Effect of cross-linking on the structure and thermodynamics of lamellar block copolymers

Macromolecules

Volumn 39, Issue 14, 2006, Pages 4848-4859

  Gomez, Enrique D ^a   Das, Jayajit ^a,b   Chakraborty, Arup K ^a,b,c   Pople, John A ^d   Balsara, Nitash P ^a,b  

^a University of California   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEPOLARIZED LIGHT; LAMELLAR; MEAN-FIELD THEORY; SYMMETRIC;

CROSSLINKING; FREE ENERGY; LIGHT SCATTERING; ORDER DISORDER TRANSITIONS; THERMODYNAMICS; TRANSMISSION ELECTRON MICROSCOPY; X RAYS;

BLOCK COPOLYMERS;

EID: 33746304757     PISSN: 00249297     EISSN: None     Source Type: Journal    
DOI: 10.1021/ma052323r     Document Type: Article

References (56)

1. Flory, P. J. Principles of Polymer Chemistry; Cornell University Press: Ithaca, NY, 1953.
2. Graessley, W. W. Polymeric Liquids and Networks: Structure and Properties; Garland Science: New York, 2004.
3. Won, Y. Y.; Davis, H. T.; Bates, F. S. Science 1999, 283, 960-963.
4. Thurmond, K. B.; Kowalewski, T.; Wooley, K. L. J. Am. Chem. Soc. 1996, 118, 7239-7240.
5. Butun, V.; Billingham, N. C.; Armes, S. P. J. Am. Chem. Soc. 1998, 120, 12135-12136.
6. Emoto, K.; Iijima, M.; Nagasaki, Y.; Kataoka, K. J. Am. Chem. Soc. 2000, 122, 2653-2654.
7. Ding, J. F.; Liu, G. J. Macromolecules 1998, 31, 6554-6558.
8. Durkee, D. A.; Eitouni, H. B.; Gomez, E. D.; Ellsworth, M. W.; Bell, A. T.; Balsara, N. P. Advanced Materials 2005, 17, 2003-2006.
9. Hillmyer, M. A.; Lipic, P. M.; Hajduk, D. A.; Almdal, K.; Bates, F. S. J. Am. Chem. Soc. 1997, 119, 2749-2750.
10. Sakurai, S.; Iwane, K.; Nomura, S. Macromolecules 1993, 26, 5479-5486.
11. Hahn, H.; Eitouni, H. B.; Balsara, N. P.; Pople, J. A. Phys. Rev. Lett. 2003, 90, 155505.
12. Hahn, H.; Chakraborty, A. K.; Das, J.; Pople, J. A.; Balsara, N. P. Macromolecules 2005, 38, 1277-1285.
13. Deam, R. T.; Edwards, S. F. Philos. Trans. R. Soc A 1976, 280, 317-353.
14. Edwards, S. F.; Vilgis, T. A. Rep. Prog. Phys. 1988, 51, 243-297.
15. Binder, K. Monte Carlo and Molecular Dynamics Simulations in Polymer Science; Oxford University Press: Oxford, U.K., 1995.
16. Leibler, L. Macromolecules 1980, 13, 1602-1617.
17. Hamley, I. W. The Physics of Block Copolymers; Oxford University Press: Oxford, U.K., 1998.
18. Stepanow, S.; Schulz, M.; Binder, K. J. Phys. Ii 1994, 4, 819-824.
19. Uchida, N. J. Phys. Condens. Matter 2004, 16, L21-L27.
20. Lay, S.; Sommer, J. U.; Blumen, A. J. Chem. Phys. 1999, 110, 12173-12182.
21. Doi, M.; Edwards, S. F. The Theory of Polymer Dynamics; Oxford University Press: Oxford, U.K., 1986.
22. Doi, M. Introduction to Polymer Physics; Oxford University Press: New York, 1996.
23. Lin, C. C.; Jonnalagadda, S. V.; Kesani, P. K.; Dai, H. J.; Balsara, N. P. Macromolecules 1994, 27, 7769-7780.
24. The Gibbs prefactor is chosen as 1/(m!) and is strictly valid in the un-cross-linked sample. However, in the presence of cross-links, as rightly noted in ref 28, the system will contain various cross-linked clusters which will change the Gibbs prefactor, 1/(m!). The form of the correct Gibbs prefactor is not known and is difficult to compute. Therefore we retain the prefactor as the un-cross-linked system and our results do not depend on the choice of Gibbs prefactor.
