TY  - JOUR
T1  - Analytical Formulae to Calculate the Total Efficiency of an Arbitrarily Positioned Point Source by an Elliptical Cylindrical Detector
AU  - Abbas, M.
AU  - Hammoud, S.
AU  - Ibrahim, T.
AU  - Sakr, M.
PY  - 2015
DA  - June
DO  - 10.1501/nuclear_0000000008
JF  - Journal of Nuclear Sciences
PB  - Ankara University
WT  - DergiPark
SN  - 2147-7736
SP  - 11
EP  - 22
VL  - 2
IS  - 2
LA  - en
AB  - In this paper, a direct analytical method is presented for calculating the absolute efficiency of an ellipticalcylindrical detector in the case of an arbitrarily positioned (above the major axis a) point source. The absoluteefficiency is required to determine the activity of an unknown radioactive source, taking into account theattenuation of the gamma-ray photons. The validity of the derived analytical expressions was successfullyconfirmed by the comparison with some published data.
KW  - Analytical formula
KW  - Solid angle
KW  - Elliptical cylindrical detector
KW  - Absolute efficiency
CR  - 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).
CR  - 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).
CR  - Abbas, M., Selim, Y., “Calculation of relative full-energy peak efficiencies of well-type detectors”, Nucl. Instrum. Methods Phys. Res. A480, 651 (2002).
CR  - 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).
CR  - 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).
CR  - Lippert, J., “Detector-efficiency calculation based on point-source measurement”, Int. J. Appl. Radiat. Isot. 34 (8), 1097-1103 (1983).
CR  - Moens, L., Hoste, J., “Calculation of the peak efficiency of high-purity germanium detectors”, Int. J. Appl. Radiat. Isot. 34(8), 1085–105 (1983).
CR  - 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).
CR  - Rieppo, R., “Calculated absolute full-energy peak efficiencies for true coaxial Ge(Li) detector in the photon energy region 0.1-0.3 MeV with different source-to-detector geometries”, Int. J. Appl. Radiat. Isot. 36 (11): 861-865 (1985).
CR  - Selim, Y, Abbas, M., “Source-detector geometrical efficiency”, J. Radiat. Phys. Chem. 44 (1), 1-4 (1994).
CR  - Selim, Y., Abbas, M., “Analytical calculations of gamma scintillators efficiencies. II: total efficiency for wide co-axial disk sources”, J. Radiat. Phys. Chem. 53, 15–19 (2000).
CR  - Selim, Y., Abbas, M., Fawzy, M., “Analytical calculation of the efficiencies of gamma scintillators. Part I: Total efficiency for coaxial disk sources”, J. Radiat. Phys. Chem. 53 (6), 589- 592 (1998).
CR  - Wang, T., Mar, W., Ying, T., Liao, C., Tseng, C., “HPGe detector absolute-peak-efficiency calibration by using the ESOLAN program”, Int. J. Appl. Radiat. Isot. 46 (9), 933–944 (1995).
CR  - Wang, T., Mar, W., Ying, T., Tseng, C., Liao, C., Wang, M., “HPGe detector efficiency calibration for extended cylinder and marinellibeaker sources using the ESOLAN program”, Int. J. Appl. Radiat. Isot. 48(1), 83–95 (1997).
CR  - Yalcin, S, Gurler, O, Kaynak, G, Gundogdu, O., “Calculation of total counting efficiency of a NaI(Tl) detector by hybrid Monte-Carlo method for point and disk sources”, Int. J. Appl. Radiat. Isot. 65, 1179–1186 (2007).
UR  - https://doi.org/10.1501/nuclear_0000000008
L1  - https://dergipark.org.tr/en/download/article-file/20852
ER  -