We present diffusion Monte Carlo calculations of low-lying rotational state
s of (HeNSF6)-He-4 which confirm recent experiments suggesting that dopant
molecules trapped inside He-4 clusters behave as free rotors. Analysis of t
he rotational wave functions leads to a clear physical explanation for this
effect based on angular momentum coupling arguments; a fraction of the hel
ium density is found to follow the rotation of the SF6 molecule adiabatical
ly. This leads to a free-rotor spectrum and to a reduction in the effective
rotational constant that is in excellent quantitative agreement with exper
iment.