Skip to main content
SpringerLink
Log in

Determination of the width of the domain boundaries in polymer two-phase systems by X-ray small-angle scattering

  • Published:
Colloid and Polymer Science Aims and scope Submit manuscript

Abstract

An accurate determination of the width of domain boundaries presupposes an unambigous elimination of the intensity component due to density fluctuations within the domains. The theoretical aspects of this problem are discussed and an application is demonstrated in an SAXS study of a styrene-isoprene-styrene blockcopolymer. The widths of the domain boundaries depend on the history of the sample, its values are, in general, smaller than theoretically predicted. The domain sizes correspond to the theoretical values, its variance is of the same order as the variance of the molecular weight of the domain-building blocks.

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

Similar content being viewed by others

References

  1. Porod, G., Kolloid-Z. u. Z. Polymere124, 83 (1951), ibd.125, 51 (1952), ibd.125, 108 (1952).

    Article  CAS  Google Scholar 

  2. Hosemann, R., S. N. Bagchi, Direct Analysis of Diffraction by Matter, North-Holland Publishing Co., p. 605 (1962).

  3. Ruland, W., J. Appl. Cryst.4, 70 (1971).

    Article  Google Scholar 

  4. Vonk, C. G., J. Appl. Cryst.6, 81 (1973).

    Article  CAS  Google Scholar 

  5. Todo, A., T. Hashimoto, H. Kawai, J. Appl. Cryst.11, 558 (1978).

    Article  CAS  Google Scholar 

  6. Koberstein, J. T., B. Morra, R. S. Stein, J. Appl. Cryst.13, 34 (1980).

    Article  CAS  Google Scholar 

  7. Roe, R. J., M. Fishkis, J. C. Chang, Macromolecules14, 1091 (1981).

    Article  CAS  Google Scholar 

  8. Helfand, E., Y. Tagami, Polym. Letters9, 741 (1971), J. Chem. Phys.56, 3592 (1972), E. Helfand, M. Sapse, J. Chem. Phys.62, 1327 (1975), Helfand, E., Acc. Chem. Res.8, 295 (1975), Helfand, E., Macromolecules8, 552 (1975).

    Article  CAS  Google Scholar 

  9. Ruland, W., Colloque Franco-American sur la Diffusion des Rayons X et des Neutrons aux Petits Angles par les Polymères, Strasbourg 1980, Paper D 26.

  10. Hendus, H., K. H. Illers, E. Ropte, Kolloid Z. u. Z. Polym.216/217, 110 (1967).

    Article  CAS  Google Scholar 

  11. Kämpf, G., M. Hoffmann, H. Krömer, Ber. Bunsenges. Phys. Chem.74, 851 (1970).

    Google Scholar 

  12. Folkes, M., A. Keller, in: Physics of Glassy Polymers, R. N. Haward (ed.), London, Applied Science Publ., 1973.

    Google Scholar 

  13. Rayleigh, L., Proc. Roy. Soc. (London)A-84, 25 (1911).

    Article  Google Scholar 

  14. Guinier, A., G. Fournet, Small-Angle Scattering of X-Rays, J. Wiley & Sons Inc., London 1955.

    Google Scholar 

  15. Wiegand, W., W. Ruland, Progr. Colloid & Polymer Sci.66, 355 (1979).

    Article  CAS  Google Scholar 

  16. Ruland, W., Colloid & Polymer Sci.255, 417 (1977).

    Article  CAS  Google Scholar 

  17. Ruland, W., Colloid & Polymer Sci.256, 932 (1978).

    Article  Google Scholar 

  18. Pedemonte, E., A. Turturro, U. Bianchi, P. Devetta, Polymer14, 145 (1973).

    Article  CAS  Google Scholar 

  19. Stribeck, N., W. Ruland, J. Appl. Cryst.11, 535 (1978).

    Article  CAS  Google Scholar 

  20. Stribeck, N., Dissertation, Marburg 1980.

  21. Glatter, O., J. Appl. Cryst.7, 147 (1974), ibd.10, 415 (1977).

    Article  Google Scholar 

  22. Hildebrand, J. H., R. L. Scott, The Solubility of Nonelectrolytes, New York, 1964, Hildebrand, J. H., R. L. Scott, Regular Solutions, New Jersey, 1962.

  23. Meier, D. J., J. Polym. Sci.26, 81 (1969).

    Google Scholar 

  24. Helfand, E., Z. R. Wassermann, Macromolecules9, 879 (1976).

    Article  CAS  Google Scholar 

  25. Kanig, G., Private Communication.

Download references

Author information

Author notes

  1. W. Ruland

    Present address: Fachbereich Physikalische Chemie, Bereich Polymere, Philipps-Universität Marburg/Lahn, Deutschland

  2. U. Siemann

    Present address: Sandoz AG, Abt. 340/717, CH-4002, Basel

Authors and Affiliations

  1. Fachbereich Physikalische Chemie, Bereich Polymere, Philipps-Universität Marburg/Lahn, Deutschland

    U. Siemann

Authors
  1. U. Siemann
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. W. Ruland
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to Prof. Dr. Dr. h. c. O. Kratky on the occasion of his 80th birthday.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Siemann, U., Ruland, W. Determination of the width of the domain boundaries in polymer two-phase systems by X-ray small-angle scattering. Colloid & Polymer Sci 260, 999–1010 (1982). https://doi.org/10.1007/BF01451646

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01451646

Key words

Search

Navigation