Dynamics of Block Copolymer Micelles Revealed by X-Ray Intensity Fluctuation Spectroscopy

S. G. J. Mochrie; A. M. Mayes; A. R. Sandy; M. Sutton; S. Brauer; G. B. Stephenson; D. L. Abernathy; G. Grübel

doi:10.1103/PhysRevLett.78.1275

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Dynamics of Block Copolymer Micelles Revealed by X-Ray Intensity Fluctuation Spectroscopy

S. G. J. Mochrie¹, A. M. Mayes¹, A. R. Sandy¹, M. Sutton², S. Brauer³, G. B. Stephenson⁴, D. L. Abernathy⁵, and G. Grübel⁵

¹Center for Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
²Department of Physics, McGill University, Montréal, Québec, Canada
³Advanced Photon Source, Argonne National Laboratory, Argonne, Illinois 60439
⁴Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439
⁵European Synchrotron Radiation Facility, 38043 Grenoble, France

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Phys. Rev. Lett. 78, 1275 – Published 17 February, 1997

DOI: https://doi.org/10.1103/PhysRevLett.78.1275

Abstract

We report x-ray intensity fluctuation spectroscopy measurements of the equilibrium dynamics of polymer micelle liquids, composed of polystyrene-polyisoprene block copolymer micelles within a polystyrene homopolymer matrix. The equilibrium dynamics were investigated for times between one and several hundred seconds, and for wave vectors from 0.003 to $0.015 Å^{- 1}$ , far beyond wave vectors that can be studied with visible light. A wave-vector-dependent diffusion coefficient is found.

References (18)

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[c1] F. S. Bates and G. H. Fredrickson, Annu. Rev. Phys. Chem. 11, 525 (1990).

[c2] D. Richter, B. Farago, L. Fetters, J. Huang, B. Ewen, and C. Lartigue, Phys. Rev. Lett. 64, 1389 (1990).

[c3] M. Sutton, S. G. J. Mochrie, T. Greytak, S. E. Nagler, L. E. Berman, G. A. Held, and G. B. Stephenson, Nature (London) 352, 608 (1991).

[c4] S. Brauer, G. B. Stephenson, M. Sutton, R. Brüning, E. Dufresne, S. G. J. Mochrie, G. Grübel, J. Als-Nielsen, and D. L. Abernathy, Phys. Rev. Lett. 74, 2010 (1995).

[c5] S. Dierker, R. Pindak, R. M. Fleming, I. K. Robinson, and L. E. Berman, Phys. Rev. Lett. 75, 449 (1995).

[c6] T. Thurn-Albrecht, W. Steffen, A. Patkowski, G. Meier, E. W. Fisher, G. Grübel, and D. L. Abernathy (unpublished).

[c7] L. Leibler, H. Orland, and J. Wheeler, J. Chem. Phys. 79, 3550 (1983).

[c8] A. Mayes and M. Olvera de la Cruz, Macromolecules 21, 2543 (1988).

[c9] D. J. Kinning, E. L. Thomas, and L. J. Fetters, J. Chem. Phys. 90, 5806 (1990).

[c10] D. L. Abernathy, G. Grübel, S. Mochrie, A. Sandy, G. Stephenson, N. Mulders, M. Sutton, S. Brauer, and I. McNulty (unpublished).

[c11] C. Harkless, M. Singh, S. Nagler, G. Stephenson, and J. Jordan-Sweet, Phys. Rev. Lett. 64, 2285 (1990).

[c12] A. Wong and P. Wilzius, Rev. Sci. Instrum. 64, 2547 (1993).

[c13] G. C. Berry and T. G. Fox, Adv. Polym. Sci. 5, 261 (1967). We have used $\ln η = \ln M - 7.4 + 28 / [T (K) - 307 + 6 \times 10^{4} / M]$ .

[c14] S. W. Lovesey, Theory of Neutron Scattering from Condensed Matter (Oxford University Press, Oxford,1984), Vol. 1, see especially p. 247.

[c15] J. Brown, P. Pusey, J. Goodwin, and R. Ottewill, J. Phys. A 8, 664 (1975).

[c16] W. van Megan, R. H. Ottewill, S. M. Owens, and P. N. Pusey, J. Chem. Phys. 82, 508 (1985).

[c17] C. Beenakker and P. Mazur, Physica (Amsterdam) 126A, 349 (1984).

[c18] G. Porte, J. Appell, and Y. Poggi, J. Phys. Chem. 84, 3105 (1980).

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Dynamics of Block Copolymer Micelles Revealed by X-Ray Intensity Fluctuation Spectroscopy

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