Abstract
The optimal or lowest energy configuration of two carbon nanotori is investigated. With the assumption that the tori are symmetrically situated and parallel with the centres lying on their common axis, the interaction energy between the two tori is evaluated using the continuum approximation and the Lennard-Jones potential function. This mathematical modelling approach provides a fast and accurate computation as compared to other simulation methods. The numerical results obtained determine the most stable configuration corresponding to the minimum energies for five different sized tori, and a relation between the major and minor radii of the tori and the equilibrium position is demonstrated. The interaction energies between two nanotori determined here might be utilised to model many promising devices for future developments in nano and biotechnology.
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