Compton scattering and the allied techniques

This chapter places the work presented in the previous chapters on the electron momentum density and band structure in condensed matter in the context of other probes. Specifically, studies by techniques such as positron annihilation, which is traditionally used to reconstruct Fermi surface topology and angle-resolved photo-emission (ARPES) used to reconstruct k-space density of states. Electron scattering coincidence spectroscopy, which reveals the three-dimensional momentum density in gaseous molecules for each shell of electrons, is then compared to Compton coincidence spectroscopy. The insight that is afforded by spin dependent x-ray Compton scattering is compared to resonant x-ray diffraction studies of magnetization. The chapter finishes with a comparison between x-ray Compton scattering studies of electron density distributions and Deep Inelastic Neutron Scattering (DINS) studies of nuclear momentum distributions.