Skip to main content
Log in

Macro-and microphase separation in nonaqueous solutions of binary multiblock copolymers

  • Theory
  • Published:
Polymer Science Series A Aims and scope Submit manuscript

Abstract

In terms of the random phase approximation, a global analysis of the thermodynamic stability of solutions of multiblock copolymers (AnBm)k and (AnBm)kAn was performed. Phase diagrams for various parameters of the copolymer structure including the macrophase and microphase separation regions were obtained. Critical lines near which this approximation still holds and the microphase separation corresponds to the weak segregation mode were also constructed. The formation of ordered structures with a period of the order of a wavelength of visible light becomes possible under certain conditions. It was shown that the homogeneous state of solutions of multiblock copolymers in certain narrow ranges of values of the parameters breaks down through a simultaneous growth of fluctuations with substantially different wavelengths, a phenomenon which must lead to the appearance of structures ordered at two length scales. The width of such regions increases with an increase in the number of blocks k and a decrease in the degree of polymerization n + m of a block. The potential use of these multiblock-copolymer solutions as photonic crystals is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. P. J. Flory, Principles of Polymer Chemistry (Comell Univ. Press, New York, 1953).

    Google Scholar 

  2. A. A. Tager, Physical Chemistry of Polymers (Goskhimizdat, Moscow, 1963) [in Russian].

    Google Scholar 

  3. L. Leibler, H. Orland, and J. C. Wheeler, J. Chem. Phys. 79, 3550 (1983).

    Article  CAS  Google Scholar 

  4. J. Noolandi and K. M. Hong, Macromolecules 16, 1443 (1983).

    Article  CAS  Google Scholar 

  5. Z. Tuzar and P. Kratochvil, in Surface and Colloid Science, Ed. by E. Matijevic (Plenum, New York, 1993), Vol. 15.

    Google Scholar 

  6. K. M. Hong and J. Noolandi, Macromolecules 16, 1083 (1983).

    Article  CAS  Google Scholar 

  7. G. H. Fredrickson and L. Leibler, Macromolecules 22, 1238 (1989).

    CAS  Google Scholar 

  8. R. Holyst and T. A. Vilgis, Macromol. Theory Simul. 5, 573 (1996).

    CAS  Google Scholar 

  9. I. Ya. Erukhimovich, Vysokomol. Soedin., Ser. A 21, 427 (1979).

    CAS  Google Scholar 

  10. P. G. De Gennes, Scaling Concept in Polymer Physics (Cornell Univ. Press, Ithaca, 1979; Mir, Moscow, 1982).

    Google Scholar 

  11. J. S. Higgins and H. C. Benoit, Polymers and Neutron Scattering (Clarendon, Oxford, 1996).

    Google Scholar 

  12. I. Ya. Erukhimovich, Vysokomol. Soedin., Ser. A 24, 1950 (1982).

    CAS  Google Scholar 

  13. S. A. Tarasenko and I. Ya. Erukhimovich, Vysokomol. Soedin., Ser. A 47, 490 (2005) [Polymer Science, Ser. A 47, 299 (2005)].

    CAS  Google Scholar 

  14. R. J. Nap and G. Ten Brinke, Macromolecules 35, 952 (2002).

    Article  CAS  Google Scholar 

  15. I. Ya. Erukhimovich, Yu. G. Smirnova, and V. Abetz, Vysokomol. Soedin., Ser. A 45, 1830 (2003) [Polymer Science, Ser. A 45, 1093 (2003)].

    CAS  Google Scholar 

  16. Yu. G. Smirnova, G. Ten Brinke, and I. Ya. Erukhimovich, Vysokomol. Soedin., Ser. A 47, 740 (2005) [Polymer Science, Ser. A 47, 430 (2005)].

    CAS  Google Scholar 

  17. I. Erukhimovich, V. Abets, and R. Stadler, Macromolecules 30, 7435 (1997).

    Article  CAS  Google Scholar 

  18. I. M. Lifshitz, A. Yu. Grosberg, and A. R. Khokhlov, Zh. Eksp. Teor. Fiz. 71, 1634 (1976).

    Google Scholar 

  19. I. Ya. Erukhimovich, Zh. Eksp. Teor. Fiz. 108, 1004 (1995).

    CAS  Google Scholar 

  20. A. N. Kudlay, I. Ya. Erukhimovich, and A. R. Khokhlov, Macromolecules 33, 5644 (2000).

    Article  CAS  Google Scholar 

  21. I. Ya. Erukhimovich, M. V. Thamm, and A. V. Ermoshkin, Macromolecules 34, 5653 (2001).

    Article  CAS  Google Scholar 

  22. R. Holyst and M. Schick, J. Chem. Phys. 96, 7728 (1992).

    Article  CAS  Google Scholar 

  23. L. Kielhorn and M. Muthukumar, J. Chem. Phys. 107, 5588 (1997).

    Article  CAS  Google Scholar 

  24. F. S. Bates, J. H. Rosedale, P. Stephanek, et al., Phys. Rev. Lett. 65, 1893 (1990).

    Article  CAS  Google Scholar 

  25. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton Univ. Press, Princeton, 1995).

    Google Scholar 

  26. K. Sakoda, Optical Properties of Photonic Crystals (Springer, Berlin, 2001).

    Google Scholar 

  27. M. Soljačić and J. D. Joannopoulos, Nature Mater. 3, 211 (2004).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © S.A. Tarasenko, I.Ya. Erukhimovich, 2006, published in Vysokomolekulyarnye Soedineniya, Ser. A, 2006, Vol. 48, No. 2, pp. 326–341.

This work was supported by the Russian Foundation for Basic Research and the NWO Foundation, project no. 04-03-89002 HBOa.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tarasenko, S.A., Erukhimovich, I.Y. Macro-and microphase separation in nonaqueous solutions of binary multiblock copolymers. Polym. Sci. Ser. A 48, 207–220 (2006). https://doi.org/10.1134/S0965545X06020167

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0965545X06020167

Keywords

Navigation