The Determination of k∞ From Measurements on a Small Test Sample in a Critical Assembly

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Abstract. The determination of the infinite multiplication factor, k∞ , from measurement son a small test sample was investigated by both theoretical and experimental techniques. Theoretical relations were developed to calculate the error in the measurement due to a mismatch between the flux ratios in the critical assembly and those of the test sample. Experiments were carried out at the Hanford Laboratory of the General Electric Company with the PCTR, to obtain values of the multiplication factor for comparison with the theoretical results. Calculations with two-group theory gave results that agreed with the experimental results when the test sample, with … continued below

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199 pages.

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Lanning, David Dayton November 1963.

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Abstract. The determination of the infinite multiplication factor, k∞ , from measurement son a small test sample was investigated by both theoretical and experimental techniques. Theoretical relations were developed to calculate the error in the measurement due to a mismatch between the flux ratios in the critical assembly and those of the test sample. Experiments were carried out at the Hanford Laboratory of the General Electric Company with the PCTR, to obtain values of the multiplication factor for comparison with the theoretical results. Calculations with two-group theory gave results that agreed with the experimental results when the test sample, with natural uranium fuel, was surrounded by a buffer region of the same material. When this buffer region was loaded with highly enriched fuel, the errors in the measured values were not predicted by the two-group theory. Three-group theory relations were derived which gave calculated values in agreement with the experimental values and indicated that a mismatch of the epithermal neutron group leads to the measured differences in the value of k∞ for the two buffer types.

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199 pages.

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Digitized from microopaque cards.

Includes bibliographical references (pages A62-A64).

To be presented at the American Nuclear Society Meeting, New York, New York, November 18-21, 1963.

Submitted to the Massachusetts Institute of Technology, Department of Nuclear Engineering, in May 1963 in partial fulfillment of the requirements for the degree of Doctor of Philosophy.

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  • Report No.: CONF-187-108
  • SuDoc Number: Y 3.At 7:22/CONF-187-108
  • Accession or Local Control No: metadc1201738
  • Archival Resource Key: ark:/67531/metadc1201738

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Technical Report Archive and Image Library

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  • November 1963

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  • Aug. 27, 2019, 3:53 p.m.

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  • April 1, 2020, 4:07 p.m.

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Lanning, David Dayton. The Determination of k∞ From Measurements on a Small Test Sample in a Critical Assembly, report, November 1963; Oak Ridge, Tennessee.. (https://digital.library.unt.edu/ark:/67531/metadc1201738/: accessed May 24, 2025), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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