Electron diffraction from carbon nanotubes

Reports on Progress in Physics

Volumn 69, Issue 10, 2006, Pages 2761-2821

  Qin, Lu Chang ^a  

^a UNIVERSITY OF NORTH CAROLINA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749054418     PISSN: 00344885     EISSN: None     Source Type: Journal    
DOI: 10.1088/0034-4885/69/10/R02     Document Type: Article

References (176)

1. Bragg W H and Bragg W L 1913 The structure of the diamond Nature 91 557
2. Bragg W H and Bragg W L 1913 The structure of the diamond Proc. R. Soc. (Lond.) A 89 277
3. Bernal J D 1924 The structure of graphite Proc. R. Soc. (Lond.) A 106 749
4. Iijima S 1991 Helical microtubules of graphitic carbon Nature 354 56
5. Ando Y and Ohkochi M 1982 Ultrafine power of β-SiC by arc discharge J. Cryst. Growth 60 147
6. 60: Buckminsterfullerene Nature 318 162
7. 60: a new form of carbon Nature 347 354
8. Iijima S and Ichihashi T 1993 Single-shell carbon nanotubes of 1 nm diameter Nature 363 603
9. Bethune D S, Kiang C -H, de Vries M S, Gorman G, Savoy R, Vazquez J and Beyers R 1993 Cobalt-catalysed growth of carbon nanotubes with single-atomic-walls Nature 363 605
10. Ebbesen T W and Ajayan P M 1992 Large-scale synthesis of carbon nanotubes Nature 358 220
11. Journet C, Maser W K, Bernier P, Loiseau A, Lamy de la Chapelle M, Lefrant S, Deniards P, Lee R and Fischer J E 1997 Large-scale production of single-walled carbon nanotubes by the electric-arc technique Nature 388 756
12. Wang X K, Lin X W, Dravid V P, Ketterson J B and Chang R P H 1995 Carbon nanotubes synthesized in a hydrogen arc-discharge in hydrogen Appl. Phys. Lett. 66 2430
13. Zhao X, Ando Y, Ohkohchi M, Wang M, Iijima S and Ichihashi T 1997 Preparation of high-grade carbon nanotubes by hydrogen arc-discharge Carbon 35 775
14. Guo T, Nikolaev P, Thess A, Colbert D T and Smalley R E 1995 Catalytic growth of single-shell nanotubes by laser evaporation Chem. Phys. Lett. 243 49
15. Thess A, Lee R, Nikolaev P, Dai H J, Petit P, Robert J, Xu C H, Lee Y H, Kim S G, Rinzlev A G, Colbert D T, Scuseria G E, Tomanek D, Fischer J E and Smalley R E 1996 Crystalline ropes of metallic carbon nanotubes Science 273 483
16. Qin L -C and Iijima S 1997 Structure and formation of raft-like bundles of single-walled helical carbon nanotubes produced by laser evaporation Chem. Phys. Lett. 269 65
17. Gibson J A E 1992 Early nanotubes? Nature 359 369
18. Bacon R 1960 Growth, structure and properties of graphite whiskers J. Appl. Phys. 31 283
19. Oberlin A, Endo M and Koyama T 1976 Filamentous growth of carbon through benzene decomposition J. Cryst. Growth 32 335
20. Baker R T K and Harris P S 1978 The formation of filamentous carbon Chem. Phys. Carbon 14 83
21. Endo M 1988 Grow carbon-fibers in the vapor phase Chemtechnology 18 568
22. Endo M, Takeuchi K, Igarashi S, Kobori K, Shiraishi M and Kroto H W 1993 The production and structure of pyrolytic carbon nanotubes (PCNTs) J. Phys. Chem. Solids 54 1841
23. Amelinckx S, Zhang X B, Bernaets D, Zhang X F, Ivanov V and Nagy J B 1994 A formation-mechanism for catalytically grown helix shaped graphite nanotubes Science 265 635
24. Dai H, Rinzler A G, Nikolaev P, Thess A, Colbert D T and Smalley R E 1996 Chem. Phys. Lett. 260 471
25. Li W Z, Xie S S, Qian L X, Chang B H, Zou B S, Zhou W Y, Zhao R A and Wang G 1996 Large-scale synthesis of aligned carbon nanotubes Science 274 1701
26. Qin L-C 1997 CVD synthesis of carbon nanotubes J. Mater. Sci. Lett. 16 457
