An Equivalence Relation for a Lattice of Annular Absorbers

M. Segev

doi:dx.doi.org/10.13182/NSE81-A21356

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Home / Publications / Journals / Nuclear Science and Engineering / Volume 77 / Number 2

An Equivalence Relation for a Lattice of Annular Absorbers

M. Segev

Nuclear Science and Engineering / Volume 77 / Number 2 / February 1981 / Pages 229-235

Technical Note / dx.doi.org/10.13182/NSE81-A21356

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An equivalence principle is developed for an infinite array of annular rods. The center of a rod is a moderator characterized by the sticking probability γ₁. Surrounding the center is an annular absorber characterized by the radii R₁ < R₂. The rods are uniformly distributed in an outer moderator characterized by the sticking probability γ₂. The escape cross section for the lattice is The factor a is an adjustable Bell factor.