  The potential energy surface (PES) describing the interactions between
$\mathrm{Li_{2}(^{1}\Sigma_{u}^{+})}$ and $\mathrm{^{4}He}$ and an extensive
study of the energies and structures of a set of small clusters,
$\mathrm{Li_{2}(He)_{n}}$, have been presented by us in a previous series of
publications [1-3]. In the present work we want to extend the same analysis to
the case of the excited $\mathrm{Li_{2}}(a^{3}\Sigma_{u}^{+})$ and of the
ionized Li$_{2}^{+}(X^{2}\Sigma_{g}^{+})$ moiety. We thus show here calculated
interaction potentials for the two title systems and the corresponding fitting
of the computed points. For both surfaces the MP4 method with cc-pV5Z basis
sets has been used to generate an extensive range of radial/angular coordinates
of the two dimensional PES's which describe rigid rotor molecular dopants
interacting with one He partner.
