Continuum Modeling of van der Waals Interaction Force Between Carbon Nanocones and Carbon Nanotubes

2011 ◽  
Vol 2 (3) ◽  
Author(s):  
F. Alisafaei ◽  
R. Ansari ◽  
H. Rouhi
Keyword(s):  
Carbon Nanotubes ◽  
Van Der Waals ◽  
Interaction Force ◽  
Van Der Waals Interaction ◽  
Continuum Modeling ◽  
Jones Potential ◽  
Carbon Nanocones ◽  
Single Walled Carbon ◽  
Lennard Jones ◽  
Walled Carbon Nanotubes

Using the Lennard–Jones potential, continuum modeling of the van der Waals potential energy and interaction force distributions are investigated for the eccentric and concentric single-walled carbon nanocones inside the single-walled carbon nanotubes. Furthermore, a new semi-analytical solution is presented to evaluate the van der Waals interaction of the nanocone located on the axis of the nanotube. Eccentric and concentric configurations of these nanostructures are also investigated to obtain the preferred position of the nanocone inside the nanotubes. Finally, the optimum radius of a carbon nanotube for which the preferred location of carbon nanocones is along the tube axis is found.

Strain and friction induced by van der Waals interaction in individual single walled carbon nanotubes

2007 ◽  
Vol 90 (25) ◽  
pp. 253113 ◽  
Author(s):  
Hyungbin Son ◽  
Georgii G. Samsonidze ◽  
Jing Kong ◽  
Yingying Zhang ◽  
Xiaojie Duan ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Van Der Waals ◽  
Single Walled Carbon Nanotubes ◽  
Van Der Waals Interaction ◽  
Single Walled Carbon ◽  
Walled Carbon Nanotubes

Universal Curves for the van der Waals Interaction between Single-Walled Carbon Nanotubes

Langmuir ◽  
2011 ◽  
Vol 28 (2) ◽  
pp. 1276-1282 ◽  
Author(s):  
Evgeny G. Pogorelov ◽  
Alexander I. Zhbanov ◽  
Yia-Chung Chang ◽  
Sung Yang
Keyword(s):  
Carbon Nanotubes ◽  
Van Der Waals ◽  
Single Walled Carbon Nanotubes ◽  
Van Der Waals Interaction ◽  
Single Walled Carbon ◽  
Walled Carbon Nanotubes

Mechanical and Tribological Properties of Carbon Nanotubes Investigated with Atomistic Simulations

2000 ◽  
Vol 633 ◽  
Author(s):  
Boris Ni ◽  
Susan B. Sinnott
Keyword(s):  
Carbon Nanotubes ◽  
Atomistic Simulations ◽  
Many Body ◽  
Jones Potential ◽  
Diamond Surfaces ◽  
Empirical Potential ◽  
Mechanical And Tribological Properties ◽  
Lennard Jones ◽  
Walled Carbon Nanotubes ◽  
Nanotube Bundle

AbstractAtomistic simulations are used to better understand the behavior of bundles of single- walled carbon nanotubes that have been placed between two sliding diamond surfaces. A many-body reactive empirical potential for hydrocarbons that has been coupled to a Lennard-Jones potential is used to determine the energies and forces for all the atoms in the simulations. The results indicate that the degree of compression of the nanotube bundle between the nanotubes has a significant effect on the responses of the nanotubes to shear forces. However, no rolling of the nanotubes is predicted in contrast to previous studies of individual nanotubes moving on graphite.

scholarly journals A Review of Geometry, Construction and Modelling for Carbon Nanotori

2019 ◽  
Vol 9 (11) ◽  
pp. 2301 ◽  
Author(s):  
Pakhapoom Sarapat ◽  
James Hill ◽  
Duangkamon Baowan
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanostructures ◽  
Single Walled Carbon Nanotubes ◽  
Continuum Approximation ◽  
Interaction Energies ◽  
Jones Potential ◽  
Lennard Jones ◽  
Walled Carbon Nanotubes ◽  
Analytical Expressions ◽  
The Continuum

After the discovery of circular formations of single walled carbon nanotubes called fullerene crop circles, their structure has become one of the most researched amongst carbon nanostructures due to their particular interesting physical properties. Several experiments and simulations have been conducted to understand these intriguing objects, including their formation and their hidden characteristics. It is scientifically conceivable that these crop circles, nowadays referred to as carbon nanotori, can be formed by experimentally bending carbon nanotubes into ring shaped structures or by connecting several sections of carbon nanotubes. Toroidal carbon nanotubes are likely to have many applications, especially in electricity and magnetism. In this review, geometry, construction, modelling and possible applications are discussed and the existing known analytical expressions, as obtained from the Lennard-Jones potential and the continuum approximation, for their interaction energies with other nanostructures are summarised.

Tuning the Shear Modulus of Single-Walled Carbon Nanotube by Feeding Van Der Waals Molecules

2014 ◽  
Vol 625 ◽  
pp. 722-727
Author(s):  
Bin Hao Chen ◽  
Wen Hsuan Chao ◽  
Ren Jye Wu
Keyword(s):  
Carbon Nanotubes ◽  
Nonlinear Oscillations ◽  
Shape Change ◽  
Van Der Waals ◽  
Strain Curve ◽  
Torsional Angle ◽  
Single Walled Carbon ◽  
Linear Elastic ◽  
Oscillation Frequencies ◽  
Walled Carbon Nanotubes

Torsional buckling of single-walled carbon nanotubes filled with light weight molecular via molecular dynamics is reported. The model accounts for the deformation of CNTs, and interactions among gas molecules; between gas and carbon atoms. The effect of particle loading is predicted to significantly change CNT’s critical torsional moment and stiffness. This is therefore an approach by which the torsional mechanical properties and oscillation frequencies of carbon nanotubes may be tuned. Importantly, the predicted changes in torsional siffness are unique relative to conventional linear elastic materials and are indicative of nonlinear oscillations due to nonlinear mechanical effects. CNTs subjects to large deformations reversibly switch into different morphological patterns. Each shape change corresponds to an abrupt release of energy and a singularity in the stress-strain curve. At higher torsional angle, van der Waals (VDW: He, Ar, H2) molecules reveal a stability effect on carbon nanotubes.

FORCE DISTRIBUTION AND OFFSET CONFIGURATION FOR CARBON NANOTUBES

2012 ◽  
Vol 11 (02) ◽  
pp. 1250014 ◽  
Author(s):  
F. ALISAFAEI ◽  
R. ANSARI ◽  
H. ROUHI
Keyword(s):  
Carbon Nanotubes ◽  
Direct Method ◽  
Interaction Force ◽  
Single Walled Carbon Nanotube ◽  
Jones Potential ◽  
Optimum Configuration ◽  
Multi Walled Carbon Nanotubes ◽  
Acceptance Condition ◽  
Walled Carbon Nanotubes ◽  
The Continuum

In this study, a novel semi-analytical approach is presented to evaluate the preferred position of an offset inner single-walled carbon nanotube (SWCNT) with reference to the cross-section of outer one. Moreover, on the basis of the continuum method utilized together with Lennard-Jones potential function, suction energy and acceptance condition for a SWCNT entering the outer one are investigated. Using netting analysis, the optimum configuration is determined to minimize the potential energy. To obtain the nature of interaction force, a universal potential curve is presented for an offset inner tube entering various semi-infinite outer ones. Lastly, based on the direct method, the mechanics of multi-walled carbon nanotubes (MWCNT) is investigated.

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