Direct current electrical and microwave properties of polymer-multiwalled carbon nanotubes composites

Journal of Applied Physics

Volumn 103, Issue 5, 2008, Pages

  Mdarhri, A ^a,b   Carmona, F ^a   Brosseau, C ^b   Delhaes, P ^a  

^a CENTRE DE RECHERCHE PAUL PASCAL   (France)

^b UNIVERSITÉ DE BRETAGNE OCCIDENTALE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC CONDUCTIVITY; MICROWAVES; PERMITTIVITY; POLYSTYRENES; TRANSMISSION ELECTRON MICROSCOPY; VOLUME FRACTION;

AGGLOMERATE DISTRIBUTION; MICROWAVE PROPERTIES; POLYMER CHAINS;

MULTIWALLED CARBON NANOTUBES (MWCN);

EID: 40849118376     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2841461     Document Type: Article

References (68)

1. J. N. Coleman, S. Curran, A. Dalton, A. P. Davey, B. Mc. Carrthy, W. Blau, and R. C. Barklie, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.R7492 58, R7492 (1998).
2. J. K. W. Sandler, J. E. Kirk, I. A. Kinloch, M. S. P. Shaffer, and A. H. Windle, Polymer POLMAG 0032-3861 10.1016/S0032-3861(03)00539-1 44, 5893 (2003).
3. P. Miaudet, C. Bartholome, A. Derŕ, M. Maugey, G. Signaud, C. Zakri, and P. Poulin, Polymer POLMAG 0032-3861 10.1016/j.polymer.2007.05.028 48, 4068 (2007).
4. R. Saito, G. Dresselhaus, and M. S. Dresselhaus, Physical Properties of Carbon Nanotubes (Imperial College Press, London, 1998).
5. M. B. Bryning, M. F. Islam, J. M. Kikkawa, and A. J. Yodh, Adv. Mater. (Weinheim, Ger.) ADVMEW 0935-9648 10.1002/adma.200401649 17, 1186 (2005).
6. J. N. Coleman, U. Khan, W. J. Blau, and Y. K. Gun'ko, Carbon CRBNAH 0008-6223 10.1016/j.carbon.2006.02.038 44, 1624 (2006).
7. M. J. Biercuk, M. C. Llaguno, M. Radosavljevic, J. K. Hyun, A. T. Jonhson, and J. E. Fischer, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1469696 80, 2767 (2002).
8. G. Ṕcastaings, P. Delhàs, A. Derre, F. Carmona, H. Saadaoui, and S. Cui, J. Nanosci. Nanotechnol. JNNOAR 1533-4880 10.1166/jnn.2004.114 4, 838 (2004).
9. B. Vigolo, C. Coulon, A. Ṕnicaud, P. Bernier, C. Journet, C. Sauder, R. Pailler, and P. Poulin, Science SCIEAS 0036-8075 10.1126/science.290. 5495.1331 289, 1331 (2000).
10. X.-L. Xie, Y.-W. Mai, and X.-P. Zhou, Mater. Sci. Eng., R. MIGIEA 0927-796X 10.1016/j.mser.2005.04.002 49, 89 (2005).
11. S. Cui, R. Canet, A. Derŕ, M. Couzi, and P. Delhás, Carbon CRBNAH 0008-6223 10.1016/S0008-6223(02)00405-0 41, 797 (2003).
12. J. Ravier, F. Houze, F. Carmona, and H. Saadaoui, Carbon CRBNAH 0008-6223 10.1016/S0008-6223(00)00242-6 39, 314 (2001); see also F. Houź, R. Meyer, O. Schneegans, and L. Boyer, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.117637 69, 1996 (1995).
13. Encyclopedia of Nanoscience and Nanotechnology, edited by, H. S. Nalwa, (American Scientific, New York, 2004); E. L. Wolf, Nanophysics and Nanotechnology (Wiley-VCH, Weinheim, 2004); G. Cao, Nanostructures and Nanomaterials (Imperial College Press, London, 2004).
14. S. Cui, C. Z. Lu, Y. L. Qiao, and L. Cui, Carbon CRBNAH 0008-6223 10.1016/S0008-6223(99)00218-3 37, 2070 (1999).
15. A. Dufresne, M. Paillet, J. L. Putaux, R. Canet, F. Carmona, P. Delhaes, and S. Cui, J. Mater. Sci. JMTSAS 0022-2461 10.1023/A:1019659624567 37, 3915 (2002).
16. C. Mouney, Ph.D. thesis, University of Bordeaux 1, 1989.
17. A. Mouhsen, Ph.D. thesis, University of Bordeaux 1, 1995.
18. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor and Francis, London, 1992); See also M. Beran, Statistical Continuum Theories (Wiley, New York, 1968).
