Abstract: Effects of three different -nucleus potentials, the normal Woods-Saxon (WS), the squared WS and the molecular, have been studied using the differential cross-section data of inelastically scattered -particles on 24Mg and 28Si at 54 and 26 MeV incident energies, respectively. The angular distributions of inelastic scattering to the first 2+ and 4+ states of the two nuclei have been analyzed in terms of a coupled-channel formalism. The macroscopic rotational model using both the squared WS and the molecular potentials can produce satisfactorily a simultaneous description of the elastic data and the inelastic-scattering data of the 2+ and 4+ states for both the targets. The normal WS potential fails to describe the elastic and inelastic data, simultaneously. The effects of second-order deformed potential are also investigated. Microscopic coupled-channel calculations, using the 0+-2+ coupling and the Gaussian -nucleon interaction in the form-factor, have also been performed for the 28Si target using both the squared WS and molecular potentials, the latter one giving a reasonable description of the data.