the time step, it should be clear that there is an iterative algorithm in place along with various acceleration schemes to improve performance [9]. In some software implementations, the reaction rates based upon the beginning of time step DIF3D solution are used to predict the end of time step state and even this approach can be very accurate given small enough time steps.In this context, the typical usage is to have DIF3D produce the k-eigenvalue solution to the steady state neutral particle diffusion or transport equation at the beginning and end of each time step. Given it computes the mesh-wise flux solution on the homogenized grid, the fuel cycle analysis code (REBUS) can average that solution over the time step and compute the reaction rates of interest in the Bateman equations.