Total energy calculations with a local spin density functional have be
en applied to the Stone-Wales transformation in fullerene (C-60). In t
he formation of the almost exclusively observed I-h, isomer of C-60 wi
th isolated pentagons, the final transformation must be from a C-2v is
omer with two pentagon pairs. It was found that the energy barrier for
this rearrangement was substantially reduced in the presence of an ex
tra carbon atom. Such atoms were found to bind loosely, preferentially
to regions in which there were paired pentagons. Pentagon rearrangeme
nts, which are necessary steps in the growth of fullerenes, may theref
ore result from autocatalysis by carbon.