Full spectrum analysis with the non-negative least square constraint for laboratory HPGe gamma spectrometry
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In this work, the full spectrum analysis (FSA) method with the non-negative least square (NNLS) constraint and the Kalman filter were developed for the laboratory HPGe gamma spectrometry. The sensitive spectra of 238U, 232Th and 40K for the HPGe gamma spectrometry were derived from measured gamma spectra of calibration soil samples by using this algorithm. The calculated sensitive spectra have all characteristic gamma lines and a good fit in relative comparison with the respective reference spectra of 238U, 232Th and 40K acquired from measuring the RGU1, RGTh1, RGK1 standard samples. These sensitive spectra were then applied in analyzing the activity concentrations of the 238U, 232Th, 40K radionuclides in soil samples collected at the surveyed area. The results of the activity concentrations were in accordance with the ones determined by the window analysis (WA) method with the most deviations of less than 14%. It proved that our analyzing program using the FSA method with the NNLS constraint gives the reasonable solution of the sensitive spectra matrix, even for HPGe detector which has a high energy resolution and 16 K multi-channel analyzer.
KeywordsFull spectrum analysis Non negative least square Window analysis Sensitive spectrum HPGe detector Gamma spectrometry
This research is funded by National Foundation for Science and Technology Development (Nafosted), Vietnam under Grant Number 103.04-2018.61. This research is done at the Nuclear Technique Laboratory (NTLab), VNUHCM - University of Science which was invested by Vietnam National University Ho Chi Minh City, Vietnam.
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