19. C.-W. Nan, Prog. Mater. Sci. PRMSAQ 0079-6425 10.1016/0079-6425(93)90004- 5 37, 1 (1993).
20. S. Feng, B. I. Halperin, and P. N. Sen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.35.197 35, 197 (1987).
21. S. Vionnet-Menot, C. Grimaldi, T. Maeder, S. Strässler, and P. Ryser, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.064201 71, 064201 (2005); G. A. Garfunkel and M. B. Weissman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.55.296 55, 296 (1985).
22. M. Sahimi, Heterogeneous Materials I: Linear Transport and Optical Properties (Springer, New York, 2003); G. I. Barenblatt, Scaling (Cambridge University Press, New York, 2004).
23. J. P. Clerc, G. Giraud, J. M. Laugier, and J. M. Luck, Adv. Phys. ADPHAH 0001-8732 10.1080/00018739000101461 39, 1 (1990).
24. I. Balberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.59.1305 59, 1305 (1987); I. Balberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57. 13351 57, 13351 (1998).
25. S. P. Milo and A. H. Windle, Adv. Mater. (Weinheim, Ger.) ADVMEW 0935-9648 10.1002/(SICI)1521-4095(199908)11:11937::AID-ADMA9373.3.CO;2-0 11, 937 (1999); P. Potschke, S. M. Dudkin, and I. Alig, Polymer POLMAG 0032-3861 10.1016/S0032-3861(03)00451-8 44, 5023 (2003); J. K. W. Sandler, J. E. Kirk, I. A. Kinloch, M. S. P. Shaffer, and A. H. Windle, Polymer POLMAG 0032-3861 10.1016/S0032-3861(03)00539-1 44, 5893 (2003); S.-L. Shi and J. Liang, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2430700 101, 023708 (2007); J. C. Dawson and C. J. Adkins, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/8/43/ 024 8, 8321 (1996); E. Kymakis and G. A. J. Amaratunga, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2189931 99, 084302 (2006).
26. C. Brosseau and P. Talbot, Meas. Sci. Technol. MSTCEP 0957-0233 10.1088/0957-0233/16/9/015 16, 1823 (2005); C. Brosseau, P. Queffelec, and P. Talbot, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1343521 89, 4532 (2001); C. Brosseau, P. Moliní, F. Boulic, and F. Carmona, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1371938 89, 8297 (2001).
27. A. Mdarhri, C. Brosseau, and F. Carmona, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2718867 101, 084111 (2007).
28. S. Barrau, P. Demont, A. Peigney, C. Laurent, and C. Lacabanne, Macromolecules MAMOBX 0024-9297 10.1021/ma030399m 36, 9678 (2003); G. T. Kim, S. H. Jang, J. G. Park, Y. W. Park, and S. Roth, Synthesis SYNTBF 0039-7881 117, 223 (2001); Y. Simsek, L. Ozyuzer, A. T. Seyhan, M. Tanoglu, and K. Schulte, J. Mater. Sci. JMTSAS 0022-2461 10.1007/s10853-007-1943-9 42, 9689 (2007); H. M. Kim, M.-S. Choi, J. Joo, S. J. Cho, and H. S. Yoon, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.054202 74, 054202 (2006).
29. P. Sheng, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.21.2180 21, 2180 (1980); see also P. Sheng, E. K. Sichel, and J. L. Gittleman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.40.1197 40, 1197 (1978).
30. B. E. Kilbride, J. N. Coleman, J. Fraysse, S. Roth, and W. J. Blau, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1506397 92, 4024 (2002).
31. M. T. Connor, S. Roy, T. A. Ezquerra, and B. Calleja, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.2286 57, 2286 (1998).
32. A. N. Lagarkov and A. K. Sarychev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.6318 53, 6318 (1996).
