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Evaluation of Young's Modulus of Carbon Nanotubes by Micro-Raman Spectroscopy

Published online by Cambridge University Press:  31 January 2011

O. Lourie  and
H. D. Wagner
O. Lourie
Affiliation:
Department of Materials and Interfaces, Weizmann Institute of Science, Rehovot 76100, Israel
H. D. Wagner
Affiliation:
Department of Materials and Interfaces, Weizmann Institute of Science, Rehovot 76100, Israel
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Abstract

Micro-Raman spectroscopy is used to monitor the cooling-induced compressive deformation of carbon nanotubes embedded in an epoxy matrix. Young's modulus of single- and multiwall nanotubes may then be derived from a concentric cylinder model for thermal stresses, using the D*-band shift for each tube type. The resulting values of the elastic moduli are in very good agreement with predicted theoretical values, and with the published experimental data set of Treacy et al., Nature (London) 381, 678 (1996).

Type
Articles
Information
Journal of Materials Research , Volume 13 , Issue 9 , September 1998 , pp. 2418 - 2422
Copyright
Copyright © Materials Research Society 1998

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References

1.Iijima, S., Nature (London) 354, 56 (1991).CrossRefGoogle Scholar
2.Bethune, D. S., Kiang, C. H., de Vries, M. S., Gorman, G., Savoy, R., Vazquez, J., and Beyers, R., Nature (London) 363, 605 (1993).CrossRefGoogle Scholar
3.Iijima, S. and Ichihashi, T., Nature (London) 363, 603 (1993).CrossRefGoogle Scholar
4.Ebbesen, T. W., Ann. Rev. Mater. Sci. 24, 235 (1994).CrossRefGoogle Scholar
5.Ajayan, P. M., Cond. Matt. News 4, 9 (1995).Google Scholar
6.Dresselhaus, M. S., Dresselhaus, G., and Eklund, P. C., Science of Fullerenes and Carbon Nanotubes (Academic Press, New York, 1996).Google Scholar
7.Yakobson, B. I. and Smalley, R. E., Am. Sci. 85, 324 (1997).Google Scholar
8.Overney, G., Zhong, W., and Tomanek, D. Z., Phys. D27, 93 (1993).Google Scholar
9.Yakobson, B. I., Brabec, C. J., and Bernholc, J., Phys. Rev. Lett. 76 (14), 2511 (1996).CrossRefGoogle Scholar
10.Wagner, H. D., Lourie, O., Feldman, Y., and Tenne, R., Appl. Phys. Lett. 72 (2), 188 (1998).Google Scholar
11.Lourie, O., Cox, D. M., and Wagner, H. D., unpublished.Google Scholar
12.Galiotis, C. and Batchelder, D. N., J. Mater. Sci. Lett. 7, 545 (1988).CrossRefGoogle Scholar
13.Melanitis, N., Tetlow, P. L., Galiotis, C., and Smith, S. B., J. Mater. Sci. 29, 786 (1994).Google Scholar
14.Huang, Y. and Young, R. J., J. Mater. Sci. 29, 4027 (1994).Google Scholar
15.Wagner, H. D., Amer, M. S., and Schadler, L. S., J. Mater. Sci. 31, 1165 (1996).CrossRefGoogle Scholar
16.Rao, A. M., Richter, E., Bandow, S., Chase, B., Eklund, P. C., Williams, K. A., Fang, S., Subbaswamy, K. R., Menon, M., Thess, A., Smalley, R. E., Dresselhaus, G., and Dresselhaus, M. S., Science 275, 187 (1997).CrossRefGoogle Scholar
17.Holden, J. M., Zhou, P., Bi, X-X., Eklund, P. C., Bandow, S., Jishi, R. A., Chowdhury, K. D., Dresselhaus, M. S., and Dresselhaus, G., Chem. Phys. Lett. 220, 186 (1994).CrossRefGoogle Scholar
18.Xu, C. H., Wang, C. Z., Chan, C. T., and Ho, K. M., J. Phys. Cond. Matter 4, 6047 (1992).CrossRefGoogle Scholar
19.Tuinstra, F. and Koenig, J. L., J. Chem. Phys. 53, 1126 (1970).CrossRefGoogle Scholar
20.Huong, P. V., Cavagnat, R., Ajayan, P. M., and Stephan, O., Phys. Rev. B 51, 10 048 (1995).CrossRefGoogle Scholar
21.Schaufele, R. F. and Shimanouchi, T., J. Chem. Phys. 47, 3605 (1967).Google Scholar
22.Nemanich, R. J. and Solin, S. A., Phys. Rev. B 20, 392 (1979).CrossRefGoogle Scholar
23.Wagner, H. D., Phys. Rev. B 53, 5055 (1996).CrossRefGoogle Scholar
24.Timoshenko, S., Theory of Elasticity (McGraw-Hill Book Company, Inc., New York, London, 1934).Google Scholar
25.Treacy, M. M. J., Ebbesen, T. W., and Gibson, J. M., Nature (London) 381, 678 (1996).CrossRefGoogle Scholar
26.Wagner, H. D., Aronhime, J., and Marom, G., Proc. R. Soc. London, Ser. A 428, 493 (1990).Google Scholar