Abstract
A hybrid analytical–numerical method is proposed to determine the Full Energy Peak Efficiency (FEPE) of a NaI bare crystal for a point γ-source in the energy range 48–2040 keV. The efficiency is calculated at all possible source locations with respect to the detector and at a maximum Source-to-Detector (S–D) distance of 50 cm. The method combines an analytical formula used for total efficiency calculation with numerically calculated Peak-to-Total (P/T) ratios. The FEPE efficiencies are calculated by integrating the combined analytical formula. A computer code is written using the C programming language to solve the integration using Simpson’s rule. The calculated values of the FEPE are found to be in agreement with these calculated using the Monte Carlo (MC) method with a maximum relative difference of about 2.5%. The main advantage of the proposed method is the extremely reduced runtime of calculation in comparison with the MC method.
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