Amorphous W/Si multilayers, with single layer thicknesses varying betw
een 10 and 100 angstrom, have been prepared by UHV electron beam evapo
ration. The superconducting samples (d(W) < 30 angstrom, 3 K < T(c) <
4.2 K) are characterized by a negative temperature coefficient of the
resistivity. The non-superconducting samples (d(W) > 30 angstrom) have
a positive coefficient. With decreasing temperature, the parallel cri
tical field H(c2 parallel-to)(T) shows a dimensional crossover which d
epends on the ratio between the total multilayer thickness and the in-
plane superconducting coherence length. The amorphous character of the
layers enables one to prepare continuous and smooth W layers with thi
cknesses down to d(W)=10 angstrom. These ultrathin layers give rise to
very high values of the parallel critical fields.