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Research Papers

Methane Storage in Spherical Fullerenes

[+] Author and Article Information

James M. Hill

Nanomechanics Group,
School of Mathematical Sciences,

1Corresponding author.

Manuscript received April 21, 2012; final manuscript received August 23, 2012; published online March 26, 2013. Assoc. Editor: Roger Narayan.

J. Nanotechnol. Eng. Med 3(4), 041002 (Mar 26, 2013) (4 pages) doi:10.1115/1.4007521 History: Received April 21, 2012; Revised August 23, 2012

Abstract

In this paper, we investigate methane encapsulation in five spherical fullerenes $C60,C240,C540,C960$, and C1500. We exploit the 6–12 Lennard-Jones potential function and the continuum approximation to model the surface binding energies between methane and spherical fullerenes of varying sizes. Our results show that for a methane molecule interacting inside a spherical fullerene, the binding energies are minimized at locations which become closer to the fullerene wall as the size of the fullerene increases. However, we find that the methane molecule would require an applied external force to overcome the repulsive energy barrier in order to be encapsulated into a C60 fullerene. The present modeling indicates that the optimal minimum energy for methane storage in any spherical fullerene occurs for a fullerene with radius $≃$6.17 Å, with a corresponding potential energy of $≃0.22 eV$ which occurs for a fullerene bigger than a C60 but slightly smaller than a C240 as the ideal spherical fullerene for methane encapsulation. Overall, our results are in very good agreement with other theoretical studies and molecular dynamics simulations, and show that fullerenes might be good candidates for gas storage. However, the major advantage of the approach adopted here is the derivation of explicit analytical formulae from which numerical results for varying physical scenarios may be readily obtained.

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Figures

Fig. 2

Energy profile for CH4 molecule inside spherical fullerenes of varying radii

Fig. 3

Minimum interaction energy versus radius of fullerene

Fig. 1

CH4 interacting with spherical fullerene

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