Journal of Materials Science

, Volume 46, Issue 24, pp 7839–7849 | Cite as

Structure and thermodynamics of the key precipitated phases in the Al–Mg–Si alloys from first-principles calculations

  • Dongdong Zhao
  • Liangcai Zhou
  • Yi Kong
  • Aijun Wang
  • Jiong Wang
  • Yingbiao Peng
  • Yong DuEmail author
  • Yifang Ouyang
  • Wenqing Zhang


First-principles calculations have been carried out to investigate the structure, stability, and finite-temperature thermodynamic properties of the key precipitates in the Al–Mg–Si alloys including β″-Mg5Si6, U1-Al2MgSi2, U2-Al4Mg4Si4, β′-Mg9Si5, and β-Mg2Si. The calculated phonon densities of states indicate that these precipitated phases are vibrationally stable. Within the framework of the quasiharmonic approach, the finite-temperature thermodynamic properties of these precipitated phases including entropy, enthalpy, and Gibbs free energy have been calculated. The heat capacities at constant pressure for these precipitates are predicted. The finite-temperature entropies of formation, enthalpies of formation, and Gibbs free energy of formation for these precipitates are also computed. The acquired thermodynamic properties are expected to be utilized for the prediction of the metastable equilibria in the Al–Mg–Si alloys.


Precipitate Phase Helmholtz Free Energy Phonon Density Scientific Group Thermodata Europe Quasiharmonic Approximation 



The financial supports from the National Natural Science Foundation of China (NSFC) (Grant Nos. 50831007, 50801069), State Key Laboratory of High Performance Ceramics and Superfine Microstructures, Shanghai Institute of Ceramics, Chinese Academy of Sciences (Grant No. SKL201102SIC) and National Basic Research Program of China (2011CB610401), are acknowledged.


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Dongdong Zhao
    • 1
  • Liangcai Zhou
    • 1
  • Yi Kong
    • 1
  • Aijun Wang
    • 1
  • Jiong Wang
    • 1
  • Yingbiao Peng
    • 1
  • Yong Du
    • 1
    Email author
  • Yifang Ouyang
    • 2
  • Wenqing Zhang
    • 3
  1. 1.State Key Laboratory of Powder MetallurgyCentral South UniversityChangshaPeople’s Republic of China
  2. 2.Department of PhysicsGuangxi UniversityNanningPeople’s Republic of China
  3. 3.State Key Laboratory of High Performance Ceramics and Superfine Microstructure, Shanghai Institute of CeramicsChinese Academy of SciencesShanghaiPeople’s Republic of China

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