Abstract
The solution to the diffusion equation can be expressed by plane waves in a homogeneous region. The symmetry of the region can help in developing solutions for hexagonal volumes (nodes). By means of these two techniques certain problems of reactor physical calculations are discussed. The first problem is the determination of the response matrix in a homogeneous node. Analytical solutions are provided in two and three dimensional hexagonal nodes. To test numerically determined response matrices, and to establish criteria for an equivalent homogeneous hexagonal node, a relationship is established among the divers response matrices connecting face averaged fluxes to volume averaged fluxes or face averaged net currents. Finally, a generalization of the buckling method to nonuniform lattices is given.
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