Self-assembly in a mixed polymer brush with inhomogeneous grafting density composition

Soft Matter

Volumn 9, Issue 22, 2013, Pages 5341-5354

  Hur, Su Mi ^a,d   Frischknecht, Amalie L ^b   Huber, Dale L ^b   Fredrickson, Glenn H ^a,c  

^a University of California   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITION VARIATION; DEFECTIVE STRUCTURES; DIBLOCK COPOLYMER THIN FILMS; EXPERIMENTAL OBSERVATION; MIXED POLYMER BRUSHES; PHASE SEPARATED MORPHOLOGY; SELF-CONSISTENT-FIELD THEORY; SINUSOIDAL VARIATIONS;

BLOCK COPOLYMERS; BRUSHES; MEAN FIELD THEORY; MOLECULAR ORBITALS; SELF ASSEMBLY; SEPARATION;

GRAFTING (CHEMICAL);

EID: 84878122867     PISSN: 1744683X     EISSN: 17446848     Source Type: Journal    
DOI: 10.1039/c3sm50173f     Document Type: Article

References (29)

1. A. Sidorenko S. Minko K. Schenk-Meuser H. Duschner M. Stamm Switching of polymer brushes Langmuir 1999 15 24 8349 8355
2. S. Minko Responsive polymer brushes Polym. Rev. 2006 46 397 420
3. D. Usov V. Gruzdev M. Nitschke M. Stamm O. Hoy I. Luzinov I. Tokarev S. Minko Three-dimensional analysis of switching mechanism of mixed polymer brushes Macromolecules 2007 40 24 8774 8783
4. B. Zhao L. Zhu Mixed polymer brush-grafted particles: a new class of environmentally responsive nanostructured materials Macromolecules 2009 42 24 9369 9383
5. P. Uhlmann H. Merlitz J.-U. Sommer M. Stamm Polymer brushes for surface tuning Macromol. Rapid Commun. 2009 30 9-10 732 740
6. J. F. Marko T. A. Witten Phase-separation in a grafted polymer layer Phys. Rev. Lett. 1991 66 11 1541 1544
7. E. Zhulina A. C. Balazs Designing patterned surfaces by grafting y-shaped copolymers Macromolecules 1996 29 7 2667 2673
8. M. Müller Phase diagram of a mixed polymer brush Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2002 65 3 4
9. Y. Yin R. Jiang B. Li Q. Jin D. Ding A.-C. Shi Self-assembly of grafted y-shaped ABC triblock copolymers in solutions J. Chem. Phys. 2008 129 154903
10. S.-M. Hur A. L. Frischknecht D. L. Huber G. H. Fredrickson Self-consistent field simulations of self- and directed-assembly in a mixed polymer brush Soft Matter 2011 7 19 8776 8788
11. S. Minko M. Müller D. Usov A. Scholl C. Froeck M. Stamm Lateral versus perpendicular segregation in mixed polymer brushes Phys. Rev. Lett. 2002 88 3 035502
12. J.-R. Roan Soft nanopolyhedra as a route to multivalent nanoparticles Phys. Rev. Lett. 2006 96 24 248301
13. J. Wang M. Müller Microphase separation of mixed polymer brushes: dependence of the morphology on grafting density, composition, chain-length asymmetry, solvent quality, and selectivity J. Phys. Chem. B 2009 113 33 11384 11402
14. L. J. Fetters A. D. Kiss D. S. Pearson G. F. Quack F. Jerome Vitus Rheological behavior of star-shaped polymers Macromolecules 1993 26 4 647 654
15. S. Santer A. Kopyshev J. Donges H. K. Yang J. Rühe Domain memory of mixed polymer brushes Langmuir 2006 22 10 4660 4667
16. L. Wenning M. Mller K. Binder How does the pattern of grafting points influence the structure of one-component and mixed polymer brushes? Europhys. Lett. 2005 71 4 639645
17. J. Wang M. Müller Memory effects of diblock copolymer brushes and mixed brushes Langmuir 2010 26 2 1291 1303
18. A. D. Price S.-M. Hur G. H. Fredrickson A. L. Frischknecht D. L. Huber Exploring lateral microphase separation in mixed polymer brushes by experiment and self-consistent field theory simulations Macromolecules 2012 45 1 510 524
19. T. L. Chantawansri S.-M. Hur C. J. García-Cervera H. D. Ceniceros G. H. Fredrickson Spectral collocation methods for polymer brushes J. Chem. Phys. 2011 134 24 244905
20. A. Yaglom, An introduction to the theory of stationary random functions, Prentice-Hall, Englewood Cliffs, N. J., 1962
21. W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing, Cambridge University Press, 2nd edn, 1992, This function is same as gasdev (Numerical Recipes in C ch. 7.3) and the only difference is the use of RAN2 instead of RAN1
22. R. R. Bhat, M. R. Tomlinson, T. Wu and J. Genzer, Surface-grafted polymer gradients: formation, characterization, and applications, in Surface-Initiated Polymerization II, ed., R. Jordan, Springer-Verlag, Berlin/Heidelberg, 2006, vol. 198, pp. 51-124
23. R. R. Bhat M. R. Tomlinson J. Genzer Orthogonal surface-grafted polymer gradients: a versatile combinatorial platform J. Polym. Sci., Part B: Polym. Phys. 2005 43 23 3384 3394
24. J. K. Bosworth C. T. Black C. K. Ober Selective area control of self-assembled pattern architecture using a lithographically patternable block copolymer ACS Nano 2009 3 7 1761 1766
25. J. G. Son J.-B. Chang K. K. Berggren C. A. Ross Assembly of sub-10 nm block copolymer patterns with mixed morphology and period using electron irradiation and solvent annealing Nano Lett. 2011 11 11 5079 5084
26. X. Jiang B. Zhao G. Zhong N. Jin J. M. Horton L. Zhu R. S. Hafner T. P. Lodge Microphase separation of high grafting density asymmetric mixed homopolymer brushes on silica particles Macromolecules 2010 43 19 8209 8217
27. E. Helfand Theory of inhomogeneous polymers: fundamentals of the Gaussian random-walk model J. Chem. Phys. 1975 62 3 999
28. G. H. Fredrickson, The Equilibrium Theory of Inhomogeneous Polymers, Clarendon Press, Oxford, 2006
29. H. D. Ceniceros G. H. Fredrickson Numerical solution of polymer self-consistent field theory Multiscale Model. Simul. 2004 2 3 452