Determination of Nanosize Particle Distribution by Low Frequency Raman Scattering: Comparison to Electron Microscopy

  • M. Ivanda
  • A. M. Tonejc
  • I. Djerdj
  • M. Gotić
  • S. Musić
  • G. Mariotto
  • M. Montagna
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 588)


The methodology for the determination of a nanosized particle distribution by low frequency Raman spectroscopy is described. It is based on a ν -1 dependence of the Raman light of the vibration coupling coefficient C(ν) and on the fact that each nanocrystalite of diameter D vibrates with its eigenfrequency í α 1/D. The effect of the particle vibrational lifetime on the shape of the distribution is analyzed and found to be negligible for free TiO2 nanoparticles. The size distributions of TiO2 nanoparticles estimated by Raman spectroscopy were compared to those obtained by transmission electron microscopy including dark field and high resolution imaging. The Raman spectroscopy was shown to be a simple, fast method that has favourable statistics due to a macroscopic probe volume and makes in situ measurements possible.


Particle Size Distribution High Resolution Transmission Electron Microscopy Sound Velocity High Resolution Transmission Electron Microscopy Particle Mode 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    T. Inokuma, D. Ricard, J. Lukasik, and C. Flytzanis, Phys. Rev. B 42, 11093 (1990).CrossRefGoogle Scholar
  2. 2.
    E. Duval, A. Boukenter and B. Champagnon, Phys. Rev. Lett. 56, 2052 (1986).CrossRefGoogle Scholar
  3. 3.
    N. N. Ovsyuk, E. B. Gorokhov, V. V. Grischenko, and A. P. Shebanin, Pisma Zh. Eksp. Teor. Fiz. 47, 248 (1988). [JETP Lett. 47, 298 (1988).]Google Scholar
  4. 4.
    G. Mariotto, M. Montagna, G. Viliani, E. Duval, S. Lefra, E. Rzepka, and C. Mai, Europhys. Lett. 6, 239 (1988).CrossRefGoogle Scholar
  5. 5.
    M. Fuji, T. Nagareda, S. Hayashi, and K. Yamamoto, Phys. Rev. B 12, 6243 (1991).CrossRefGoogle Scholar
  6. 6.
    T. Bishof, M. Ivanda, G. Lermann, A. Materny, W. Kiefer, and J. Kalus, J. Raman Spectr. 27, 297–302 (1996).CrossRefGoogle Scholar
  7. 7.
    A. Tanaka, S. Onari, and T. Arai, Phys. Rev. B 47, 1237 (1993).CrossRefGoogle Scholar
  8. 8.
    P. Varma, W. Cordts, G. Irmer, and J. Moncke, Phys. Rev. B 60, 5778 (1999).CrossRefGoogle Scholar
  9. 9.
    K.E. Lipinska-Kalita, G. Mariotto, and E. Zanghellini, Phil. Mag. B 71, 547 (1995).CrossRefGoogle Scholar
  10. 10.
    M. Fuji, Y. Kanzawa, S. Hayashi, and K. Yamamoto, Phys. Rev. B 54, R8373 (1996).CrossRefGoogle Scholar
  11. 11.
    M. Gotić, M. Ivanda, A. Sekulić, S. Musić, S. Popović, A. Turković, and K. Furić, Mater. Lett. 28, 225 (1996); S. Musić, M. Gotić, M. Ivanda, S. Popović, A. Turković, R. Trojko, A. Sekulić, and K. Furić, Mater. Sci. Eng. B47, 33 (1997). M. Gotić, M. Ivanda, S. Popović, S. Musić, A. Sekulić, A. Turković and K. Furić, J. Raman Spectr. 28, 555 (1997); M. Ivanda, S. Musić, S. Popović, M. Gotić, J. Mol. Struct. 480&481, 645 (1999).CrossRefGoogle Scholar
  12. 12.
    A. Dieguez, A. Romano-Rodriguez, J. R. Morante, N. Barsan, U. Weimar, and W. Göpel, Appl. Phys. Lett. 71, 1957 (1997).CrossRefGoogle Scholar
  13. 13.
    H. Lamb, Proc. London Math. Soc. 13, 189 (1882).CrossRefGoogle Scholar
  14. 14.
    M. Montagna and R. Dusi, Phys. Rev. B 52, 10080 (1995).CrossRefGoogle Scholar
  15. 15.
    A. Tamura, K. Higeta and I. Ichinokawa, J. Phys. C 15, 4975 (1982).CrossRefGoogle Scholar
  16. 16.
    E. Duval, Phys. Rev. B 46, 5795 (1992).CrossRefGoogle Scholar
  17. 17.
    R. Shuker and R. W. Gammon, Phys. Rev. Lett. 25, 222 (1970).CrossRefGoogle Scholar
  18. 18.
    M. Ivanda et al, to be published.Google Scholar
  19. 19.
    M. Ivanda and K. Furic, Appl. Optics 31, 6371 (1992).CrossRefGoogle Scholar
  20. 20.
    U. Balachandran and N.G. Eror, J. Solid State Chem. 42, 276 (1982).CrossRefGoogle Scholar
  21. 21.
    G. A. Tompsett, G. A. Bowmaker, R. P. Cooney, J.B. Metson, K.A. Rodgers, J.M. Seakins, J. Raman Spectr. 26, 57 (1995).CrossRefGoogle Scholar
  22. 22.
    T. D. Krauss and F. W. Wise, Phys. Rev. Lett. 79, 5102 (1997).CrossRefGoogle Scholar
  23. 23.
    A. M. Tonejc, M. Gotić, B. Grzeta, S. Musić, S. Popović, R. Trojko, A. Turković, and I. Muević, Mater. Sci. and Eng. B 40, 177 (1996); A.M. Tonejc, A. Turković, M. Gotić, S. Musić, M. Vuković, R. Trojko, and A. Tonejc, Mater. Lett. 31, 127 (1997). A.M. Tonejc, I Djerdj, M. Gotić, M. Tudja, S. Popović, A. Tonejc and S. Musić, Proc. of 4th MCEM, Veszprem, Hungary, 375 (1999).CrossRefGoogle Scholar
  24. 24.
    J. Aitchinson and J.A.C Brown, The log-normal distribution (Cambridge Univ. Press, Cambridge, 1973).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • M. Ivanda
    • 1
    • 3
  • A. M. Tonejc
    • 2
  • I. Djerdj
    • 2
  • M. Gotić
    • 1
  • S. Musić
    • 1
  • G. Mariotto
    • 3
  • M. Montagna
    • 3
  1. 1.Rudjer Bošković InstituteZagrebCroatia
  2. 2.Faculty of Sciences, Department of PhysicsUniversity of ZagrebZagrebCroatia
  3. 3.Instituto Nazionale per la Fisica della Materia, Dipartimento di FisicaUniversità di TrentoTrentoItaly

Personalised recommendations