Comparison between spatially dependent embedded self-shielding and subgroup methods

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where i,a,g and i,p are absorption and potential cross sections for nuclide i, respectively, i,g denotes intermediate resonance (IR) parameter, and i,b,g is a background cross section. Equivalence theory enforces that the self-shielded scalar flux is expressed with the absorption (an) and the background cross sections (bn): Notice: This manuscript has been authored by UT-Battelle, LLC, under contract DE-AC05-00OR22725 with the US Department of Energy (DOE). The US government retains and the publisher, by accepting the article for publication, acknowledges that the US government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for US government purposes. DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan (http://energy.gov/downloads/doe-public-access-plan). This research was supported by the US Department of Energy (DOE) Laboratory Directed Research and Development program and the Consortium for Advanced Simulation of Light Water Reactors (http://www.casl.gov), an Energy Innovation Hub (http://www.energy.gov/hubs) for modeling and simulation of nuclear reactors under DOE Contract No. DE-AC05-00OR22725.