A Mössbauer powder diffractometer was used to measure diffraction patterns from polycrystalline foils of 57 Fe 3 Al. The intensities of Bragg diffractions were measured as a function of the energy of the incident photon. The bcc fundamental diffractions showed large changes in intensity as the incident energy was tuned through the nuclear resonances. These variations of diffraction intensity with incident energy were calculated with reasonable success using a kinematical theory of diffraction that included effects of coherent interference between x-ray Rayleigh scattering and, more importantly for these samples, Mössbauer scattering from nuclei having different hyperfine magnetic fields.