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
- Criterion for Sigma Phase Formation in Cr- and V-Containing High-Entropy Alloys
- 材料研究快报（英文） 2013年1卷第4期页码：207-212
- 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
  中图分类号：
- 网络首发：2013-08-20，
  
  纸质出版：2013
- 稿件说明：
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Ming-Hung Tsai, Kun-Yo Tsai, Che-Wei Tsai, 等. Criterion for Sigma Phase Formation in Cr- and V-Containing High-Entropy Alloys[J]. 材料研究快报（英文）, 2013,1(4):207-212.

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.
Ming-Hung Tsai, Kun-Yo Tsai, Che-Wei Tsai, 等. Criterion for Sigma Phase Formation in Cr- and V-Containing High-Entropy Alloys[J]. 材料研究快报（英文）, 2013,1(4):207-212. DOI： 10.1080/21663831.2013.831382.

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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相关机构

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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