Journal of Thermal Analysis and Calorimetry

, Volume 110, Issue 3, pp 1153–1160 | Cite as

A method to estimate the Gibbs free energy of non-equilibrium alloys by thermal analysis

  • Linping Zhang
  • Xianlei Song
  • Yanyan Song
  • Zhanbo SunEmail author
  • Qian Li
  • Xiaoping Song
  • Liqun Wang


A method has been developed to estimate the Gibbs free energy \( \left( {G_{\text{S}}^{\text{NE}} } \right) \) of the non-equilibrium solid alloys with multicomponents based on differential scanning calorimetry (DSC) analysis. In this method, the DSC curves of the non-equilibrium and equilibrium alloys during heating up to fully melting and those of the alloys during solidifying were measured. Then the thermal effects of the solid phase transformations from non-equilibrium to equilibrium states and the equilibrium solidification could be calculated. By evolving the traditional equal-G curve principle to equal-G point, the Gibbs free energy of the equilibrium solid alloy with multicomponents could be obtained on condition that the free energy of the liquid alloy was known. Considering the thermal effects of the solid phase transformations from non-equilibrium to equilibrium states, the Gibbs free energy value of the non-equilibrium alloys with a given composition could be achieved although the phase constitution of the equilibrium solid alloys and the Gibbs free energy of each phase were not known, and the calculation errors could be reduced by dividing the alloys into many infinitesimal virtual pure metals. The Gibbs free energy of the non-equilibrium Al–Si–Mn alloys was calculated by using this method, confirming the validity of this method.


Non-equilibrium alloy Differential scanning calorimetry Equal-G curve Gibbs free energy 



This work was supported by the National Natural Science Foundation of China (50871081).


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2011

Authors and Affiliations

  • Linping Zhang
    • 1
  • Xianlei Song
    • 1
  • Yanyan Song
    • 1
  • Zhanbo Sun
    • 1
    Email author
  • Qian Li
    • 1
  • Xiaoping Song
    • 1
  • Liqun Wang
    • 1
  1. 1.MOE Key Laboratory for Non-equilibrium Synthesis and Modulation of Condensed Matter, State Key Laboratory for Mechanical Behavior of MaterialsXi’an Jiaotong UniversityXi’anPeople’s Republic of China

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