33. A. K. Jonscher, Dielectric Relaxation in Solids (Chelsea Dielectrics Press, London, 1983); See also A. K. Jonscher, Universal Relaxation Law (Chelsea Dielectrics Press, London, 1996).
34. C. Brosseau and P. Talbot, IEEE Trans. Dielectr. Electr. Insul. ITDIES 1070-9878 10.1109/TDEI.2004.1349787 11, 819 (2004).
35. C. Brosseau, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1447307 91, 3197 (2002); see also C. Brosseau and A. Beroual, Prog. Mater. Sci. PRMSAQ 0079-6425 10.1016/S0079-6425(02)00013-0 48, 373 (2003).
36. K. Miyasaka, K. Watanabe, E. Jojima, H. Aida, M. Sumita, and K. Ishikawa, J. Mater. Sci. JMTSAS 0022-2461 10.1007/BF00540785 17, 1610 (1982).
37. Q. Zhang and L. Archer, Langmuir LANGD5 0743-7463 10.1021/la026338j 18, 10435 (2002).
38. M. Sahimi, Applications of Percolation Theory (Taylor and Francis, London, 1994); see also C. W. Nan, Prog. Mater. Sci. PRMSAQ 0079-6425 10.1016/0079-6425(93)90004-5 37, 1 (1993).
39. See, e. g., L. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media (Butterworth-Heinemann, Oxford, 1984); J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).
40. C. Brosseau, J. Phys. D JPAPBE 0022-3727 10.1088/0022-3727/39/7/S02 39, 1277 (2006); See also R. Landauer, AIP Conf. Proc. APCPCS 0094-243X 40, 2 (1978); see also R. Landauer, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1702301 23, 779 (1952).
41. Dielectric Properties of Heterogeneous Materials, Progress in Electromagnetics Research, edited by, A. Priou, (Elsevier, New York, 1992).
42. A. Sihvola, Electromagnetic Mixing Formulas and Applications (IEE, London, 1999).
43. K. Lichteneker, Phys. Z. PHZTAO 0369-982X 30, 805 (1929).
44. S. Stölzle, A. Enders, and G. Nimtz, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1992153 2, 401 (1992).
45. D. S. McLachlan, M. Blaszkiewics, and R. E. Newnham, J. Am. Ceram. Soc. JACTAW 0002-7820 10.1111/j.1151-2916.1990.tb07576.x 73, 2187 (1990); see also J. Wu and D. S. McLachlan, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.1236 56, 1236 (1997); J. Wu and D. S. McLachlan, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.14880 58, 14880 (1998); D. S. McLachlan, W. Heiss, C. Chiteme, and J. Wu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.13558 58, 13558 (1998); C. Chiteme and D. S. McLachlan, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.024206 67, 024206 (2003); the interested reader may also consult D. S. McLachlan, C. Chiteme, C. Park, K. E. Wise, Z. Ounaies, S. E. Lowther, P. Lillehei, E. J. Siochi, and J. S. Harrison, J. Polym. Sci., Part B: Polym. Phys. JPBPEM 0887-6266 10.1002/polb.20597 43, 3273 (2005) for an application of the TEPPE analysis of SWCNTpolymer composites.
46. F. Carmona, Ann. Chim. (Paris) ANCPAC 0151-9107 13, 395 (1988).
47. A. Thess, Science SCIEAS 0036-8075 10.1126/science.273.5274.483 273, 483 (1996).
48. M. Bockrath, D. H. Cobden, P. L. McEuen, N. G. Chopra, A. Zettl, A. Thess, and R. E. Smalley, Science SCIEAS 0036-8075 10.1126/science.275.5308.1922 275, 1922 (1997).
49. J. E. Fischer, H. Dai, A. Thess, R. Lee, N. M. Hanjani, D. L. Dehaes, and R. E. Smalley, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.R4921 55, R4921 (1997).
50. P. G. Collins, A. Zettl, H. Bando, A. Thess, and R. E. Smalley, Science SCIEAS 0036-8075 10.1126/science.278.5335.100 278, 100 (1997).
