Enthalpies of mixing from dilute solutions to high-entropy alloys
Physical Review B, accepted (2026)
Abstract
High-entropy alloys (HEAs) are materials characterized by significant configurational disorder, offering promising properties for mechanical, chemical, and electrochemical applications. However, accurately determining their thermodynamics, especially the enthalpy of mixing, remains challenging because of the complexity of these systems and the limitations of empirical models. Here, we introduce an thermodynamic model that leverages properties of dilute solid solutions to accurately predict the enthalpies of mixing in high-entropy alloys. This approach, called Dilute Solution Interpolation (DSI) model, shows excellent agreement with experimental data for binary alloys and significantly outperforms semi-empirical models like the Miedema model. Furthermore, the model extends to multiprincipal component alloys, and we demonstrate its application to the AgAuCuPdPt, identifying possible phase separations. Our findings reveal that using this model offers a viable alternative from dilute solutions to nearly equimolar models for more accurate thermodynamic properties in HEAs. This advancement offers a more precise framework for designing HEAs, minimizing the reliance on empirical parameters. The study's findings provide fresh insights into thermodynamic modeling and could lead to the development of a wider range of high-performance materials. The model developed here is general and can be extended to other HEAs, including those with different crystalline phases or materials, such as oxides and other high-entropy compounds, providing a better prediction of HEAs crystal phases; especially on which compositions could lead to solid solutions. Our results also establish the DSI model's efficiency, characterized by a quadratic O(N²) scaling with the number of components (N). Consequently, the framework provides a scalable pathway for predicting the properties of concentrated multicomponent alloys.