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July 16, 2025

Universal method unlocks entropy calculation for liquids

Entropy of liquid Na: the present calculation (red) and experimental data (black). The entropy value is normalized by the gas constant R. T1 denotes the melting temperature. Credit: Reproduced from the original paper with permission.
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Entropy of liquid Na: the present calculation (red) and experimental data (black). The entropy value is normalized by the gas constant R. T1 denotes the melting temperature. Credit: Reproduced from the original paper with permission.

A groundbreaking new method developed at the University of Osaka calculates the entropy of liquids using a non-empirical approach, requiring only the atomic species as input. The paper is in the Journal of Âé¶¹ÒùÔºics: Condensed Matter.

This revolutionary technique eliminates the need for extensive , paving the way for enhanced predictions of chemical reactions and optimization of industrial applications involving liquids.

The researchers employed based on fundamental physical principles (called density-functional theory in the technical term) to model atomic interactions within the liquid. By considering these interactions, they could accurately predict the without relying on empirical measurements. This approach was validated against existing experimental data for various liquids, demonstrating remarkable consistency.

The method successfully predicted the entropy of liquid sodium with high accuracy, matching experimental data across a range of temperatures, including those above the .

This success with a well-studied system like liquid sodium confirms the method's robustness and potential for wider application to more complex liquids. The elimination of the need for experimental input is a key advancement.

Accurate entropy calculations are crucial for understanding and predicting the behavior of liquids in various chemical and material processes. This new method provides a powerful predictive tool for scientists and engineers, enabling the optimization of reactions and .

Dr. Koun Shirai, a lead author of the study, explains, "Until now, a standardized method for calculating liquid entropy was lacking. Our method represents a significant leap forward, providing a universal tool applicable to a wide range of liquids. This breakthrough will greatly improve the prediction of chemical reactions and optimize various material processes involving liquids."

More information: Koun Shirai et al, First-principles calculation of the entropy of liquids with a case study on sodium, Journal of Âé¶¹ÒùÔºics: Condensed Matter (2025).

Provided by University of Osaka

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A universal, non-empirical method enables accurate entropy calculation for liquids using only atomic species as input, without experimental data. Based on density-functional theory simulations, the approach reliably predicts entropy, as demonstrated for liquid sodium across temperatures above its melting point. This advancement supports improved prediction and optimization of liquid-based processes.

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