27. Qin L-C and Iijima S 1997 Fibrilliform growth of carbon nanotubes Mater. Lett. 30 311
28. Ren Z F, Huang Z P, Wu J W, Wang J H, Bush P, Siegal M P and Provencio P N 1998 Synthesis of large arrays of well-aligned carbon nanotubes on glass Science 282 1105
29. Kong J, Soh H, Cassell A, Quate C F and Dai H 1998 Synthesis of individual single-walled carbon nanotubes on patterned silicon wafers Nature 295 878
30. Huang S, Cai X, Du C and Liu J 2003 Oriented long single walled carbon nanotubes on substrates from floating catalysts J. Phys. Chem. B 107 13251
31. Fu Q, Huang S and Liu J 2004 Chemical vapor depositions of single-walled carbon nanotubes catalyzed by uniform Fe2O3 nanoclusters synthesized using diblock copolymer micelles J. Phys. Chem. B 108 6124
32. Hata K, Futaba D N, Mizuno K, Namai T, Yumura M and Iijima S 2004 Water-assisted highly efficient synthesis of impurity-free single-walled carbon nanotubes Science 306 1362
33. Calderon-Moreno J M and Yoshimura M 2001 Hydrothermal processing of high-quality multiwall nanotubes from amorphous carbon J. Am. Chem. Soc. 123 741
34. Jiang Y, Wu Y, Zhang S Y, Xu C Y, Yu W C, Xie Y and Qian Y T 2000 A catalytic-assembly solvothermal route to multiwall carbon nanotubes at a moderate temperature J. Am. Chem. Soc. 122 12383
35. Vohs J K, Brege J J, Raymond J E, Brown A E, Williams G L and Fahlman B D 2004 Low-temperature growth of carbon nanotubes from the catalytic decomposition of carbon tetrachloride J. Am. Chem. Soc. 126 9936
36. Lu J Q, Kopley T E, Moll N, Roitman D, Chamberlin D, Fu Q, Liu J, Russell T P, Rider D A, Manner I and Winnik M A 2005 High-quality single-walled carbon nanotubes with small diameter, controlled density, and ordered locations using a polyferrocenylsilane block copolymer catalyst precursor Chem. Mater. 17 2227
37. Wang W, Poudel B, Wang D Z and Ren Z F 2005 Synthesis of multiwalled carbon nanotubes through a modified Wolff-Kishner reduction process J. Am. Chem. Soc. 127 18018
38. Qin L-C, Zhou D, Krauss A R and Gruen D M 1998 Growing carbon nanotubes by microwave plasma-ehanced chemical vapor deposition Appl. Phys. Lett. 72 3437
39. Bower C, Zhou O, Zhu W, Werder D J and Jin S 2000 Nucleation and gowth of carbon nanotubes by microwave plasma chemical vapor deposition Appl. Phys. Lett. 77 2767
40. Wang Y Y, Gupta S and Nemanich R J 2004 Role of thin Fe catalyst in the synthesis of double- and single-walled carbon nanotubes via microwave chemical vapor deposition Appl. Phys. Lett. 85 2601
41. Hamada N, Sawada S and Oshiyama A 1992 New one-dimensioanl conductors: graphite microtubules Phys. Rev. Lett. 68 1579
42. Saito R, Fujita M, Dresselhaus G and Dresselhaus M S 1992 Electronic structure of chiral graphene tubules Appl. Phys. Lett. 60 2204
43. Mintmire J W, Dunlap B I and White C T 1992 Are fullerene tubules metallic? Phys. Rev. Lett. 68 631
44. Olk C H and Heremans J P 1994 Scanning tunneling spectroscopy of carbon nanotubes J. Mater. Res. 9 259
45. Yorikawa H and Muramatsu S 1995 Energy gaps of semiconducting nanotubules Phys. Rev. B 52 2723
46. Kleiner A and Eggert S 2001 Band gaps of primary metallic carbon nanotubes Phys. Rev. B 63 073408
47. Collins P G, Zettl A, Bando H, Thess A and Smalley R E 1997 Nanotube nanodevice Science 278 100
48. Yao Z, Postma H W Ch, Balents L and Dekker C 1999 Carbon nanotube intramolecular junctions Nature 402 273
49. Kong J, Franklin N R, Zhou C, Chapline M G, Peng S, Cho K and Dai H 2000 Nanotube molecular wires as chemical sensors Science 287 622
