Skip to main content
Log in

Thermodynamic considerations of the grain size dependency of material properties

A new approach to explain the variation of the dielectric permittivity of BaTiO3 with grain size

  • Technological Studies
  • Published:
Journal of thermal analysis Aims and scope Submit manuscript

Abstract

Phase transitions which depend on grain size induce very interesting properties in materials such as zirconia or barium titanate. A new and rigorous thermodynamic treatment of this type of phase transition is proposed with consideration of the surface phenomena. An interpretation is given of the observed differences when the material—particularly BaTiO3—under consideration is a fine grain powder or is a fine grain ceramic.

Zusammenfassung

Korngrößenabhängige Phasenumwandlungen verursachen bei Materialien wie Zirkonerde oder Bariumtitanat sehr interessante Eigenschaften. Unter Berücksichtigung der Oberflächenerscheinungen wurde ein neue und gründliche thermodynamische Behandlung dieses Typs von Phasenumwandlungen vorgeschlagen. Es wird eine Erörterung der beobachteten Differenzen in Abhängigkeit davon angestellt, ab das untersuchte Material—hier BaTiO3—ein feingekörntes Pulver oder eine feingekörnte Keramik ist.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Stevens, Zirconia and Zirconia Ceramics, Magnesium Elektron Ltd, July 1986, pp. 17–20.

  2. A. Morell and J. C. Niepce, J. Mat. Ed., 13 (1991) 173.

    CAS  Google Scholar 

  3. H. Kniepkamp and W. Heywang, Z. Angew. Phys., 6 (1954) 385.

    Google Scholar 

  4. G. H. Jonker and W. Noorlander, Science of Ceramics, Ed., G. H. Stewart, Acad. Press, Vol. 1, 1962, p. 255.

  5. W. R. Buessem, L. E. Cross and A. K. Goswami, J. Amer. Ceram. Soc., 49 (1966) 33.

    Article  CAS  Google Scholar 

  6. K. Kinoshita and A. Yamaji, J. Appl. Phys., 47 (1976) 371.

    Article  CAS  Google Scholar 

  7. G. Arlt, D. Hennings and G. De With, J. Appl. Phys., 58 (1985) 1619.

    Article  CAS  Google Scholar 

  8. D. Hennings, Int. J. High Techn. Ceram., 3 (1987) 91.

    Article  CAS  Google Scholar 

  9. W. Kanzig, Phys. Rev., 98 (1955) 549.

    Article  CAS  Google Scholar 

  10. K. Uchino, E. Sadanaga and T. Hirose, J. Amer. Ceram. Soc., 72 (1989) 1555.

    Article  CAS  Google Scholar 

  11. S. Malbe, J. C. Mutin and J. C. Niepce, J. Chim. Phys., 89 (1992) 825.

    CAS  Google Scholar 

  12. G. Caboche, F. Chaput, J. P. Boilot and J. C. Niepce, J. Europ. Ceram. Soc. (Submitted for publication).

  13. G. Caboche and J. C. Niepce, Dielectric Ceramics Symposium. The Amer. Ceram. Soc. West Cost Annual Meeting, San Francisco (USA), November 1992 (Proceedings).

  14. T. Tanaka, T. Yoshikawa and K. Kubota, Solid State Com., 62 (1987) 765.

    Article  Google Scholar 

  15. R. C. Garvie, J. Phys. Chem., 69 (1965) 1238.

    CAS  Google Scholar 

  16. R. C. Garvie, R. H. Hannink and R. T. Pascoe, Nature, 258 (1975) 703.

    Article  CAS  Google Scholar 

  17. F. F. Lange, J. Mat. Sc., 17 (1982) 225.

    Article  CAS  Google Scholar 

  18. N. Claussen and M. Rühle, ‘Design of Transformation Toughened Cermaics’ in A. H. Heuer and L. W. Hobbs (eds) ‘Advances in Ceramics Vol. 3’ Science and Technology of Zirconia. The Am. Ceram. Soc., Colombus, Ohio, 1981, p. 137.

    Google Scholar 

  19. N. Claussen, ‘Microstructural Design of Zirconia Toughened Ceramics (ZTC)’ in N. Claussen, M. Rühle and A. H. Heuer (Ed.) ‘Advances in Ceramics Vol. 12’, Science and Technology of Zirconia II, The Am. Ceram. Soc., Colombus, Ohio, 1983.

    Google Scholar 

  20. A. Methivier, ‘Experimental and Theoretical Study of the Structural and Textural Evolution of Pure and Doped Zirconia Powders’. Thesis, Saint-Etienne, France 1992.

  21. D. Turnbull, Solid State Physics, Vol. 3, Academic Press Inc, New York 1956, p. 236.

    Google Scholar 

  22. V. N. Filipovich, A. M. Kalinina, Struct. Glass, 5 (1965) 34–38.

    Google Scholar 

  23. P. Ayyub, M. S. Multani, M. Barma, V. R. Palkar and R. Vijayaraghavan, J. Physics C: Solid State Physics, 21 (1988) 2229.

    Article  CAS  Google Scholar 

  24. M. S. Multani and P. Ayyub, Condensed Matter News, 1 (1991) 25.

    CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

In celebration of the 60th birthday of Dr. Andrew K. Galwey

Rights and permissions

Reprints and permissions

About this article

Cite this article

Perriat, P., Niepce, J.C. & Caboche, G. Thermodynamic considerations of the grain size dependency of material properties. Journal of Thermal Analysis 41, 635–649 (1994). https://doi.org/10.1007/BF02549339

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02549339

Key words

Navigation