Skip to main content
Log in

Swelling of Planar Polymer Brushes in Solvent Vapors

  • Published:
Polymer Science, Series C Aims and scope Submit manuscript

Abstract

The swelling of densely grafted planar homo- and copolymer brushes in solvent vapors was studied by the dissipative particle dynamics method. It is shown that the distribution of the solvent inside the polymer film is inhomogeneous with the explicit maximum at the polymer–vapor interface. The value of the maximum does not depend on the grafting density and is mainly defined by the concentration of solvent vapors. At the same time, the distribution function of the free ends in homopolymer brush swollen in vapors of a good solvent is closer to the respective function in dry (solvent-free) brush: it has a rather narrow maximum at the upper border of the brush. In case of copolymer brushes, the swelling in vapors of a selective solvent can be accompanied by separation, the character of which is defined by the sequence of polymer segments (random or gradient) and also by the mean fraction of the segments of different types. The distribution function of free ends in the copolymer brush is calculated.

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. W.-L. Chen, R. Cordero, H. Tran, and C. K. Ober, Macromolecules 50 (11), 4089 (2017).

    Article  CAS  Google Scholar 

  2. T. Kreer, Soft Matter 12 (15), 3479 (2016).

    Article  CAS  PubMed  Google Scholar 

  3. S. Liang, N. M. Neisius, and S. Gaan, Prog. Org. Coat. 76 (11), 1642 (2013).

    Article  CAS  Google Scholar 

  4. S. P. Adiga and D. W. Brenner, J. Funct. Biomater. 3 (2), 239 (2012).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  5. W. Yang and F. Zhou, Biosurf. Biotribol. 3 (3), 97 (2017).

    Article  Google Scholar 

  6. M. Krishnamoorthy, S. Hakobyan, M. Ramstedt, and J. E. Gautrot, Chem. Rev. 114 (21), 10976 (2014).

    Article  CAS  PubMed  Google Scholar 

  7. S. Alexander, J. Phys. 38 (8), 983 (1977).

    Article  CAS  Google Scholar 

  8. P.-G. de Gennes, Macromolecules 13 (5), 1069 (1980).

    Article  Google Scholar 

  9. A. N. Semenov, Sov. Phys. JETP. 61 (4), 733 (1985).

    Google Scholar 

  10. S. T. Milner, T. A. Witten, and M. E. Cates, Macromolecules 21 (8), 2610 (1988).

    Article  CAS  Google Scholar 

  11. A. M. Skvortsov, I. V. Pavlushkov, A. A. Gorbunov, Ye. B. Zhulina, O. V. Borisov, and V. A. Pryamitsyn, Polym. Sci. U. S. S. R. 30 (8), 1706 (1988).

