Artificial neural network modeling of rare earth element solvent extraction based on pH and extractant concentration

Dilan S. Udawattha , Shafiq Alam

Green and Smart Mining Engineering ›› 2026, Vol. 3 ›› Issue (2) : 145 -155.

PDF (8155KB)
Green and Smart Mining Engineering ›› 2026, Vol. 3 ›› Issue (2) :145 -155. DOI: 10.1016/j.gsme.2026.03.001
research-article
Artificial neural network modeling of rare earth element solvent extraction based on pH and extractant concentration
Author information +
History +
PDF (8155KB)

Abstract

Rare earth elements (REEs), which comprise 15 lanthanides together with scandium and yttrium, are commonly separated by solvent extraction, in which the equilibrium distribution coefficients (lg D) depend on the extractant type, solution pH, and extractant concentration. Owing to the nonlinear interactions among these variables, the quantitative interpretation of REE extraction data remains challenging. A curated dataset of experimentally reported REE solvent-extraction equilibrium data encompassing diverse extractants and operating conditions was compiled from the literature. Two artificial neural network (ANN) models were employed as data-driven tools to simulate and analyze the behavior of lg D based on the solution pH and log-scaled extractant concentration. The extractant identity was represented using one-hot encoding, and the lanthanide atomic number was included as an auxiliary descriptor to represent systematic trends across the rare-earth series. The ANN results showed strong agreement with experimental data across multiple systems, thus demonstrating the internal consistency and analytical value of the compiled dataset for data-centric studies regarding REE solvent-extraction equilibria.

Keywords

Solvent extraction / Rare earth elements / Artificial neural network / Distribution coefficient / PH / Extractant concentration

Cite this article

Download citation ▾
Dilan S. Udawattha, Shafiq Alam. Artificial neural network modeling of rare earth element solvent extraction based on pH and extractant concentration. Green and Smart Mining Engineering, 2026, 3 (2) : 145-155 DOI:10.1016/j.gsme.2026.03.001

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

G. Charalampides, K.I. Vatalis, B. Apostoplos, B. Ploutarch-Nikolas, Rare earth elements: industrial applications and economic dependency of Europe, Procedia Econ. Financ. 24 (2015) 126-135.

[2]

L. Omodara, S. Pitkäaho, E.M. Turpeinen, P. Saavalainen, K. Oravisjärvi, R.L. Keiski, Recycling and substitution of light rare earth elements, cerium, lanthanum, neodymium, and praseodymium from end-of-life applications-a review, J. Clean. Prod. 236 (2019) 117573.

[3]

T. Dutta, K.H. Kim, M. Uchimiya, E.E. Kwon, B.H. Jeon, A. Deep, S.T. Yun, Global demand for rare earth resources and strategies for green mining, Environ. Res. 150 (2016) 182-190.

[4]

J.P. Rabatho, W. Tongamp, Y. Takasaki, K. Haga, A. Shibayama, Recovery of Nd and Dy from rare earth magnetic waste sludge by hydrometallurgical process, J. Mater. Cycles Waste Manag. 15 (2) (2013) 171-178.

[5]

B. Sprecher, Y.P. Xiao, A. Walton, J. Speight, R. Harris, R. Kleijn, G. Visser, G.J. Kramer, Life cycle inventory of the production of rare earths and the subsequent production of NdFeB rare earth permanent magnets, Environ. Sci. Technol. 48 (7) (2014) 3951-3958.

[6]

C.Y. Yun, C. Lee, G.G. Lee, S. Jo, S.W. Sung, Modeling and simulation of multicomponent solvent extraction processes to purify rare earth metals, Hydrometallurgy 159 (2016) 40-45.

[7]

R.D. Abreu, C.A. Morais, Study on separation of heavy rare earth elements by solvent extraction with organophosphorus acids and amine reagents, Miner. Eng. 61 (2014) 82-87.

[8]

N. Swain, S. Mishra, A review on the recovery and separation of rare earths and transition metals from secondary resources, J. Clean. Prod. 220 (2019) 884-898.

[9]

J.E. Quinn, K.H. Soldenhoff, G.W. Stevens, N.A. Lengkeek, Solvent extraction of rare earth elements using phosphonic/phosphinic acid mixtures, Hydrometallurgy 157 (2015) 298-305.

