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An explicit, analytical calculation of homogenized cell parameters has been developed for centrally symmetric cells or supercells. For every principal direction, a set of one-directional (noneigenvalue) calculations driven by neutrons injected from outside generate transmission/reflection matrices from which diffusion coefficient and cross-section matrices, generally full, are obtained analytically. The analytical calculation of the homogenized parameters is carried through for two different angular distributions of the injected neutrons (generic, P₁) and for two mesh structures (ultrafine, 1 mesh/cell). Reaction-rate matching cross-section matrices are also obtained and are shown to be related to the conventional edge-flux normalized cross sections. Two test problems, covering both heavy water and light water lattices, show the superiority of the homogenized diffusion theory (HDT) parameters over the traditional ones: In the light water lattice problem, the HDT constants perform even better than analogous constants generated by other authors.