Temperature dependence of unshielded cross-sections in multigroup cross-section sets

Research output: Contribution to journalArticle

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Abstract

The self-shielding factor method in the multigroup approach is well known in Reactor Physics. The temperature and background dependent neutron cross-sections are conventionally represented, in a problem-independent multigroup cross-section set, by specifying, for each group and reaction, the unshielded cross-section (at 0 K) along with a set of self-shielding factors for various background cross-sections and temperatures. Usually the unshielded group cross-section is taken for granted to be independent of temperature. This paper illustrates that the temperature dependence of the unshielded cross-section could be significant, depending on the relative positions of the group boundaries and the energies of the resonance peaks, and also that the Doppler changes in the effective cross-sections could be significantly affected by the convention. For internal consistency in a multigroup cross-section set, the definition of self-shielding factor must be relative to the unshielded average at 0 K.

Original languageEnglish
Pages (from-to)1029-1037
Number of pages9
JournalAnnals of Nuclear Energy
Volume27
Issue number11
DOIs
Publication statusPublished - 2000

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Shielding
Temperature
Neutrons
Physics

All Science Journal Classification (ASJC) codes

  • Nuclear Energy and Engineering

Cite this

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title = "Temperature dependence of unshielded cross-sections in multigroup cross-section sets",
abstract = "The self-shielding factor method in the multigroup approach is well known in Reactor Physics. The temperature and background dependent neutron cross-sections are conventionally represented, in a problem-independent multigroup cross-section set, by specifying, for each group and reaction, the unshielded cross-section (at 0 K) along with a set of self-shielding factors for various background cross-sections and temperatures. Usually the unshielded group cross-section is taken for granted to be independent of temperature. This paper illustrates that the temperature dependence of the unshielded cross-section could be significant, depending on the relative positions of the group boundaries and the energies of the resonance peaks, and also that the Doppler changes in the effective cross-sections could be significantly affected by the convention. For internal consistency in a multigroup cross-section set, the definition of self-shielding factor must be relative to the unshielded average at 0 K.",
author = "V. Gopalakrishnan",
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Temperature dependence of unshielded cross-sections in multigroup cross-section sets. / Gopalakrishnan, V.

In: Annals of Nuclear Energy, Vol. 27, No. 11, 2000, p. 1029-1037.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Gopalakrishnan, V.

PY - 2000

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AB - The self-shielding factor method in the multigroup approach is well known in Reactor Physics. The temperature and background dependent neutron cross-sections are conventionally represented, in a problem-independent multigroup cross-section set, by specifying, for each group and reaction, the unshielded cross-section (at 0 K) along with a set of self-shielding factors for various background cross-sections and temperatures. Usually the unshielded group cross-section is taken for granted to be independent of temperature. This paper illustrates that the temperature dependence of the unshielded cross-section could be significant, depending on the relative positions of the group boundaries and the energies of the resonance peaks, and also that the Doppler changes in the effective cross-sections could be significantly affected by the convention. For internal consistency in a multigroup cross-section set, the definition of self-shielding factor must be relative to the unshielded average at 0 K.

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