[10]

O.V. Knyaz’kina, G.G. Kuznetsova, V.F. Travkin, G.M. Vol’dman, Y.M. Glubokov, Extraction of molybdenum with bis(2,4,4-trimethylpentyl)phosphine acid (Cyanex-272), Russ. J. Non-Ferr. Met. 51 (6) (2010) 451-456.

[11]

L. Chen, H.L. Li, J. Chen, D.Q. Li, T.C. Liu, Separation of heavy rare earths by di-(2-ethylhexyl) phosphinic acid: From fundamentals to cascade extraction simulation, Miner. Eng. 149 (2020) 106232.

[12]

M.E. Nasab, A. Sam, S.A. Milani, Determination of optimum process conditions for the separation of thorium and rare earth elements by solvent extraction, Hydrometallurgy 106 (3-4) (2011) 141-147.

[13]

Q. Jia, S.S. Tong, Z.Y. Li, W.H. Zhou, H.F. Li, S.L. Meng, Solvent extraction of rare earth elements with mixtures of sec-octylphenoxy acetic acid and bis(2,4,4-trimethylpentyl) dithiophosphinic acid, Sep. Purif. Technol. 64 (3) (2009) 345-350.

[14]

S.S. Tong, X.W. Zhao, N.Z. Song, Q. Jia, W.H. Zhou, W.P. Liao, Solvent extraction study of rare earth elements from chloride medium by mixtures of sec-nonylphenoxy acetic acid with Cyanex301 or Cyanex302, Hydrometallurgy 100 (1-2) (2009) 15-19.

[15]

Y. Deng, Y.G. Ding, Z. Huang, Y. Yu, J. He, Y. Zhang, Boosting the extraction of rare earth elements from chloride medium by novel carboxylic acid based ionic liquids, J. Mol. Liq. 329 (2021) 115549.

[16]

A.E. Giles, C. Aldrich, J.S.J. Van, Modelling of rare earth solvent extraction with artificial neural nets, Hydrometallurgy 43 (1-3) (1996) 241-255.

[17]

M. Anitha, M.K. Kotekar, D.K. Singh, R. Vijayalakshmi, H. Singh, Solvent extraction studies on rare earths from chloride medium with organophosphorous extractant dinonyl phenyl phosphoric acid, Hydrometallurgy 146 (2014) 128-132.

[18]

Y. Komatsu, H. Freiser, Extraction separation of tervalent lanthanide metals with bis(2,4,4-trimethylpentyl)phosphinic acid, Anal. Chim. Acta 227 (1989) 397-404.

[19]

K. Ohto, S. Yoshida, K. Yoshizuka, K. Inoue, M. Ohtsuka, M. Goto, F. Nakashio, Solvent extraction equilibria of rare earth metals by acidic organophosphorus extractants with bulky substituents, Anal. Sci. 11 (4) (1995) 637-641.

[20]

D.Q. Li, A review on yttrium solvent extraction chemistry and separation process, J. Rare Earths 35 (2) (2017) 107-119.

[21]

F. Kubota, M. Goto, F. Nakashio, Extraction of rare earth metals with 2-ethylhexyl phosphonic acid mono-2-ethylhexyl ester in the presence of diethylenetriaminepentaacetic acid in aqueous phase, Solvent Extr. Ion. Exch. 11 (3) (1993) 437-453.

[22]

Y.Q. Zhang, J.N. Li, X.W. Huang, C.M. Wang, Z.W. Zhu, G.C. Zhang, Synergistic extraction of rare earths by mixture of HDEHP and HEH/EHP in sulfuric acid medium, J. Rare Earths 26 (5) (2008) 688-692.

[23]

Q. Zhao, Y.L. Li, S.T. Kuang, Z.F. Zhang, X. Bian, W.P. Liao, Synergistic extraction of heavy rare earths by mixture of α-aminophosphonic acid HEHAMP and HEHEHP, J. Rare Earths 37 (4) (2019) 422-428.

[24]

D.K. Singh, H. Singh, J.N. Mathur, Extraction of rare earths and yttrium with high molecular weight carboxylic acids, Hydrometallurgy 81 (3-4) (2006) 174-181.

