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Thermodynamically consistent machine learning model for excess Gibbs energy
Marco Hoffmann1, Thomas Specht1, Quirin Göttl2
1Laboratory of Engineering Thermodynamics, RPTU University Kaiserslautern-Landau, Kaiserslautern, Germany.
Nature Communications
|April 14, 2026
Summary
HANNA, a machine learning model, accurately predicts excess Gibbs energy for liquid mixtures by integrating physical laws. This thermodynamically consistent approach expands applicability beyond current methods.
Area of Science:
- Thermodynamics
- Chemical Engineering
- Machine Learning
Background:
- Excess Gibbs energy is crucial for modeling thermodynamic properties of liquid mixtures.
- Predicting this property for multi-component mixtures from molecular structures remains a significant challenge.
Purpose of the Study:
- To develop a machine learning model, HANNA, for predicting excess Gibbs energy.
- To ensure thermodynamically consistent predictions by integrating physical laws as hard constraints.
Main Methods:
- Developed HANNA, a flexible machine learning model.
- Trained HANNA on experimental data for vapor-liquid equilibria, liquid-liquid equilibria, activity coefficients at infinite dilution, and excess enthalpies.
- Utilized a surrogate solver for end-to-end training on liquid-liquid equilibrium data.
- Employed a geometric projection method for extrapolation to multi-component mixtures.
Main Results:
- HANNA provides accurate predictions of excess Gibbs energy.
- The model demonstrates a substantially broader domain of applicability compared to state-of-the-art methods.
- Thermodynamically consistent predictions are guaranteed.
Conclusions:
- HANNA successfully addresses the challenge of predicting excess Gibbs energy for multi-component mixtures.
- The model offers improved accuracy and applicability in thermodynamic property prediction.
- Open-source code and an interactive interface are available for broader use.
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