The histogram illustrating the binding energy distribution among the 5770 fullerene structures reveals that 80% are within the energy range of -6.85∼-6.72 eV/atom, with an average binding energy of -6.79±0.06 eV/atom (Figure (a)). This indicates that most of the fullerene structures are much more stable than C 20 . Prior research has shown that C 20 can be synthesized in the gas-phase ,