Journal of Nanoparticle Research

, Volume 12, Issue 5, pp 1859–1868 | Cite as

Phase transformations of nanoparticles exposed to hydrostatic pressure

  • Dieter Vollath
  • Franz Dieter Fischer
Research Paper


A thermodynamic analysis of phase transformations of nanoparticles under hydrostatic pressure has revealed important differences between phase transformations under isothermal or adiabatic conditions. This presuppositionless analysis fully explains a hysteresis with respect to the phase fraction and the pressure observed experimentally. It is important to mention that the results of this analysis may be transferred to the role of any external volumetric field acting on phase transforming nanoparticles. Typical examples are phase transformations of ferromagnetic intermetallics subjected to the influence of magnetic fields.


Nanocrystalline material Phase transformation Thermodynamics Fluctuation Hysteresis Hydrostatic pressure Heat transfer Modeling and simulation 


  1. Carslaw HS, Jaeger JC (1976) Conduction of heat in solids, 2nd edn. Clarendon Press, Oxford. Reprint, sect. 9.4Google Scholar
  2. Chen C-C, Herhold AB, Johnson CS, Alivisatos AP (1997) Size dependence of structural metastability in semiconductor nanocrystals. Science 276:398–401CrossRefPubMedGoogle Scholar
  3. Frank Ph, von Mises R (1961) Die Differential- und Intergralgleichungen der Mechanik und der Physik, vol II, sect. XIII, §2, equ. (49). Dover Publication Inc, New YorkGoogle Scholar
  4. Kim J-H, Fukuda T, Kakeshita T (2006) Effects of magnetic field and hydrostatic pressure on the martensitic transformation temperature of Ni–Mn–Ga ferromagnetic shape memory alloys. Mater Sci Eng A 438–440:952–956Google Scholar
  5. Vollath D, Fischer FD (2009a) Structural fluctuations in ensembles of nanoparticles. J Nanopart Res 11:647–654CrossRefGoogle Scholar
  6. Vollath D, Fischer FD (2009b) Bistability, hysteresis and fluctuations in adiabatic ensembles of nanoparticles. J Nanopart Res 11:1485–1500CrossRefGoogle Scholar
  7. Vollath D, Szabó DV (1994) Nanocoated particles: a special type of ceramic powder. Nanostruct Mater 4:927–938CrossRefGoogle Scholar
  8. Vollath D, Szabó DV (1998) Synthesis of coated nanoparticulate ceramic powders. In: Materials Research Society symposium proceedings vol 520, pp 143–148Google Scholar
  9. Wales DJ, Berry RS (1994) Coexistence in finite systems. Phys Rev Lett 73:2875–2878CrossRefPubMedADSGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.NanoConsultingStutenseeGermany
  2. 2.Institute of MechanicsMontanuniversität LeobenLeobenAustria

Personalised recommendations