Title: Infinite multiplication factor and cross-section sensitivity to weighting spectra and self-shielding methods

Authors: Farrokh Khoshahval

Addresses: Reactor and Nuclear Safety Research School, Nuclear Science and Technology Research Institute (NSTRI), Tehran, Iran

Abstract: Real weighting functions needed for nuclear cross-section generation are problem dependent and should be calculated for each case study. It is an art to build an appropriate guess for within-group flux shape. However, it has been already proved that the shape of weighting spectrum is often enough to calculate the correct group constants. The main goal of the current investigation is to find the answer to the following question: How sensitive are cross-section, infinite multiplication factor and the nuclide concentrations to the applied different weighting functions? Here, the mentioned important neutronic parameters are evaluated versus burn-up for standard TMI1 pin cell problem. Different multi-group libraries are generated using various spectra. The resulted infinite multiplication factor, neutronic concentrations and nuclide concentration are estimated quite well for the benchmark pin cell. Negligible differences are seen for some of the parameters like thermal diffusion coefficient, fast production cross-section and infinite multiplication factor.

Keywords: cross-sections; weighting spectra; pin cell; self-shielding.

DOI: 10.1504/IJNEST.2024.139140

International Journal of Nuclear Energy Science and Technology, 2024 Vol.17 No.1, pp.28 - 48

Received: 12 Dec 2022
Accepted: 07 Mar 2024
Published online: 14 Jun 2024 *

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