Title

New mathematical approach to calculate the geometrical efficiency using different radioactive sources with gamma-ray cylindrical shape detectors

Document Type

Article

Abstract

The geometrical efficiency of a source-to-detector configuration is considered to be necessary in the calculation of the full energy peak efficiency, especially for NaI(Tl) and HPGe gamma-ray spectroscopy detectors. The geometrical efficiency depends on the solid angle subtended by the radioactive sources and the detector surfaces. The present work is basically concerned to establish a new mathematical approach for calculating the solid angle and geometrical efficiency, based on conversion of the geometrical solid angle of a non-axial radioactive point source with respect to a circular surface of the detector to a new equivalent geometry. The equivalent geometry consists of an axial radioactive point source with respect to an arbitrary elliptical surface that lies between the radioactive point source and the circular surface of the detector. This expression was extended to include coaxial radioactive circular disk source. The results were compared with a number of published data to explain how significant this work is in the efficiency calibration procedure for the γ-ray detection systems, especially in case of using isotropic radiating γ-ray sources in the form of point and disk shapes.

Publication Date

6-1-2020

Faculty

Faculty of Applied Health Sciences Technology

Subject Area

Physical Sciences, General Energy

Indexed in Scopus

yes

Indexed in Web Of Science

yes

DOI

https://doi.org/10.1016/j.net.2019.11.022

Volume

52

Keywords

Elliptical surface and cylindrical detector, Geometrical efficiency, Solid angle

ISSN

17385733

eISSN

2234358X

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