The gamma-ray spectrometry using long run used hyper pure germanium(HPGe) detector needs a stringent full energy peak(FEP) efficiency calibration for environmental radioactivity measurements. The FEP efficiency calibration were carried out using the complementary methods like analytical estimations and Monte Carlo(MC) simulations. In our work, for the analytical estimations, the relative deviation of the theoretical results with that of experimental FEP efficiency was found to be less than 6%. But in the case of MC methodologies, an overall estimated standard deviation of 5% could be achievable only with the optimized geometry of the long run used germanium detector for low-activity environmental measurements.
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