Abstract

Data are reported for numerical simulations of the triple differential ( gamma ,e gamma ) cross-section for inelastic X-ray photon scattering with coincident analysis of recoil electrons from metal foils and thin crystals. Preliminary measurements and calculations have shown that the cross-section is sensitive to the three-dimensional electron momentum density distribution and Fermi surface of the target. These simulations show that a useful signal carried by unscattered recoil electrons is produced from a region near the back of the target and sits on a homogeneous background of multiply scattered electrons. Even for thick samples this background remains sufficiently low due to saturation scattering of the emergent electrons for the umklapp Fermi surfaces in transition metals to be observable with only moderate requirements in statistical accuracy. The present work examines the experimental triple differential cross-section for pseudo-single-crystal targets of Cu and details the resolution and sensitivity of the technique to umklapp regions of the Fermi surface. Figures are presented for the feasibility of measurements at the high-energy beamlines of various synchrotron laboratories.

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