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Ion Beam Analysis of Diffusion in Polymer Melts

Published online by Cambridge University Press:  22 February 2011

P. F. Green
Affiliation:
Dept. of Materials Science and Engineering and the Materials Science Center, Cornell University, Ithaca, NY 14853
P. J. Mills
Affiliation:
Dept. of Materials Science and Engineering and the Materials Science Center, Cornell University, Ithaca, NY 14853
C. J. Palmstrom
Affiliation:
Dept. of Materials Science and Engineering and the Materials Science Center, Cornell University, Ithaca, NY 14853
J. W. Mayer
Affiliation:
Dept. of Materials Science and Engineering and the Materials Science Center, Cornell University, Ithaca, NY 14853
E. J. Kramer
Affiliation:
Dept. of Materials Science and Engineering and the Materials Science Center, Cornell University, Ithaca, NY 14853
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Abstract

Two ion beam depth profiling methods have been used to measure the diffusion of polymer chains of molecular weight M into a matrix of polymer of molecular weight P. In the first the displacement xm of Au markers at the original interface of a diffusion couple between polystyrene with P=2×107 and a thin film of PS with M<P is measured using Rutherford backscattering spectrometry. From this modern version of the Kirkendall effect we find x=0.4t8(D*t) 0 5, where D* the tracer diffusion coefficient of the M chains at 174°C, is found to be D*=O.007M−2cm2/sec, in good agreement with the D*=DR expected for the reptation mechanism. Forward recoil spectrometry, a technique in which the energies of recoiling deuterons are detected, is used to obtain concentration profiles, and hence D*, of deuterated PS M-chains diffusing into a hydrogenated PS P-chain matrix. When P>>M, D*=0.008M−2, in good agreement with the marker data. When P<P*(M) however D*; increases greatly as P decreases; P* increases slowly with increasing M. The results are predicted quantitatively by D*=DR+DCR, where DCR=0.10Me2/(Mp 3 ) describes the diffusion of the M-chain by release of its topological constraints (by diffusion of the surrounding P-chains) and Me is an entanglement molecular weight. D* for self-diffusion (M=P) is dominated by reptation except for M's close to Me.

Type
Research Article
Copyright
Copyright © Materials Research Society 1985

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References

1. Kramer, E.J., Green, P.F., Palmstrom, C.J., Polymer 25,473 (1984)Google Scholar
2. Green, P.F., Palmstrom, C.J., Mayer, J.W., Kramer, E.J., Macromolecules (in press)Google Scholar
3. Mills, P.J., Green, P.F., Palmstrom, C.J., Mayer, J.W., Kramer, E.J Applied Physics Letters 45,9 (1984)Google Scholar
4. Green, P.F., Mills, P.J., Palmstrom, C.J., Mayer, J.W., Kramer, E.J. Physical Review Letters (in press)Google Scholar
5. Mills, P.J., Green, P.F., Palmstrom, C.J., Mayer, J.W., Kramer, E.J. Journal of Polymer Science:Polymer Physics Edition (submitted)Google Scholar
6. deGennes, P.G., Journal of Chemical Physics 35 572 (1971)Google Scholar
7. Edwards, S.F., Molecular Fluids ed. Balian, R. and Weill, G. (Gordon and Breach, London, 1976)Google Scholar
8. Graessley, W.W., J. Polym. Sce.-Polym. Polym. Phys. Ed. 18 27 (1980)Google Scholar
9. deGennes, P.G., Scaling Concepts in Polymer Physics, (Cornell Univ. Press, Ithaca, NY,1979) p.219 Google Scholar
10. Daoud, M., deGennes, P.G., J. Polym. Sce.-Polym. Phys. 17 1971 (1979)Google Scholar
11. Klein, J., ACS Polymer Preprints 22, 105 (1979)Google Scholar
12. Graessley, W.W., Adv. in Polymer Sci. 47 67 (1982)CrossRefGoogle Scholar
13. Doyle, B.L. and Peercy, P.S., Appl. Phys Lett. 34 811 (1979)CrossRefGoogle Scholar
14. Ziegler, J.F., The Stooming and Ranges of Ions in Matter Vol 4: Anderson, H.H. and Ziegler, J.F., The Stooming and Ranges of Ions in Matter Vol 3 (Pergamon Press. NY, 1977)CrossRefGoogle Scholar
15. Crank, J., The Mathematics of Diffusion 2nd Ed. (Oxford Univ. Press Oxford, UK, 1975) p.15 Google Scholar
16. Graessley, W.W., Roy. Soc. Chem. Faraday Div.., Faraday Symposium No. 18, in press; Struglinski, M.J., Doctoral Dissertation, Northwestern Univ. (1984).Google Scholar
17. Smith, B.A., Samulski, E.T., Yu, L.P. and Winnik, M.A., Phys. Rev. Letters,53, 45 (1984)Google Scholar
18. Tirrell, T,Rubber Chem. Tech. 57 523 (1984)Google Scholar