Barry J Cox et al 2007 J. Phys. A: Math. Theor. 40 13197 doi:10.1088/1751-8113/40/44/001
Mechanics of fullerenes oscillating in carbon nanotube bundles
Barry J Cox, Ngamta Thamwattana and James M Hill
Show affiliationsIn this paper, we examine the mechanics of a nano-scaled gigahertz oscillator comprising a fullerene that is moving within the center of a bundle of carbon nanotubes. Although numerical results specifically for a C60 fullerene are presented, the method is equally valid for any fullerene which can be modeled as a spherical molecule. A general definition of a nanotube bundle is employed which can comprise any number of parallel carbon nanotubes encircling the oscillating fullerene. Results are presented which prescribe the dimension of the bundle for any nanotube radius and the optimal configurations which give rise to the maximum suction energy for the fullerene. Prior results for fullerene single-walled nanotube oscillators are employed, and new results are also derived. These include a calculation of optimum nanotube bundle size to be employed for a C60-nanotube bundle oscillator, as well as new analytical expressions for the force and energy for a semi-infinite nanotube and a fullerene not located on the axis of the cylinder.
- PACS
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61.48.-c Structure of fullerenes and related hollow molecular clusters
- MSC
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74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.)
- Subjects
- Dates
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Issue 44 (2 November 2007)
Received 1 August 2007, in final form 28 September 2007
Published 16 October 2007
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Mechanics of fullerenes oscillating in carbon nanotube bundles
Barry J Cox et al 2007 J. Phys. A: Math. Theor. 40 13197
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