51. I. J. Youngs, J. Phys. D JPAPBE 0022-3727 10.1088/0022-3727/35/23/314 35, 3127 (2002).
52. E. Tuncer and E. Tuncer, Turk. J. Phys. TJPHEY 1300-0101 23, 101 (2003); E. Tuncer, B. Nettelblad, and S. M. Gubanski, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1505975 92, 4612 (2002).
53. E. Tuncer, Y. V. Serdyuk, and S. M. Gubanski, IEEE Trans. Dielectr. Electr. Insul. ITDIES 1070-9878 10.1109/TDEI.2002.1038664 9, 809 (2002).
54. S. Torquato, Random Heterogeneous Materials: Microstructure and Macroscopic Properties (Springer, New York, 2002).
55. V. Myroshnychenko and C. Brosseau, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.016701 71, 016701 (2005); V. Myroshnychenko and C. Brosseau, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1835544 97, 044101 (2005). It should be noted that Monte Carlo (MC) calculations are fundamentally limited by the statistical accuracy that can be obtained in a reasonable amount of computation time, and despite the growing maturity of MC techniques in terms of efficiency, computations are hampered by increasing correlations in samples with increasing system size.
56. F. Carmona and J. Ravier, Carbon CRBNAH 0008-6223 10.1016/S0008-6223(01) 00166-X 40, 151 (2002).
57. S. Paciornik, O. da Fonseca Martins Gomes, A. Delarue, S. Schamm, D. Jeulin, and A. Thorel, Eur. Phys. J.: Appl. Phys. EPAPFV 1286-0042 10.1051/epjap:2002107 21, 17 (2003).
58. A. Mejdoubi and C. Brosseau, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.031405 74, 031405 (2006); A. Mejdoubi and C. Brosseau, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2359119 100, 094103 (2006); A. Mejdoubi and C. Brosseau, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2718279 101, 084109 (2007); A. Mejdoubi and C. Brosseau, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.165424 74, 165424 (2006); A. Mejdoubi and C. Brosseau, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2007.08.049 372, 741 (2008).
59. V. M. Garcia-Suárez, J. Ferrer, and C. J. Lambert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.106804 96, 106804 (2006).
60. S. C. Tsang, Y. K. Chen, P. Harris, and M. Green, Nature (London) NATUAS 0028-0836 10.1038/372159a0 372, 159 (1994).
61. D. J. Hornbaker, S.-J. Kahng, S. Misra, B. W. Smith, A. T. Johnson, E. J. Mele, D. E. Luzzi, and A. Yazdani, Science SCIEAS 0036-8075 10.1126/science.1068133 295, 828 (2002).
62. J. Lee, H. Kim, S.-J. Kahng, G. Kim, Y.-W. Son, J. Ihm, H. Kato, Z. W. Wang, T. Okazaki, H. Shinohara, and Y. Kuk, Nature (London) NATUAS 0028-0836 10.1038/4151005a 415, 1005 (2002).
63. J. Lu, S. Nagase, D. Yu, H. Ye, R. Han, Z. Gao, S. Zhang, and L. Peng, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.116804 93, 116804 (2004).
64. T. Takenobu, T. Takano, M. Shiraishi, Y. Murakami, M. Ata, H. Kataura, Y. Achiba, and Y. Iwasa, Nat. Mater. NMAACR 1476-1122 10.1038/nmat976 2, 683 (2003).
65. D. Zhu, Y. Bin, and M. Matsuo, J. Polym. Sci., Part B: Polym. Phys. JPBPEM 0887-6266 10.1002/polb.21115 45, 1037 (2007).
66. J. Li, A. N. Khlobystov, J. G. Wiltshire, G. A. Briggs, and R. J. Nicholas, Nat. Mater. NMAACR 1476-1122 10.1038/nmat1396 4, 481 (2005).
67. K. Tsukagoshi, B. W. Alphenaar, and H. Ago, Nature (London) NATUAS 0028-0836 10.1038/44108 401, 572 (1999).
68. B. Zhao, I. Mönch, H. Vinzelberg, T. Mühl, and C. M. Schneider, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1471570 80, 3144 (2002).