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Crystallography Reports

, Volume 52, Issue 3, pp 500–504 | Cite as

Spherical sector model for describing the experimental small-angle neutron scattering data for dendrimers

  • A. V. Rogachev
  • A. Yu. Cherny
  • A. N. Ozerin
  • V. I. Gordeliy
  • A. I. Kuklin
Nanostructures

Abstract

A new model for interpreting the results of small-angle neutron scattering from dendrimer solutions is proposed. The mathematical description is given and the theoretical small-angle scattering curves for spherical sectors with different parameters are presented. It is shown that the model proposed is in good agreement with the experimental results. Comparison of the experimental small-angle neutron scattering curves for polyallylcarbosilane dendrimers of the ninth generation with model scattering curves suggests that the inner dendrimer sphere is permeable to a solvent whose density is lower than the density of the solvent beyond the dendrimer by a factor of at least 2.

PACS numbers

61.25.Hq 

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References

  1. 1.
    D. A. Tomalia, A. M. Naylov, and W. A. Goddard, Angew. Chem., Int. Ed. Engl. 29(2), 138 (1990).CrossRefGoogle Scholar
  2. 2.
    A. M. Muzafarov and E. A. Rebrov, Polymer Sci. C 42(1), 55 (2000).Google Scholar
  3. 3.
    R. Scherrenberg, B. Coussens, P. Vliet, et al., Macromolecules 31, 456 (1998).CrossRefADSGoogle Scholar
  4. 4.
    T. J. Prosa, B. J. Bauer, and E. J. Amis, Macromolecules 34, 4897 (2001).CrossRefADSGoogle Scholar
  5. 5.
    E. A. Tatarinova, E. A. Rebrov, V. D. Myakushev, et al., Izv. Akad. Nauk, Ser. Khim. No. 11 (2004).Google Scholar
  6. 6.
    B. V. Lebedev, M. V. Ryabkov, E. A. Tatarinova, et al., Izv. Akad. Nauk, Ser. Khim., No. 3 (2003).Google Scholar
  7. 7.
    P. de Gennes and H. Hervet, J. Phys. (Paris) 44, L351 (1993).Google Scholar
  8. 8.
    A. I. Kuklin, G. M. Ignat’eva, L. A. Ozerina, et al., Polym. Sci. A 44(12), 1 (2002).Google Scholar
  9. 9.
    D. Svergun, Biophysics 76, 2879 (1999).CrossRefGoogle Scholar
  10. 10.
    D. I. Svergun, J. Appl. Crystallogr. 25, 495 (1992).CrossRefGoogle Scholar
  11. 11.
    P. V. Konarev, M. V. Petoukhov, and D. I. Svergun, J. Appl. Crystallogr. 34, 527 (2001).CrossRefGoogle Scholar
  12. 12.
    A. N. Ozerin, D. I. Svergun, V. V. Volkov, et al., J. Appl. Crystallogr. 38, 996 (2005).CrossRefGoogle Scholar
  13. 13.
    A. I. Kuklin, A. Kh. Islamov, and V. I. Gordeliy, Neutron News 16(3), 16 (2005).CrossRefGoogle Scholar
  14. 14.
    A. I. Kuklin, A. Kh. Islamov, Yu. S. Kovalev, et al., Poverkhnost, No. 6, 74 (2006).Google Scholar
  15. 15.
    E. A. Tatarinova, E. A. Rebrov, V. D. Myakushev, et al., Izv. Akad. Nauk, Ser. Khim., No. 11 (2004).Google Scholar
  16. 16.
    A. G. Solov’ev, T. M. Solov’eva, A. V. Stadnik, et al., Report OIYaI R10-86 (2003).Google Scholar
  17. 17.
    Yu. M. Ostanevich, J. Macromol. Sci., Chem., Macromol. Symp. 15, 91 (1988).Google Scholar
  18. 18.
    A. G. Soloviev, E. I. Litvinenko, A. J. Ososkov, et al., Nucl. Instrum. Methods Phys. Res., Sect. A 502(2–3), 498 (2003).ADSGoogle Scholar
  19. 19.
    D. I. Svergun and L. A. Feĭgin, X-ray and Small-Angle Neutron Scattering (Nauka, Moscow, 1986) [in Russian].Google Scholar
  20. 20.
    I. S. Gradstein and I. Ryzhik, Tables of Integrals, Series, and Products (Academic, New York, 1980).Google Scholar

Copyright information

© Pleiades Publishing, Inc. 2007

Authors and Affiliations

  • A. V. Rogachev
    • 1
    • 2
  • A. Yu. Cherny
    • 1
  • A. N. Ozerin
    • 3
  • V. I. Gordeliy
    • 1
    • 4
    • 5
  • A. I. Kuklin
    • 1
  1. 1.Joint Institute for Nuclear ResearchDubna, Moscow oblastRussia
  2. 2.Moscow State UniversityLeninskie gory, MoscowRussia
  3. 3.Institute of Synthetic Polymer MaterialsRussian Academy of SciencesMoscowRussia
  4. 4.Moscow Institute of Physics and TechnologyDolgoprudnyĭ, Moscow oblastRussia
  5. 5.Research Centre JüelichJüelichGermany

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