Several possible structures for reaction products of two buckminsterfu
llerene (C60) molecules are presented and discussed. Geometries are op
timized with the MNDO and tight-binding methods, followed by single-po
int energy calculations using the Hartree-Fock self-consistent field p
rocedure and a recently proposed hybrid of Hartree-Fock and density fu
nctional theory. Our results are discussed in the context of recent ex
perimental evidence of the solid-state polymerization of C60 and the c
oalescence of buckminsterfullerene by laser desorption of a film. The
theoretical predictions are consistent with a polymerization process t
hat proceeds through 2 + 2 cycloaddition of fullerene double bonds.