Abstract
By considering the energy multi-group (or energy multi-point) neutron diffusion equation a technique is developed which allows an energy-dependent buckling to be defined. Expanding the scalar flux in terms of the eigensolutions of the Helmholtz equation produces a linear set of strongly coupled differential equations for the various spatial modes in a given energy group. Each mode has an associated buckling which is a function of the particular energy group. The approximation of representing the flux by a single spatial mode produces a simple modification to the usual diffusion equation.
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