  A structural study of the smaller Li$^+$He$_n$ clusters with $n\le30$ has
been carried out using different theoretical methods. The structures and the
energetics of the clusters have been obtained using both classical energy
minimization methods and quantum Diffusion Monte Carlo. The total interaction
acting within the clusters has been obtained as a sum of pairwise potentials:
Li$^+$-He and He-He. This approximation had been shown in our earlier study
\cite{8} to give substantially correct results for energies and geometries once
compared to full ab-initio calculations. The general features of the spatial
structures, and their energetics, are discussed in details for the clusters up
to $n=30$ and the first solvation shell is shown to be essentially completed by
the first ten helium atoms.
