Journal of Materials Science

, Volume 41, Issue 23, pp 7725–7729 | Cite as

Grain boundary excess free volume—direct thermodynamic measurement

  • L. S. Shvindlerman
  • G. GottsteinEmail author
  • V. A. Ivanov
  • D. A. Molodov
  • D. Kolesnikov
  • W. Łojkowski


The grain boundary excess free volume (BFV) along with the surface tension determines the major thermodynamic properties of grain boundaries. The BFV controls to a large extent the evolution and stability of polycrystals. Unfortunately, our knowledge about the BFV is completely restricted to data generated by computer simulations, which, in turn, are strictly limited to grain boundaries in the vicinity of special misorientations. We developed a special technique that makes it possible to measure the BFV for practically any grain boundary and provides a way of estimating the BFV for grain boundaries of different classes with high accuracy. A knowledge of the BFV is especially important for fine grained and nanocrystalline systems where it opens new possibilities to design the physical properties and microstructure of such polycrystals.


Contact Angle Hydrostatic Pressure Electrical Discharge Machine Screw Dislocation Boundary System 



Financial assistance from the Deutsche Forschungsgemeinschaft (Grant MO 848/7-1) is gratefully acknowledged. The cooperation was supported by the Deutsche Forschungsgemeinschaft (DFG Grant 436 RUS 113/714/0-1(R)) and the Russian Foundation of Fundamental Research (Grant DFG-RRFI 05-02-04017).


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Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  • L. S. Shvindlerman
    • 1
  • G. Gottstein
    • 2
    Email author
  • V. A. Ivanov
    • 2
  • D. A. Molodov
    • 2
  • D. Kolesnikov
    • 3
  • W. Łojkowski
    • 3
  1. 1.Institute of Solid State Physics, Russian Academy of SciencesChernogolovka, Moscow DistrictRussia
  2. 2.Institut für Metallkunde und Metallphysik, RWTH AachenAachenGermany
  3. 3.Institute of High Pressure Physics, Polish Academy of SciencesWarsawPoland

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