Nanotubes vibrational properties

Zhou, J. and Dong, J. (2007) Vibrational properties of single-walled gold nanotubes from first principles. Physical Review B Condensed Matter, 75, 155423-1-155423-7. 

The first measurements of nanotube mechanical properties were performed on multiwalled nanotubes (MWNTs) using transmission electron microscopy (3). This was achieved by analyzing the amplitude of thermal vibrations of the nanotubes. This measurement has been followed by a number of others, either on MWNTs (4-6),... 

Li et al. attempted to verify the results of Cheng and coworkers by carrying out similar LDA-DFT calculations, but on a slightly different system [83]. Li et al. generated distorted nanotube structures using an empirical many-body potential developed by Brenner [94]. This potential is known to reproduce the elastic and vibrational properties of SWNTs with reasonable accuracy [95]. They then... 

In the field of nanoscale materials, SIESTA has probably made its largest impact in the study of carbon nanotubes. This is a field which has captivated the attention of researchers for their unusual electronic and mechanical properties. Simulation and theory have played a major role, often providing predictions that have guided the way for experimental studies. Work done with SIESTA has spanned many aspects of nanotube science vibrational properties [239-241], electronic states [242-246] (including the effect of lattice distortions on the electronic states [247-250]), elastic and plastic properties [251-254], and interaction with other atomic and molecular species [255-259]. Boron nitride nanotubes have also received some attention [260, 261]. 

Vibrational Properties of Composites Based on Conducting Polymers and Carbon Nanotubes... 

Figure 5.4 Raman spectra (Xf c= 1064 nm) of PPY/SWNT composites obtained by electropolymerization ofpyrrole on a SWNT film in HCI 0.5 M. Curve 1 corresponds to the SWNT film Raman spectrum. Curves 2-6 show the evolution of the Raman spectrum after 6, 2, 25, 50, and 100 cycles, respectively, carried out in the potential range (- -100 - -800) m V vs. SCE with a sweep rate of 100 mV s Curve 7 corresponds to the composites described by curve 6 after interaction with NH4OH 1 M solution. (Reprinted with permission from Diamond and Related Materials, Electrochemical and vibrational properties of single-walled carbon nanotubes in hydrochloric acid solutions by 5. Lefrant, M. Baibarac, I. Baltog et al., 14, 3-7, 873-880. Copyright (2005) Elsevier Ltd)...

S. Lefrant, M. Baibarac, I. Baltog, J. Y. MeveUec, C. Godon, and O. Chauvet, Electrochemical and vibrational properties of single-waUed carbon nanotubes in hydrochloric acid solutions. DiamondRel. Mater., 14, 873-880 (2005). 

Fakhrabadi Mir Masoud Seyyed, Amini Ali, Rastgoo Abbas. (2012). Vibrational Properties of Two and Three Junctioned Carbon Nanotubes. Comput Mater. Sci., 65, 411-425. 

Zaidi B, Bouzayen N, Wery J, Alimi K. Annealing treatment and carbon nanotubes concentration effects on the optical and vibrational properties of single walled carbon nanotubes functionalized with short oligo-n-vinyl carbazole. Mater Chem Phys 2011 126(l-2) 417-23. 

Gao, G. Cagin, T. Goddard, W.A., III. Energetics, structure, mechanical and vibrational properties of single-walled carbon nanotubes. Nanotechnology 1998, 9, 184-191. 

Konduri, S., Mukherjee, S. Nair, S. (2006) Strain energy minimum and vibrational properties of single-walled aluminosilicate nanotubes. Physical Review B, 74, 033401. 

Abstract—The fundamental relations governing the geometry of carbon nanotubes are reviewed, and explicit examples are pre.sented. A framework is given for the symmetry properties of carbon nanotubes for both symmorphic and non-symmorphic tubules which have screw-axis symmetry. The implications of symmetry on the vibrational and electronic structure of ID carbon nanotube systems are considered. The corresponding properties of double-wall nanotubes and arrays of nanotubes are also discussed. 

This journal issue features the many unusual properties of carbon nanotubes. Most of these unusual properties are a direct consequence of their ID quantum behavior and symmetry properties, including their unique conduction propertiesjll] and their unique vibrational spectra[8]. 

The mechanical properties of the inorganic nanotubes have only been investigated to a relatively small extent. The Young s modulus of multiwall BN nanotubes was measured using the vibrational method within a TEM (17) and was found to be 1.2 TPa, which is comparable to the values measured for carbon nanotubes. The Young s modulus of the b-P nanotubes was calculated (88a). The observed value, 300 GPa, is some 25% of the Young s modulus of carbon nanotubes. The Poisson ratio of b-P nanotubes was calculated to be 0.25 in this work. 

G. Chiarello et al., Vibrational and electronic properties of hydrogen adsorbed on single-wall carbon nanotubes. Phys. Rev. B 69, 153409 (2004)... 

Whatever the nanotube production method, understanding the properties of materials filled with nanotubes requires the knowledge of the nanotube properties. As a consequence, many efforts were made to experimentally measure the nanotube Young modulus and intrinsic conductivity. Fortunately in TEM, it was observed that the nanotubes were vibrating when clamped at one end and free at the other one (see Figure 3.6). Thus, the measurement of the mean-square vibration amplitude in function of the temperature allowed the determination of the Young modulus (higher than 1 TPa for bundles of SWNTs) (51). 

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