Abstract
The velocities of third sound in superfluid4He films containing submonolayer densities of3He are calculated from the variation of film height with the concentration of3He. The present model assumes that the population of the first-excited, transverse, surface state of the3He impurities directly increases the height of the film because these atoms are preferentially found within the film rather than on the surface. The relative populations of the ground-state and the first excited-state are calculated from a many-body, mean-field theory which takes account of the first two transverse branches of the spectra of the states. Intermolecular and one-ripplon exchange interactions are included. Graphs of the variation of third-sound velocity with3He density are given.
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