Abstract
The integral transport equation is formulated in terms of the generalized collision probability in a cylindrical lattice cell in one velocity. The anisotropy of the neutron angular distribution and the scattering is considered by representing them with spherical harmonics series respectively. The space dependence of the neutron distribution is taken into account by representing it with a Legendre series in each annular region. The isotropic return condition or white boundary condition is adopted for the generalized collision probability. One group disadvantage factors are calculated for cylindrical lattices in both cases of isotropic and linearly anisotropic scattering using the generalized first-flight collision probability.
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