50. Avouris P 2002 Molecular electronics with carbon nanotubes Acc. Chem. Res. 35 1026
51. Yoo S, Jung Y M, Lee D S, Han W T, Oh K, Murakami Y, Edamura T and Maruyama S 2005 Optical anisotropy in single-walled carbon nanotubes Opt. Lett. 30 3201
52. Kazaoui S, Minami N, Nalini B, Kim Y, Takada N and Hara K 2005 Near-infrared electroluminescent devices using single-wall carbon nanotubes thin flms Appl. Phys. Lett. 87 211914
53. Chen J, Perebeinos V, Freitag M, Tsang J, Fu Q, Liu J and Avouris P 2005 Bright infrared emission from electrically induced excitons in carbon nanotubes Science 310 1171
54. Robertson D H, Brenner D W and Mintmire J W 1992 Energetics of nanoscale graphitic tubules Phys. Rev. B 45 12592
55. Calvert P 1992 Strength in disunity Nature 357 365
56. Overney G, Zhong W and Tomanek D 1993 Structural rigidity and low-frequency vibrational modes of long carbon tubules Z. Phys. D 27 93
57. Tracy M M J, Ebbesen T W and Gibson J M 1996 Exceptionally high Young's modulus observed for individual carbon nanotubes Nature 381 678
58. Yao N and Lordi V 1998 Young's modulus of single-walled carbon nanotubes J. Appl. Phys. 84 1939
59. Lu J-P 1997 Elastic properties of carbon nanotubes and nanoropes Phys. Rev. Lett. 79 1297
60. Gao R P, Wang Z L, Bai Z G, de Heer W A, Dai L M and Gao M 2000 Nanomechanics of individual carbon nanotubes from pyrolytically grown arrays Phys. Rev. Lett. 85 622
61. Dohn S, Kjelstrup-Hansen J, Madsen D N, Molhave K and Boggild P 2005 Multi-walled carbon nanotubes integrated in microcantilevers for application of tensile strain Ultramicroscopy 105 209
62. Mori H, Hirai Y, Ogata S, Akita S and Nakayama Y 2005 Chirality dependence of mechanical properties of single-walled carbon nanotubes under axial tensile strain Japan. J. Appl. Phys. 44 L1307
63. Barber A H et al 2005 On the tensile strength distribution of multiwalled carbon nanotubes Appl. Phys. Lett. 87 203106
64. Rinzler A G, Hafner J H, Nikolaev P, Lou L, Kim S G, Tomanek D, Nordlander P, Colbert D T and Smalley R E 1995 Unraveling nanotubes-field- emission from an atomic wire Science 269 1550
65. de Heer W A, Chtelain A and Ugarte D 1995 A carbon nanotube field-emission electron source science Science 270 1179
66. Collins P G and Zettl A 1996 A simple and robust electron beam source from carbon nanotubes Appl. Phys. Lett. 69 1969
67. Wang Q H, Corrigan T D, Dai J Y, Chang R P H and Krauss A R 1997 Field emission from nanotube bundle emitters at low fields Appl. Phys. Lett. 70 3308
68. Bonard J M, Salvetat J P, Stockli T, de Heer W A, Forro L and Chatelain A 1998 Field emission from single-wall carbon nanotube films Appl. Phys. Lett. 73 918
69. Zhu W, Bower C, Zhou O, Kochanski G and Jin S 1999 Large current density from carbon nanotube field emitters Appl. Phys. Lett. 75 873
70. Bonard J M, Klinke C, Dean K A and Coll B F 2003 Degradation and failure of carbon nanotube field emitters Phys. Rev. B 67 115406
71. Yue G Z, Qiu Q, Gao B, Cheng Y, Zhang J, Shimoda H, Chang S, Lu J P and Zhou O 2002 Appl. Phys. Lett. 81 355
72. Cheng Y, Zhang J, Lee Y Z, Gao B, Dike S, Lin W, Lu J P and Zhou O 2004 Dynamic radiography using a carbon-nanotube-based field-emission x-ray source Rev. Sci. Instrum. 75 3264
73. Choi W B, Chung D S, Kang J H, Kim H Y, Jin Y W, Han I T, Lee Y H, Jung J E, Lee N S, Park G S and Kim J M 1999 Fully sealed, high-brightness carbon-nanotube fiel-emission display Appl. Phys. Lett. 75 3129
