Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-25T15:54:22.208Z Has data issue: false hasContentIssue false

Curvature Elasticity of Block Copolymers and the Structure of Emulsified Polymer Blends

Published online by Cambridge University Press:  21 February 2011

Zhen-Gang Wang
Affiliation:
Corporate Research Science Laboratory, Exxon Research and Engineering Company, Annandale, NJ 08801
S. A. Safran
Affiliation:
Corporate Research Science Laboratory, Exxon Research and Engineering Company, Annandale, NJ 08801
Get access

Abstract

We consider the curvature elastic properties of a layer of block copolymer at the interface between two incompatible homopolymers. We focus on the relation between the relative lengths of the blocks and the elastic properties of the interfacial layer which determines the phase behavior. The curvature elastic moduli K and K, as well as the spontaneous curvature, c0, are obtained. The curvature free energy is used to predict the relative stability of spherical, cylindrical, lamellar, and ordered bicontinuous saddle-shaped structures as functions of concentration and polymer properties.

Type
Research Article
Copyright
Copyright © Materials Research Society 1990

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Maglio, G. and Palumbo, R., in Polymer Blends, ed. by Kryszewski, M., Galeski, A., and Martuscelli, E. (Plenum, New York, 1982).Google Scholar
2. For an overview, see: Surfactants in Solution, ed. by Mittal, K. and Lindman, B. (Plenum, New York, 1984); Surfactants in Solution, ed. by K. Mittal and P. Bothorel Plenum, New York, 1986); Physics of Complex and Supermolecular Fluids, ed. by S. A. Safran and N. A. Clark (Wiley, New York, 1987).Google Scholar
3. Israelachvili, J. N., Mitchell, D. J., Ninham, B. W., J. Chem. Soc. Faraday Trans. 2 72, 1525 (1976); D. J. Mitchell, B. W. Ninham, J. Chem. Soc. Faraday Trans. 2 77, 601 (1981).Google Scholar
4. Safran, S. A., Turkevich, L. A., and Pincus, P. A., J. de Phys. Lett. 45, L–19 (1984) and in Surfactants in Solution, ed. K. Mittal and B. Lindman, (Plenum, NY, 1984), p. 1177.Google Scholar
5. Roux, D. and Coulon, C., J. de Phys. 47, 1257 (1986).Google Scholar
6. Helfrich, W., Z. Naturforsch. 28c, 693 (1973).Google Scholar
7. Petrov, A. G., Mitov, M. D., and Derzhanski, A., Phys. Lett. 65A, 374 (1978); A. G. Petrov and A. Derzhanski, J. Phys. Colloq. 37, C3-155 (1976).Google Scholar
8. Szleifer, I., Kramer, D., Ben-Shaul, A., Roux, D., and Gelbart, W. M., Phys. Rev. Lett. 60, 1966 (1988).Google Scholar
9. Turkevich, L. A., Safran, S. A., and Pincus, P. A., in it Surfactants in Solution, ed. By Mittal, K. and Bothoral, P. (Plenum, New York, 1986).Google Scholar
10. Milner, S. T. and Witten, T. A., J. Phys. (Paris), in press.Google Scholar
11. Cantor, R. S., Macromolecules 14, 1186 (1981).Google Scholar
12. Leibler, L., Makromol. Chem. Macromol. Symp. 16, 1 (1988).Google Scholar
13. Wang, Z. G. and Safran, S. A., J. de Phys., in press.Google Scholar
14. Wang, Z. G. and Safran, S. A. Europhysics Lett., in press.Google Scholar
15. Semenov, A. N., Soy. Phys. JETP 61, 733 (1985).Google Scholar
16. Milner, S. T., Witten, T. A., and Cates, M. E., Europhys. Lett. 5, 413 (1988); Macromolecules 21, 2610 (1988).Google Scholar
17. Ohta, T. and Kawasaki, K., Macromolecules, 19, 2621, 1986; T. Ohta and K. Kawasaki, Macromolecules, 19, 2621, 1986, to be published.Google Scholar
18. Anderson, D. M., Davis, H. T., Scriven, L. E., submitted to J. Chem. Phys.; D. M. Anderson, H. Wennerstrom, U. Olsson, J. Phys. Chem. 93, 4243 (1989).Google Scholar
19. Thomas, E. L., Alward, D. B., Kinning, D. J., Martin, D. C., Handlin, D. L., Fetters, L. J., Macromolecules 19, 2197 (1986); H. Hasegawa, H. Tanaka, K. Yamasaki, T Hashimoto, Macromolecules 19, p. 1651; D. J. Kinning, J. M. Ottino, E. L. Thomas, Macromolecules 19, p. 1129.Google Scholar
20. Scriven, L. E., in Micellization, Solubilization, and Microemulsions, ed. Mittal, K. L. (Plenum, NY, 1977), p. 877.Google Scholar
21. Anderson, D. M. and Thomas, E. L., Macromolecules 21, 3221 (1988).Google Scholar
22. Anderson, D. M., Gruner, S. M., Leibler, S., Proc. Natl. Acad. Sci. USA 85, 5364 (1988).Google Scholar