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Unconventional Photoactive Solids pp 171–178Cite as

An Integrated Fractal Analysis of Silica: Electronic Energy Transfer, Small-Angle X-ray-Scattering and Adsorption

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Part of the book series: Institute for Amorphous Studies Series ((EPPS))

Abstract

The fractal dimension,D, of mesoporous silica gel was determined by four independent approaches: Analysis of one step dipolar energy transfer between adsorbed rhodamime B and malachite green; Analysis of small-angle X-ray scattering at the Porod regime; tiling the surface with molecules of different cross sectional area by adsorption; Analysing the change in surface area as a function of particle size. All four techniques agree in pointing to extreme surface wiggliness with D → 3. Besides confirmation of earlier indications to this high value, our multiple approach contributes to the mutual corroboration of the various theories involved. For comparison, flat-surfaced non-porous silica (Aerosil) was studied. All methods give D = 2.0.

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References

  1. J. Klafter, A. Blumen and G. Zumofen, J. Lumin, 31 /32: 627 (1984)

    Article  Google Scholar 

  2. H.D. Bale and P.W. Schmidt, Phys. Rev. Lett. 53: 596 (1984)

    Article  CAS  Google Scholar 

  3. D.W. Schaefer, J.E. Martin, P. Wiltzius and D.S. Cannel, Phys. Rev. Lett. 52: 2371 (1984)

    Article  CAS  Google Scholar 

  4. D. Avnir, D. Farin and P. Pfeifer, Nature (London), 308: 261 (1984)

    Article  CAS  Google Scholar 

  5. Silica, Woelm, No.04662; Lot No.90754/B; Particle size 63–200 m; N2-BET surface area 500–600 m2/gr average pore diameter 60R.

    Google Scholar 

  6. D. Farin, A. Volpert and D. Avnir, J.Am. Chem. Soc. 107: 3368 (1985);

    Article  CAS  Google Scholar 

  7. D. Avnir and P. Pfeifer, Nouv. J. Chin; 7. 71 (1983)

    CAS  Google Scholar 

  8. D. Avnir, D. Farin and P. Pfeifer, J. Colloid Interface Sci. 103: 112 (1985).

    Article  CAS  Google Scholar 

  9. P. Pfeifer and D. Avnir, J. Chem. Phys. 79: 3558 (1983)

    Article  CAS  Google Scholar 

  10. S. Brunauer, P.H. Emmett and E. Teller, J. Am. Chem. Soc. 60: 309, (1938).

    Article  CAS  Google Scholar 

  11. M. Drake et al, presented at this symposium.

    Google Scholar 

  12. J. Klafter and A. Blumen, J. Chem. Phys. 80: 875 (1984)

    Article  CAS  Google Scholar 

  13. D. Avnir, R. Busse, M. Ottolenghi, E. Wellner and K. Zachariasse, J. Phys. Chem. 89: 3521 (1985).

    Article  CAS  Google Scholar 

  14. D. Huppert, H. Kanety and E. M. Kosower, Chem. Phys. Lett. 84: 48, (1981).

    Article  CAS  Google Scholar 

  15. A.B. Myers and R.R. Birge, J. Chem. Phys. 73: 5314 (1980)

    Article  CAS  Google Scholar 

  16. E.g. D.L. Jordan, R.C. Hollins and E. Jakeman, Appl. Phys. B31: 179, (1983).

    Article  Google Scholar 

  17. O. Kratky and Z. Skala, Elektrochem, Ber.Bunsens. Phys. Chem. 62: 73 (1958).

    CAS  Google Scholar 

  18. Technology for Energy Corp. (Knoxville, Tennessee) Model 210

    Google Scholar 

  19. T.R. Taylor and P.W. Schmidt, Acta Physica Austriaca 25: 293 (1967)

    Google Scholar 

  20. J.S. Lin and P.W. Schmidt, J. Appl. Cryst. 7: 439 (1974)

    Article  Google Scholar 

  21. P.W. Schmidt and X. Dacai, submitted.

    Google Scholar 

  22. K.K. Unger, “Porous Silica” J. Chromat. Library, Vol. 16, Elsevier, Amsterdam, 1979;

    Google Scholar 

  23. R.K. Iler, “The Chemistry of Silica” John Wiley & Sons, New York 1979.

    Google Scholar 

  24. A. Guinier, G. Fournet, C.B. Walker, Jr. and K.L. Yudowitch, “Small-Angle Scattering of X-rays”, Wiley, New York, 1955, pp.78–79 (Equations (106) and (107).