[25]

S.T. Kuang, Z.F. Zhang, Y.L. Li, H.Q. Wei, W.P. Liao, Extraction and separation of heavy rare earths from chloride medium by α-aminophosphonic acid HEHAPP, J. Rare Earths 36 (3) (2018) 304-310.

[26]

Y.L. Wang, F.J. Li, Z.Y. Zhao, Y.M. Dong, X.Q. Sun, The novel extraction process based on CYANEX®572 for separating heavy rare earths from ion-adsorbed deposit, Sep. Purif. Technol. 151 (2015) 303-308.

[27]

M.L.P. Reddy, J.R. Bosco Bharathi, S. Peter, T.R. Ramamohan, Synergistic extraction of rare earths with bis(2,4,4-trimethyl pentyl) dithiophosphinic acid and trialkyl phosphine oxide, Talanta 50 (1) (1999) 79-85.

[28]

Y.C. Lu, W.P. Liao, Extraction and separation of trivalent rare earth metal ions from nitrate medium by p-phosphonic acid calix[4]arene, Hydrometallurgy 165 (2016) 300-305.

[29]

D.F. Peppard, G.W. Mason, W.J. Driscoll, R.J. Sironen, Acidic esters of orthophosphoric acid as selective extractants for metallic cations: Tracer studies, J. Inorg. Nucl. Chem. 7 (3) (1958) 276-285.

[30]

S.X. Wu, L.S. Wang, P. Zhang, H. El-Shall, B. Moudgil, X.W. Huang, L.S. Zhao, L.F. Zhang, Z.Y. Feng, Simultaneous recovery of rare earths and uranium from wet process phosphoric acid using solvent extraction with D2EHPA, Hydrometallurgy 175 (2018) 109-116.

[31]

K. Inaba, S. Muralidharan, H. Freiser, Simultaneous characterization of extraction equilibria and back-extraction kinetics: Use of Arsenazo III to characterize lanthanide-bis(2,4,4-trimethylpentyl)phosphinic acid complexes in surfactant micelles, Anal. Chem. 65 (11) (1993) 1510-1516.

[32]

A. Rout, K. Binnemans, Separation of rare earths from transition metals by liquid-liquid extraction from a molten salt hydrate to an ionic liquid phase, Dalton Trans. 43 (8) (2014) 3186-3195.

[33]

D. Divakar, D. Manikandan, T. Sivakumar, Vapor-phase selective hydrogenation of citral over Pd/bentonite: Effect of reduction method, J. Chem. Technol. Biotechnol. 83 (11) (2008) 1472-1478.

[34]

A.C. du Preez, J.S. Preston, The solvent extraction of rare-earth metals by carboxylic acids, Solvent Extr. Ion. Exch. 10 (2) (1992) 207-230.

[35]

R. Torkaman, M.A. Moosavian, M. Torab-Mostaedi, J. Safdari, Solvent extraction of samarium from aqueous nitrate solution by Cyanex301 and D2EHPA, Hydrometallurgy 137 (2013) 101-107.

[36]

J.L. Wang, G. Chen, S.M. Xu, Z.L. Yin, Q. Zhang, Solvent extraction of rare earth ions from nitrate media with new extractant di-(2,3-dimethylbutyl)-phosphinic acid, J. Rare Earths 34 (7) (2016) 724-730.

[37]

H.A. Pereira, L. Mironuk Frescura, B.B. de Menezes, R. Duarte, M.A. Villetti, M. Hilgemann, M.B. da Rosa, A multivariate approach at the thermodynamic properties of rare earth elements, Thermochim. Acta 678 (2019) 178315.

[38]

A. Borode, P. Olubambi, Modelling the effects of mixing ratio and temperature on the thermal conductivity of GNP-Alumina hybrid nanofluids: A comparison of ANN, RSM, and linear regression methods, Heliyon 9 (8) (2023) e19228.

[39]

M. Špadina, K. Bohinc, T. Zemb, J.F. Dufrêche, Colloidal model for the prediction of the extraction of rare earths assisted by the acidic extractant, Langmuir 35 (8) (2019) 3215-3230.

[40]

M. Špadina, K. Bohinc, T. Zemb, J.F. Dufrêche, Synergistic solvent extraction is driven by entropy, ACS Nano 13 (12) (2019) 13745-13758.

PDF (8155KB)

0

Accesses

0

Citation

Detail

Sections
Recommended

/