DETERMINATION OF RADIOACTIVITY BASED ON UNFOLDED GAMMA SPECTRA USING THE GRAVEL METHOD AND RESPONSE MATRIX FROM MCNP SIMULATION

Lê Quang Vương1, , Nguyen Huynh Duy Khang1, Hoang Duc Tam1, Phan Long Ho2, Tran Thien Thanh3, Chau Van Tao3
1 Ho Chi Minh City University of Education, Vietnam
2 Institute of Public Health in Ho Chi Minh City, Ho Chi Minh City, Vietnam
3 University of Science, Vietnam National University Ho Chi Minh City, Vietnam

Main Article Content

Abstract

This study presents an improved method for gamma-spectrometry analysis, particularly in low-energy regions, by combining the GRAVEL unfolding algorithm with a high-fidelity detector response matrix simulated using the MCNP6 code. The response matrix was constructed for a p-type HPGe detector up to 1 MeV. The method underwent a rigorous validation process using both synthetic spectra and a certified multi-nuclide point source, providing a strong foundation for its reliability. The results demonstrate a significant enhancement in peak separation and activity quantification, with relative deviations from certified activities reduced from as high as 47.8% (direct analysis) to below 4.3% after unfolding. This approach proves highly effective for accurately measuring low-energy and weak gamma emitters.

Article Details

Author Biographies

Lê Quang Vương, Ho Chi Minh City University of Education, Vietnam

Giảng viên

Nguyen Huynh Duy Khang, Ho Chi Minh City University of Education, Vietnam

Khoa Vật lý

Hoang Duc Tam, Ho Chi Minh City University of Education, Vietnam

Khoa Vật lý

References

Baré, J., & Tondeur, F. (2011). Gamma spectrum unfolding for a NaI monitor of radioactivity in aquatic systems: Experimental evaluations of the minimal detectable activity. Applied Radiation and Isotopes, 69(8), 1121-1124. https://doi.org/https://doi.org/10.1016/j.apradiso.2010.11.024
Boukhalfa, S., Ould Mohamed Sidi Mohamed, M., & Khelifi, R. (2021). Monte Carlo simulation of NaI(Tl) detector and GRAVEL deconvolution for biological, geological samples and their dosimetry evaluation. Journal of Instrumentation, 16(09), P09024. https://doi.org/10.1088/1748-0221/16/09/P09024
Byon, J., Park, S., Kim, Y., & Ahn, S. (2022). External exposure specific analysis for radiation worker in reuse of containment building for Kori Unit 1. Nuclear Engineering and Technology, 54(5), 1781-1788. https://doi.org/https://doi.org/10.1016/j.net.2021.11.015
Chen, Y., Chen, X., Lei, J., An, L., Zhang, X., Shao, J.,…Wang, X. (2014). Unfolding the fast neutron spectra of a BC501A liquid scintillation detector using GRAVEL method. Science China Physics, Mechanics & Astronomy, 57(10), 1885-1890. https://doi.org/10.1007/s11433-014-5553-7
Dombrowski, H. (2024). Comparison of the conversion method with gravel unfolding to obtain dose values from photon spectra. Radiation Protection Dosimetry, 200(1), 32-59. https://doi.org/10.1093/rpd/ncad251
Dryak, P., Kovar, P., & Gudelis, A. (2010). Total efficiency of GE detectors—dead layer signal effect. Applied Radiation and Isotopes, 68(7), 1451-1453. https://doi.org/https://doi.org/10.1016/j.apradiso.2009.11.026
Eckert & Ziegler. Mixed nuclide solutions. https://www.ezag.com/products/isotope-products/isotrak-calibration-sources/standardized-solutions/calibrated-solutions/mixed-nuclide-solutions/
GUM. (2008). Evaluation of Measurement Data – Guide to the Expression of Uncertainty in Measurement. JCGM 100:2008, http://www.bipm.org. http://www.bipm.org
He, J.-F., Yang, Y.-Z., Qu, J.-H., Wu, Q.-F., Xiao, H.-L., & Yu, C.-C. (2016). An inversion decomposition method for better energy resolution of NaI(Tl) scintillation detectors based on a Gaussian response matrix. Nuclear Science and Techniques, 27(3), 58. https://doi.org/10.1007/s41365-016-0062-1
Kurniasari, D., Warsono, W., Indryani, N., Usman, M., & Hadi, S. (2021). Simulation of generalized Gamma distribution with maximum likelihood estimation and expectation-maximization algorithm on right censored data type 1. Decision Science Letters, 10, 415-424. https://doi.org/10.5267/j.dsl.2021.1.003
Li, F., Gu, Z., Ge, L., Li, H., Tang, X., Lang, X., & Hu, B. (2019). Review of recent gamma spectrum unfolding algorithms and their application. Results in Physics, 13, Article 102211. https://doi.org/https://doi.org/10.1016/j.rinp.2019.102211
Li, F., Lang, X., Chen, Y., Ge, L., Feng, L., & Li, S. (2019). Evaluation on least square method applied to gamma spectrum de-noising. Journal of Physics: Conference Series, 1423(1), 012002. https://doi.org/10.1088/1742-6596/1423/1/012002
Li, X., Wang, Z., Lv, H., Wei, S., Liu, J., Wang, Y.,…Yang, C. (2020). Measurement of the energy of fast neutrons in the presence of gamma rays using a NaI(Tl) and a plastic scintillator. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 976, 164257. https://doi.org/https://doi.org/10.1016/j.nima.2020.164257
Liu, B., Yang, H., Lv, H., Jing, F., Gao, X., & Yan, M. (2020). A deconvolution method for scintillator gamma-ray spectrum analysis based on convex optimization. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 957, 163399. https://doi.org/https://doi.org/10.1016/j.nima.2020.163399
Loan, T. T. H. (2016). Study on analyzing overlaped peaks using the Gold algorithm of unfolding. Science & Technology Development, 19.
Maestro-32. (2003). Software user's manual vesion 6.
Ménesguen, Y., & Lépy, M. C. (2021). COLEGRAM, a flexible user-friendly software for processing of ionizing radiation spectra. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 1003, Article 165341. https://doi.org/https://doi.org/10.1016/j.nima.2021.165341
Pelowitz, P. (2013). MCNP6TM User's manual, Version 1.0. Los Alamos National Laboratory report LA-CP-13-00634.
PTB. (2004). UMG 3.3, Analysis of data measured with spectrometers using unfolding techniques. https://www.oecd-nea.org/tools/abstract/detail/nea-1665/
Thanh, T. T., Vuong, L. Q., Ho, P. L., Chuong, H. D., Nguyen, V. H., & Tao, C. V. (2018). Validation of an advanced analytical procedure applied to the measurement of environmental radioactivity. J Environ Radioact, 184-185, 109-113. https://doi.org/https://doi.org/10.1016/j.jenvrad.2017.12.020
Trang, L. T. N., Chuong, H. D., & Thanh, T. T. (2019). Efficiency calibration for HPGe detector by Monte Carlo efficiency transfer method. Science & Technology Development Journal - Natural Sciences, 3, 9-17.