Amorphous silicon films with thicknesses ranging from about 20 Angstro
m to 2000 Angstrom were evaporated onto silicon substrates. The surfac
e and interfaces were then investigated by specular and diffuse x-ray
scattering experiments in the region of total external reflection. A m
odel of self-affine interfaces was used for the refinement. The rms ro
ughness sigma and the in-plane correlation length xi vs film thickness
follow power laws with exponents of beta=0.1+/-0.05 and 1/z=0.6+/-0.2
, and the average Hurst parameter is h=0.23+/-0.05. The resulting para
meters are compatible with growth models based on the Kardar-Parisi-Zh
ang equation.