Skip to main content
SpringerLink
Log in

Model of Fractal Particles of Hydrated Zirconium Dioxide, Based on Small-Angle Neutron Scattering Data

  • Published:
Journal of Surface Investigation: X-ray, Synchrotron and Neutron Techniques Aims and scope Submit manuscript

Abstract

The parameters of the mesostructure of amorphous zirconium dioxide and their evolution at different stages of heat treatment are determined by small-angle neutron scattering. Particles of amorphous zirconium dioxide, which form mass fractals with the dimension Dv = 2.21, are rearranged into surface fractals with a surface dimension of Ds = 2.52 upon annealing at a temperature of 400°C or higher. In the resulting system, a shell with a fractal structure is formed over a dense core (a cluster of nanoparticles of zirconium dioxide with a constant density). Transformation of the fractal system from a mass fractal into a surface one is characterized by the appearance of a core, and its growth is due to the crystallization of hydrated zirconia particles at high temperatures. A model for the formation of a fractal particle, implying the existence of a core–shell surface fractal system, is proposed. The characteristic radius of ZrO2 nanoparticles increases from 14 to 200 Å with an increase in the annealing temperature from 400 to 600°C.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

Similar content being viewed by others

REFERENCES

  1. I. Beurroies, L. Duffours, P. Delord, et al., J. Non-Cryst. Solids 38, 241 (1998).

    Google Scholar 

  2. H. Xie, J. Wang, and P. Qan, Phys. Lett. A., 218, 275 (1996).

    Article  CAS  Google Scholar 

  3. A. Emmerling, W. Lenhard, J. Fricke, et al., J. Sol-Gel Sci. Technol. 8, 837 (1997).

    CAS  Google Scholar 

  4. W. L. Huang, S. H. Cui, K. M. Liang, et al., J. Phys. Chem. Solids 63, 645 (2002).

    Article  CAS  Google Scholar 

  5. W. L. Huang, S. H. Cui, K. M. Liang, et al., J. Phys. Chem. Solids 62, 1205 (2001).

    Article  CAS  Google Scholar 

  6. W. L. Huang, K. M. Liang, S. H. Cui, et al., Matter. Lett. 46, 136 (2000).

    Article  CAS  Google Scholar 

  7. D. Sen, A. K. Parta, S. Mazumder, et al., J. Alloys Compd. 340, 236 (2002).

    Article  CAS  Google Scholar 

  8. H. J. Glass and G. de With, Mater. Charact. 47, 27 (2001).

    Article  CAS  Google Scholar 

  9. V. K. Ivanov, G. P. Kopitsa, A. Ye. Baranchikov, et al., Russ. J. Inorg. Chem 54 (14), 2091 (2009).

    Article  Google Scholar 

  10. V. K. Ivanov, G. P. Kopitsa, A. Ye. Baranchikov, et al., Russ. J. Inorg. Chem 55 (2), 155 (2010).

    Article  CAS  Google Scholar 

  11. V. K. Ivanov, G. P. Kopitsa, A. Ye. Baranchikov, et al., J. Phys. Chem. Solids 75, 296 (2014).

    Article  CAS  Google Scholar 

  12. G. P. Kopitsa, V. K. Ivanov, S. V. Grigoriev, et al., JETP Lett. 85, 122 (2007).

    Article  CAS  Google Scholar 

  13. V. K. Ivanov, G. P. Kopitsa, S. V. Grigoriev, et al., Phys. Solid State 52, 957 (2010).

    Article  CAS  Google Scholar 

  14. I. A. Stenina, E. Yu. Voropaeva, T. R. Brueva, et al., Russ. J. Inorg. Chem 53 (6), 842 (2008).

    Article  Google Scholar 

  15. G. D. Wignall and F. S. Bates, J. Appl. Crystallogr. 20, 28 (1987).

    Article  CAS  Google Scholar 

  16. W. Schmatz, T. Springer, J. Schelten, et al., J. Appl. Crystallogr. 7, 96 (1974).

    Article  CAS  Google Scholar 

  17. G. Beaucage, “Combined small-angle scattering for characterization of hierarchically structured Polymer systems over nano-to-micron meter: part II theory”, in Polymer Science: A Comprehensive Reference, Ed. by K. Matyjaszewski and M. Möller (Elsevier BV, Amsterdam, 2012), Vol. 2, p. 399.

    Google Scholar 

  18. W. Paul, S. Schmidt, D. Avnir, et al., J. Chem. Phys. 94, 1474 (1991).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Konstantinov Institute of Nuclear Physics, 188300, St. Petersburg, Gatchina, Leningrad oblast, Russia

    L. A. Azarova, G. P. Kopitsa, E. G. Iashina & S. V. Grigoriev

  2. St. Petersburg State University, 198504, St. Petersburg, Russia

    L. A. Azarova, E. G. Iashina & S. V. Grigoriev

  3. Helmholtz Zentrum Geesthacht, D-21502, Geesthacht, Germany

    V. M. Garamus

Authors
  1. L. A. Azarova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. P. Kopitsa
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. G. Iashina
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. V. M. Garamus
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. S. V. Grigoriev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to L. A. Azarova.

Additional information

Translated by O. Zhukova

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Azarova, L.A., Kopitsa, G.P., Iashina, E.G. et al. Model of Fractal Particles of Hydrated Zirconium Dioxide, Based on Small-Angle Neutron Scattering Data. J. Surf. Investig. 13, 908–913 (2019). https://doi.org/10.1134/S1027451019050215

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1027451019050215

Keywords:

Search

Navigation