LAPSE:2025.0395v1
Published Article

LAPSE:2025.0395v1
Systematic comparison between Graph Neural Networks and UNIFAC-IL for solvent pre-selection in liquid-liquid extraction
June 27, 2025
Abstract
Solvent selection is a critical decision-making process that balances economic, environmental, and societal factors. The vast chemical space makes evaluating all potential solvents impractical, necessitating pre-selection strategies to identify promising candidates. Predictive thermodynamic models, such as the UNIFAC model, are commonly used for this purpose. Recent advancements in deep learning have led to models like the Gibbs-Helmholtz Graph Neural Network (GH-GNN), which overall offers higher accuracy in predicting infinite dilution activity coefficients over a broader chemical space than UNIFAC. This study presents a systematic comparison of solvent pre-selection using GH-GNN and UNIFAC-IL in the context of liquid-liquid extraction. The original GH-GNN model is extended to simultaneously predict organic and ionic systems. This extended GH-GNN model predicts more than 92 % of the logarithmic IDACs with an absolute error of less than 0.3. By comparison, UNIFAC-based models only achieve such accuracy for less than 65 %. A case study is used involving the ionic liquid ethyl-3-methylimidazolium tetrafluoroborate ([EMIM][BF4]) and caprolactam, relevant for the solvolytic depolymerization of polyamide 6. Results indicate a significant correlation in solvent rankings across both methods, with a Spearmans coefficient of 0.62, suggesting that deep learning-based models like GH-GNN are viable alternatives for solvent pre-selection. Additionally, chemical similarity metrics, such as Tanimoto similarity, can assess confidence in solvent rankings, allowing users to determine acceptable risk levels in predictions across a vast chemical space.
Solvent selection is a critical decision-making process that balances economic, environmental, and societal factors. The vast chemical space makes evaluating all potential solvents impractical, necessitating pre-selection strategies to identify promising candidates. Predictive thermodynamic models, such as the UNIFAC model, are commonly used for this purpose. Recent advancements in deep learning have led to models like the Gibbs-Helmholtz Graph Neural Network (GH-GNN), which overall offers higher accuracy in predicting infinite dilution activity coefficients over a broader chemical space than UNIFAC. This study presents a systematic comparison of solvent pre-selection using GH-GNN and UNIFAC-IL in the context of liquid-liquid extraction. The original GH-GNN model is extended to simultaneously predict organic and ionic systems. This extended GH-GNN model predicts more than 92 % of the logarithmic IDACs with an absolute error of less than 0.3. By comparison, UNIFAC-based models only achieve such accuracy for less than 65 %. A case study is used involving the ionic liquid ethyl-3-methylimidazolium tetrafluoroborate ([EMIM][BF4]) and caprolactam, relevant for the solvolytic depolymerization of polyamide 6. Results indicate a significant correlation in solvent rankings across both methods, with a Spearmans coefficient of 0.62, suggesting that deep learning-based models like GH-GNN are viable alternatives for solvent pre-selection. Additionally, chemical similarity metrics, such as Tanimoto similarity, can assess confidence in solvent rankings, allowing users to determine acceptable risk levels in predictions across a vast chemical space.
