The anomalous dispersion of the disorder-induced and the second-order Raman Bands in Carbon Nanotubes

In this work we have studied the dispersion of the disorder-induced (D) and the second-order (G') Raman bands in single wall carbon nanotubes using several laser excitation energies (E laser) in the range 1.5-3.0 eV. An anomalous step-like behavior was observed in the E laser dependence of the G'-band frequency. This result is interpreted as a manifestation of the one-dimensional (1D) behavior of the phonon spectrum in carbon nanotubes.

Authorship

M. A. Pimenta

Universidade Federal de Minas Gerais, Departamento de Física , Belo Horizonte, Minas Gerais, BrazilUniversidade Federal de Minas GeraisBrazilBelo Horizonte, Minas Gerais, BrazilUniversidade Federal de Minas Gerais, Departamento de Física , Belo Horizonte, Minas Gerais, Brazil

E. B. Hanlon

Massachusetts Institute of Technology, George R. Harrison Spectroscopy Laboratory , Cambridge, Massachusetts, USAMassachusetts Institute of TechnologyUSACambridge, Massachusetts, USAMassachusetts Institute of Technology, George R. Harrison Spectroscopy Laboratory , Cambridge, Massachusetts, USA

A. Marucci

Massachusetts Institute of Technology, Department of Physics , Cambridge, Massachusetts, USAMassachusetts Institute of TechnologyUSACambridge, Massachusetts, USAMassachusetts Institute of Technology, Department of Physics , Cambridge, Massachusetts, USA

P. Corio

S. D. M. Brown

S. A. Empedocles

Massachusetts Institute of Technology, Department of Chemistry , Cambridge, Massachusetts, USAMassachusetts Institute of TechnologyUSACambridge, Massachusetts, USAMassachusetts Institute of Technology, Department of Chemistry , Cambridge, Massachusetts, USA

M. G. Bawendi

G. Dresselhaus

Massachusetts Institute of Technology, Francis Bitter Magnet Laboratory , Cambridge, Massachusetts, USAMassachusetts Institute of TechnologyUSACambridge, Massachusetts, USAMassachusetts Institute of Technology, Francis Bitter Magnet Laboratory , Cambridge, Massachusetts, USA

M. S. Dresselhaus

Massachusetts Institute of Technology, Francis Bitter Magnet Laboratory , Department of Electrical Engineering and Computer Science, Cambridge, Massachusetts, USAMassachusetts Institute of TechnologyUSACambridge, Massachusetts, USAMassachusetts Institute of Technology, Francis Bitter Magnet Laboratory , Department of Electrical Engineering and Computer Science, Cambridge, Massachusetts, USA

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Figures

Figures (4)

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Figure 1.
p electron energy bands (top) and high frequency phonon dispersion curves of 2D graphite (bottom).[8, 9] The phonon branch that is strongly coupled to electronic bands in the optical excitation is indicated by a solid curve. The squares represent the experimental data displayed in Fig. 3, and converted according to Eqs. (1) and (2).

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Figure 2.
Second-order Raman spectra of single wall carbon nanotubes for three different laser excitation energies showing the dispersion of the G¢ band. The spectra above 3000 cm^-1 are scaled by a factor of 3.

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Figure 3.
Dependence on the laser excitation energy of the frequency for the dominant second-order G¢ Raman feature for single wall carbon nanotubes (SWNT) and highly oriented pyrolitic graphite (HOPG). The inset gives the dependence of the frequency of the D-band on E_laser for single wall carbon nanotubes.

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Figure 4.
The first-order Raman spectra of SWNTs in the range 1200-1700 cm^-1.

Figure 1. p electron energy bands (top) and high frequency phonon dispersion curves of 2D graphite (bottom).[8, 9] The phonon branch that is strongly coupled to electronic bands in the optical excitation is indicated by a solid curve. The squares represent the experimental data displayed in Fig. 3, and converted according to Eqs. (1) and (2).

Figure 2. Second-order Raman spectra of single wall carbon nanotubes for three different laser excitation energies showing the dispersion of the G¢ band. The spectra above 3000 cm^-1 are scaled by a factor of 3.

Figure 3. Dependence on the laser excitation energy of the frequency for the dominant second-order G¢ Raman feature for single wall carbon nanotubes (SWNT) and highly oriented pyrolitic graphite (HOPG). The inset gives the dependence of the frequency of the D-band on E_laser for single wall carbon nanotubes.

Figure 4. The first-order Raman spectra of SWNTs in the range 1200-1700 cm^-1.

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The anomalous dispersion of the disorder-induced and the second-order Raman Bands in Carbon Nanotubes

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