Interface roughness is known to have a large effect on oscillatory mag
netic coupling and giant magnetoresistance in magnetic multilayers, bu
t the origin of this effect is still uncertain. In order to obtain a q
uantitative measure we have used vicinal Cu/Co(100) interfaces with we
ll-defined step spacing and have determined the amplitude of quantum o
scillations in the density of states that are correlated with oscillat
ory magnetic coupling. For a step spacing of 10 angstrom the oscillati
on amplitude decreases by a factor of 1.8. This distance correspond to
the lateral extent of the quantized states in the film.