74. Fransen M J, Van Rooy T L and Kruit P 1999 Field emission energy distribution from individual multiwalled carbon nanotubes Appl. Surf. Sci. 164 312
75. Bonard J M, Salvetat J P, Stöckli T, Forró L and Chtelain A 1999 Field emission from carbon nanotubes: perspectives for applications and clues to the emission mechanism Appl. Phys. A 69 245
76. Bonard J M, Dean K A, Coll B F and Klinke C 2002 Field emission of individual carbon nanotubes in the scanning electron microscope Phys. Rev. Lett. 89 197602
77. de Jonge N, Lamy Y, Schoots K and Oosterkamp T H 2002 High brightness electron beam from a multi-walled carbon nanotube Nature 420 393
78. de Jonge N, Lamy Y and Kaiser M 2003 Controlled mounting of individual multiwalled carbon nanotubes on support tips Nano Lett. 3 1621
79. Zhang J, Tang J, Yang G, Qiu Q, Qin L-C and Zhou O 2004 Efficient fabrication of carbon nanotube point electron sources by dielectrophoresis Adv. Mater. 16 1219
80. Dai H, Hafner J H, Rinzler A G, Colbert D T and Smalley R E 1996 Nanotubes as nanoprobes in scanning probe microscopy Nature 384 147
81. Hafner J H, Cheung C-L and Lieber C M 1999 Growth of nanotube for probe microscopy tip Nature 398 761
82. Hafner J H, Cheung C-L, Woolley A T and Lieber C M 2001 Structural and functional imaging with carbon nanotube AFM probes Prog. Biophys. Mol. Biol. 77 73
83. Tang J, Yang G, Zhang Q, Parhat A, Maynor B, Liu J, Qin L-C and Zhou O 2005 Rapid and reproducible fabrication of carbon nanotube AFM probes by dielectrophoresis Nano Lett. 5 11
84. Rao A M et al 1997 Diameter-selective Raman scattering from vibrational modes in carbon nanotubes Science 275 187
85. Jorio A, Pimenta M A, Souza A G, Saito R, Dresselhaus G and Dresselhaus M S 2003 Characterizaing carbon nanotube samples with resonance Raman scattering New J. Phys. 5 139
86. Bachilo S M, Strano M S, Kittrell C, Huage R H, Smalley R E and Weisman R B 2002 Structure assisted optical spectra of single-walled carbon nanotubes Science 298 2361
87. Strano M S, Doorn S K, Haroz E H, Kittrell C, Huage R H and Smalley R E 2003 Assignment of (n, m) Raman and optical features of metallic single-walled carbon nanotubes Nano Lett. 3 1091
88. Ge M and Sattler K 1993 Vapor-condensation generation of and STM analysis of fullerene tubes Science 260 515
89. Ge M and Sattler K 1994 STM of single-shell nanotubes of carbon Appl. Phys Lett. 65 2284
90. Lin N, Ding J, Yang S and Cue N 1996 Scanning tunneling microscopy and spectroscopy of a carbon nanotube Carbon 34 1295
91. Wildoer J W G, Venema L C, Rinzler A G, Smalley R E and Dekker C 1998 Electronic structure of atomically resolved carbon nanotubes Nature 391 59
92. Odom T W, Huang J-L, Kim P and Lieber C M 1998 Atomic structure and electronic properties of single-walled carbon nanotubes Nature 391 62
93. Cochran W, Crick F C H and Vand V 1952 The structure of synthetic polypeptides. I. The transform of atoms on a helix Acta Cryst. 5 581
94. Watson J D and Crick F H C 1953 A structure of deoxy-ribose nucleic acid Nature 171 737
95. Wilkins M H F, Stokes A R and Wilson H R 1953 Molecular structure of deoxypentose nucleic acids Nature 171 738
96. Franklin R and Gosling 1953 Molecular configuration in sodium thymonucleate Nature 171 739
97. Klug A, Crick F H C and Wyckoff H W 1958 Diffraction by helical structures Acta Cryst. 11 199
98. Vainshtein B K 1966 Diffraction of X-Rays by Chain Molecules (Amsterdam: Elsevier)
99. Sherwood D 1976 Crystals X-Rays and Proteins (London: Longman)
