Nuclear magnetic resonance experiments are reported on multilayer He-3
films adsorbed on the surface of graphite. Initially the second layer
exhibits antiferromagnetic exchange, which has been measured as a fun
ction of coverage. Measurements of the nuclear magnetic susceptibility
and resonant frequency for coverages around the third layer promotion
precisely identify the onset of ferromagnetic exchange in the film. T
he evolution of the structure of the film is discussed in the light of
these results and previous heat-capacity and NMR data.