First-principles pseudopotential calculations were carried out to eval
uate barrier heights during the process of fragmentation of the perfec
t C-60 into the perfect C-58 and the C-2. Three important paths were t
aken into account: (i) the perfect C-60 --> a defect C-58 + C-2 --> th
e perfect C-58 + C-2 (removal of single-bonded two carbon atoms), (ii)
the perfect C-60 --> a defect C-58 + C-2 --> a defect C-58 + C-2 -->
the perfect C-58 + C-2 (removal of double-bonded two carbon atoms), an
d (iii) the perfect C-60 --> a defect C-60 --> the perfect C-58 + C-2.
The third process is energetically favored.