We have investigated the adsorption of He-4 onto a quench-condensed H-
2 film by means of surface state electrons. Oscillations in the surfac
e state electron conductivity clearly reveal the layerwise character o
f the adsorption. At temperatures below 2K we have observed an anomaly
in the conductivity around the completion of the first monolayer. Thi
s new feature is interpreted as an indication of a liquid-to-solid pha
se transition in the first layer.