The depolarization ratio of the quadrupolar vibrations and the relative intensity of the symmetric l = 0 and quadrupolar l = 2 acoustic vibrations in the Raman spectra of some dielectric nanocrystals has been calculated. A dipole-induced-dipole model can account for the depolarized spectra from quadrupolar vibrations, but cannot be at the origin of the polarized peak from the symmetric vibration. Bond polarizability seems to be the main physical mechanism at the origin of Raman scattering from these modes. The study indicates that the quadrupolar modes or symmetric modes dominate the spectra when the dipole induced dipole or bond polarizability are more important, respectively. This result explains why semiconductor nanoparticles with covalent bonds show intense symmetric scattering, and fluoride crystals with ionic bond show Raman scattering from quadrupolar modes, and why in oxide crystals the two modes show comparable Raman activity. A comparison of the spectra of titania, zirconia, and hafnia nanocrystals offers further support to the model. Low-frequency Raman scattering is a widely used experimental technique for the study of the vibrational dynamics of metallic, semiconductor or dielectric nanoclusters, usually embedded in a glass. 1-9 Most theoretical approaches for the calculation of the acoustic vibrational dynamics of spheroidal clusters are based on the work of Lamb, which found the vibrations of a free homogeneous sphere. 10 The modes are classified in torsional and spheroidal, both labeled by three indices ͑lmn͒, which describe the angular ͑lm͒ and radial ͑n͒ dependence of the displacements. As shown by Duval on the basis of simple symmetry arguments, only the spheroidal symmetric ͑l =0͒ and quadrupolar ͑l =2͒ spheroidal modes are Raman active. 11 Furthermore, the l = 0 modes give a polarized Raman spectrum, whereas the l = 2 modes give depolarized spectra, allowing to distinguish the nature of the vibrations by a comparison of the VV and HV spectra. Recently, a paper appeared with the claim that the l = 0 and l = 2 spheroidal modes are not Raman active because of an odd displacement field. 12 This wrong criterium does not consider that even modes have usually odd displacements, as for example, the vibration of the oxygen molecule or the symmetric stretching of the CO 2 molecule, which are Raman active even modes, having odd displacements. In any case, the explicit calculation of the average strain starting from the potential, deriving the displacement and again deriving the strain components, shows that only the l = 0 and l = 2 spheroidal modes are Raman active. 13 There are no general rules that indicate both the relative intensity of the symmetric and quadrupolar Raman peaks, appearing in the VV spectrum, or the depolarization ratio DR 2 = I HV / I VV for the quadrupolar modes. In fact, in some systems as silver, gold and PbF 2 , the quadrupolar vibrations dominate the Raman spectrum, in other systems, as CdS, Si, Ga 2 O 3 , and HfO 2 , the symmetric vibrations dominate. [3][4][5][6]8,9 In TiO 2 ...