General matrix formula for the weight-average molecular weights of crosslinked polymer systems

Journal of Polymer Science, Part B: Polymer Physics

Volumn 36, Issue 13, 1998, Pages 2423-2433

  Tobita, Hidetaka ^a  

^a UNIVERSITY OF FUKUI   (Japan)

Author keywords

Gelation theory; Molecular weight distribution; Nonlinear polymerization; Nonrandom crosslinking

Indexed keywords

CROSSLINKING; EIGENVALUES AND EIGENFUNCTIONS; GELATION; MARKOV PROCESSES; MATHEMATICAL MODELS; MATRIX ALGEBRA; MOLECULAR WEIGHT DISTRIBUTION;

GELATION THEORY;

POLYMERS;

EID: 0032163494     PISSN: 08876266     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0488(19980930)36:13<2423::AID-POLB17>3.0.CO;2-5     Document Type: Article

References (26)

1. P. J. Flory, J. Am. Chem. Soc., 63, 3083, 3091, 3096 (1941).
2. W. H. Stockmayer, J. Chem. Phys., 11, 45 (1943).
3. W. H. Stockmayer, J. Chem. Phys., 12, 125 (1944).
4. P. J. Flory, Principles of Polymer Chemistry, Cornell University Press, Ithaca, New York, 1953.
5. M. Gordon, Proc. R. Soc. London, A268, 240 (1963).
6. C. W. Macosko and D. R. Miller, Macromolecules, 9, 199 (1976).
7. D. Durand and C. M. Bruneau, Makromol. Chem., 183, 1007 (1982).
8. D. R. Miller, E. M. Vallas, and C. W. Macosko, Polym. Eng. Sci., 19, 272 (1979).
9. W. H. Stockmayer, J. Polym. Sci., 9, 69 (1952).
10. W. H. Stockmayer, J. Polym. Sci., 11, 424 (1954).
11. H. Tobita and S. Zhu, Polymer, 38, 5431 (1997).
12. H. Tobita, Macromol. Theory Simul., submitted for publication.
13. M. Gordon and G. N. Malcolm, Proc. Roy. Soc. London, A295, 29 (1966).
14. I. J. Good, Proc. Camb. Phil. Soc., 45, 360 (1949).
15. H. Tobita, Macromol. Theory Simul., 5, 1167 (1996).
16. H. Tobita, Macromol. Theory Simul., 5, 129 (1996).
17. H. Tobita, Macromolecules, 29, 693 (1996).
18. H. Tobita, Macromolecules, 29, 3000, 3010 (1996).
19. H. Tobita, Polymer, submitted for publication.
20. A. N. Dotson, Macromolecules, 25, 308 (1992).
21. G. P. J. M. Tiemersma-Thoone, B. J. R. Scholtens, K. Dusek, and M. Gordon, J. Polym. Sci., Part B: Polym. Phys., 29, 463 (1991).
22. M. Gordon and G. Scantlebury, Trans. Faraday Soc., 60, 604 (1964).
23. D. R. Miller and C. W. Macosko, Macromolecules, 13, 1063 (1980).
24. H. Kilkson, Ind. Eng. Chem. Fundam., 2, 281 (1964).
25. Z. Tadmor and J. A. Biesenberger, Ind. Eng. Chem. Fundam., 5, 336 (1966).
26. H. Tobita and Y. Ohtani, Polymer, 33, 801 (1992).