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The strain energies in straight and bent single-walled carbon nanotubes (SWNTs) are calculated by taking account of the total energy of all the occupied band electrons. The obtained results are in good agreement with previous theoretical…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Zhou Xin , Zhou Jianjun , Ou-Yang Zhong-can

The structures and symmetries of single-walled carbon nanotubes (SWNTs) are introduced in detail. The physical properties of SWNTs induced by their symmetries can be described by tensors in mathematical point of view. It is found that there…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Z. C. Tu , Z. C. Ou-Yang

A simple macroscopic continuum elasticity theory (CET) is used to calculate the structure relaxation of single-wall carbon nanotube (SWNT), an analytic formula is obtained. We also expand an atomic scale three-parameter empirical model [ T.…

Materials Science · Physics 2009-10-31 Xin Zhou , Hu Chen , Jianjun Zhou , Ou-Yang Zhong-can

The intrinsic mechanical strength of single-walled carbon nanotubes (SWNTs) within the diameter range of 0.3-0.8 nm has been studied based on ab initio density functional theory calculations. In contrast to predicting "smaller is stronger…

Materials Science · Physics 2016-01-06 Nguyen Tuan Hung , Do Van Truong , Vuong Van Thanh , Riichiro Saito

We study the effects of covalent functionalization of single wall carbon nanotubes (CNT) on their elastic properties. We consider simple organic molecules -NH, -NH2, -CH2, -CH3, -OH attached to CNTs' surface at various densities. The…

Materials Science · Physics 2017-09-13 Karolina Z. Milowska , Jacek A. Majewski

This paper proposes a bottom-up sequence of modeling steps leading to a nanoscopically informed continuum, and as such macroscopic, theory of single-walled carbon nanotubes (SWCNTs). We provide a description of the geometry of the two most…

Mesoscale and Nanoscale Physics · Physics 2011-11-22 Chandrajit Bajaj , Antonino Favata , Paolo Podio-Guidugli

We report results of theoretical studies on the elastic properties of single-wall nanotubes of the following compositions: C, BN, ${BC}_3$, ${BC}_2{N}$ and ${C}_3{N}_4$. These studies have been carried out using a total energy,…

Materials Science · Physics 2009-10-31 E. Hernandez , C. Goze , P. Bernier , A. Rubio

We report an experimental and a theoretical study of the radial elasticity of multi-walled carbon nanotubes as a function of external radius. We use atomic force microscopy and apply small indentation amplitudes in order to stay in the…

Materials Science · Physics 2015-07-20 Ismael Palaci , Stephan Fedrigo , Harald Brune , Christian Klinke , Michael Chen , Elisa Riedo

The electronic and structural properties of zigzag and armchair single-wall carbon nanotubes (SWCNT) with a single vacancy or two vacancies located at various distances have been obtained within the frame of the Density Function Theory…

Atomic and Molecular Clusters · Physics 2008-07-15 A. Proykova , H. Iliev , Feng Yin Li

Applications based on Single Walled Carbon Nanotube (SWNT) are good example of the great need to continuously develop metrology methods in the field of nanotechnology. Contact and interface properties are key parameters that determine the…

Mesoscale and Nanoscale Physics · Physics 2012-01-23 Julien Buchoux , Ludovic Bellon , Sophie Marsaudon , Jean-Pierre Aimé

This paper is the first one of a series of two articles in which we revisit the optical properties of single-walled carbon nanotubes (SWNT). Produced by rolling up a graphene sheet, SWNT owe their intriguing properties to their cylindrical…

Mathematical Physics · Physics 2018-11-30 Morten Rasmussen , Benjamin Ricaud , Baptiste Savoie

The continuous two-dimensional (2D) elastic model for single-walled carbon nanotubes (SWNTs) provided by Tu and Ou-Yang in [Phys. Rev. B \textbf{65}, 235411 (2003)] is reduced to a one-dimensional (1D) curvature elastic model strictly. This…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Xiaohua Zhou

Elastic radial deformation of multiwall carbon nanotubes (MWNTs) under hydrostatic pressure is investigated within the continuum elastic approximation. The thin-shell theory, with accurate elastic constants and interwall couplings, allows…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Hiroyuki Shima , Susanta Ghosh , Marino Arroyo , Kohtaroh Iiboshi , Motohiro Sato

The dependence of the energy of interwall interaction in double-walled carbon nanotubes (DWNT) on the relative position of walls has been calculated using the density functional method. This dependence is used to evaluate forces that are…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 E. Bichoutskaia , O. V. Ershova , Yu. E. Lozovik , A. M. Popov

We characterize the response of isolated single- (SWNT) and multi-wall (MWNT) carbon nanotubes and bundles to static electric fields using first-principles calculations and density-functional theory. The longitudinal polarizability of SWNTs…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Boris Kozinsky , Nicola Marzari

This paper examines the effect of temperature on the structural stability and mechanical properties of 20 layered (10,10) single walled carbon nanotubes (SWCNTs) under tensile loading using an O(N) tight binding molecular dynamics (TBMD)…

Materials Science · Physics 2009-11-13 G. Dereli , B. Sungu

We theoretically demonstrate that at a finite temperature, an effective wall thickness of a single walled carbon nanotube (SWNT) should be $W=W_s+W_d$, where $W_s$ is the static thickness defined as the extension of the outmost electronic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gang Zhang , Baowen Li

A theory of linearly elastic orthotropic shells is presented, with potential application to the continuous modeling of Carbon NanoTubes. Two relevant features are: the selected type of orthotropic response, which should be suitable to…

Mathematical Physics · Physics 2016-01-20 Antonino Favata , Paolo Podio-Guidugli

Elastic properties of carbon nanotubes and nanoropes are investigated using an empirical force-constant model. For single and multi-wall nanotubes the elastic moduli are shown to be insensitive to details of the structure such as the…

Materials Science · Physics 2009-10-30 J. P. Lu

We develop a continuous theory of low-frequency dynamics for single-walled carbon nanotubes (SWCNTs) weakly interacting with the environment. In the frame of the approach proposed we obtain temperature dependence of SWCNTs specific heat in…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 M. V. Avramenko , I. Yu. Golushko , A. E. Myasnikova , S. B. Rochal
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