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A Monte Carlo computer simulation of a neutron diffraction experiment is presented which is of particular use for systems where the structure factor modulates considerably. The program has been optimized by forcing successive scattering events to occur within the specimen under study, and by calculating the score into the detector at each scattering point to allow each simulated path to contribute to the detected scattered intensity. A method of determining the multiple scattering correction for time-of-flight diffraction is shown, and the results of such an analysis are presented for a specimen with intense forward angle scattering and strongly varying S(Q).