Criterion for Sigma Phase Formation in Cr- and V-Containing High-Entropy Alloys

Ming-Hung Tsai; Kun-Yo Tsai; Che-Wei Tsai; Chi Lee; Chien-Chang Juan; Jien-Wei Yeh

doi:10.1080/21663831.2013.831382

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Criterion for Sigma Phase Formation in Cr- and V-Containing High-Entropy Alloys

Original Reports | 更新时间：2026-08-19

- Criterion for Sigma Phase Formation in Cr- and V-Containing High-Entropy Alloys
- Materials Research Letters Vol. 1, Issue 4, Pages: 207-212(2013)
- 作者机构：
  
  1. Department of Materials Science and Engineering National Chung Hsing University
  2. Department of Materials Science and Engineering National Tsing Hua University
- 作者简介：
- 基金信息：
- DOI：10.1080/21663831.2013.831382
  CLC：
- Online First：20 August 2013，
  
  Published：2013
- 稿件说明：
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Ming-Hung Tsai, Kun-Yo Tsai, Che-Wei Tsai, et al. Criterion for Sigma Phase Formation in Cr- and V-Containing High-Entropy Alloys[J]. Materials Research Letters, 2013, 1(4): 207-212.
DOI：

Ming-Hung Tsai, Kun-Yo Tsai, Che-Wei Tsai, et al. Criterion for Sigma Phase Formation in Cr- and V-Containing High-Entropy Alloys[J]. Materials Research Letters, 2013, 1(4): 207-212. DOI： 10.1080/21663831.2013.831382.

摘要

Abstract

Formation of the σ phase has been observed in quite a few high-entropy alloys (HEAs) recently. The σ phase significantly enhances the hardness of the alloys but reduces their ductility. Thus

controlling the formation of σ phase through proper design is critical for HEAs. However

theories to predict the σ phase formation based on HEA composition are still not available. Here

we demonstrate that the σ phase formation is directly related to the valence electron concentration (VEC) of the alloy. The σ-phase-forming VEC range was systematically studied and revealed. Such finding is of crucial importance to the future design of HEAs.

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Related Author

Ming-Hung Tsai

Keng-Che Chang

Jian-Hong Li

Ruei-Chi Tsai

An-Hung Cheng

Zhengxiong Su

Jianqiang Wang

Jinxue Yang

Related Institution

Department of Materials Science and Engineering National Chung Hsing University Kuo Kuang Road

Department of Nuclear Science and Technology Xi'an Jiaotong University

a Univ. Bordeaux CNRS Bordeaux INP ICMCB UMR

a Univ. Bordeaux CNRS Bordeaux INP ICMCB UMR Pessac France

b MAT Université Libre de Bruxelles

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