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Experimental validation of some thermal neutron self-shielding calculation methods for cylindrical samples in INAA

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Abstract
Neutron self-shielding has been a factor of concern in the history of Instrumental Neutron Activation Analysis. When the sample to be analyzed cannot be made small enough in size and/or sufficiently diluted, this undesired phenomenon must be accounted for. Several analytical, semi-empirical and computational methods for estimating the thermal neutron self-shielding effects have been extensively discussed in the literature and this work aims at the experimental validation of some of these methods by neutron irradiation of cylindrical samples containing strong thermal neutron absorbers. The accuracy and the relative differences in the results between these methods are discussed for cylindrical samples with up to 40% thermal self-shielding, showing that a semi-empirical sigmoidal function can be more accurate in modeling this effect than other exact algorithms, where a maximum 2% relative difference to the experimental values was obtained.
Keywords
Neutron absorption, Neutron scattering, Instrumental Neutron Activation Analysis, Neutron self-shielding, Thermal neutrons

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MLA
Farina, Fulvio, et al. “Experimental Validation of Some Thermal Neutron Self-Shielding Calculation Methods for Cylindrical Samples in INAA.” JOURNAL OF RADIOANALYTICAL AND NUCLEAR CHEMISTRY, vol. 291, no. 2, 2012, pp. 529–34, doi:10.1007/s10967-011-1211-y.
APA
Farina, F., Vermaercke, P., Sneyers, L., & Strijckmans, K. (2012). Experimental validation of some thermal neutron self-shielding calculation methods for cylindrical samples in INAA. JOURNAL OF RADIOANALYTICAL AND NUCLEAR CHEMISTRY, 291(2), 529–534. https://doi.org/10.1007/s10967-011-1211-y
Chicago author-date
Farina, Fulvio, Peter Vermaercke, Liesel Sneyers, and Karel Strijckmans. 2012. “Experimental Validation of Some Thermal Neutron Self-Shielding Calculation Methods for Cylindrical Samples in INAA.” JOURNAL OF RADIOANALYTICAL AND NUCLEAR CHEMISTRY 291 (2): 529–34. https://doi.org/10.1007/s10967-011-1211-y.
Chicago author-date (all authors)
Farina, Fulvio, Peter Vermaercke, Liesel Sneyers, and Karel Strijckmans. 2012. “Experimental Validation of Some Thermal Neutron Self-Shielding Calculation Methods for Cylindrical Samples in INAA.” JOURNAL OF RADIOANALYTICAL AND NUCLEAR CHEMISTRY 291 (2): 529–534. doi:10.1007/s10967-011-1211-y.
Vancouver
1.
Farina F, Vermaercke P, Sneyers L, Strijckmans K. Experimental validation of some thermal neutron self-shielding calculation methods for cylindrical samples in INAA. JOURNAL OF RADIOANALYTICAL AND NUCLEAR CHEMISTRY. 2012;291(2):529–34.
IEEE
[1]
F. Farina, P. Vermaercke, L. Sneyers, and K. Strijckmans, “Experimental validation of some thermal neutron self-shielding calculation methods for cylindrical samples in INAA,” JOURNAL OF RADIOANALYTICAL AND NUCLEAR CHEMISTRY, vol. 291, no. 2, pp. 529–534, 2012.
@article{1985939,
  abstract     = {{Neutron self-shielding has been a factor of concern in the history of Instrumental Neutron Activation Analysis. When the sample to be analyzed cannot be made small enough in size and/or sufficiently diluted, this undesired phenomenon must be accounted for. Several analytical, semi-empirical and computational methods for estimating the thermal neutron self-shielding effects have been extensively discussed in the literature and this work aims at the experimental validation of some of these methods by neutron irradiation of cylindrical samples containing strong thermal neutron absorbers. The accuracy and the relative differences in the results between these methods are discussed for cylindrical samples with up to 40% thermal self-shielding, showing that a semi-empirical sigmoidal function can be more accurate in modeling this effect than other exact algorithms, where a maximum 2% relative difference to the experimental values was obtained.}},
  author       = {{Farina, Fulvio and Vermaercke, Peter and Sneyers, Liesel and Strijckmans, Karel}},
  issn         = {{0236-5731}},
  journal      = {{JOURNAL OF RADIOANALYTICAL AND NUCLEAR CHEMISTRY}},
  keywords     = {{Neutron absorption,Neutron scattering,Instrumental Neutron Activation Analysis,Neutron self-shielding,Thermal neutrons}},
  language     = {{eng}},
  location     = {{College Station, TX, USA}},
  number       = {{2}},
  pages        = {{529--534}},
  title        = {{Experimental validation of some thermal neutron self-shielding calculation methods for cylindrical samples in INAA}},
  url          = {{http://dx.doi.org/10.1007/s10967-011-1211-y}},
  volume       = {{291}},
  year         = {{2012}},
}

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