The generalized form of the exponential potential is suitably extended to account for a) a realistic realization of interactions at small separations, b) embodying three-body and electronic effects into the interaction through the parameters n and m, respectively, in an alternative and simpler form, c) a model free from the usual fitting procedure. The efficacy of the potential known as extended generalized exponential potential (EGEP) so developed is employed to compute the phonon dispersion in thorium. The predictions show good agreement with experimental findings.