We present a calculation of the third sound speed C3 of thin He-4 film
s adsorbed on H-2, Li, Mg, graphite and H-2-plated graphite. The resul
ts show a clear correlation of oscillations in C3, with a period of on
e atomic layer, with the layering phenomena observed in adsorption iso
therms. Comparison is made with recent experimental results for helium
films on solid H-2 by Shirron and Mochel and by Brisson, Mester and S
ilvera. The theoretical analysis suggests explanations for disagreemen
ts between different interpretations of data. A standard way of determ
ining the number of so-called inert layers is questioned. Other availa
ble experimental data on graphite and H-2-plated graphite are also dis
cussed.