Abstract. Estimates of the excitation energy, width and sum rule fraction of the collective monopole and quadrupole vibrations indicate that the peak in the 62 A -~/3 MeV region is a superposition of the 0 + and 2 + modes.Experiments on the inelastic scattering of electrons and protons on various target nuclei [-1] have shown a giant resonance with energy around 62 A -1/3 MeV. Angular distributions were consistent with either a 0 + or a 2 + assignment. The form factors of the two multipolarities were found to differ from each other when the beam was polarized. Therefore new experiments have been performed on Ni 5s using a polarized proton beam [-2]. In order to identify this giant resonance we present calculations of the collective 0 + and 2 + vibrations in Ni 58 and compare them with experiment.