Approximate intensity solutions for the multiple diffraction of neutrons in a many-beam case

Based on the theory developed for the multiple diffraction of neutrons in mosaic crystals, approximate intensity solutions have been derived allowing the calculation of multiple diffraction intensities when several (n ≥ 4) beams contribute to the phenomenon. The solutions are also appropriate for the calculation of intensities when high absorption and high secondary extinction are present. From these solutions, a computer program (MULTI) has been written in order to simulate neutron multiple diffraction patterns. A brief description of MULTI and an example of its application to the simulation of high-secondary-extinction/high-density neutron multiple diffraction patterns are included.