We present a theoretical study of the solid-state dimerization of C-60 full
erene, which occurs under pressure through [2+2] cycloaddition of double bo
nds. The possible crystal packings of (C-60)(2) molecules are calculated by
minimization of the lattice energy with a bond charge intermolecular poten
tial model proved successful in the previous C-60 studies. The set of dimer
lattices that were derived from the fee lattice was used to construct the
initial structures for minimization. The final structures found this way, a
lthough belonging to various Space-group symmetries, retain approximately f
ee arrangement of the constituting C-60 cages. On the other hand, the struc
ture obtained from the dimer motif observed in the o-dichlorobenzene solvat
e of (C-60)(2) exhibits a:hcp-like C-60 arrangement. The more energetically
stable hcp-type dimer seems not to form due to the high potential barrier
separating the fee and hcp structures. The relative stability of the predic
ted structures changes significantly under pressure. Some of the dimer stru
ctures are remarkably similar to the respective theoretical monomeric and p
olymeric C-60 structures studied previously. On this basis we propose that
the respective structures are connected states in the possible conversion p
aths from pristine C-60 to its various polymerization products. One of the
dimer structures is geometrically favorable for the formation of the higher
C-60 chain oligomers as well as of the infinite polymer.