Development of an artificial neural network model for rapid determination of NaOH solution concentration based on the transmission spectrum of low-energy gamma rays at 59.54 keV

Nguyen Thanh Dat1,
1 Khoa Vật lý - Đại học Sư phạm TP. HCM

Main Article Content

Abstract

This work presents a new approach for rapidly determining the concentration of NaOH solutions by measuring the attenuation of a low-energy 59.54 keV γ-ray beam emitted from a 241Am source and using an artificial neural network trained directly on raw spectral features. First, Monte Carlo simulations configured with the exact experimental geometry including a NaI(Tl) detector recording gamma ray transmission spectra through NaOH solutions of varying concentration are used to generate spectral data. Then these spectral data are directly extracted without any intermediate preprocessing to train and optimize a feed forward artificial neural network (ANN).  The predictive performance of the optimized network is benchmarked against a conventional calibration curve (CF) that relates the transmission ratio (ln R) between water and NaOH solutions to their concentrations. The obtained results show that the ANN model achieves an average deviation of less than 3.0% from reference concentrations across the tested range, whereas the calibration curve yields deviations above 6,0%. In the low-concentration region (C = 5.0%), the ANN achieves a 2.5% deviation, markedly better than the approximately 12.6% deviation of the CF method. The findings suggest that integrating low-energy γ-ray transmission measurements with neural network spectra presents a promising method for high-precision monitoring of alkaline solutions, which may also be extended to another type of solution.

Article Details

References

Dai, F., Zhuang, Q., Huang, G., Deng, H., & Zhang, X. (2023). Infrared spectrum characteristics and quantification of OH groups in coal. ACS omega, 8(19), 17064-17076. https://doi.org/10.1021/acsomega.3c01336
Dorn, M., Kareth, S., Weidner, E., & Petermann, M. (2024). Electrical conductivity of lithium, sodium, potassium, and quaternary ammonium salts in water, acetonitrile, methanol, and ethanol over a wide concentration range. Journal of Chemical & Engineering Data, 69(4), 1493-1502. https://doi.org/10.1021/acs.jced.3c00691
Goorley, T., et al. (2012). Initial MCNP6 release overview. Nuclear technology, 180(3), 298-315. https://doi.org/10.13182/NT11-135
Huynh, D. C., Nguyen, Q. H., Nguyen, T. M. L, Vo, H. N., Tran, T. T., 2019. Validation of gamma scanning method for optimizing NaI(Tl) detector model in Monte Carlo simulation. Appl. Radiat. Isot. 149, 1–8. https://doi.org/https://doi.org/10.1016/j.apradiso.2019.04.009
Huynh, C. D., Truong, S. T., Le, T. T. N., Nguyen, L. T., & Hoang, T. D. (2021). The first result in the determination of the percentage concentration of sulfuric acid solution based on the gamma transmission technique with an energy of 662 ke. Science & Technology Development Journal: Natural Sciences, 5(2), 1179-1188. https://doi.org/10.32508/stdjns.v5i2.1010
Nguyen, T. D., Hoang, T. K. T., & Hoang, D. T. (2024). Determining the concentration of base solution based on gamma transition technique combined with Monte Carlo simulation and artificial neutral network: preliminary results. HCMUE Journal of Science, 21(1), 162. https://doi.org/10.54607/hcmue.js.21.1.3925(2024)
Nguyen, T. T. L., Nguyen, H. D. K., Huynh, D. C., Tran, T. T., Huynh, T. P., & Hoang, D. T. (2024). Determining the thickness of a thin aluminum sheet using the transmission measurement of X-rays with varying energies: A comparative analysis between calibration curve fitting and artificial neural network approaches. Nucl. Instrum. Methods Phys. Res. A., 1068, 169740. https://doi.org/10.1016/j.nima.2024.169740
Perry, R.H., Green, D.W., Maloney, J.O., 1997. CHEMICAL ENGINEERS ’ HANDBOOK SEVENTH Late Editor, Society.
Rhoades, J. D. (1993). Electrical conductivity methods for measuring and mapping soil salinity. Advances in agronomy, 49, 201-251. https://doi.org/10.1016/S0065-2113(08)60795-6
Sbroscia, M., Sodo, A., Bruni, F., Corridoni, T., & Ricci, M. A. (2018). OH stretching dynamics in hydroxide aqueous solutions. The Journal of Physical Chemistry B, 122(14), 4077-4082. https://doi.org/10.1021/acs.jpcb.8b01094
Schmidhuber, J. (2015). Deep learning in neural networks: An overview. Neural networks, 61, 85-117. https://doi.org/10.1016/j.neunet.2014.09.003
Sinfield, J. V., & Monwuba, C. K. (2014). Assessment and correction of turbidity effects on Raman observations of chemicals in aqueous solutions. Applied spectroscopy, 68(12), 1381-1392. https://doi.org/10.1366/13-07292
Stefanski, J., Schmidt, C., & Jahn, S. (2018). Aqueous sodium hydroxide (NaOH) solutions at high pressure and temperature: insights from in situ Raman spectroscopy and ab initio molecular dynamics simulations. Physical Chemistry Chemical Physics, 20(33), 21629-21639. https://doi.org/10.1039/C8CP00376A
Sue, K., & Arai, K. (2004). Specific behavior of acid–base and neutralization reactions in supercritical water. The Journal of supercritical fluids, 28(1), 57-68. https://doi.org/10.1016/S0896-8446(03)00010-X
Tong, A., Tang, X., Liu, H., Gao, H., Kou, X., & Zhang, Q. (2023). Differentiation of NaCl, NaOH, and β-Phenylethylamine Using Ultraviolet Spectroscopy and Improved Adaptive Artificial Bee Colony Combined with BP-ANN Algorithm. ACS omega, 8(13), 12418-12429. https://doi.org/10.1021/acsomega.3c00271
Truong, T. S., Dang, H. A., Huynh, D. C., Nguyen, T. T. H, Lam, D. N., Nguyen, T. K. A., Tran, T. M. D. & Hoang, D. T. (2021). ANN coupled with Monte Carlo simulation for predicting the concentration of acids. Applied Radiation and Isotopes, 169, 109563. https://doi.org/10.1016/j.apradiso.2020.109563