Journal of Phase Equilibria and Diffusion

, Volume 38, Issue 4, pp 382–390 | Cite as

A Regular Solution Model for a Single-Phase High Entropy and Enthalpy Alloy

  • J. E. MorralEmail author
  • Shuanglin Chen


A regular solution, 3-component model suggested by J.L. Meijering in which binary interaction parameters were equal and positive has been extended to 5 and 6-component high entropy alloys (HEAs). On cooling, Meijering’s model develops miscibility gaps containing a low temperature eutectoid at the equiatomic composition. Similar behavior is found in this work on HEAs with the eutectoid temperature decreasing, while both the entropy and enthalpy are increasing, as additional components are added to the system. An equation for the chemical spinodal at the equiatomic composition is derived from the same thermodynamic model that was used to predict miscibility gaps. The spinodal temperature is at a cone point where multiple spinodal surfaces meet and is dominated by entropy. A proposal is made to categorize HEAs as having low, medium or high enthalpy. Low enthalpy HEAs are defined as having mixing enthalpies less than 1.25 kJ/mol, high enthalpy HEAs having mixing enthalpies greater than 2.9 kJ/mol, and medium HEA as between the extremes. A possible approach for designing high enthalpy HEAs is suggested to incorporate Meijering’s method of analyzing potential HEAs according to their individual binary interaction parameters instead of their total mixing enthalpy.


binary interaction parameters high enthalpy and entropy high entropy alloys multicomponent regular solutions multicomponent spinodal 



The authors are grateful to the Ohio State University and CompuTherm LLC for providing facilities to perform this research.


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Copyright information

© ASM International 2017

Authors and Affiliations

  1. 1.Department of Materials Science and EngineeringThe Ohio State UniversityColumbusUSA
  2. 2.CompuTherm, LLCMiddletonUSA

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