Calculation of NaI(Tl) detector full-energy peak efficiency using the efficiency transfer method for small radioactive cylindrical sources

A direct analytical mathematical method is introduced to calculate the efficiency of gamma ray cylindrical detectors. The efficiency expression is deduced through a straightforward mathematical approach. The presented method is based on the accurate analytical calculation of the average pat...

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Main Authors: Gouda Mona M., Badawi Mohamed S., El-Khatib Ahmed M., Hussien Nancy S., Abbas Mahmoud I.
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2016-01-01
Series:Nuclear Technology and Radiation Protection
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/1451-3994/2016/1451-39941602150G.pdf
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author Gouda Mona M.
Badawi Mohamed S.
El-Khatib Ahmed M.
Hussien Nancy S.
Abbas Mahmoud I.
author_facet Gouda Mona M.
Badawi Mohamed S.
El-Khatib Ahmed M.
Hussien Nancy S.
Abbas Mahmoud I.
author_sort Gouda Mona M.
collection DOAJ
description A direct analytical mathematical method is introduced to calculate the efficiency of gamma ray cylindrical detectors. The efficiency expression is deduced through a straightforward mathematical approach. The presented method is based on the accurate analytical calculation of the average path length covered by the photon within the detector's active volume, effective solid angle, and the efficiency transfer method in an integral form, so as to obtain a simple formula for the detection efficiency. In addition, the self-attenuation coefficient of the source matrix, the attenuation factors of the source container (with a radius smaller than the detector radius) and the detector housing materials are also treated by calculating the average path length within these materials. 152Eu aqueous radioactive sources covering the energy range from 121 keV to 1408 keV were used. Remarkable agreement between the measured and the calculated efficiencies was achieved, with discrepancies less than 6 %.
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spelling doaj.art-407636ac137645dcb0d3ae0e20640f1e2022-12-22T03:42:25ZengVINCA Institute of Nuclear SciencesNuclear Technology and Radiation Protection1451-39941452-81852016-01-0131215015810.2298/NTRP1602150G1451-39941602150GCalculation of NaI(Tl) detector full-energy peak efficiency using the efficiency transfer method for small radioactive cylindrical sourcesGouda Mona M.0Badawi Mohamed S.1El-Khatib Ahmed M.2Hussien Nancy S.3Abbas Mahmoud I.4Alexandria University, Faculty of Science, Department of Physics, Alexandria, EgyptAlexandria University, Faculty of Science, Department of Physics, Alexandria, EgyptAlexandria University, Faculty of Science, Department of Physics, Alexandria, EgyptAlexandria University, Faculty of Science, Department of Physics, Alexandria, EgyptAlexandria University, Faculty of Science, Department of Physics, Alexandria, EgyptA direct analytical mathematical method is introduced to calculate the efficiency of gamma ray cylindrical detectors. The efficiency expression is deduced through a straightforward mathematical approach. The presented method is based on the accurate analytical calculation of the average path length covered by the photon within the detector's active volume, effective solid angle, and the efficiency transfer method in an integral form, so as to obtain a simple formula for the detection efficiency. In addition, the self-attenuation coefficient of the source matrix, the attenuation factors of the source container (with a radius smaller than the detector radius) and the detector housing materials are also treated by calculating the average path length within these materials. 152Eu aqueous radioactive sources covering the energy range from 121 keV to 1408 keV were used. Remarkable agreement between the measured and the calculated efficiencies was achieved, with discrepancies less than 6 %.http://www.doiserbia.nb.rs/img/doi/1451-3994/2016/1451-39941602150G.pdfNaI(Tl) scintillation detectorcylindrical sourcefull-energy peak efficiencyself-attenuation factor
spellingShingle Gouda Mona M.
Badawi Mohamed S.
El-Khatib Ahmed M.
Hussien Nancy S.
Abbas Mahmoud I.
Calculation of NaI(Tl) detector full-energy peak efficiency using the efficiency transfer method for small radioactive cylindrical sources
Nuclear Technology and Radiation Protection
NaI(Tl) scintillation detector
cylindrical source
full-energy peak efficiency
self-attenuation factor
title Calculation of NaI(Tl) detector full-energy peak efficiency using the efficiency transfer method for small radioactive cylindrical sources
title_full Calculation of NaI(Tl) detector full-energy peak efficiency using the efficiency transfer method for small radioactive cylindrical sources
title_fullStr Calculation of NaI(Tl) detector full-energy peak efficiency using the efficiency transfer method for small radioactive cylindrical sources
title_full_unstemmed Calculation of NaI(Tl) detector full-energy peak efficiency using the efficiency transfer method for small radioactive cylindrical sources
title_short Calculation of NaI(Tl) detector full-energy peak efficiency using the efficiency transfer method for small radioactive cylindrical sources
title_sort calculation of nai tl detector full energy peak efficiency using the efficiency transfer method for small radioactive cylindrical sources
topic NaI(Tl) scintillation detector
cylindrical source
full-energy peak efficiency
self-attenuation factor
url http://www.doiserbia.nb.rs/img/doi/1451-3994/2016/1451-39941602150G.pdf
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