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Modified method of α determination in the 1/E (1+α) epithermal neutron spectrum of reactor.

Van Hung T - J Radioanal Nucl Chem (2010)

Bottom Line: It is based on the Cd-covered and without Cd-covered irradiations of two monitors.This method was applied to determine the α value in the channels of Dalat reactor and the results were compared with those obtained by the other methods.It appeared that the results of the modified method were in quite good agreement with those of other methods.

View Article: PubMed Central - PubMed

Affiliation: Research and Development Center for Radiation Technology, 202A, Street 11, Linh Xuan Ward, Thu Duc District, HoChiMinh City, Vietnam.

ABSTRACT

A modified method has been developed for the α determination in the 1/E (1+α) epithermal neutron spectrum of reactor. It is based on the Cd-covered and without Cd-covered irradiations of two monitors. This method was applied to determine the α value in the channels of Dalat reactor and the results were compared with those obtained by the other methods. It appeared that the results of the modified method were in quite good agreement with those of other methods. It also showed that the modified method was simple in practical uses and a good application in the experiment of α determination in the reactor irradiation channels.

No MeSH data available.


Survey of ζα-values on α when α > 0
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Fig2: Survey of ζα-values on α when α > 0

Mentions: Reviewing Tables 2 and 3, we see that the Q0i(α)-values of 197Au(n, γ)198Au calculated from Eqs. 4 and 5 are in very good agreement with the difference of less than 0.08% in the range of /α/ ≤ 0.2. We can think that they are quite coincident. The uncertainty of the α-values depends only on the differences of the Q0i(α)-values of 94Zr(n, γ)95Zr and 64Zn(n, γ)65Zn calculated from Eqs. 4 and 5, respectively. From Eq. 5, it can be written as:11\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \alpha \, = \, ({ \ln }Q_{0} (\alpha ) - { \ln }Q_{0} )/a{ \ln }\,\overline{{E_{r} }} . $$\end{document}From the error propagation equation, the percentile error or uncertainty due to approximation of Eq. 5 can be written as:12\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \zeta_{\alpha } = {\frac{{\sigma_{\alpha } }}{\alpha }} = {\frac{1}{\alpha }}.{\frac{1}{{a\ln \overline{{E_{r} }} }}}{\frac{{\Updelta Q_{0} (\alpha )}}{{Q_{0} (\alpha )}}} $$\end{document}where σα is absolute uncertainty of α; ΔQ0(α)is the difference of the Q0i(α)-values calculated from Eqs. 4 and 5. From Eq. 5, ζα is dependent upon each isotope chosen as monitor and inverse proportion to α-value. The survey of ζα-values on α, in which /α/ < 0.2, for 94Zr and 65Zn were carried out in Figs. 1 and 2.Fig. 1


Modified method of α determination in the 1/E (1+α) epithermal neutron spectrum of reactor.

Van Hung T - J Radioanal Nucl Chem (2010)

Survey of ζα-values on α when α > 0
© Copyright Policy
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC4514608&req=5

Fig2: Survey of ζα-values on α when α > 0
Mentions: Reviewing Tables 2 and 3, we see that the Q0i(α)-values of 197Au(n, γ)198Au calculated from Eqs. 4 and 5 are in very good agreement with the difference of less than 0.08% in the range of /α/ ≤ 0.2. We can think that they are quite coincident. The uncertainty of the α-values depends only on the differences of the Q0i(α)-values of 94Zr(n, γ)95Zr and 64Zn(n, γ)65Zn calculated from Eqs. 4 and 5, respectively. From Eq. 5, it can be written as:11\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \alpha \, = \, ({ \ln }Q_{0} (\alpha ) - { \ln }Q_{0} )/a{ \ln }\,\overline{{E_{r} }} . $$\end{document}From the error propagation equation, the percentile error or uncertainty due to approximation of Eq. 5 can be written as:12\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \zeta_{\alpha } = {\frac{{\sigma_{\alpha } }}{\alpha }} = {\frac{1}{\alpha }}.{\frac{1}{{a\ln \overline{{E_{r} }} }}}{\frac{{\Updelta Q_{0} (\alpha )}}{{Q_{0} (\alpha )}}} $$\end{document}where σα is absolute uncertainty of α; ΔQ0(α)is the difference of the Q0i(α)-values calculated from Eqs. 4 and 5. From Eq. 5, ζα is dependent upon each isotope chosen as monitor and inverse proportion to α-value. The survey of ζα-values on α, in which /α/ < 0.2, for 94Zr and 65Zn were carried out in Figs. 1 and 2.Fig. 1

Bottom Line: It is based on the Cd-covered and without Cd-covered irradiations of two monitors.This method was applied to determine the α value in the channels of Dalat reactor and the results were compared with those obtained by the other methods.It appeared that the results of the modified method were in quite good agreement with those of other methods.

View Article: PubMed Central - PubMed

Affiliation: Research and Development Center for Radiation Technology, 202A, Street 11, Linh Xuan Ward, Thu Duc District, HoChiMinh City, Vietnam.

ABSTRACT

A modified method has been developed for the α determination in the 1/E (1+α) epithermal neutron spectrum of reactor. It is based on the Cd-covered and without Cd-covered irradiations of two monitors. This method was applied to determine the α value in the channels of Dalat reactor and the results were compared with those obtained by the other methods. It appeared that the results of the modified method were in quite good agreement with those of other methods. It also showed that the modified method was simple in practical uses and a good application in the experiment of α determination in the reactor irradiation channels.

No MeSH data available.