a) Consider three common types of phonon spectroscopy, Ramanspectroscopy, Brillouin spectroscopy and inelastic neutronscattering. Describe the differences between the three techniquesin terms of the following variables and comment briefly on thelimitations of each technique as a consequence of thesedifferences.
i) The phonon wavevector range probed by each technique.
ii) The range of energy transfers to be probed by eachtechnique.
iii) The momentum (wavenumber) resolution of each technique.