    Google Scholar 

  25. P.J.M. Carrot and K.S.W. Sing, Adsorption Sci.Tech., 1: 31 (1984)

    Google Scholar 

  26. P. Pfeifer. Appl. Surf. Sci. 18: 146 (1984)

    Article  CAS  Google Scholar 

  27. D. Avnir, D. Farin and P. Pfeifer, J. Chem. Phys. 79: 3566 (1983)

    Article  CAS  Google Scholar 

  28. D.W. Schaefer, J.E. Martin, A.J. Hurd and K.D. Keefer, Preprint 1984

    Google Scholar 

  29. D. Pines-Rojansky, D. Huppert, D. Avnir, Chem. Phys. Lett. 139: 109 (1987).

    Article  Google Scholar 

  30. R. Kopelman, Book of Abstracts of this Symposium.

    Google Scholar 

  31. U. Even, K. Rademann, J. Jortner, N. Manor and R. Reisfeld, Phys. Rev. Lett. 52: 2164 (1984). Also in J. Lumin, 31 /32: 634 (1984)

    Google Scholar 

  32. B.V. Enustun, J. Eckrich and T. Demirel, Proc. Int. Symp. Particulate and Multi-Phase processes, Florida Apr.1985.

    Google Scholar 

  33. K. Kadokura, Ph.D. Dissertation, University of California, Los Angeles, 1983.

    Google Scholar 

  34. C.L. Yang, P. Evesque and M.A. El-Sayed, J. Phys. Chem. 89: 3442 (1985).

    Article  CAS  Google Scholar 

  35. A.G. Tweet, W.D. Bellamy and G.L.Gaines, J. Chem. Phys. 41: 2068 (1964);

    Article  CAS  Google Scholar 

  36. M. Hauser, U.K.A. Klein and U. Gosele, Z. Phys. Chem. N.F. 101: 255, (1976);

    Article  CAS  Google Scholar 

  37. P.K. Woller and B.S. Hudson, Biophys J. 28:197 “Fluorescent Probes”, G.S. Beddard and M.A. West, Ed’s, Academic Press, London 1981.

    Google Scholar 

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Author information

Authors and Affiliations

  1. School of Chemistry, Tel Aviv University, Tel Aviv, 69978, Israel

    D. Rojanski-Pines & D. Huppert

  2. Physics Dept., University of Missouri, Columbia, Missouri, 65211, USA

    H. B. Bale, X. Dacai & P. W. Schmidt

  3. Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel

    D. Farin, A. Seri-Levy & D. Avnir

Authors
  1. D. Rojanski-Pines
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  2. D. Huppert
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  3. H. B. Bale
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  4. X. Dacai
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  5. P. W. Schmidt
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  6. D. Farin
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  7. A. Seri-Levy
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  8. D. Avnir
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Editor information

Editors and Affiliations

  1. Research Center Warrensville, BP Research International, Cleveland, Ohio, USA

    Harvey Scher

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© 1988 Plenum Press, New York

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Rojanski-Pines, D. et al. (1988). An Integrated Fractal Analysis of Silica: Electronic Energy Transfer, Small-Angle X-ray-Scattering and Adsorption. In: Scher, H. (eds) Unconventional Photoactive Solids. Institute for Amorphous Studies Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0727-3_17

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  • DOI: https://doi.org/10.1007/978-1-4613-0727-3_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8052-1

  • Online ISBN: 978-1-4613-0727-3

  • eBook Packages: Springer Book Archive

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