996. p. 196.
48. Kociak M, Hirahara K, Suenaga K, Iijima S. How accurate can the determination of chiral indices of carbon nanotubes be? Eur Phys J B 2003; 32: 457-69.
49. Wilson NR, Pandey PA, Beanland R, Young RJ, Kinloch IA, Gong L, et al. Graphene oxide: structural analysis and application as a highly transparent support for electron microscopy. ACS Nano 2009; 3 (9): 2547-56.
50. Hirahara K, Bandow S, Kataura H, Kociak M, Iijima S. Stretching of carbon-carbon bonds in a 0. 7 nm diameter carbon nanotube studied by electron diffraction. Phys Rev B 2004; 70 (20): 205422.
51. Wen Q, Qian W, Nie J, Cao A, Ning G, Wang Y, et al. 100mm long, semiconducting triple-walled carbon nanotubes. Adv Mater 2010; 22 (16): 1867-71.
52. Zhang J, Zuo J. Structure and diameter-dependent bond lengths of a multi-walled carbon nanotube revealed by electron diffraction. Carbon 2009; 47 (15): 3515-28.
53. Colomer J-F, Henrard L, Launois P, Van Tendeloo G, Lucas AA, Lambin P. Interpretation of electron diffraction from carbon nanotube bundles presenting precise helicity. Phys Rev B 2004; 70 (7): 075408.
54. Jiang H, Brown DP, Nikolaev P, Nasibulin AG, Kauppinen EI. Determination of helicities in unidirectional assemblies of graphitic or graphitic like tubular structures. Appl Phys Lett 2008; 93 (14): 141903.
55. Liu Z, Qin L. Electron diffraction from elliptical nanotubes. Chem Phys Lett 2005; 406: 106-10. (Pubitemid 40454451)
56. Liu Z, Qin L. Symmetry of electron diffraction from singlewalled carbon nanotubes. Chem Phys Lett 2004; 400 (4- 6): 430-5.
57. Jiang YY, Zhou W, Kim T, Huang Y, Zuo JM. Measurement of radial deformation of single-wall carbon nanotubes induced by intertube van der waals forces. Phys Rev B 2008; 77 (15): 153405.
58. Liu Z, Qin L. A practical approach to determine the handedness of chiral carbon nanotubes by electron diffraction. Chem Phys Lett 2005; 405: 265-9. (Pubitemid 40431649)
59. Franklin NR, Wang Q, Tombler TW, Javey A, Shim M, Dai H. Integration of suspended carbon nanotube arrays into electronic devices and electromechanical systems. Appl Phys Lett 2002; 81 (5): 913-5.
60. Meyer J-C, Paillet M, Roth S. Single-molecule torsional pendulum. Science 2005; 309 (5740): 1539-41.