Abstract
A comparison study has been conducted to compare the accuracy of the used methods, the global and local definitions, in order to calculate the cage radii of fullerene, by which the total energies of fullerene have been analyzed. It was found that the local definition method is more accurate in calculating the cage radii of fullerene than the global definition basing on correlation coefficients and standard deviation values in addition to the agreement of the elasticity theory predictions with local definition method results.
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