Ebey, Liu and Vilches (J.Low Temperature Physics, in press) have recen
tly analyzed desorption heat capacity data to determine the binding en
ergy of He atoms on a ''compound'' substrate consisting of one, two or
three layers of H-2 adsorbed on a graphite surface. Using a Hartree m
odel to derive an effective potential, we calculate theoretical bindin
g energies in these cases and find them in good agreement with experim
ental data.