Theoretical studies of films of liquid He-4 adsorbed to strong, plane
substrates indicate that the growth of such films occurs through a seq
uence of first-order phase transitions - ''layering transitions'' - wh
ich are a direct consequence of the short-range, hard-core like intera
ction between individual helium atoms. The present work examines the e
ffects of temperature on these transitions. At given temperatures, the
spinodal points and phase coexistence boundaries are determined for t
he transitions. Increasing the temperature tends to decrease the cover
age spall of the transition regions, signalling the possible existence
of a critical point terminating the two-phase equilibrium.