Accurate prediction of ideal gas heat capacity C(T) using machine learning: data augmentation and ensemble learning for robust thermodynamic modeling

• Flexible framework using Mordred descriptors and neural networks for Cp prediction. • Cp normalized by infinite-temperature limit improves dataset balance. • High accuracy achieved (R² > 0.999) with bagged neural network ensemble. • Model generalizes well across chemical space, including complex molecules. Reliable predictions of ideal-gas molar heat capacities at constant pressure are a cornerstone of thermodynamic modeling. In the absence of a reliable model or correlation for the estimation of the ideal-gas heat capacity, an equation of state (EoS) alone cannot ensure thermodynamically consistent calculations of state-function variations, nor can it provide real-fluid heat capacities, since it only yields residual contributions. Changes in internal energy, enthalpy, entropy, exergy, and real-fluid heat capacities require the integration of the ideal-gas contribution which depends solely on the temperature-dependent ideal-gas heat capacity. Thus, coupling an EoS with an ideal-gas heat capacity model enables full thermodynamic property evaluation in process simulators. In this paper, we propose a deep-learning framework for continuous prediction of temperature-dependent ideal-gas molar heat capacities at constant pressure ( C p ) via artificial neural networks (ANNs) trained using molecular descriptors computed with Mordred and a high-quality experimental database comprising 1,471 compounds. The dataset was augmented using experimentally validated correlations, generating 100 C p data points per molecule over their corresponding temperature range and several ANN models were trained in a bagging ensemble configuration. The resulting model achieves excellent predictive accuracy (R² > 0.999 for both training and test sets) while demonstrating strong generalization to external datasets, indicating that the framework captures transferable structure-thermodynamic relationships. By explicitly treating temperature as an input variable, the proposed model provides smooth and continuous ideal-gas C p ( T ) predictions while preserving physically consistent thermodynamic trends across temperature ranges relevant to industrial applications. The developed prediction tool is available in a web interface (link).

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Publication Details

Journal
Chemical Engineering Journal Advances
Published
2026-03-14
DOI
https://doi.org/10.1016/j.ceja.2026.101140
Primary Topic
Machine Learning in Materials Science
Type
article
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article

Accurate prediction of ideal gas heat capacity C(T) using machine learning: data augmentation and ensemble learning for robust thermodynamic modeling

Roda Bounaceur, Francisco Carlos Paes, Romain Privat, Jean-Noël Jaubert
Chemical Engineering Journal Advances
Machine Learning in Materials Science
article

Accurate prediction of ideal gas heat capacity C(T) using machine learning: data augmentation and ensemble learning for robust thermodynamic modeling

Roda Bounaceur, Francisco Carlos Paes, Romain Privat, Jean-Noël Jaubert
article en

Abstract

• Flexible framework using Mordred descriptors and neural networks for Cp prediction. • Cp normalized by infinite-temperature limit improves dataset balance. • High accuracy achieved (R² > 0.999) with bagged neural network ensemble. • Model generalizes well across chemical space, including complex molecules. Reliable predictions of ideal-gas molar heat capacities at constant pressure are a cornerstone of thermodynamic modeling. In the absence of a reliable model or correlation for the estimation of the ideal-gas heat capacity, an equation of state (EoS) alone cannot ensure thermodynamically consistent calculations of state-function variations, nor can it provide real-fluid heat capacities, since it only yields residual contributions. Changes in internal energy, enthalpy, entropy, exergy, and real-fluid heat capacities require the integration of the ideal-gas contribution which depends solely on the temperature-dependent ideal-gas heat capacity. Thus, coupling an EoS with an ideal-gas heat capacity model enables full thermodynamic property evaluation in process simulators. In this paper, we propose a deep-learning framework for continuous prediction of temperature-dependent ideal-gas molar heat capacities at constant pressure ( C p ) via artificial neural networks (ANNs) trained using molecular descriptors computed with Mordred and a high-quality experimental database comprising 1,471 compounds. The dataset was augmented using experimentally validated correlations, generating 100 C p data points per molecule over their corresponding temperature range and several ANN models were trained in a bagging ensemble configuration. The resulting model achieves excellent predictive accuracy (R² > 0.999 for both training and test sets) while demonstrating strong generalization to external datasets, indicating that the framework captures transferable structure-thermodynamic relationships. By explicitly treating temperature as an input variable, the proposed model provides smooth and continuous ideal-gas C p ( T ) predictions while preserving physically consistent thermodynamic trends across temperature ranges relevant to industrial applications. The developed prediction tool is available in a web interface (link).

Chemical Engineering Journal AdvancesVol. 26
Centre National de la Recherche Scientifique (FR), Laboratoire Réactions et Génie des Procédés (FR), Université de Lorraine (FR)
Affordable and clean energy
Openalex Percentile: Top 23%
Machine Learning in Materials Science
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