In the frame of finite range density functional (FRDF) theory, we revi
ew the systematics of energetic features of He-4(N) clusters doped wit
h atomic or molecular impurities, as well as the instability scenario
of their collective motions. It is shown that for drops up to N=500, t
he predictions of FRDF theory are coincident with those arising from m
icroscopic many-body calculations that employ variational or diffusion
Monte Carlo methods. For larger drops, the present description predic
ts a smooth approach to zero of the collective energies, a scenario th
at appears to support the most recent experimental data and microscopi
c calculations that demonstrate that the impurity is located within th
e bulk of the drop. (C) 1997 American Institute of Physics.