Using the temperature-dependent elementary excitation of liquid He-4 films
derived within the chain-diagram approximation, the heat capacity data of H
e-4 films adsorbed on an evaporated gold substrate are successfully fitted
for coverages between 0.007 and 0.096 Angstrom (-2) and temperatures betwee
n 0.4 and 2.5 K. In the long-wavelength limit, the spectra deduced from the
data are anomalous and the upward bending becomes stronger as the density
increases. With increasing density, the sound and roton energy gap increase
respectively, while the roton energy gap decreases with increasing tempera
ture. This reduction becomes larger as the coverage decreases. In general,
the elementary excitation spectra deduced from the specific heat data are v
ery similar to those of bulk liquid He-4.