Abstract
Granular systems built from well-defined Bi clusters with rhombohedral bulk structure show, in contrast to bulk Bi, the occurrence of superconductivity. The experimental facts of a strong size dependence of Tc and an influence of the surrounding matrix or adsorbed gas on normal-state resistivity ρ(0) and Tc can be satisfactorily explained by assuming the occurrence of surface superconductivity due to a strongly increased density of states N(εF) at the cluster surface.