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Phase Formation Rules

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High-Entropy Alloys

Abstract

This chapter gives an overview of existing active phase formation rules for high-entropy alloys (HEAs). A parametric approach using physiochemical parameters including enthalpy of mixing, entropy of mixing, melting points, atomic size difference, and valence electron concentration is used to delineate phase formation rules for HEAs, with a reference to other multicomponent alloys like bulk metallic glasses (BMGs). Specifically, rules on forming solid solutions, intermetallic compounds, and the amorphous phase are described in detail; formation rules of solid solutions with the face-centered cubic (fcc) or body-centered cubic (bcc) structure are also discussed. Some remaining issues and future prospects on phase formation rules for HEAs are also addressed at the end.

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Acknowledgments

Y.Z. and X.Y. would like acknowledge the financial supports from the National Natural Science Foundation of China (NSFC) with grant nos. of 51210105006, 50971019, 50571018, and 51471025 and National High-Tech R&D (863) Program with grant no. of 2009AA03Z113. S.G. thanks the Area of Advance Materials Science from Chalmers University of Technology, for the start-up funding. C.T.L. acknowledges the financial support from the Research Grants Council (RGC) of the Hong Kong government, through the General Research Fund (GRF) with the account number CityU 521411.

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Authors and Affiliations

  1. State Key Laboratory for Advanced Metals and Materials, University of Science and Technology Beijing, Beijing, People’s Republic of China

    Yong Zhang & Xiao Yang

  2. Department of Materials and Manufacturing Technology, Chalmers University of Technology, Gothenburg, SE, Sweden

    Sheng Guo

  3. Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Kowloon Tong, Hong Kong, People’s Republic of China

    C. T. Liu

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  1. Yong Zhang
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  2. Sheng Guo
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  3. C. T. Liu
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  4. Xiao Yang
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Correspondence to Yong Zhang .

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Editors and Affiliations

  1. National Energy Technology, Laboratory & AECOM, Albany, Oregon, USA

    Michael C. Gao

  2. Department of Materials Science and Eng, National Tsing Hua University, Hsinchu, Taiwan

    Jien-Wei Yeh

  3. Department of Materials Science and Eng, The University of Tennessee, KNOXVILLE, Tennessee, USA

    Peter K. Liaw

  4. State Key Laboratory for Advanced Metal, University of Science and Technology, Beijing, China

    Yong Zhang

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Zhang, Y., Guo, S., Liu, C.T., Yang, X. (2016). Phase Formation Rules. In: Gao, M., Yeh, JW., Liaw, P., Zhang, Y. (eds) High-Entropy Alloys. Springer, Cham. https://doi.org/10.1007/978-3-319-27013-5_2

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