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.

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.

ON INSTABILITY OF SINGLE-WALLED CARBON NANOTUBES WITH A VACANCY DEFECT

2008 ◽  
Vol 08 (02) ◽  
pp. 357-366 ◽  
Author(s):  
Q. WANG ◽  
V. K. VARADAN ◽  
Y. XIANG ◽  
Q. K. HAN ◽  
B. C. WEN
Keyword(s):  
Carbon Nanotubes ◽  
Molecular Dynamics ◽  
Continuum Mechanics ◽  
Elastic Beam ◽  
Single Walled Carbon Nanotubes ◽  
Vacancy Defect ◽  
Technical Note ◽  
Single Walled Carbon ◽  
Walled Carbon Nanotubes ◽  
The Continuum

This technical note is concerned with the buckling of single-walled carbon nanotubes with one atomic vacancy. An elastic beam theory is developed to predict the buckling strain of defective CNTs, and the strain prediction via the continuum mechanics model is verified from comparison studies by molecular dynamics simulations. The results demonstrate the effectiveness of the continuum mechanics theory for longer CNTs. In addition, a local kink is revealed in the morphology of the buckling of shorter defective CNTs via molecular dynamics.

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.

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.

SPECTROELECTROCHEMICAL RECOGNITION OF CHEMICAL DOPANTS IN THE INNER SPACE OF CARBON NANOSTRUCTURES

NANO ◽  
2006 ◽  
Vol 01 (03) ◽  
pp. 219-227 ◽  
Author(s):  
MARTIN KALBÁČ ◽  
LADISLAV KAVAN ◽  
MARKÉTA ZUKALOVÁ ◽  
LOTHAR DUNSCH
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanostructures ◽  
Single Walled Carbon Nanotubes ◽  
The Other ◽  
Characteristic Response ◽  
In Situ Raman ◽  
Potassium Vapor ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

By in situ Raman spectroelectrochemistry the state of chemical dopants in the inner space of potassium vapor treated single-walled carbon nanotubes (SWCNT), double-walled carbon nanotubes (DWCNT) and C 60 fullerene peapods was followed. We show that the spectroelectrochemistry is a method of choice to locate the dopant within carbon nanostructures. The presence of potassium inside the carbon nanostructures was found to be associated with a characteristic response of the tangential (TG) mode of SWCNT to electrochemical doping after treatment of the sample with the water. Our study confirmed the presence of residual potassium in peapods even after treatment with water. On the other hand, potassium was not found in the interior of the water-treated DWCNT and SWCNT.

On the Oscillation Frequency of Ellipsoidal Fullerene–Carbon Nanotube Oscillators

2012 ◽  
Vol 3 (1) ◽  
Author(s):  
R. Ansari ◽  
F. Sadeghi
Keyword(s):  
Oscillation Frequency ◽  
Carbon Nanostructures ◽  
Initial Conditions ◽  
Interaction Force ◽  
Oscillatory Behavior ◽  
Continuum Approximation ◽  
Geometrical Parameters ◽  
System Variables ◽  
Walled Carbon Nanotubes ◽  
Analytical Expressions

There are many new nanomechanical devices created based on carbon nanostructures among which gigahertz oscillators have generated considerable interest to many researchers. In the present paper, the oscillatory behavior of ellipsoidal fullerenes inside single-walled carbon nanotubes is studied comprehensively. Utilizing the continuum approximation along with Lennard–Jones potential, new semi-analytical expressions are presented to evaluate the potential energy and van der Waals interaction force of such systems. Neglecting the frictional effects, the equation of motion is directly solved on the basis of the actual force distribution between the interacting molecules. In addition, a semi-analytical expression is given to determine the oscillation frequency into which the influence of initial conditions is incorporated. Based on the newly derived expression, a thorough study on the various aspects of operating frequencies under different system variables such as geometrical parameters and initial conditions is conducted. Based on the present study, some new aspects of such nano-oscillators have been disclosed.

DESIGN OF A NANOTORI-METALLOFULLERENE LOGIC GATE

2015 ◽  
Vol 57 (1) ◽  
pp. 29-42
Author(s):  
RICHARD K. F. LEE ◽  
JAMES M. HILL
Keyword(s):  
Electric Fields ◽  
Logic Gate ◽  
Single Walled Carbon Nanotubes ◽  
Jones Potential ◽  
Single Walled Carbon ◽  
Lennard Jones ◽  
External Electric Fields ◽  
Four Corners ◽  
Walled Carbon Nanotubes ◽  
Small Voltage

We investigate the mechanics of a nano logic gate, comprising a metallofullerene which is located inside a square-shaped single-walled carbon nanotorus involving non-metallic, single-walled carbon nanotubes with perfect nanotoroidal corners. These are highly novel and speculative nanodevices whose construction, no doubt, involves many technical challenges. The energy for the system is obtained from the 6–12 Lennard-Jones potential with the continuous approximation. Our approach shows that there is not much difference between the energy when the metallofullerene is located in the tubes compared to when it is at the corners, and therefore the metallofullerene may be controlled by a small voltage. By applying two voltage inputs to produce external electric fields, one for the left–right motion and the other for the top–bottom motion, the metallofullerene can be moved to one of the four corners. Assuming that at the four corners there are charge detectors, the proposed device can be designed as a logic gate with different signals corresponding to particular gates.

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