    Article  Google Scholar 

  12. T. M. Birshtein and Ye. B. Zhulina, Polym. Sci. U. S. S. R. 25 (9), 2165 (1983).

    Article  Google Scholar 

  13. T. M. Birshtein and E. B. Zhulina, Polymer 25 (10), 1453 (1984).

    Article  CAS  Google Scholar 

  14. T. M. Birshtein and A. K. Karaev, Polym. Sci. U. S. S. R. 29 (9), 2066 (1987).

    Article  Google Scholar 

  15. T. M. Birshtein and A. K. Karaev, Polym. Sci. U. S. S. R. 30 (5), 1028 (1988).

    Article  Google Scholar 

  16. O. V. Borisov, Ye. B. Zhulina, and T. M. Birshtein Polym. Sci. U. S. S. R. 30 (4), 772 (1988).

    Article  Google Scholar 

  17. T. M. Birshtein, Yu. V. Lyatskaya, and Ye. B. Zhulina, Polym. Sci. U. S. S. R. 32 (8), 1626 (1990).

    Article  Google Scholar 

  18. E. B. Zhulina, O. V. Borisov, V. A. Pryamitsyn, and T. M. Birshtein, Macromolecules 24 (1), 140 (1991).

    Article  CAS  Google Scholar 

  19. T. M. Birshtein and Yu. V. Lyatskaya, Macromolecules 27 (5), 1256 (1994).

    Article  CAS  Google Scholar 

  20. O. V. Borisov, E. B. Zhulina, and T. M. Birshtein, Macromolecules 27 (17), 4795 (1994).

    Article  CAS  Google Scholar 

  21. E. B. Zhulina, T. M. Birshtein, and O. V. Borisov, Macromolecules 28 (5), 1491 (1995).

    Article  CAS  Google Scholar 

  22. Yu. V. Lyatskaya, F. A. M. Leermakers, G. J. Fleer, E. B. Zhulina, and T. M. Birshtein, Macromolecules 28 (10), 3562 (1995).

    Article  CAS  Google Scholar 

  23. A. A. Mercurieva, F. A. M. Leermakers, T. M. Birshtein, G. J. Fleer, and E. B. Zhulina, Macromolecules 33 (3), 1072 (2000).

    Article  CAS  Google Scholar 

  24. A. A. Polotsky, F. A. M. Leermakers, E. B. Zhulina, and T. M. Birshtein, Macromolecules 45 (17), 7260 (2012).

    Article  CAS  Google Scholar 

  25. A. A. Polotsky, F. A. M. Leermakers, and T. M. Birshtein, Macromolecules 48 (7), 2263 (2015).

    Article  CAS  Google Scholar 

  26. M. Murat and G. S. Grest, Macromolecules 22 (10), 4054 (1989).

    Article  CAS  Google Scholar 

  27. G. S. Grest and M. Murat, Macromolecules 26 (12), 3108 (1993).

    Article  CAS  Google Scholar 

  28. Y. N. Kaznessis, D. A. Hill, and E. J. Maginn, Macromolecules 31 (9), 3116 (1998).

    Article  CAS  Google Scholar 

  29. G.-L. He, H. Merlitz, J.-U. Sommer, and C.-X. Wu, Macromolecules 40 (18), 6721 (2007).

    Article  CAS  Google Scholar 

  30. Y. Yin, P. Sun, B. Li, T. Chen, Q. Jin, D. Ding, and A.-C. Shi, Macromolecules 40 (14), 5161 (2007).

    Article  CAS  Google Scholar 

  31. O. A. Guskova and C. Seidel, Macromolecules 44 (3), 671 (2011).

    Article  CAS  Google Scholar 

  32. A. A. Rudov, P. G. Khalatur, and I. I. Potemkin, Macromolecules 45 (11), 4870 (2012).

    Article  CAS  Google Scholar 

  33. R. Jiang, B. Li, Zh. Wang, Y. Yin, and A.-C. Shi, Macromolecules 45 (11), 4920 (2012).

    Article  CAS  Google Scholar 

  34. J. Cheng, A. Vishnyakov, and A. V. Neimark, Langmuir 30 (43), 12932 (2014).

    Article  CAS  PubMed  Google Scholar 

  35. D. Posselt, J. Zhang, D.-M. Smilgies, A. V. Berezkin, I. I. Potemkin, and C. M. Papadakis, Prog. Polym. Sci. 66, 80 (2017).

    Article  CAS  Google Scholar 

  36. A. Stenbock-Fermor, A. A. Rudov, R. A. Gumerov, L. A. Tsarkova, A. Böker, M. Möller, and I. I. Potemkin, ACS Macro Lett. 3 (8), 803 (2014).

