The relaxation dynamics of C-60 from high-energy isomers to Buckminste
rfullerene is examined using a master equation approach. An exhaustive
catalog of the C-60 fullerene isomers containing only five- and six-m
embered rings is combined with knowledge of the Stone-Wales rearrangem
ents that connect all such isomers. Full geometry optimizations have b
een performed for all the minima and the transition states which conne
ct them up to six Stone-Wales steps away from the global minimum. A de
nsity-functional tight-binding potential was employed to provide a qua
ntum mechanical description of the bonding. The resulting picture of t
he potential energy landscape reveals a ''weeping willow'' structure w
hich offers a clear explanation for the relatively long relaxation tim
es observed experimentally. We also predict the most important transie
nt local minima on the annealing pathway. (C) 1998 American Institute
of Physics. [S0021-9606(98)50940-3].