A self-consistent real-space scheme for calculating the van der Waals
interaction energy between a fullerene molecule and substrate with ato
mic surface corrugation is presented. The interaction of a single full
erene molecule with various substrates is then considered, to determin
e the optimum binding energy, plus the rotational and translational di
ffusion barriers. The van der Waals energy is calculated using linear
response theory to evaluate the dipole-dipole interactions between the
molecule and the substrate. The method is extended beyond the treatme
nt of the substrate as a continuous dielectric medium to a discrete st
ratified substrate including the atomic nature of the surface. For C-6
0 On graphite the fullerene is always preferentially oriented so as to
present a six-membered ring to the surface. The optimum binding energ
y is found to be 0.96 eV, with the molecule positioned so as to contin
ue the natural stacking of the hexagonal planes. For C-60 on NaCl(001)
the most stable position is found to be above a sodium cation with a
five-membered ring oriented towards the surface, and a binding energy
of 0.42 eV. Unlike the situation for graphite, though, the orientation
of the molecule changes with adsorption site. The energy barrier for
rotation of an isolated C-60 molecule is of the order of 0.03 eV on bo
th surfaces. Luthi et al. [Science 266, 1979 (1994)] recently reported
that islands of C-60 deposited on NaCl(001) could be moved by the act
ion of the tip of a scanning force microscope, whereas for C-60 On gra
phite, collective motion of the islands could not be achieved, instead
the islands were disrupted by the tip; These results can be explained
in terms of the relative strengths of the C-60-C-60, C-60-graphite, a
nd C-60-NaCl interactions and the reduction of the rotational barriers
of the interface molecules due to collective effects.