Scale-free power-law distribution of branched polymers formed in a continuously stirred tank reactor: Simple relationship for the exponent
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| 024 | 7 | 0 | |a 10.1515/epoly.2004.4.1.878 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/epoly.2004.4.1.878 | ||
| 100 | 1 | |a Tobita |D Hidetaka |u Department of Materials Science and Engineering, University of Fukui, 3-9-1 Bunkyo, Fukui 910-8507, Japan | |
| 245 | 1 | 0 | |a Scale-free power-law distribution of branched polymers formed in a continuously stirred tank reactor: Simple relationship for the exponent |h [Elektronische Daten] |c [Hidetaka Tobita] |
| 520 | 3 | |a The high-molecular-weight tail of the molecular weight distribution (MWD) of branched polymers formed via free-radical polymerization involving polymer transfer reactions conducted in a continuously stirred tank reactor (CSTR) follows a power-law distribution. The exponent, α, of the weight fraction distribution W(M) ~ M-α is determined by the Pb value, which represents the probability that the chain end is connected to a backbone chain, with the simple relationship, α = 1/Pb. Since α > 1, the number-average molecular weight will always reach a stationary-state value but the weight-average and higher-order averages of molecular weights may continue to increase without limit under ideal CSTR conditions. Because it takes an infinitely long time for the second or a higher moment of the MWD to go to infinity, the kinetic behaviour is significantly different from usual gelation phenomena. The i-th moment of the MWD goes to infinity for Pb ≥ 1/i. | |
| 540 | |a © 2013 by Walter de Gruyter GmbH & Co. | ||
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| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Tobita |D Hidetaka |u Department of Materials Science and Engineering, University of Fukui, 3-9-1 Bunkyo, Fukui 910-8507, Japan | ||
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