A mathematical model of semiconductor detector gamma-efficiency calibration for rectangular cuboid (brick-shape) sources
Rectangular cuboid (rectangular parallelepiped), i. e., brick-shape sources are not really common in general gamma-spectrometry practice with semiconductor detectors, where axially symmetrical sources prevail. However, in some particular applications, like radioactivity control of food or...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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VINCA Institute of Nuclear Sciences
2018-01-01
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| Series: | Nuclear Technology and Radiation Protection |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1451-3994/2018/1451-39941802139M.pdf |
| _version_ | 1819030544279666688 |
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| author | Mihaljević Nikola N. Jovanović Slobodan I. Dlabač Aleksandar D. Badawi Mohamed S. |
| author_facet | Mihaljević Nikola N. Jovanović Slobodan I. Dlabač Aleksandar D. Badawi Mohamed S. |
| author_sort | Mihaljević Nikola N. |
| collection | DOAJ |
| description | Rectangular cuboid (rectangular parallelepiped), i. e., brick-shape sources
are not really common in general gamma-spectrometry practice with
semiconductor detectors, where axially symmetrical sources prevail. However,
in some particular applications, like radioactivity control of food or
construction materials (for monitoring and regulatory purposes, radiological
emergency preparedness, or in the aftermath of nuclear accidents), brick
shapes may come to significance. In order to simplify routine/repetitive low
activity measurements, it is easier and more practical to measure the
radioactivity of these sources as such, i. e., without transforming them
into “regular” (cylindrical or Marinelli) shapes. This saves considerably on
laboratory time, workforce and consumables-thus eventually cutting the
cost of analysis and improving laboratory performance. In addition,
the accuracy of the analytical results is enhanced, as the
possibilities for systematic errors are reduced. To that aim, in the present
work a mathematical model for brick-source efficiency calibration is
developed. The well known, accurate and widely used efficiency transfer
principle is applied, together with detector efficiency calculations based
on the effective solid angle W concept. For testing purposes, comparisons
are made with previously developed and well established mathematical models
for detector calibration involving axially symmetrical sources
(point, disc, and cylinder). Namely, brick sources were regarded as a
sort of interpolation between the outer and inner cylinder of the same
height, for which efficiencies could be accurately determined by numerical
calculations (software ANGLE). For the sake of completeness, the
equivoluminous cylinders were taken into account as well. Brick shape
sources of various sizes and proportions were examined; when approaching
zero dimensions, results were obtained for point and disc sources. All
calculations were performed in gamma energy range 50-3000 keV. The results
are consistent and logical, with no discrepancies indicating bugs or
systematic errors-thus convincingly confirming the fundamentality and
reliability of the model. The model is about to be incorporated into ANGLE
software as a new functionality, so as to make it available to gamma
spectrometry community. |
| first_indexed | 2024-12-21T06:31:50Z |
| format | Article |
| id | doaj.art-9e140e9938b14abfa73480adc6717d1f |
| institution | Directory Open Access Journal |
| issn | 1451-3994 1452-8185 |
| language | English |
| last_indexed | 2024-12-21T06:31:50Z |
| publishDate | 2018-01-01 |
| publisher | VINCA Institute of Nuclear Sciences |
| record_format | Article |
| series | Nuclear Technology and Radiation Protection |
