Analytical Formulae to Calculate the Total Efficiency of an Arbitrarily Positioned Point Source by an Elliptical Cylindrical Detector

Volume: 2 Number: 2 June 20, 2015
Journal of Nuclear Sciences Cover
Journal of Nuclear Sciences
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Analytical Formulae to Calculate the Total Efficiency of an Arbitrarily Positioned Point Source by an Elliptical Cylindrical Detector

Abstract

In this paper, a direct analytical method is presented for calculating the absolute efficiency of an elliptical cylindrical detector in the case of an arbitrarily positioned (above the major axis a) point source. The absolute efficiency is required to determine the activity of an unknown radioactive source, taking into account the
attenuation of the gamma-ray photons. The validity of the derived analytical expressions was successfully confirmed by the comparison with some published data.

Keywords

References

  1. Abbas, M., “A direct mathematical method to calculate the efficiencies of a parallelepiped detector for an arbitrarily positioned point source”, J. Radiat. Phys. Chem.60, 3 (2001a).
  2. Abbas, M., “HPGe detector photopeak efficiency calculation including self-absorption and coincidence corrections for Marinilli beaker sources using compact analytical expressions”, J. Radiat. Phys. Chem. 54, 761 (2001b).
  3. Abbas, M., Selim, Y., “Calculation of relative full-energy peak efficiencies of well-type detectors”, Nucl. Instrum. Methods Phys. Res. A480, 651 (2002).
  4. Abbas, M., Selim, Y., Nafee, S., “A simple mathematical method to determine the efficiencies of log-conical detectors”, J. Radiat. Phys. Chem. 75 (7), 729-736 (2006).
  5. Jiang, S., Liang, J., Chou, J., Lin, U., Yeh, W., "A hybrid method for calculating absolute peak efficiency of germanium detectors", Nucl. Instrum. Methods Phys. Res. A413, 281-292 (1998).
  6. Lippert, J., “Detector-efficiency calculation based on point-source measurement”, Int. J. Appl. Radiat. Isot. 34 (8), 1097-1103 (1983).
  7. Moens, L., Hoste, J., “Calculation of the peak efficiency of high-purity germanium detectors”, Int. J. Appl. Radiat. Isot. 34(8), 1085–105 (1983).
  8. Nakamura, T., Suzuki, T., “Monte Carlo calculation of peak efficiencies of Ge(Li) and pure Ge detectors to voluminal sources and comparison with environmental radioactivity measurement”, Nucl. Instrum. Methods Phys. Res. 205 (1), 211-218 (1983).

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

M. Abbas

T. Ibrahim

M. Sakr

Publication Date

June 20, 2015

Submission Date

September 12, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 2 Number: 2

DOI

https://doi.org/10.1501/nuclear_0000000008

IZ

https://izlik.org/JA28XN94DD

Cite

RIS / Bibtex
APA
Abbas, M., Hammoud, S., Ibrahim, T., & Sakr, M. (2015). Analytical Formulae to Calculate the Total Efficiency of an Arbitrarily Positioned Point Source by an Elliptical Cylindrical Detector. Journal of Nuclear Sciences, 2(2), 11-22. https://doi.org/10.1501/nuclear_0000000008
AMA
1.Abbas M, Hammoud S, Ibrahim T, Sakr M. Analytical Formulae to Calculate the Total Efficiency of an Arbitrarily Positioned Point Source by an Elliptical Cylindrical Detector. Journal of Nuclear Sciences. 2015;2(2):11-22. doi:10.1501/nuclear_0000000008
Chicago
Abbas, M., S. Hammoud, T. Ibrahim, and M. Sakr. 2015. “Analytical Formulae to Calculate the Total Efficiency of an Arbitrarily Positioned Point Source by an Elliptical Cylindrical Detector”. Journal of Nuclear Sciences 2 (2): 11-22. https://doi.org/10.1501/nuclear_0000000008.
EndNote
Abbas M, Hammoud S, Ibrahim T, Sakr M (June 1, 2015) Analytical Formulae to Calculate the Total Efficiency of an Arbitrarily Positioned Point Source by an Elliptical Cylindrical Detector. Journal of Nuclear Sciences 2 2 11–22.
IEEE
[1]M. Abbas, S. Hammoud, T. Ibrahim, and M. Sakr, “Analytical Formulae to Calculate the Total Efficiency of an Arbitrarily Positioned Point Source by an Elliptical Cylindrical Detector”, Journal of Nuclear Sciences, vol. 2, no. 2, pp. 11–22, June 2015, doi: 10.1501/nuclear_0000000008.
ISNAD
Abbas, M. - Hammoud, S. - Ibrahim, T. - Sakr, M. “Analytical Formulae to Calculate the Total Efficiency of an Arbitrarily Positioned Point Source by an Elliptical Cylindrical Detector”. Journal of Nuclear Sciences 2/2 (June 1, 2015): 11-22. https://doi.org/10.1501/nuclear_0000000008.
JAMA
1.Abbas M, Hammoud S, Ibrahim T, Sakr M. Analytical Formulae to Calculate the Total Efficiency of an Arbitrarily Positioned Point Source by an Elliptical Cylindrical Detector. Journal of Nuclear Sciences. 2015;2:11–22.
MLA
Abbas, M., et al. “Analytical Formulae to Calculate the Total Efficiency of an Arbitrarily Positioned Point Source by an Elliptical Cylindrical Detector”. Journal of Nuclear Sciences, vol. 2, no. 2, June 2015, pp. 11-22, doi:10.1501/nuclear_0000000008.
Vancouver
1.M. Abbas, S. Hammoud, T. Ibrahim, M. Sakr. Analytical Formulae to Calculate the Total Efficiency of an Arbitrarily Positioned Point Source by an Elliptical Cylindrical Detector. Journal of Nuclear Sciences. 2015 Jun. 1;2(2):11-22. doi:10.1501/nuclear_0000000008