100. Lucas A A and Lambin P 2005 Diffraction by DNA, carbon nanotubes and other helical nanostructures Rep. Prog. Phys. 68 1181
101. Qin L-C 1994 Electron diffraction from cylindrical nanotubes J. Mater. Res. 9 2450
102. Lucas A A, Bruyninckx V and Lambin Ph 1996 Calculating the diffraction of electrons or x-rays by carbon nanotubes Europhys. Lett. 35 355
103. Lambin P and Lucas A A 1997 Quantitative theory of diffraction by carbon nanotubes Phys. Rev. B 56 3571
104. Zhang X F, Zhang X B, Van Tendeloo G, Amelinckx S, Op de Beeck M and Van Landuyt J 1993 Carbon nanoptubes; their formation process and observation by electron microscopy J. Cryst. Growth 130 368
105. Zhang X B, Zhang X F, Amelinckx S, Van Tendeloo G and Van Landuyt J 1994 The reciprocal space of carbon-tubes: a detailed interpretation of the electron diffraction effects Ultramicroscopy 54 237
106. Zhang X B and Amelinckx S 1994 On the determination of the chiral angle in carbon nanotubes Carbon 32 1537
107. Amelinckx S, Devouard B and Baronnet A 1996 Geometric aspects of the diffraction space of serpentine rolled microstructures: their study by means of electron diffraction and microscopy Acta Cryst. A 52 850
108. Bernaerts D, Amelinckx S, Lambin P and Lucas A A 1998 The diffraction space of circular and polygonized multishell nanotubules Appl. Phys. A 67 53
109. Amelinckx S, Lucas A and Lambin P 1999 Electron diffraction and microscopy of nanotubes Rep. Prog. Phys. 62 1471
110. Qin L -C, Ichihashi T and Iijima S 1997 On the measurement of helicity of carbon nanotubes Ultramicroscopy 67 181
111. Cowley J M, Nikolaev P, Thess A and Samlley R E 1997 Electron nano-diffraction study of carbon single-walled nanotube ropes Chem. Phys. Lett. 265 379
112. Qin L -C, Iijima S, Kataura H, Maniwa Y, Suzuki S and Achiba Y 1997 Helicity and packing of single-walled carbon nanotubes studied by electron nanodiffraction Chem. Phys. Lett. 268 101
113. Qin L -C 1998 Measuring the true helicity of carbon nanotubes Chem. Phys. Lett. 297 23
114. Qin L -C 2000 Helical diffraction from tubular structures Mater. Charact. 44 407
115. He R R, Jin H Z, Zhu J, Yan Y J and Chen X H 1998 Physical and electronic structure in carbon nanotubes Chem. Phys. Lett. 298 170
116. Kociak M, Suenaga K, Hirahara K, Saito Y, Nagahira T and Iijima S 2002 Linking chiral indices and transport properties of double-walled carbon nanotubes Phys. Rev. Lett. 89 155501
117. Colomer J-F, Henrard L, Lambin P and Van Tendeloo G 2001 Electron diffraction study of small bundles of single-walled carbon nanotubes with unique helicity Phys. Rev. B 64 125425
118. Colomer J-F, Henrard L, Lambin P and Van Tendeloo G 2002 Electron diffraction and microscopy of single-walled carbon nanotube bundles produced by different methods Euro. Phys. J. B 27 111
119. Colomer J-F, Henrard L, Launois P, Van Tendeloo G, Lucas A A and Lambin P 2004 Interpretation of electron diffraction from carbon nanotube bundles presenting exact helicity Phys. Rev. B 70 075408
120. Gao M, Zuo J M, Twesten R D, Petrov I, Nagahara L A and Zhang R 2003 Structure determination of individual single-wall carbon nanotubes by nanoarea electron diffraction Appl. Phys. Lett. 82 2703
121. Zuo J M, Vartanyants I, Gao M, Zhang R and Nagahara L A 2003 Atomic resolution imaging of a carbon nanotube from diffraction intensities Science 300 1419
122. Liu Z and Qin L-C 2005 A direct method to determine the chiral indices of carbon nanotubes Chem. Phys. Lett. 408 75
