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 PESs which describe rigid rotor molecular dopants interacting with one He partner.
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