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Research Papers

Mechanics of Ellipsoidal Carbon Onions Inside Multiwalled Carbon Nanotubes

[+] Author and Article Information
F. Sadeghi

 Department of Mechanical Engineering,University of Guilan, P.O. Box 3756, Rasht, Iran

R. Ansari1

 Department of Mechanical Engineering,University of Guilan, P.O. Box 3756, Rasht, Iranr_ansari@guilan.ac.ir

1

Corresponding author.

J. Nanotechnol. Eng. Med 3(1), 011002 (Aug 10, 2012) (9 pages) doi:10.1115/1.4006955 History: Received September 15, 2011; Revised March 16, 2012; Published August 10, 2012; Online August 10, 2012

On the basis of the continuum approximation along with Lennard–Jones potential function, new semi-analytical expressions are presented to evaluate the van der Waals interactions between an ellipsoidal fullerene and a semi-infinite single-walled carbon nanotube. Using direct method, these expressions are also extended to model ellipsoidal carbon onions inside multiwalled carbon nanotubes. In addition, acceptance and suction energies which are two noticeable issues for medical applications such as drug delivery are determined. Neglecting the frictional effects and by imposing some simplifying assumptions on the van der Waals interaction force, a simple formula is given to evaluate the oscillation frequency of ellipsoidal carbon onions inside multiwalled carbon nanotubes. Also, the effects of the number of tube shells and ellipsoidal carbon onion shells on the oscillatory behavior are examined. It is shown that there exists an optimal value for the number of tube shells beyond which the oscillation frequency remains unchanged.

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References

Figures

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Figure 3

Variation of suction energy with the interwall spacing for several ellipsoidal carbon onions (nc=1)

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Figure 4

Variation of acceptance energy with the interwall spacing for several ellipsoidal carbon onions (nc=1)

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Figure 5

Distribution of suction energy versus the interwall spacing for various ranges of nanotube shell numbers (nf=4)

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Figure 6

Variation of interwall spacing for maximizing suction energy with the number of nanotube shells for different ellipsoidal carbon onions

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Figure 7

Variation of maximum frequency with the number of nanotube shells for different ellipsoidal carbon onions (L=60 Å)

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Figure 8

Distributions of van der Waals interaction force and potential energy for different shell numbers of nanotube and ellipsoidal carbon onion

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Figure 1

Geometry of an ellipsoidal fullerene entering a semi-infinite single-walled carbon nanotube from left

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Figure 2

Linear transformation from plane (θ1,θ2) to plane (u,v)

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