123. Liu Z, Zhang Q and Qin L-C 2005 Determination and mapping of diameter and helicity for single-walled carbon nanotubes using nanobeam electron diffraction Phys. Rev. B 71 245413
124. Liu Z, Zhang Q and Qin L-C 2005 Accurate determination of atomic structure of multiwalled carbon nanotubes by nondestructive nanobeam electron diffraction Appl. Phys. Lett. 86 191903
125. Liu M and Cowley J M 1994 Structures of the helical carbon nanotubes Carbon 32 393
126. Liu M and Cowley J M 1994 Structures of carbon nanotubes studied by HRTEM and nanodiffraction Ultramicroscopy 53 333
127. Fan X D and Bursil L A 1995 Principles for structure analysis of carbon nanotubes by high-resolution transmission electron microscopy Phil. Mag. A 72 139
128. Bernaerts D, Zettl A, Chopra N G, Thess A and Smalley R E 1998 Electron diffraction study of single-wall carbon nanotubes Solid State Commun. 105 145
129. Hirahara K, Bandow S, Suenaga K, Kato H, Okazaki T, Shinohara H and Iijima S 2000 One-dimensional metallofullerenes crystal generated inside single-walled nanotubes Phys. Rev. Lett. 85 5384
130. Lambin P, Meunier V, Henrard L and Lucas A A 2000 Measuring the helicity of carbon nanotubes Carbon 38 1713
131. Henrard L, Loiseau A, Journet C and Bernier P 2000 Study of the symmetry of single wall nanotubes by electron diffraction Eur. Phys. J. B 13 661
132. Lucas A A, Moreau F and Lambin P 2002 Optical simulations of electron diffraction by carbon nanotubes Rev. Mod. Phys. 74 1
133. Schlittler R R, Seo J W, Gimzewski J K, Durkan C, Saifullah M S M and Welland M E 2001 Single crystals of single-walled carbon nanotubes formed by self-assembly Science 292 1136
134. Chisholm M F, Wang Y H, Lupini A R, Eres G, Puretzky A A, Brinson B, Melechko A V, Geohegan D B, Cui H T, Johnson M P, Pennycook S J, Lowndes D H, Arepalli S, Kittrell C, Sivaram S, Kim M, Lavin G, Kono J, Hauge R and Smalley R E 2003 Comment on 'Single crystals of single-walled carbon nanotubes formed by self-assembly' Science 300 1236
135. Kociak M, Suenaga K, Hirahara K, Saito Y, Nakahira T and Iijima S 2002 Linking chiral indices and transport properties of double-walled carbon nanotubes Phys. Rev. Lett. 89 155501
136. Kociak M, Hirahara K, Suenaga K and Iijima S 2003 How accurate can the determination of chiral indices of carbon nanotubes be? An experimental investigation of chiral indices determination of DWNT by electron diffraction Eur. Phys. J. B 32 457
137. Ruland W, Schaper A K, Hou H and Greiner A 2003 Multi-wall carbon nanotubes with uniform chirality: evidence for scroll structures Carbon 41 423
138. Colomer J -F, Henrard L, Van Tendeloo G, Lucas A A and Lambin P 2004 Study of the packing of double-wall carbon nanotubes into bundles by transmission electron microscopy and electron diffraction J. Mater. Chem. 14 603
139. Zhang G Y, Jiang X and Wang E G 2003 Tubular graphite cones Science 300 472
140. Luo J, Zhu J and Ye H Q 2004 Comment on 'Tubular graphite cones' Science 303 766c
141. Zhang G Y, Bai X D, Jiang X and Wang E G 2004 Response to Comment on 'Tubular graphite cones' Science 303 766c
142. Hirahara K, Bandow S, Kataura H, Kociak M and Iijima S 2004 Phys. Rev. B 70 205422
143. Meyer J C, Paillet M, Duesberg G S and Roth S 2005 Electron diffraction analysis of individual single-walled carbon nanotubes Ultramicroscopy 106 176
144. Saito R, Dresselhaus G and Dresselhaus M S 1998 Physical Properties of Carbon Nanotubes (London: Imperial College Press)
145. Mott N F 1930 The scattering of electrons by atoms Proc. R. Soc. Lond. 127 658
