FRACTAL MECHANICS OF HYDROGEN STORAGE IN THE BUNDLE OF CARBON NANOTUBES

Fractal represents the integration of mathematics and aesthetics, and has been widely used in many fields. The bundle of carbon nanotubes with the fractal character is proposed in this paper, and is applied to hydrogen storages. It is shown that the fractal bundle of carbon nanotubes provide a higher hydrogen storage than that of common bundles. The fractal bundle with only one hierarchal level of self-similarity usually provides the optimal volume density of hydrogen storages. And the fractal structure composed of 7 sub-structures is optimal for hydrogen storages.