Kinetics of nonideal hyperbranched polymerizations. 1. Numeric modeling of the structural units and the diads

Macromolecules

Volumn 33, Issue 17, 2000, Pages 6284-6294

  Schmaljohann, Dirk ^a   Barratt, Joshua G ^b   Komber, Hartmut ^c   Voit, Brigitte I ^c  

^a School of Operations Research and Industrial Engineering   (United States)

^b Institute of Polymer Research ^*  (United States)

^c LEIBNIZ INSTITUTE OF POLYMER RESEARCH DRESDEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MOLECULAR STRUCTURE; NUMERICAL ANALYSIS; POLYCONDENSATION; RATE CONSTANTS;

SELF-CONDENSING POLYMERIZATION;

VINYL RESINS;

EID: 0034702652     PISSN: 00249297     EISSN: None     Source Type: Journal    
DOI: 10.1021/ma000065m     Document Type: Article

References (43)

1. (a) Kim, Y. K. J. Polym. Sci.: Part A Polym Chem. 1998, 36, 1685.
2. (b) Voit, B. I. J. Polym. Sci.: Part A Polym Chem. 2000, 38, in press.
3. (c) Voit, B. I.; Turner, S. R. In Polymeric Materials Encyclopedia; Salamone, J., Ed.; CRC Press Inc.: Boca Raton, FL, 1996; Vol. 5 H-L, p 3177.
4. (d) Hult, A.; Malmström, E. J. Macromol. Sci., Rev. Macromol. Chem. Phys. 1997, C37, 555.
5. (e) Frey, H.; Lach, C.; Lorenz, K. Adv. Mater. 1998, 10, 279.
6. (f) Fréchet, J. M. J.; Hawker, C. J. Synthesis and Properties of Dendrimers and Hyperbranched Polymers. In Comprehensive Polymer Science; Aggarwal, S. L., Russo, S., Eds.; Elsevier Science Ltd.: Oxford, England, 1996; 2nd Supplement, p 71 ff..
7. (g) Newkome, G. R.; Moorefield, C. N.; Vögtle, F. Dendritic Molecules - Concept, Syntheses, Perspectives; VCH: Weinheim, Germany, 1996 and references in these reviews.
8. (a) Voit, B. I. Acta Polym. 1993, 46, 87-99.
9. (b) Hult, A.; Johansson, M.; Malmström, E. Adv. Polym. Sci. 1999, 143, 1-34.
10. (a) Flory, P. J. J. Am. Chem. Soc. 1952, 74, 2718.
11. (b) Flory, P. J. Principles of Polymer Chemistry; Cornell University Press: Ithaca, NY, 1952.
12. Stockmeyer, W. H. J. Chem. Phys. 1943, 11, 45-55.
13. (a) Müller, A. H. E.; Yan, D.; Wulkow, M. Macromolecules 1997, 30, 7015-7023.
14. (b) Yan, D.; Müller, A. H. E.; Matyjaszewski, K. Macromolecules 1997, 30, 7024-7033, 7034-7041, and 7042-7049.
15. (c) Radke, W.; Litvinenko, G.; Müller, A. H. E. Macromolecules 1998, 31, 239-248.
16. Beginn, U.; Drohman, C.; Möller, M. Macromolecules 1997, 30, 4112-4116.
17. (a) Hölter, D.: Burgath, A.; Frey, H. Acta Polym. 1997, 48, 30-35.
18. (b) Hölter, D.; Frey, H. Acta Polym. 1997, 48, 298-309.
19. Hanselmann, R.; Hölter, D.; Frey, H. Macromolecules 1998, 31, 3790-3801.
20. McCoy, B. J. J. Colloid Interface Sci. 1999, 216, 235-241.
21. Malmström, E.; Hult, A. Macromolecules 1996, 29, 1222-1228.
22. Dušek, K.; Šomvársky, J.; Smrcková, M.; Simonsick, W. J.; Wilczek, L. Polym. Bull. 1999, 42, 489-496.
23. (a) Cameron, C.; Fawcett, A. H.; Hetherington, C. R.; Mee, R. A. W.; McBride, F. V. Chem. Commun. 1997, 1801-1802;
24. (b) Cameron, C.; Fawcett, A. H.; Hetherington, C. R.; Mee, R. A. W.; McBride, F. V. J. Chem. Phys. 1998, 108, 8235-8251.
25. Widman, A. H.; Davies, G. R. Comput. Theor. Polym. Sci. 1998, 8, 191-199.
26. Zech, C.; Maier, G.; Voit, B.; Komber, H. Macromol. Chem. Phys. 1998, 199, 2655-2664.
27. Hobson, L. J.; Feast, W. J. Chem. Commun. 1997, 2067-2068.
28. Hawker, C. J.; Lee, R.; Fréchet, J. M. J. J. Am. Chem. Soc. 1991, 113, 4583-4588.
29. Schmaljohann, D.; Häussler, L.; Pötschke, P.; Voit, B. I.; Loontjens, J. A. Macromol. Chem. Phys. 2000, 201, 49-57.
30. (a) Burgath, A.; Möck, A.; Hanselmann, R.; Frey, H. Polym. Mater. Sci. Eng. 1999, 80, 126-127.
31. (b) Möck, A.; Burgath, A.; Hanselmann, R.; Frey, H. Polym. Mater. Sci. Eng. 1999, 80, 173-174.
32. T = rate constant for the reaction from Terminal to linear unit.
33. B = rate constant for the reaction of a vinyl group with a chloromethylene group.
34. Schmaljohann, D.; Komber, H.; Barratt, J. G.; Appelhans, D.; Voit, B. I. Manuscript in preparation.
35. (a) Fréchet, J. M. J.; Henmi, H.; Gitsov, I.; Aoshima, S.; Leduc, M. R.; Grubbs, R. B. Science 1995, 269, 1080-1083.
36. (b) Weimer, M. W.; Fréchet, J. M. J.; Gitsov, I. J. Polym. Sci.: Part A: Polym. Chem. 1998, 36, 955-970.
37. (c) Matyjaszewski, K.; Gaynor, S. G.; Kulfan, A.; Podwika, M. Macromolecules 1997, 30, 5192-5194.
38. (d) S. G. Gaynor, S. G.; Edelman, S.; Matyjaszewski, K. Macromolecules 1996, 29, 1079-1081.
39. (e) Hawker, C. J.; Fréchet, J. M. J.; Grubbs, R. B.; Dao, J. J. Am. Chem. Soc. 1995, 117, 10763-10764.
40. (a) Press: W. H.; et al. Numerical Recipes in C; Cambridge University Press: New York; 1996.
41. (b) Thomas, G. B.; Finney, R. L. In Calculus and Analytic Geometry, 7th ed.; Addison-Wesley Publishing Co.: Reading MA, 1990; pp 1129-1134.
42. Magnusson, H.; Malmstroem, E.; Hult, A. Macromol. Rapid Commun. 1999, 20, 453-457.
43. Schmaljohann, D.; Komber, H.; Voit, B. I. Acta Polym. 1999, 50, 196-204.