“…As has been presented in the study of C 60 and He@C 60 [1,2], the discovery of buckminsterfullerene [3] and carbon nanotubes [4][5][6] encouraged a broad interest in the study of carbon-based nanocage structures, such as nanotubes [4][5][6], fullerene clusters [7][8][9][10][11][12], nanocapsules [13,14], nanopolyhedra [15], cones [16,17], cubes [18], polyhedra spheres [19] and carbon onions [20]. These structures have been considered as important building blocks for nanotechnology [21,22].…”