Energy-dispersive measurements of Compton-scattered X-rays for analyses have become important with the development of high-efficiency, high-energy-resolution detectors for 50-200 keV X-rays. The Compton-scattered X-ray peak is an inherently broad peak resulting in part from the momentum distribution of the target electrons, referred to as the Compton profile. Hence, information from the width of the Compton peak can be used to study the momentum distribution. The actual peak width also depends on geometrical and attenuation effects. We have begun to assess the geometrical effects and present some of the results.