Paillet, Poncharal, and Zahab Reply:

Paillet, Matthieu; Poncharal, Philippe; Zahab, A.

doi:10.1103/physrevlett.96.039704

Cited by 27 publications

(46 citation statements)

References 4 publications

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“…[7] to the experimental results in Ref. [8,21] shows that the theoretical values of the LO-phonons in semiconducting tubes underestimate the experimental values by ≈10 cm −1 . Therefore we can assign the peaks at 1590 cm −1 and 1581 cm −1 of to the LO and the TO phonon of the semiconducting nanotube.…”

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confidence: 53%

G^– and G⁺ in the Raman spectrum of isolated nanotube: a study on resonance conditions and lineshape

Telg¹,

Fouquet

Maultzsch

et al. 2008

Physica Status Solidi (b)

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We analyze the high‐energy Raman modes, G+ and G–, in a pair of one metallic and one semiconducting nanotube grown across a 100 mm wide slit. By combining Raman resonance profiles of the radial breathing mode and the high‐energy modes, we assign the broad G– peak to a metallic and the G+ peak to a semiconducting nanotube. Considering theoretical predictions we show that both peaks, G– and G+, originate from the LO phonon. The G– peak is the longitudinal mode of the metallic tube; it is broadened and downshifted due to strong electron‐phonon coupling in the metallic nanotube. The G+ peak is due to the longitudinal mode in the semiconducting tube. An asymmetric lineshape of the G– peak agrees with observations of the asymmetry to be an intrinsic feature of metallic nanotubes. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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confidence: 53%

G^– and G⁺ in the Raman spectrum of isolated nanotube: a study on resonance conditions and lineshape

Telg¹,

Fouquet

Maultzsch

et al. 2008

Physica Status Solidi (b)

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“…Current understanding of the photophysical properties of semiconducting carbon nanotubes [2 -7] are based mostly on experimental results for the first (E S 11 ) and second (E S 22 ) optical transitions (S superscript stands for semiconducting, while M will be used for metallic tubes), based on a set of fewer than 40 SWNTs (characterized by their (n, m) indices [1]) in the diameter range from 0.7 to 1.3 nm [8][9][10][11][12][13]. Efforts have been made to extend these results to larger diameter tubes, and to establish the third (E S 33 ) and fourth (E S 44 ) transitions [14,15]. E S 33 and E S 44 are important for the optics of large diameter semiconducting single-wall carbon nanotubes (SWNTs), since for d t > 1:3 nm, E S 22 is already in the infrared range [8][9][10][11].…”

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confidence: 99%

Third and Fourth Optical Transitions in Semiconducting Carbon Nanotubes

et al. 2007

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We have studied the optical transition energies of single-wall carbon nanotubes over broad diameter (0.7-2.3 nm) and energy (1.26-2.71 eV) ranges, using their radial breathing mode Raman spectra. We establish the diameter and chiral angle dependence of the poorly studied third and fourth optical transitions in semiconducting tubes. Comparative analysis between the higher lying transitions and the first and second transitions show two different diameter scalings. Quantum mechanical calculations explain the result showing strongly bound excitons in the first and second transitions and a delocalized electron wave function in the third transition.

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“…The crucial issue here is to go beyond plane capacitor geometry models, 12 which are by essence restricted to semiquantitative estimations. Truly quantitative charge measurements are obtained as follows.…”

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confidence: 99%

“…1͑a͔͒. [12][13][14] After injection, the CNT charge state is then measured by electrostatic force microscopy ͑EFM͒. In this process, the tip is lifted at a distance z Ӎ 100 nm above the sample surface to discard short-range surface forces, and the cantilever resonance frequency shifts are recorded as a probe of electrostatic force gradients acting on the tip biased at a detection voltage V EFM ͓Fig.…”

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confidence: 99%

Inner-shell charging of multiwalled carbon nanotubes

et al. 2008

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The electrostatic properties of individual multiwalled carbon nanotubes ͑MWCNTs͒ have been investigated from charge injection and electrostatic force microscopy experiments. The MWCNT linear charge densities analyzed as a function of the nanotube diameters are found to differ from classical capacitive predictions by one order of magnitude and correspond to the response of MWCNTs in the external electric field generated at the microscope tip. The fact that MWCNTs can hold an out-of-equilibrium charge is attributed to the innershell charging, as a result of the MWCNT finite transverse polarizability and of the intercalation of semiconducting and metallic shells.Single and multiwalled carbon nanotubes ͑CNTs͒ have been extensively studied in the past decade for their onedimensional transport properties. However, the electrostatics of CNTs remains a quite open field of experimental and theoretical investigation in spite of the fundamental interest on it for CNT-based electronic devices such as sensors, field effect transistors, and nonvolatile memories, 1,2 for nanoelectromechanical systems, 3,4 and for dielectrophoresis developments. 5 Recent work on single-walled carbon nanotubes ͑SWCNTs͒ have drawn a border line between classicallike electrostatic properties, e.g., the spatial charge distribution in SWCNTs ͑Ref. 6͒, and quantum properties, such as quantum capacitance effects, 7,8 which highlight the interplay between Coulomb interactions and the SWCNT density of states. However, little experimental work has been performed so far on the electrostatic properties of multiple stacked or rolled graphene layers, in which complex interactions occur due to intershell couplings. [9][10][11] In this article, we investigate the electrostatic response of individual multiwalled nanotubes ͑MWCNTs͒ upon local charging from an atomic force microscopy tip. The measured nanotube linear charge densities are found to deviate from capacitive predictions by more than one order of magnitude. From an analysis of the charge densities as a function of the nanotube diameters, we demonstrate that MWCNTs respond to applied external electric fields and carry an inner-shell charge as a result of their finite transverse polarizability and of the intercalation of semiconducting and metallic shells.Charge injection and electrostatic force microscopy experiments have been conducted using an atomic force microscope ͑multimode, Veeco Instruments͒ operated under dry nitrogen atmosphere. We used Pt-Ir metal-coated cantilevers with spring constant of 1 -3 N / m and typical resonance frequency of 75 kHz. Purified nanotubes grown by chemical vapor deposition were dispersed from dichloromethane solutions on a 200 nm thick silicon dioxide layer thermally grown from a doped silicon wafer. Individual CNTs are localized by tapping-mode topography imaging and charged by local contact with the tip biased at the injection voltage V inj ͓Fig. 1͑a͔͒. 12-14 After injection, the CNT charge state is then measured by electrostatic force microscopy ͑EFM͒. In this process...

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Paillet, Poncharal, and Zahab Reply:

Cited by 27 publications

References 4 publications

G^– and G⁺ in the Raman spectrum of isolated nanotube: a study on resonance conditions and lineshape

G^– and G⁺ in the Raman spectrum of isolated nanotube: a study on resonance conditions and lineshape

Third and Fourth Optical Transitions in Semiconducting Carbon Nanotubes

Inner-shell charging of multiwalled carbon nanotubes

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Paillet, Poncharal, and Zahab Reply:

Cited by 27 publications

References 4 publications

G– and G+ in the Raman spectrum of isolated nanotube: a study on resonance conditions and lineshape

G– and G+ in the Raman spectrum of isolated nanotube: a study on resonance conditions and lineshape

Third and Fourth Optical Transitions in Semiconducting Carbon Nanotubes

Inner-shell charging of multiwalled carbon nanotubes

Contact Info

Product

Resources

About

G^– and G⁺ in the Raman spectrum of isolated nanotube: a study on resonance conditions and lineshape

G^– and G⁺ in the Raman spectrum of isolated nanotube: a study on resonance conditions and lineshape