The superfluidity of He-4 on graphite with various preplatings of HD i
s under investigation using a torsional oscillator. Results for a bila
yer of HD follow a similar pattern to those obtained earlier on pure 4
He films and are consistent with third sound measurements on graphite
plated with a bilayer of hydrogen. In our case tile first He-4 layer s
olidifies, consistent with behaviour observed in NMR studies of He-3 o
n a similarly prepared substrate. At a coverage of 11 nm(-2) there is
the onset of a region in which the transition temperature increases ra
pidly with coverage and the transition itself becomes sharper. At cert
ain coverages pronounced signatures have been observed in the period s
hift and dissipation, which may indicate a further phase transition in
the film at lower temperatures.