A hybrid analytical-numerical method for efficiency calculations of spherical scintillation NaI(Tl) detectors and arbitrarily located point sources

Abstract

The present work is essentially concerned to introduce a hybrid analytical-numerical method to calculate the geometrical, the total, and the full-energy peak efficiency of the spherical NaI(Tl) detector for using isotropic radiating g-ray point sources. In addition, it calculates the average path lengths travelled by the photon inside the detector active medium, in order to study the characteristics of the source-to-detector configurations. This method was depended mainly on the calculation of the solid angle subtended by the radioactive point sources, which were situated at various locations from the detector surface and the photons path lengths through the detector active medium. Also, taking into account the attenuation coefficients of all the absorbers between the source and the detector material itself. The obtained results were compared against one data set published to show the method's possibility in the calibration process.