146. Humphreys C J 1979 The scattering of fast electrons by crystals Rep. Prog. Phys. 42 1825
147. Hoerni J A and Ibers J A 1953 Complex amplitudes for electron scattering by atoms Phys. Rev. 91 1182
148. Doyle P A and Turner P S 1968 Relativistic Hartree-Fock x-ray and electron scattering factors Acta Cryst. 24 390
149. Peng L-M and Cowley J M 1988 Errors arising from numerical use of the Mott formula in electron image simulation Acta Cryst. 44 1
150. Fox A G, O'Keefe M A and Tabbenrnor 1989 Relativistic Hartree-Fock x-ray and electron scattering factors at high angles Acta Cryst. A 45 786
151. Liu Z and Qin L-C 2005 Breakdown of 2mm symmetry in electron diffraction from multiwalled carbon nanotubes Chem. Phys. Lett. 402 202
152. Liu Z and Qin L-C 2004 Symmetry of electron diffraction from single-walled carbon nanotubes Chem. Phys. Lett. 400 430
153. Liu Z 2006 PhD Thesis University of North Carolina at Chapel Hill
154. Ball P 1996 The perfect nanotube Nature 382 207
155. Liu Z and Qin L-C in preparation
156. Zhang Q, Liu Z and Qin L-C in preparation
157. Liu Z and Qin L-C 2005 Extinction and orientational dependence of electron diffraction from single-walled carbon nanotubes Chem. Phys. Lett. 412 399
158. Zhang J and Zhu J 2006 Orientation dependence of diffraction intensities from helical structures Chem. Phys. Lett. 420 171
159. Iijima S, Brabec C, Maiti A and Bernholc J 1996 Structural flexibility of carbon nanotubes J. Chem. Phys. 104 2089
160. Lordi V and Yao N 1998 Radial compression and controlled cutting of carbon nanotubes J. Chem. Phys. 109 2509
161. Tang J, Qin L-C, Matsushita A, Kikegawa T, Yudasaka M, Bandow S and Iijima S 2000 Study of carbon nanotubes under high pressure Mater. Res. Soc. Symp. Proc. 593 179
162. Tang J, Qin L-C, Sasaki T, Yudasaka M, Matsushita A and Iijima S 2000 Compressibility and polygonization of single-walled carbon nanotubes under hydrostatic pressure Phys. Rev. Lett. 85 1887
163. Lopez M J, Rubio A, Alonso J A, Qin L-C and Iijima S 2001 New polygonized phase of single wall carbon nanotube bundles Phys. Rev. Lett. 86 3056
164. Liu Z and Qin L-C 2005 Electron diffraction from elliptical nanotubes Chem. Phys. Lett. 406 106
165. Abramovitz M and Stegun I A 1972 Handbook of Mathematical Functions (Washinton DC: National Bureau of Standards)
166. Liu Z and Qin L-C 2005 A practical approach to determine the handedness of chiral carbon nanotubes by electron diffraction Chem. Phys. Lett. 405 265
167. Qin L-C and Iijima S 2000 Twisting of single-walled carbon nanotube bundles Mater. Res. Soc. Symp. Proc. 593 33
168. Liu Z and Qin L-C 2005 Structure and energetics of carbon nanotube ropes Carbon 43 2146
169. Krstic V, Roth S, Burghard M, Kern K and Rikken G L J A 2002 Magneto-chiral anisotropy in charge transport through single-walled carbon nanotubes J. Chem. Phys. 117 11315
170. Miyamoto Y, Louie S G and Cohen M L 1996 Chiral conductivities of nanotubes Phys. Rev. Lett. 76 2121
171. Kibis O V 2001 Features of electron-phonon interaction in nanotubes with chiral symmetry placed in a magnetic field Phys. Solid State 43 2336
172. Ivchenko E L and Spivak B 2002 Chirality effects in carbon nanotubes Phys. Rev. B 66 155404
173. 2 nanotubes J. Microsc. 181 68
174. Meyer J C, Paillet M and Roth S 2005 Single-molecule torsional pendulum Science 309 1539
175. Liu Z and Qin L-C 2005 Measurement of handedness in multiwalled carbon nanotubes by electron diffraction Chem. Phys. Lett. 411 291
176. Liu Z and Qin L-C in preparation