Contribution to the Characterization of Nanotubes Atomic Structure: Breathing Mode of Finite and Infinite Bundle

AIP Conference Proceedings - Electronic Properties of Novel Materials: XIV International Winterschool, Ed. H. Kuzmany, J. Fink, M. Mehring and S. Roth, Vol. 544, p. 266 - 270 (2000)

Contribution to the Characterization of Nanotubes Atomic Structure: Breathing Mode of Finite and Infinite Bundle

L. Henrard, Ph. Lambin, A. Rubio

The Raman spectroscopy is one of the most used tools for the experimental characterization of the atomic structure of bundles of single-wall carbon nanotubes. More particularly, the low frequency range (150-200 cm-1) is dominated by the signature of the resonant fully radial (breathing) mode. A refined evaluation of the parameters that influence the excitation frequencies of these modes is then of primary importance for a reliable interpretation of experimental spectra. In the present contribution, we focus our attention on the effect of the inter-tube interaction. Indeed, we have developed a pair-potential approach for the evaluation of van der Waals interaction between carbon nanotubes in bundles. Starting from a continuum model, we show that the inter-tube modes range from 5 cm-1 to 60 cm-1, depending of the number of tubes in the bundle. We also found that the breathing mode frequency increase by 10% if the nanotubes lie inside a infinite bundle as compared to the isolated tube. The radial-like modes and inter-tube modes of a finite bundles are considered and the transition from an isolated tube to an infinite array of tubes is detailed.

Additional Information

Doi
http://dx.doi.org/10.1063/1.1342515
Notes
Electronic Properties of Novel Materials: XIV International Winterschool, Ed. H. Kuzmany, J. Fink, M. Mehring and S. Roth.

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