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Suggested Citation
Medina EIS, Minor AJ, Sundmacher K. Systematic comparison between Graph Neural Networks and UNIFAC-IL for solvent pre-selection in liquid-liquid extraction. Systems and Control Transactions 4:1512-1517 (2025) https://doi.org/10.69997/sct.132577
Author Affiliations
Medina EIS: Max Planck Institute for Dynamics of Complex Technical Systems, Department of Process Systems Engineering, Magdeburg, Saxony-Anhalt, Germany
Minor AJ: Max Planck Institute for Dynamics of Complex Technical Systems, Department of Process Systems Engineering, Magdeburg, Saxony-Anhalt, Germany
Sundmacher K: Max Planck Institute for Dynamics of Complex Technical Systems, Department of Process Systems Engineering, Magdeburg, Saxony-Anhalt, Germany; Otto von Guericke University Magdeburg, Chair of Process systems Engineering, Magdeburg, Saxony-Anhalt, Germany
Minor AJ: Max Planck Institute for Dynamics of Complex Technical Systems, Department of Process Systems Engineering, Magdeburg, Saxony-Anhalt, Germany
Sundmacher K: Max Planck Institute for Dynamics of Complex Technical Systems, Department of Process Systems Engineering, Magdeburg, Saxony-Anhalt, Germany; Otto von Guericke University Magdeburg, Chair of Process systems Engineering, Magdeburg, Saxony-Anhalt, Germany
Journal Name
Systems and Control Transactions
Volume
4
First Page
1512
Last Page
1517
Year
2025
Publication Date
2025-07-01
Version Comments
Original Submission
Other Meta
PII: 1512-1517-1509-SCT-4-2025, Publication Type: Journal Article
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LAPSE:2025.0395v1
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https://doi.org/10.69997/sct.132577
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Jun 27, 2025
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References Cited
- Sanchez Medina, E.I. and Sundmacher, K., 2023. Solvent pre-selection for extractive distillation using Gibbs-Helmholtz Graph Neural Networks. In Computer Aided Chemical Engineering (Vol. 52, pp. 2037-2042). Elsevier https://doi.org/10.1016/B978-0-443-15274-0.50324-3
- Sanchez Medina, E.I., Linke, S., Stoll, M. and Sundmacher, K., 2022. Graph neural networks for the prediction of infinite dilution activity coefficients. Digital Discovery, 1(3), pp.216-225 https://doi.org/10.1039/D1DD00037C
- Rittig, J.G., Hicham, K.B., Schweidtmann, A.M., Dahmen, M. and Mitsos, A., 2023. Graph neural networks for temperature-dependent activity coefficient prediction of solutes in ionic liquids. Computers & Chemical Engineering, 171, p.108153 https://doi.org/10.1016/j.compchemeng.2023.108153
- Sanchez Medina, E.I., Linke, S., Stoll, M. and Sundmacher, K., 2023. Gibbs-Helmholtz graph neural network: capturing the temperature dependency of activity coefficients at infinite dilution. Digital Discovery, 2(3), pp.781-798 https://doi.org/10.1039/D2DD00142J
- Sanchez Medina, E.I., Kunchapu, S. and Sundmacher, K., 2023. Gibbs-Helmholtz graph neural network for the prediction of activity coefficients of polymer solutions at infinite dilution. The Journal of Physical Chemistry A, 127(46), pp.9863-9873 https://doi.org/10.1021/acs.jpca.3c05892
- Chen, G., Song, Z., Qi, Z. and Sundmacher, K., 2021. Neural recommender system for the activity coefficient prediction and UNIFAC model extension of ionic liquid-solute systems. AIChE Journal, 67(4), p.e17171 https://doi.org/10.1002/aic.17171
- Qin, S., Jiang, S., Li, J., Balaprakash, P., Van Lehn, R.C. and Zavala, V.M., 2023. Capturing molecular interactions in graph neural networks: a case study in multi-component phase equilibrium. Digital Discovery, 2(1), pp.138-151 https://doi.org/10.1039/D2DD00045H
- Minor, A.J., Goldhahn, R., Rihko-Struckmann, L. and Sundmacher, K., 2023. Chemical recycling processes of Nylon 6 to Caprolactam: Review and Techno-Economic assessment. Chemical Engineering Journal, p.145333 https://doi.org/10.1016/j.cej.2023.145333
- Gmehling, J. and Schedemann, A., 2014. Selection of solvents or solvent mixtures for liquid-liquid extraction using predictive thermodynamic models or access to the Dortmund Data Bank. Industrial & Engineering Chemistry Research, 53(45), pp.17794-17805 https://doi.org/10.1021/ie502909k

