Abstract
Kinetic equations describing the conversion (pA) and number average degree of polymerization (DPn) as a function of time for polymerization of ABn type monomers with Bf type core molecules were derived under polycondensation and multibranching polymerization (MBP) conditions. An off-lattice Monte Carlo simulation was performed to analyze polymerization under MBP and compare simulated results with theoretical predictions. The theoretical equations predict that the conversion for MBP shows a S-type curve whereas the curve for polycondensation shows a typical shape similar to that for homopolycondensation of ABn type monomers without a core molecule. For both cases, DPn is controlled by the ratio r of the number of core molecules to that of monomers. Simulation results show that the conversion curve also shows a S-type curve, this being consistent with theoretical prediction. From simulation, DPn can be controlled simply by varying the concentration of core molecules, as predicted by the theory. Low core functionality and low core concentration increase the degree of branching of the hyperbranched polymers.
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M. Johansson, E. Malmström, and A. Hult, Trends in Polym. Sci., 4, 398 (1996).
Y. H. Kim, J. Polym. Sci., Part A: Polym. Chem., 36, 1685 (1998).
P. J. Flory, J. Chem. Phys., 74, 2718 (1952).
D. Hölter, A. Burgath, and H. Frey, Acta Polym., 48, 30 (1997).
H. Frey and D. Hölter, Acta Polym., 50, 67 (1999).
E. Malmström, M. Johansson, and A. Hult, Macromolecule, 28, 1698 (1995).
D. Yan, Z. Zhou, and A. X. E. Müller, Macromolecules, 32, 245 (1999).
D. Yan and Z. Zhou, Macromolecules, 32, 819 (1999).
R. Hanselmann, D. Hölter, and H. Frey, Macromolecules, 31, 3790 (1998).
M. Suzuki, A. Ii, and T. Saegusa, Macromolecules, 25, 7071 (1992).
M. Suzuki, S. Yoshida, K. Shiraga, and T. Saegusa, Macromolecules, 31, 1716 (1998).
Y. U. Lee, S. S. Jang, and W. H. Jo, Macromol. Theory Simul., 9, 188 (2000).
W. H. Jo and Y. U. Lee, Macromol. Theory Simul., 10, 225 (2001).
A. Sunder, R. Hanselmann, H. Frey, and R. Mülhaupt, Macromolecules, 32, 4240 (1999).
U. Beginn, C. Drohmann, and M. Möller, Macromolecules, 30, 4112 (1997).
D. Yan, Z. Zhou, H. Jiang, and G. Wang, Macromol. Theory Simul., 7, 13 (1998).
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Lee, Y., Jo, W. Effects of Core Moieties on the Kinetics and Microstructures of Hyperbranched Polymers. Theoretical and Off-Lattice Monte Carlo Simulation Approach. Polym J 34, 817–824 (2002). https://doi.org/10.1295/polymj.34.817
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DOI: https://doi.org/10.1295/polymj.34.817