Building upon traditional quantum-chemistry calculations, we have implement
ed an ab initio method to study the electrical transport in nanocontacts. W
e illustrate our technique calculating the conductance of C-60 molecules co
nnected in various ways to Al electrodes characterized at the atomic level.
Central to a correct estimate of the electrical current is a precise knowl
edge of the local charge transfer between molecule and metal which, in turn
, guarantees the correct positioning of the Fermi level with respect to the
molecular orbitals. Contrary to our expectations. ballistic transport seem
s to occur in this system.