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Polymers 2018, 10(8), 887; https://doi.org/10.3390/polym10080887

The Chain Length Distribution of an Ideal Reversible Deactivation Radical Polymerization

Laboratoire des IMRCP, Université de Toulouse, CNRS UMR 5623, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse CEDEX 9, France
Received: 18 July 2018 / Revised: 3 August 2018 / Accepted: 4 August 2018 / Published: 8 August 2018
(This article belongs to the Special Issue Polymerization Kinetics)
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Abstract

The chain length distribution (CLD) of a reversible deactivation radical polymerization at full conversion is shown to be a negative binomial distribution with parameters that are simple functions of the number-average degree of polymerization and either the chain transfer constant (in the case of polymerizations that incorporate a reversible chain transfer step) or the concentrations of dormant polymer chains and deactivating agent and the rate constants of propagation and deactivation (other types of RDRP). Expressions for the CLD at intermediate conversions are also derived, and shown to be consistent with known expressions for the number-average degree of polymerization and dispersity. It is further demonstrated that these CLDs are well-approximated by negative binomial distributions with appropriate choice of parameters. The negative binomial distribution is thus a useful model for CLDs of reversible deactivation radical polymerizations. View Full-Text
Keywords: polymer; reversible deactivation radical polymerization; chain length distribution; negative binomial distribution polymer; reversible deactivation radical polymerization; chain length distribution; negative binomial distribution
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Harrisson, S. The Chain Length Distribution of an Ideal Reversible Deactivation Radical Polymerization. Polymers 2018, 10, 887.

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