Radial-breathing-like phonon modes of double-walled carbon nanotubes

Wu, Gang; Zhou, Jian; Dong, Jianji

doi:10.1103/physrevb.72.115418

Cited by 8 publications

(6 citation statements)

References 28 publications

(47 reference statements)

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“…The theory calculation shows that when uniaxial strain increases, the frequencies of RBM mode almost do not change, while the G band are downshifted linearly. 28 Furthermore, the linear shifting rate of Raman modes under uniaxial strain is almost the same for SWNTs with different diameters. 29 Figure 4a are the scanning Raman spectroscopic maps plotting G + band frequency.…”

Section: ■ Results and Discussionmentioning

confidence: 85%

“…In order to further characterize the properties of the suspended SWNTs, the Raman spectra were measured. The theory calculation shows that when uniaxial strain increases, the frequencies of RBM mode almost do not change, while the G band are downshifted linearly . Furthermore, the linear shifting rate of Raman modes under uniaxial strain is almost the same for SWNTs with different diameters …”

Section: Resultsmentioning

confidence: 87%

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Large-Scale Fabrication of Suspended, Aligned, and Strained Single-Walled Carbon Nanotube Networks

et al. 2017

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Large-scale fabrication of suspended singlewalled carbon nanotubes remains a challenge, especially at specific locations and in specific directions. In this work, we demonstrate an effective, fast and large-scale technique to fabricate suspended, strained, and aligned SWNT networks, which is based on a dynamic motion of silver liquid to suspend and align the SWNTs between each two prefabricated palladium patterns in high temperature. The SWNTs are aligned in eight directions: up, down, left, right, upper right, lower right, upper left, and lower left. The simulated calculations show that the driving force leading the silver liquid motion on the substrate is around 0.66 μN. The Raman spectra of the SWNTs network were measured, and the downshift of the G+ band indicates that, for the suspended SWNTs, the uniaxial strain is around 0.13%. This technique could be extended to two-dimensional material systems and open the pathway toward better optoelectronic and nanoelectromechanical systems.

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Section: ■ Results and Discussionmentioning

confidence: 85%

Section: Resultsmentioning

confidence: 87%

Large-Scale Fabrication of Suspended, Aligned, and Strained Single-Walled Carbon Nanotube Networks

et al. 2017

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“…Using the simple analytical model presented in Ref. 94 and by assuming the carbon atoms on the nanotube wall to be distributed continuously, Wu et al 95 investigated the RBLMs of the DWCNTs. Based on the continuum model presented by Wu and Dong, 96 Wu and co-workers 95,96 derived a set of formulae to describe the interaction between an infinite-length nanotube and an atom in any place.…”

Section: Radial Breathing-mode Of Carbon Nanotubesmentioning

confidence: 99%

“…94 and by assuming the carbon atoms on the nanotube wall to be distributed continuously, Wu et al 95 investigated the RBLMs of the DWCNTs. Based on the continuum model presented by Wu and Dong, 96 Wu and co-workers 95,96 derived a set of formulae to describe the interaction between an infinite-length nanotube and an atom in any place. After that, the influence of matrix on the frequencies of RBLMs of MWCNTs was carried out by using a spring coefficient defined by the Winkler model.…”

Section: Radial Breathing-mode Of Carbon Nanotubesmentioning

confidence: 99%

Analysis of radial breathing-mode of nanostructures with various morphologies: a critical review

Ghavanloo

Fazelzadeh

Rafii-Tabar

2015

International Materials Reviews

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Knowledge about the vibrational characteristics of nanostructures is of fundamental interest, since it is a signature of their morphology and it can be utilised to predict their material properties. Radial breathing-mode (RBM) is a special vibrational mode, displayed by the nanostructures, and can be observed experimentally. Over the past two decades, the study of the RBM of the nanostructures has attracted much attention because of its importance in such applications as structural and material property characterisations. This paper reviews recent theoretical and experimental studies on the RBM frequencies of nanostructures with various morphologies. There is a one-to-one correspondence between the geometrical characteristics of the nanostructures and their RBM frequencies. An overview of the current literature discussing the RBM frequency of carbon nanostructures and their geometrical characterisation is presented first. Authors then discuss the theoretical and experimental studies on the breathing-modes of spherical nanoparticles. Different approaches, which have been utilised to obtain the RBM frequency of circular nanowires, are then reviewed. Finally, conclusions and recommendations for further research in this field are provided. To the best of our knowledge, a specialised review addressing the RBM of the nanostructures has not been available so far. This work is likely to fill this gap.

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“…They observed that the change of the transformation time from RBM to CFM due to the variation of the perturbation velocity field. Although some studies of Raman RBM of double-or multi-walled CNTs also have been carried out using continuum mechanics (Wu et al, 2007;Wang & Ru, 2005;Han & Goddard, 2009;Popov & Henrard, 2002) these analytical models were discussed theoretically and there was a lack of experimental investigation. Popov and Henrard (2002) studied the breathinglike phonon modes of MWCNTs using a valence force field model.…”

Section: Introductionmentioning

confidence: 99%

Vibrational Frequencies and Raman Radial Breathing Modes of Multi-Walled Carbon Nanotubes Based on Continuum Mechanics

Natsuki¹,

Melvin²,

Ni³

2013

JMSR

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Carbon nanotube structures correspond to the vibrational frequencies and modes of CNTs. In this study, the vibrational frequencies and the Raman RBM (radial breathing mode) of multi-walled carbon nanotubes (MWCNTs), and carbon nanotubes (CNTs) embedded in elastic medium are simulated based on a continuum mechanics. According to this the theoretical analysis, we can understand how the vibrational modes of CNTs effect the RBM frequency shift. It is found that the vibrational frequency of RBM is complicated due to the van der Waals (vdW) interaction between layers of MWCNTs. The highest RBM frequency of MWCNTs depends mostly on the diameter of the innermost layer, being insensitive to the layer numbers. The analytical approximation offers a useful method for determining precisely the diameter of the MWCNTs

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Radial-breathing-like phonon modes of double-walled carbon nanotubes

Cited by 8 publications

References 28 publications

Large-Scale Fabrication of Suspended, Aligned, and Strained Single-Walled Carbon Nanotube Networks

Large-Scale Fabrication of Suspended, Aligned, and Strained Single-Walled Carbon Nanotube Networks

Analysis of radial breathing-mode of nanostructures with various morphologies: a critical review

Vibrational Frequencies and Raman Radial Breathing Modes of Multi-Walled Carbon Nanotubes Based on Continuum Mechanics

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