Abstract
Neutron activation analysis, especially in its \(k_0\) standardization is fairly robust down to the level of accuracy of a few percent, but further improvement is riddled with difficulties, i.e. multiple physical effects having opposite influences and introducing bias and uncertainty in the measured results. It is the aim of this paper to give a comprehensive review of the physical models in \(k_0\)-NAA, by providing exact definitions of the physical quantities, detailing the procedures used for the determination of the physical constants and by discussing the approximations and sources of uncertainty therein. Furthermore, indications are given on how accurately known \(k_0\)-NAA constants can be of value for other applications, namely the measurement and validation of nuclear cross sections.
Similar content being viewed by others
Notes
In energy bin (group) representation, \(K=\phi _{1\,{\mathrm{{eV}}}} / \ln (E_2 / E_1)\), where \(\phi _{1\,{\mathrm{{eV}}}}\) is the group flux in the energy bin around 1 eV and \(E_1\) and \(E_2\) are the corresponding energy bin boundaries.
References
Greenberg RR, Bode P, de Fernandes EAN (2011) Neutron activation analysis: a primary method of measurement. Spectrochim Acta B: Atom Spectrosc 66(34):193–241
Gladney ES et al (1987) Standard reference materials: compilation of elemental concentration data for NBS chemical, biological, geological and environmental SRMs. NIST, Gaithersburg, MD (NBS special publication)
Simonits A, de Corte F, Hoste J (1975) Single comparator methods in reactor neutron activation analysis. J Radioanal Nucl Chem 24(1):31–46
Westcott CH, Walker WH, Alexander TK (1958) Effective cross sections and cadmium ratios for the neutron spectra of thermal reactors. In: Proceedings of the 2nd international conference on peaceful use of atomic energy. Geneva, New York, 16, pp 70–76
Westcott CH (1960) Effective cross section values for well-moderated thermal reactor spectra., AECL-1101Atomic Energy of Canada Limited, Ontario, Canada
van Sluijs R, Jaćimović R, Kennedy G (2014) A simplified method to replace the Westcott formalism in \(k_0\)-NAA using non-1/v nuclides. J Radioanal Nucl Chem 300:539–545
Salgado J, Goncalves IF, Martinho E (2004) Development of a unique curve for thermal neutron self-shielding factor in spherical scattering materials. Nucl Sci Eng 148:426–428
de Corte F (1987) The k\(_{0}\)-standardization method, a move to the optimization of neutron activation analysis. Ph.D. thesis, University of Gent, Belgium
Blaauw M (1996) The derivation use proper, of Stewart’s formula for thermal neutron self-shielding in scattering media. Nucl Sci Eng 124:431–435
el Nimr T, de Corte F, Moens L, Simonits A, Hoste J (1981) Epicadmium neutron activation analysis (ENAA) based on the \(k_0\)-comparator method. J Radioanal Nucl Chem 67(2):421–435
Simonits A, de Corte F, el Nimr T, Moens L, Hoste J (1984) Comparative study of measured and critically evaluated resonance integral to thermal cross-section ratios, part II. J Radioanal Nucl Chem 81(2):397–415
Leszczynski F, Aldama DL, Trkov A (2003) WIMS-D library update. International Atomic Energy Agency. http://www-pub.iaea.org/MTCD/publications/PDF/Pub1264_web.pdf
Trkov A, Žerovnik G, Snoj L, Ravnik M (2009) On the self-shielding factors in neutron activation analysis. Nucl Instrum Method A 610(2):553–565
Moens L, Simonits A, de Corte F, Hoste J (1979) Comparative study of measured and critically evaluated resonance integral to thermal cross-section ratios, part I. J Radioanal Chem 54(1—-2):377–390
Jovanović S, de Corte F, Moens L, Simonits A, Hoste J (1984) Some elucidations to the concept of the effective resonance energy \(\bar{E_r}\). J Radioanal Nucl Chem 82:379–383
Jovanović S et al (1987) The effective resonance energy as a parameter in \((n,\gamma )\) activation analysis with reactor neutrons. J Radioanal Nucl 113(1):177–185
Radulović V, Trkov A, Jaćimović R, Jeraj R (2013) Measurement of the neutron activation constants \(Q_0\) and \(k_0\) for the \({}^{27}{\text{ Al }}(n,\gamma ){}^{28}{\text{ Al }}\) reaction at the JSI TRIGA Mark II reactor. J Radioanal Nucl Chem 268:1791–1800
Jaćimović R, Trkov A, Žerovnik G, Snoj L, Schillebeeckx P (2010) Validation of calculated self-shielding factors for Rh foils. Nucl Inst Method A 622(2):399–402
de Corte F, Simonits A (1989) \(k_0\)-Measurements and related nuclear data compilation for \((n,\gamma )\) reactor neutron activation analysis. J Radioanal Nucl Chem 133:43–130
Trkov A, Molnar GL, Revay Zs, Mughabghab SF, Firestone RB, Pronyaev VG, Nichols AL, Moxon MC (2005) Revisiting the \(^{238}\)U thermal capture cross section and gamma-ray emission probabilities from \(^{239}\)Np decay. Nucl Sci Eng (to be published)
Shibata K et al (2011) JENDL-4.0: a new library for nuclear science and engineering. J Nucl Sci Technol 48:1–30
Chadwick MB et al (2012) ENDF, B-VII.1 nuclear data for science and technology: cross sections, covariances, fission product yields and decay data. Nucl. Data Sheets 112:2887–2996
Mughabghab S (2003) Thermal neutron capture cross sections, resonance integrals and \(g\)-factors. International Atomic Energy Agency, INDC(NDS)-440
de Corte F, Simonits A (2003) Recommended nuclear data for use in \(k_0\) standardization of neutron activation analysis. Atom Data Nuclear Data Tables 85:47–67
Acknowledgments
This work was partly supported by the International Atomic Energy Agency (IAEA) through the Co-ordinated Research Project (CRP) on Reference Database for Neutron Activation Analysis.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Trkov, A., Radulović, V. Nuclear reactions and physical models for neutron activation analysis. J Radioanal Nucl Chem 304, 763–778 (2015). https://doi.org/10.1007/s10967-014-3892-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10967-014-3892-5