## Abstract In this paper, the basic principle and a Monte Carlo method are described for numerically simulating the chainβlength distribution in radical polymerization with transfer reaction to monomer. The agreement between the simulated and analytical results shows that our algorithm is suitable
Monte Carlo simulation of the chain length distribution in pulsed-laser polymerization experiments in microemulsion
β Scribed by Bart G. Manders; Alex M. van Herk; Anton L. German
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 428 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1022-1344
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β¦ Synopsis
Abstract
The Monte Carlo method has been used for numerically simulating pulsedβlaser polymerization (PLP) in microemulsion, in order to establish if a shift from inflection point to peak maximum as the best measure of the propagation rate constant, k~p~, will occur theoretically. Termination is assumed to be instantaneous in the simulations as droplet sizes can be very small in microemulsions. From the results of the simulations it is found that instantaneous termination indeed causes the peak maximum to become the best measure of k~p~. From these results it can be deduced that in bulk it is not simply the Poissonβbroadening that causes the peak maximum to yield an overestimation of k~p~. This overestimation is rather caused by the fact that the termination rate is finite leading to an asymmetrical peak in the molecular weight distribution. In combination with broadening this yields the inflection point to be the best measure of k~p~ in the bulk.
π SIMILAR VOLUMES
The photosensitized polymerization of styrene in bulk was investigated in the temperature range of 25-70Β°C with respect to the average rate coefficient of bimolecular chain termination k t , especially its chain length dependence at low conversions, by means of pulsed laser polymerization (PLP). Thr
The correct (event-weighted) average of k,, (k,), has been calculated from simulation data for pseudostationary laser-induced polymerization for a kinetic scheme with chain-length dependent termination and compared to the average k, which is obtained by employing the formal procedures, originally de
Dependencies of PDI on monomer conversion (a = ([M] 0 -[M])/[M] 0 ) for systems with [M] 0 /[I] 0 = 10 2 , computed for various (shown in the Figure) values of (k tr / k p ) N ([M] 0 /[I] 0 ). Dotted lines: systems without disproportionation (Ref. [1] ), circles: systems with disproportionation.