A theoretical model of hyperbranched polymerization involving an ABf monomer. Part 2, The average polymerization degree and dispersity index

H. Galina; M. Walczak

Published : 2022-09-01

Vol. 50 No. 10 (2005)

A theoretical model of hyperbranched polymerization involving an ABf monomer. Part 2, The average polymerization degree and dispersity index

H. Galina M. Walczak

Abstract

A generalized theoretical model of hyperbranched polymerization of an ABf monomer was used to calculate the weight average polymerization degree (Pw) and dispersity index (DM) of the resulting hyperbranched polymers. The monomer functionalities were f = 2, 4, or 6. The model derived in Part I of the series and based on the Smoluchowski coagulation equation was used. The monomer functional groups B reacted according to the first shell substitution effect principle. Both, the weight average polymerization degree and dispersity index were found to grow with conversion the faster, the higher was the monomer functionality and the more positive was the substitution effect.

Keywords

polimeryzacja hiperrozgałęziona ; model kinetyczny ; równanie koagulacyjne Smoluchowskiego ; efekt podstawienia ; funkcyjność monomerów ; wagowo średni stopień polimeryzacji ; wskaźnik dyspersyjności hyperbranched polymerization ; kinetic model ; Smoluchowski coagulation equation ; substitution effect ; functionality of the monomers ; weight average polymerization degree ; dispersity index

Details

References

Statistics

Authors

Download files

PDF

Zasady cytowania

Galina, H., & Walczak, M. (2022). A theoretical model of hyperbranched polymerization involving an ABf monomer. Part 2, The average polymerization degree and dispersity index. Polimery, 50(10), 713–717. Retrieved from https://polimery.ichp.vot.pl/index.php/p/article/view/1679

References

Voit B.: J. Polym. Sci. Part A: Polym. Chem. 2000, 38, 2505.

2. Penczek S., Biela T., Łapienis G.: Polimery 2002, 47, 600.

3. Sęk D.: Polimery 2002, 47, 757.

4. Bednarek M.: Polimery 2003, 48, 163.

5. Galina H., Lechowicz J. B.: Polimery 2001, 46, 840.

6. Jikei M., Kakimoto M.: Prog. Polym. Sci. 2001, 26, 1233.

7. Voit B. I.: C. R. Chimie 2003, 6, 821.

8. Gao C., Yan D.: Prog. Polym. Sci. 2004, 29, 183.

9. Flory P. J.: J. Am. Chem. Soc. 1952, 74, 2718.

10. Galina H., Lechowicz J. B., Kaczmarski K.: Macromol. Theory Simul. 2001, 10, 174.

11. Radke W., Litvinienko G., Müller A. H. E.: Macromolecules 1998, 31, 239.

12. Beginn Y., Drohmann C., Möller M.: Macromolecules 1997, 30, 4112.

13. Yan D., Zhou Z.: Macromolecules 1999, 32, 819.

14. Galina H., Lechowicz J. B., Walczak M.: Macromolecules 2002, 35, 3253.

15. Galina H., Lechowicz J. B., Walczak M.: Macromolecules 2002, 35, 3261.

16. Ishida Y., Sun A. C. F., Jikei M., Kakimoto M.: Macromolecules 2000, 33, 2832.

17. Hawker C. J., Chu F.: Macromolecules 1996, 29, 4370.

18. Holter D., Burgath A., Frey H. A.: Acta Polym. 1997, 48, 30.

19. Galina H.: Polimery 2003, 48, 610.

20. Galina H.: Polimery 1997, 42, 421.

21. Galina H., Lechowicz J. B.: Polimery 2001, 46, 11.

22. Galina H., Lechowicz J. B.: Adv. Polym. Sci. 1998, 137, 135.

23. Flory J. P.: “Principles of polymer chemistry”, Chapt. 9. “Molecular weight distribution in non-linear polymers and the theory of gelation”, Cornell Univ. Press, Ithaca 1953.

Google Scholar

Citing articles via

Statistics

Total abstract views : 0

PDF Downloads : 0

H. Galina hgal@prz.rzeszow.pl

Affiliation
Rzeszów University of Technology, Department of Industrial and Materials Chemistry, Al. Powstańców Warszawy 6, 35-959 Rzeszów, Poland

M. Walczak

Affiliation
Rzeszów University of Technology, Department of Industrial and Materials Chemistry, Al. Powstańców Warszawy 6, 35-959 Rzeszów, Poland