Fractal-Like Exciton Kinetics in Porous Glasses, Membranes and Powders

  • J. Prasad
  • S. Parus
  • R. Kopelman
Part of the Institute for Amorphous Studies Series book series (EPPS)

Abstract

We have measured the exciton (triplet) recombination (fusion, anni­hilation) characteristics of naphthalene-doped microporous materials. This technique yields the dynamic (spectral, fracton) dimension of the embedded naphthalene structure or the effective random walk dimension of the porous network. Temperature studies separate the energetic and geometric features of the pore space. The geometric dynamic (spectral) dimensions are mostly between 1 and 2, i.e. fractal-like, and are consistent with previous results on the static (fractal or Euclidean) dimensions of the porous vycor glass samples.

Keywords

Porous Glass Percolation Cluster Continuous Time Random Walk Nominal Pore Size Cellulose Filter Paper 
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.

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References

  1. 1.
    U. Even, K. Rademann, J.Jortner, N. Manor and R. Reisfeld, Phys. Rev. Lett. 42:2164 (1984).CrossRefGoogle Scholar
  2. 2.
    J. Klafter, A. Blumen and G. Zumofen, J. Stat. Phys. 36: 561 (1984).CrossRefGoogle Scholar
  3. 3.
    C. L. Yang, P. Evesque and M. A. El-Sayed, J. Phys. Chem. 89: 3442 (1985).CrossRefGoogle Scholar
  4. 4.
    A. J. Katz and A. H. Thompson, Phys. Rev. Lett. 54:1325(1985).CrossRefGoogle Scholar
  5. 5.
    Y. Gefen,A. Aharony and S. Alexander, Phys. Rev. Lett. 50:77(1983).CrossRefGoogle Scholar
  6. 6.
    S. Alexander and R. Orbach, J. Phys. (Paris) Lett. 54: L625 (1982).CrossRefGoogle Scholar
  7. 7.
    R. Rammal and G. Toulouse, J. Phys. (Paris) Lett. L13 (1983).Google Scholar
  8. 8.
    W. D. Dozier, J. M. Drake and J. Klafter, Phys. Rev. Lett. (Jan. 86).Google Scholar
  9. 9.
    L. A. Harmon and R. Kopelman, J. Lumin. 31 /32: 660 (1984).CrossRefGoogle Scholar
  10. 10.
    E. I. Newhouse and R. Kopelman, J. Lumin. 31 /32: 651 (1984).CrossRefGoogle Scholar
  11. 11.
    R. Kopelman, J. Stat. Phys. 42: 185 (1986).CrossRefGoogle Scholar
  12. 12.
    R. Kopelman and P. Argyrakís, J. Chem. Phys. 72: 3053 (1980).CrossRefGoogle Scholar
  13. 13.
    P. G. de Gennes, C. R. Acad. Scí. Ser. A296: 881 (1983).Google Scholar
  14. 14.
    I. Webman, Phys. Rev. Lett. 52: 220 (1984).CrossRefGoogle Scholar
  15. 15.
    K. Kang and S. Redner, Phys. Rev. Lett. 52: 955 (1984).CrossRefGoogle Scholar
  16. 16.
    P. Meakin and H. E. Stanley, J. Phys. A 17: L173 (1984).CrossRefGoogle Scholar
  17. 17.
    P. W. Klymko and R. Kopelman, J. Phys. Chem. 87: 4565 (1984).CrossRefGoogle Scholar
  18. 18.
    P. Evesque and J. Duran, J. ChemPhys. 80: 3016 (1984).CrossRefGoogle Scholar
  19. 19.
    J. S. Newhouse, P. Argyrakis and R. Kopelman, Chem. Phem. Phys. Lett.107:3747(1984).Google Scholar
  20. 20.
    A Aharony and D. Stauffer, Phys Rev. Lett. 52: 2368 (1984).CrossRefGoogle Scholar
  21. 21.
    R. Kopelman, P. W. Klymko, J. S. Newhouse and L. W. Anacker, Phys Rev. B 29: 3747 (1984).CrossRefGoogle Scholar
  22. 22.
    L. W. Anacker and R. Kopelman, J. Chem. Phys. 81: 6402 (1984).CrossRefGoogle Scholar
  23. 23.
    D. C. Ahlgren, Ph.D. Thesis, University of Michigan (1979).Google Scholar
  24. 24.
    J. S. Newhouse, Ph.D. Thesis, University of Michigan (1985).Google Scholar
  25. 25.
    L. A. Harmon, Ph.D. Thesis, University of Michigan (1985).Google Scholar
  26. 26.
    L. W. Anacker, R. Kopelman and J. S. Newhouse, J. Stat. Phys. 36: 591 (1984).CrossRefGoogle Scholar
  27. 27.
    L. W. Anacker, R. Kopelman and J. S. Newhouse, J. Stat. Phys. 36: 591 (1984).CrossRefGoogle Scholar
  28. 28.
    L. W. Anacker, L. Lee and R. Kopelman (unpublished).Google Scholar

Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • J. Prasad
    • 1
  • S. Parus
    • 1
  • R. Kopelman
    • 1
  1. 1.Department of ChemistryThe University of MichiganAnn ArborUSA

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