| spelling | doaj.art-9e140e9938b14abfa73480adc6717d1f2022-12-21T19:12:58ZengVINCA Institute of Nuclear SciencesNuclear Technology and Radiation Protection1451-39941452-81852018-01-0133213914910.2298/NTRP1802139M1451-39941802139MA mathematical model of semiconductor detector gamma-efficiency calibration for rectangular cuboid (brick-shape) sourcesMihaljević Nikola N.0Jovanović Slobodan I.1Dlabač Aleksandar D.2Badawi Mohamed S.3University of Montenegro, Maritime Faculty, Department of Mathematics, Kotor, Montenegro + University of Montenegro, Centre for Nuclear Competence and Knowledge Management, Podgorica, MontenegroUniversity of Montenegro, Centre for Nuclear Competence and Knowledge Management, Podgorica, Montenegro + University of Montenegro, Faculty of Mathematics and Natural Sciences, Department of Physics, Podgorica, MontenegroUniversity of Montenegro, Centre for Nuclear Competence and Knowledge Management, Podgorica, MontenegroBeirut Arab University, Faculty of Science, Department of Physics, Beirut, Lebanon + Alexandria University, Faculty of Science, Physics Department, Alexandria, EgyptRectangular cuboid (rectangular parallelepiped), i. e., brick-shape sources are not really common in general gamma-spectrometry practice with semiconductor detectors, where axially symmetrical sources prevail. However, in some particular applications, like radioactivity control of food or construction materials (for monitoring and regulatory purposes, radiological emergency preparedness, or in the aftermath of nuclear accidents), brick shapes may come to significance. In order to simplify routine/repetitive low activity measurements, it is easier and more practical to measure the radioactivity of these sources as such, i. e., without transforming them into “regular” (cylindrical or Marinelli) shapes. This saves considerably on laboratory time, workforce and consumables-thus eventually cutting the cost of analysis and improving laboratory performance. In addition, the accuracy of the analytical results is enhanced, as the possibilities for systematic errors are reduced. To that aim, in the present work a mathematical model for brick-source efficiency calibration is developed. The well known, accurate and widely used efficiency transfer principle is applied, together with detector efficiency calculations based on the effective solid angle W concept. For testing purposes, comparisons are made with previously developed and well established mathematical models for detector calibration involving axially symmetrical sources (point, disc, and cylinder). Namely, brick sources were regarded as a sort of interpolation between the outer and inner cylinder of the same height, for which efficiencies could be accurately determined by numerical calculations (software ANGLE). For the sake of completeness, the equivoluminous cylinders were taken into account as well. Brick shape sources of various sizes and proportions were examined; when approaching zero dimensions, results were obtained for point and disc sources. All calculations were performed in gamma energy range 50-3000 keV. The results are consistent and logical, with no discrepancies indicating bugs or systematic errors-thus convincingly confirming the fundamentality and reliability of the model. The model is about to be incorporated into ANGLE software as a new functionality, so as to make it available to gamma spectrometry community.http://www.doiserbia.nb.rs/img/doi/1451-3994/2018/1451-39941802139M.pdfgamma spectrometrydetection efficiencydetector calibrationrectangular cuboid sourcemathematical modelnumerical testingapplicability |
| spellingShingle | Mihaljević Nikola N. Jovanović Slobodan I. Dlabač Aleksandar D. Badawi Mohamed S. A mathematical model of semiconductor detector gamma-efficiency calibration for rectangular cuboid (brick-shape) sources Nuclear Technology and Radiation Protection gamma spectrometry detection efficiency detector calibration rectangular cuboid source mathematical model numerical testing applicability |
| title | A mathematical model of semiconductor detector gamma-efficiency calibration for rectangular cuboid (brick-shape) sources |
| title_full | A mathematical model of semiconductor detector gamma-efficiency calibration for rectangular cuboid (brick-shape) sources |
| title_fullStr | A mathematical model of semiconductor detector gamma-efficiency calibration for rectangular cuboid (brick-shape) sources |
| title_full_unstemmed | A mathematical model of semiconductor detector gamma-efficiency calibration for rectangular cuboid (brick-shape) sources |
| title_short | A mathematical model of semiconductor detector gamma-efficiency calibration for rectangular cuboid (brick-shape) sources |
| title_sort | mathematical model of semiconductor detector gamma efficiency calibration for rectangular cuboid brick shape sources |
| topic | gamma spectrometry detection efficiency detector calibration rectangular cuboid source mathematical model numerical testing applicability |
| url | http://www.doiserbia.nb.rs/img/doi/1451-3994/2018/1451-39941802139M.pdf |
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