25. Cardy, J. L. Scaling and Renormalization in Statistical Physics; Cambridge University Press: New York, 1996.
26. Binder, K.; Young, A. P. Rev Mod Phys 1986, 58, 801-976.
27. Edwards, S. F.; Andersen, P. W. J. Phys. F, Met. Phys. 1975, 5, 965-974.
28. Goldbart, P. M.; Castillo, H. E.; Zippelius, A. Adv. Phys. 1996, 45, 393-468.
29. Roos, C.; Zippelius, A.; Goldbart, P. M. J. Phys. A., Math. Gen. 1997, 30, 1967-1977.
30. Ohta, T.; Kawasaki, K. Macromolecules 1986, 19, 2621-2632.
31. Gutin, A. M.; Shakhnovich, E. I. J. Chem. Phys. 1994, 700, 5290-5293.
32. Panyukov, S.; Rabin, Y. Phys. Rep. 1996, 269, 1-131.
33. Gonzalez, L.; Rodriguez, A.; Marcos, A.; Chamorro, C. Rubber Chem. Technol. 1996, 69, 203-214.
34. Queslel, J. P.; Mark, J. E. J. Chem. Phys. 1985, 82, 3449-3452.
35. Queslel, J. P.; Fontaine, F.; Monnerie, L. Polymer 1988, 29, 1086-1090.
36. Mark, J. E.; Erman, B. Rubberlike Elasticity: A Molecular Primer; John Wiley & Sons: New York, 1988.
37. Erman, B.; Mark, J. E. Structures and Properties of Rubberlike Networks; Oxford University Press: New York, 1997.
38. SP.PI = 0.36; see ref 12) describing the interactions between the block copolymer networks and toluene was assumed to be the volume average of the two homopolymer χ's. The molar volume of toluene is 106.5 mL/mol.
39. Garetz, B. A.; Newstein, M. C.; Dai, H. J.; Jonnalagadda, S. V.; Balsara, N. P. Macromolecules 1993, 26, 3151-3155.
40. Eitouni, H. B.; Balsara, N. P.; Hahn, H.; Pople, J. A.; Hempenius, M. A. Macromolecules 2002, 35, 7765-7772.
41. The accuracy of the calibration was subsequently checked with a different disordered block copolymer, poly(isoprene-block-ferroce-nyldimethylsilane) copolymer with weight-averaged molecular weights of 8 and 10 kg/mol, respectively.
42. Russell, T. P.; Lin, J. S.; Spooner, S.; Wignall, G. D. J. Appl. Crystallogr. 1988, 21, 629-638.
43. Perahia, D.; Vacca, G.; Patel, S. S.; Dai, H. J.; Balsara, N. P. Macromolecules 1994, 27, 7645-7649.
44. Roe, R.-J. Methods of X-ray and Neutron Scattering in Polymer Science; Oxford University Press: New York, 2000.
45. Eitouni, H. B.; Balsara, N. P. J. Am. Chem. Soc. 2004, 126, 7446-7447.
46. bgd is assumed to be a q-independent constant.
47. ODT measurement increased with cross-linking density.
48. ODT = 369 K, the average of the DPLS and SAXS determined ODT temperatures.
49. Abuzaina, F. M.; Patel, A. J.; Mochrie, S.; Narayanan, S.; Sandy, A.; Garetz, B. A.; Balsara, N. P. Macromolecules 2005, 38, 7090-7097.
50. Fredrickson, G. H.; Helfand, E. J. Chem. Phys. 1987, 87, 697-705.
51. Maurer, W. W.; Bates, F. S.; Lodge, T. P.; Almdal, K.; Mortensen, K.; Fredrickson, G. H. J. Chem. Phys. 1998, 108, 2989-3000.
52. Balsara, N. P.; Garetz, B. A.; Dai, H. J. Macromolecules 1992, 25, 6072-6074.
53. Garetz, B. A.; Balsara, N. P.; Dai, H. J.; Wang, Z.; Newstein, M. C.; Majumdar, B. Macromolecules 1996, 29, 4675-4679.
54. de Gennes, P. G. Scaling Concepts in Polymer Physics; Cornell University Press: Ithaca, NY, 1979.
55. Mcewen, B. F.; Downing, K. H.; Glaeser, R. M. Ultramicroscopy 1995, 60, 357-373.
56. Spontak, R. J.; Fung, J. C.; Braunfeld, M. B.; Sedat, J. W.; Agard, D. A.; Ashraf, A.; Smith, S. D. Macromolecules 1996, 29, 2850-2856.