DOI: 10.1063/1.463347. Early state of spinodal decomposition studied with small angle neutron scattering in the blend deuteropolystyrene and polyvinylmethylether: A comparison with the Cahn–Hilliard

Early state of spinodal decomposition studied with small angle neutron scattering in the blend deuteropolystyrene and polyvinylmethylether: A comparison with the Cahn–Hilliard–Cook theory

10.1063/1.463347

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The relaxation behavior of a polymer blend, deutero-polystyrene and polyvinylmethylether (d-PS/PVME) was studied by investigating the equilibrium structure factor S(Q) and its time dependence S(Q,t) after the blend had been exposed to a rapid temperature step from T0 to Tf. The structure factor S(Q,t) was determined as a function of scattering vector Q by time-resolved neutron scattering experiments. Two cases were investigated (i) with T0 and Tf both in the homogeneous and (ii) with Tf in the unstable region of the phase diagram. The relaxation was compared with the Cahn–Hilliard–Cook theory. The strongly Q-dependent (nonlocal) Onsager coefficient was determined from the relaxation time and compared with predictions by Pincus et al. The self-diffusion constants of the components were obtained for Q→0. Finally, the experiments at Tf led to the critical behavior of the susceptibility S(Q=0) near the spinodal. An Ising-type critical behavior was observed across the (extrapolated) spinodal.

Bibliography

Schwahn, D., Janssen, S., & Springer, T. (1992). Early state of spinodal decomposition studied with small angle neutron scattering in the blend deuteropolystyrene and polyvinylmethylether: A comparison with the CahnâHilliardâCook theory. The Journal of Chemical Physics, 97(11), 8775â8788.

Authors 3

D. Schwahn (first)
S. Janssen (additional)
T. Springer (additional)

References 39 Referenced 73

10.1103/PhysRevLett.58.1544 / Phys. Rev. Lett. (1987)
10.1063/1.453482 / J. Chem. Phys. (1987)
{'key': '2024020618124989700_r2'}
10.1063/1.439809 / J. Chem. Phys. (1980)
{'key': '2024020618124989700_r3'}
10.1063/1.445747 / J. Chem. Phys. (1983)
10.1016/0001-6160(61)90182-1 / Acta Metall. (1961)
10.1016/0001-6160(70)90144-6 / Acta Metall. (1970)
10.1063/1.442226 / J. Chem. Phys. (1981)
10.1021/ma00197a029 / Macromolecules (1989)
10.1063/1.459270 / J. Chem. Phys. (1990)
10.1007/BF01313108 / Z. Phys. B (1988)
10.1021/ma00199a030 / Macromolecules (1989)
{'key': '2024020618124989700_r10'}
10.1080/01411598808213190 / Phase Transitions (1988)
{'key': '2024020618124989700_r11a'}
10.1021/ma00145a041 / Macromolecules (1985)
10.1021/ma00199a029 / Macromolecules (1989)
10.1002/polc.5070730126 / J. Polym. Sci. Polym. Symp. (1985)
10.1063/1.451675 / J. Chem. Phys. (1986)
10.1063/1.451409 / J. Chem. Phys. (1986)
10.1103/PhysRev.156.583 / Phys. Rev. (1967)
{'key': '2024020618124989700_r18'}
10.1063/1.455442 / J. Chem. Phys. (1988)
10.1103/PhysRevLett.68.3180 / Phys. Rev. Lett. (1992)
10.1063/1.460114 / J. Chem. Phys. (1991)
10.1063/1.463748 / J. Chem. Phys. (1992)
{'key': '2024020618124989700_r23'}
10.1051/jphyslet:019770038021044100 / J. Phys. (Paris) Lett. L (1977)
10.1103/PhysRevA.29.341 / Phys. Rev. A (1984)
10.1146/annurev.ms.19.080189.002013 / Annu. Rev. Mater. Sci. (1989)
10.1103/PhysRevA.8.2586 / Phys. Rev. A (1973)
10.1063/1.450928 / J. Chem. Phys. (1986)
10.1107/S0021889890012195 / J. Appl. Crystallogr. (1991)
10.1016/0168-9002(91)90562-5 / Nucl. Instrum. Meth. A (1991)
10.1021/ma60041a023 / Macromolecules (1974)
10.1021/ma00173a038 / Macromolecules (1987)
10.1063/1.456901 / J. Chem. Phys. (1989)
{'key': '2024020618124989700_r34'}

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 8:22 a.m.)
Deposited	1 year, 6 months ago (Feb. 6, 2024, 5:53 p.m.)
Indexed	1 year, 4 months ago (April 5, 2024, 2:54 p.m.)
Issued	32 years, 9 months ago (Dec. 1, 1992)
Published	32 years, 9 months ago (Dec. 1, 1992)
Published Print	32 years, 9 months ago (Dec. 1, 1992)

Funders 0

None

BibTeX

@article{Schwahn_1992, title={Early state of spinodal decomposition studied with small angle neutron scattering in the blend deuteropolystyrene and polyvinylmethylether: A comparison with the Cahn–Hilliard–Cook theory}, volume={97}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.463347}, DOI={10.1063/1.463347}, number={11}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Schwahn, D. and Janssen, S. and Springer, T.}, year={1992}, month=dec, pages={8775–8788} }

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