    Article  CAS  Google Scholar 

  37. A. V. Berezkin, C. M. Papadakis, and I. I. Potemkin, Macromolecules 49 (1), 415 (2016).

    Article  CAS  Google Scholar 

  38. C. J. Galvin, M. D. Dimitriou, S. K. Satija, and J. Genzer, J. Am. Chem. Soc. 136 (36), 12737 (2014).

    Article  CAS  PubMed  Google Scholar 

  39. C. J. Galvin and J. Genzer, Macromolecules 49 (11), 4316 (2016).

    Article  CAS  Google Scholar 

  40. L. Sun, B. Akgun, S. Narayanan, Zh. Jiang, and M. D. Foster, Macromolecules 49 (19), 7308 (2016).

    Article  CAS  Google Scholar 

  41. I. W. Hamley, Prog. Polym. Sci. 34 (11), 1161 (2009).

    Article  CAS  Google Scholar 

  42. L. A. Strickland, C. K. Hall, and J. Genzer, Langmuir 26 (11), 8810 (2010).

    Article  CAS  PubMed  Google Scholar 

  43. S. V. Venev and I. I. Potemkin, Soft Matter 10 (34), 6442 (2014).

    Article  CAS  PubMed  Google Scholar 

  44. E. B. Zhulina, C. Singh, and A. C. Balazs, Macromolecules 29 (25), 8254 (1996).

    Article  CAS  Google Scholar 

  45. P. J. Hoogerbrugge and J. M. V. A. Koelman, Europhys. Lett. 19 (3), 155 (1992).

    Article  Google Scholar 

  46. P. Español and P. Warren, Europhys. Lett. 30 (4), 191 (1995).

    Article  Google Scholar 

  47. R. D. Groot and P. B. Warren, J. Chem. Phys. 107 (11), 4423 (1997).

    Article  CAS  Google Scholar 

  48. A. A. Rudov, E. S. Patyukova, I. V. Neratova, P. G. Khalatur, D. Posselt, C. M. Papadakis, and I. I. Potemkin, Macromolecules 46 (14), 5786 (2013).

    Article  CAS  Google Scholar 

  49. I. Pagonabarraga, M. H. J. Hagen, and D. Frenkel, Europhys. Lett. 42 (4), 377 (1998).

    Article  CAS  Google Scholar 

  50. Y. Chen, H. Chen, M. Feng, and Y. Dong, Eur. Polym. J. 85, 489 (2016).

    Article  CAS  Google Scholar 

  51. C. J. Galvin and J. Genzer, Prog. Polym. Sci. 37 (7), 871 (2012).

    Article  CAS  Google Scholar 

  52. L. C. H. Moh, M. D. Losego, and P. V. Braun, Langmuir 27 (7), 3698 (2011).

    Article  CAS  PubMed  Google Scholar 

  53. P. Español and P. B. Warren, J. Chem. Phys. 146 (15), 150901 (2017).

    Article  CAS  PubMed  Google Scholar 

  54. K. E. Polovnikov, R. A. Gumerov, and I. I. Potemkin, Macromolecules 49 (17), 6599 (2016).

    Article  CAS  Google Scholar 

  55. H. Morita, T. Ozawa, N. Kobayashi, H. Fukunaga, and M. Doi, J. Soc. Rheol., Jpn. 36 (2), 93 (2008).

    Article  CAS  Google Scholar 

  56. I. V. Neratova, A. S. Pavlov, and P. G. Khalatur, Polym. Sci., Ser. A 52 (9), 959 (2010).

    Article  Google Scholar 

  57. A. Mourran, Y. Wu, R. A. Gumerov, A. A. Rudov, I. I. Potemkin, A. Pich, and M. Möller, Langmuir 32 (3), 723 (2016).

    Article  CAS  PubMed  Google Scholar 

  58. R. A. Gumerov, A. M. Rumyantsev, A. A. Rudov, A. Pich, W. Richtering, M. Möller, and I. I. Potemkin, ACS Macro Lett. 5 (5), 612 (2016).

    Article  CAS  Google Scholar 

  59. A. M. Rumyantsev, R. A. Gumerov, and I. I. Potemkin, Soft Matter 12 (32), 6799 (2016).

    Article  CAS  PubMed  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. I. Potemkin.

Additional information

Original Russian Text © R.A. Gumerov, I.I. Potemkin, 2018, published in Vysokomolekulyarnye Soedineniya, Seriya C, 2018, Vol. 60, No. 2, pp. 163–172.

The article was translated by the authors.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gumerov, R.A., Potemkin, I.I. Swelling of Planar Polymer Brushes in Solvent Vapors. Polym. Sci. Ser. C 60 (Suppl 1), 66–75 (2018). https://doi.org/10.1134/S181123821802011X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S181123821802011X

Navigation