Prediction of Enthalpy of Mixing of Binary Alloys Based on Machine Learning and CALPHAD Assessments
The enthalpy of mixing, a critical thermodynamic property in the liquid phase reflecting element interaction strength and pivotal for studying phase equilibria, can now be predicted efficiently using machine learning. This study proposes a model combining machine learning with the Calculation of Pha...
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MDPI AG
2025-04-01
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| author | Shuangying Huang Guangyu Wang Zhanmin Cao |
| author_facet | Shuangying Huang Guangyu Wang Zhanmin Cao |
| author_sort | Shuangying Huang |
| collection | DOAJ |
| description | The enthalpy of mixing, a critical thermodynamic property in the liquid phase reflecting element interaction strength and pivotal for studying phase equilibria, can now be predicted efficiently using machine learning. This study proposes a model combining machine learning with the Calculation of Phase Diagram (CALPHAD) to predict the enthalpy of mixing. We obtained data for 583 binary alloy systems from the SGTE database, ensuring experimental constraints for accuracy. Using pure element properties and Miedema’s model parameters as descriptors, we trained and evaluated four machine learning algorithms, finding LightGBM to perform best (R<sup>2</sup> = 92.2%, MAE = 3.5 kJ/mol). The model performance was further optimized through Recursive Feature Elimination (RFE) and Maximal Information Coefficient (MIC) feature selection methods. Shapley Additive Explanations reveals that the primary factors affecting the mixing enthalpy, such as atomic radius and electronegativity, align with the key parameters of the Miedema model, thereby confirming the physical interpretability of our data-driven approach. This work offers an accelerated method for predicting complex multi-component system thermodynamics. Future research will focus on collecting more high-quality data to enhance model accuracy and generalization. |
| format | Article |
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| institution | OA Journals |
| issn | 2075-4701 |
| language | English |
| publishDate | 2025-04-01 |
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| series | Metals |
| spelling | doaj-art-b6e9707e899d4f31a06bd874dd0c0de32025-08-20T02:33:55ZengMDPI AGMetals2075-47012025-04-0115548010.3390/met15050480Prediction of Enthalpy of Mixing of Binary Alloys Based on Machine Learning and CALPHAD AssessmentsShuangying Huang0Guangyu Wang1Zhanmin Cao2School of Metallurgical and Ecological Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaSchool of Metallurgical and Ecological Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaSchool of Metallurgical and Ecological Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaThe enthalpy of mixing, a critical thermodynamic property in the liquid phase reflecting element interaction strength and pivotal for studying phase equilibria, can now be predicted efficiently using machine learning. This study proposes a model combining machine learning with the Calculation of Phase Diagram (CALPHAD) to predict the enthalpy of mixing. We obtained data for 583 binary alloy systems from the SGTE database, ensuring experimental constraints for accuracy. Using pure element properties and Miedema’s model parameters as descriptors, we trained and evaluated four machine learning algorithms, finding LightGBM to perform best (R<sup>2</sup> = 92.2%, MAE = 3.5 kJ/mol). The model performance was further optimized through Recursive Feature Elimination (RFE) and Maximal Information Coefficient (MIC) feature selection methods. Shapley Additive Explanations reveals that the primary factors affecting the mixing enthalpy, such as atomic radius and electronegativity, align with the key parameters of the Miedema model, thereby confirming the physical interpretability of our data-driven approach. This work offers an accelerated method for predicting complex multi-component system thermodynamics. Future research will focus on collecting more high-quality data to enhance model accuracy and generalization.https://www.mdpi.com/2075-4701/15/5/480machine learningCALPHADenthalpy of mixingthermodynamic propertiesbinary alloys |
| spellingShingle | Shuangying Huang Guangyu Wang Zhanmin Cao Prediction of Enthalpy of Mixing of Binary Alloys Based on Machine Learning and CALPHAD Assessments Metals machine learning CALPHAD enthalpy of mixing thermodynamic properties binary alloys |
| title | Prediction of Enthalpy of Mixing of Binary Alloys Based on Machine Learning and CALPHAD Assessments |
| title_full | Prediction of Enthalpy of Mixing of Binary Alloys Based on Machine Learning and CALPHAD Assessments |
| title_fullStr | Prediction of Enthalpy of Mixing of Binary Alloys Based on Machine Learning and CALPHAD Assessments |
| title_full_unstemmed | Prediction of Enthalpy of Mixing of Binary Alloys Based on Machine Learning and CALPHAD Assessments |
| title_short | Prediction of Enthalpy of Mixing of Binary Alloys Based on Machine Learning and CALPHAD Assessments |
| title_sort | prediction of enthalpy of mixing of binary alloys based on machine learning and calphad assessments |
| topic | machine learning CALPHAD enthalpy of mixing thermodynamic properties binary alloys |
| url | https://www.mdpi.com/2075-4701/15/5/480 |
| work_keys_str_mv | AT shuangyinghuang predictionofenthalpyofmixingofbinaryalloysbasedonmachinelearningandcalphadassessments AT guangyuwang predictionofenthalpyofmixingofbinaryalloysbasedonmachinelearningandcalphadassessments AT zhanmincao predictionofenthalpyofmixingofbinaryalloysbasedonmachinelearningandcalphadassessments |