A Thermodynamic Modelling of the Stability of Sigma Phase in the Cr-Fe-Ni-V High-Entropy Alloy System

Won Mi Choi, Yong Hee Jo, Dong Geun Kim, Seok Su Sohn, Sunghak Lee, Byeong Joo Lee

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


The addition of vanadium (V) to the representative Co-Cr-Fe-Mn-Ni high-entropy alloy (HEA) system is attracting attention expecting a large solid solution hardening effect. For the design of V-added HEAs, prediction of the sigma (σ) phase formation has been mainly issued because it affects a significant influence on the mechanical properties. Although the CALculation of PHAse Diagram (CALPHAD) approach can be a good tool for prediction of phase structures, robust thermodynamic database is still required for an accurate prediction of V-added HEA systems. The present work aims at providing a thermodynamic description for the Cr-Fe-Ni-V HEA system, focusing on the thermodynamic stability of the σ phase. A parameterization technique which minimizes the number of fitting parameter and simplifies the extension into higher-order systems is proposed and applied to the σ phase with multiple sublattice during modelling the Cr-Ni-V and Fe-Ni-V systems. The reliability of the developed thermodynamic description for the Cr-Fe-Ni-V quaternary system is experimentally confirmed by designing, fabricating and analysing the phase structures of a series of Cr-Fe-Ni-V HEAs.

Original languageEnglish
Pages (from-to)694-701
Number of pages8
JournalJournal of Phase Equilibria and Diffusion
Issue number5
Publication statusPublished - 2018 Oct 1
Externally publishedYes


  • Cr-Fe-Ni-V
  • high-entropy alloy
  • sigma phase
  • thermodynamic modelling

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Metals and Alloys
  • Materials Chemistry


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