Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


Preferences help
enabled [disable] Abstract
Number of results
2012 | 121 | 3 | 703-710

Article title

Diblock Copolymer Melt in Spherical Unit Cells of Higher Dimensionalities

Content

Title variants

Languages of publication

EN

Abstracts

EN
Using self-consistent field theory in spherical unit cells of various dimensionality, D = 1, 2, 3, and 4, we calculate phase diagram of a diblock, A-b-B, copolymer melt in 4-dimensional space, d = 4. The phase diagram is parameterized by the chain composition, f, and incompatibility between A and B, quantified by the product χ N. We predict 4 stable nanophases: layers, cylinders, 3D spherical cells, and 4D spherical cells. We also calculate order-disorder and order-order transition lines. In the strong segregation limit, that is for large χ N, the order-order transition compositions are determined by the strong segregation theory in its simplest form, for D = 1, 2, 3, and 4.

Keywords

EN

Year

Volume

121

Issue

3

Pages

703-710

Physical description

Dates

published
2012-03
received
2011-04-27

Contributors

author
  • Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
author
  • Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
author
  • Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
  • Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland

References

  • 1. P.G. de Gennes, Scaling Concepts in Polymer Physics, Cornell University Press, Ithaca 1979
  • 2. G.H. Fredrickson, The Equlibrium Theory of Inhomogeneous Polymers, Clarendon Press, Oxford 2006
  • 3. I.W. Hamley, Developments in Block Copolymer Science and Technology, Wiley, Berlin 2004
  • 4. T.S. Bailey, C.M. Hardy, T.H. Epps, F.S. Bates, Macromolecules 35, 7007 (2002)
  • 5. M. Takenaka, T. Wakada, S. Akasaka, S. Nishisuji, K. Saijo, H. Shimizu, M.I. Kim, H. Hasegawa, Macromolecules 40, 4399 (2007)
  • 6. L. Leibler, Macromolecules 13, 1602 (1980)
  • 7. M. Banaszak, M.D. Whitmore, Macromolecules 25, 3406 (1992)
  • 8. J.D. Vavasour, M.D. Whitmore, Macromolecules 25, 5477 (1992)
  • 9. M.W. Matsen, M. Schick, Phys. Rev. Lett. 72, 2660 (1994)
  • 10. M.W. Matsen, M.D. Whitmore, J. Chem. Phys. 105, 9698 (1996)
  • 11. M.W. Matsen, J. Chem. Phys. 114, 10528 (2001)
  • 12. E.M. Lennon, K. Katsov, G.H. Fredrickson, Phys. Rev. Lett. 101, 138302 (2008)
  • 13. T. Taniguchi, J. Phys. Soc. Jpn. 78, 041009 (2009)
  • 14. I.W. Hamley, Prog. Polym. Sci. 34, 1161 (2009)
  • 15. E.W. Cochran, C.J. Garcia-Cervera, G.H. Fredrickson, Macromolecules 39, 2449 (2006)
  • 16. M.W. Matsen, Europ. Phys. J. E 30, 361 (2009)
  • 17. M.W. Matsen, in: Soft Condensed Matter, Vol. 1, Eds. G. Gompper, M. Schick, Wiley, Berlin 2005
  • 18. E.W. Cochran, C.J. Garcia-Cervera, G.H. Fredrickson, Macromolecules 39, 2449 (2006)
  • 19. A.K. Khandpur, S. Forster, F.S. Bates, I.W. Hamley, A.J. Ryan, W. Bras, K. Almdal, K. Mortensen, Macromolecules 28, 8796 (1995)
  • 20. X. Cheng, L. Lin, W. E, P. Zhang, A.-C. Shi, Phys. Rev. Lett. 104, 148301 (2010)
  • 21. W. Li, W. Jiang, Polym. Bull. 64, 805 (2010)
  • 22. T. Suo, D. Yan, S. Yang, A.-C. Shi, Macromolecules 42, 6791 (2009)
  • 23. W. Song, P. Tang, H. Zhang, Y. Yang, A.-C. Shi, Macromolecules 42, 6300 (2009)
  • 24. Y.A. Kriksin, P.G. Khalatur, I.Y. Erukhimovich, G. Ten Brinke, A.R. Khokhlov, Soft Matter 5, 2896 (2009)
  • 25. Y. Zhuang, J. Lin, L. Wang, L. Zhang, J. Phys. Chem. B 113, 1906 (2009)
  • 26. G.H. Fredrickson, E. Helfand, J. Chem. Phys. 87, 697 (1987)
  • 27. S.A. Brazovskii, Sov. Phys. JETP 41, 85 (1975)
  • 28. M.W. Matsen, G.H. Griffiths, R.A. Wickham, O.N. Vassiliev, J. Chem. Phys. 124, 024904 (2006)
  • 29. S. Woloszczuk, M. Banaszak, P. Knychala, M. Radosz, Macromolecules 41, 5945 (2008)
  • 30. M.W. Matsen, J. Phys., Condens. Matter 14, R21 (2002)
  • 31. M.W. Matsen, Europ. Phys. J. E 33, 297 (2010)
  • 32. A.N. Semenov, Sov. Phys. JETP 61, 733 (1985)
  • 33. A.E. Likhtman, A.N. Semenov, Europhys. Lett. 51, 307 (2000)
  • 34. W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes. The Art of Scientific Computing, Cambridge University Press, Cambridge 1989
  • 35. M.W. Matsen, F.S. Bates, J. Chem. Phys. 106, 2436 (1996)
  • 36. M. Dziecielski, K. Lewandowski, M. Banaszak, Computat. Methods Sci. Technol. 17, 17 (2011)

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.bwnjournal-article-a121z3p26kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.