Dynamic Monte Carlo Simulation of ATRP with Bifunctional Initiators

A dynamic Monte Carlo model was developed to simulate ATRP with bifunctional initiators in a batch reactor. Model probabilities were calculated from polymerization kinetic parameters and reactor conditions. The model was used to predict monomer conversion, average molecular weight, polydispersity and the complete CLD as a function of polymerization time. The Monte Carlo model was compared with simulation results from a mathematical model that uses population balances and the method of moments. We also compared polymerizations with monofunctional and bifunctional initiators to illustrate some of the advantages of using bifunctional initiators in ATRP. In addition, we used the model to investigate the effect of the control volume and several polymerization conditions on simulation time, monomer conversion, molecular weight averages and CLD. Our results indicate that computational times can be reduced without sacrificing the quality of the results if we run several simulations with small control volumes rather than one single simulation with a large control volume.

[1]  W. Harmon Ray,et al.  Modeling of “living” free-radical polymerization processes. II. Tubular reactors , 2002 .

[2]  Shiping Zhu,et al.  Modeling the reversible addition–fragmentation transfer polymerization process , 2003 .

[3]  A. Hamielec,et al.  Kinetic model for short‐cycle bulk styrene polymerization through bifunctional initiators , 1991 .

[4]  Shiping Zhu,et al.  Modeling of molecular weight development in atom transfer radical polymerization , 1999 .

[5]  W. Ray,et al.  Modeling of “Living” Free-Radical Polymerization with RAFT Chemistry , 2001 .

[6]  Almar Postma,et al.  Living free radical polymerization with reversible addition : fragmentation chain transfer (the life of RAFT) , 2000 .

[7]  B. Boutevin,et al.  Atom transfer radical polymerization of styrene initiated by polychloroalkanes and catalyzed by CuCl/2,2′‐bipyridine: A kinetic and mechanistic study , 1998 .

[8]  E. Vivaldo‐Lima,et al.  DETAILED MODELING, SIMULATION, AND PARAMETER ESTIMATION OF NITROXIDE MEDIATED LIVING FREE RADICAL POLYMERIZATION OF STYRENE * , 2002 .

[9]  M. Al‐harthi,et al.  Mathematical Modeling of Atom‐Transfer Radical Polymerization Using Bifunctional Initiators , 2006 .

[10]  Hugh Chaffey-Millar,et al.  Advanced Computational Strategies for Modelling the Evolution of Full Molecular Weight Distributions Formed During Multiarmed (Star) Polymerisations , 2005 .

[11]  Shiping Zhu Modeling stable free‐radical polymerization , 1999 .

[12]  J. Chiefari,et al.  Living free-radical polymerization by reversible addition - Fragmentation chain transfer: The RAFT process , 1998 .

[13]  K. Matyjaszewski,et al.  Synthesis of Well-Defined Amphiphilic Block Copolymers with 2-(Dimethylamino)ethyl Methacrylate by Controlled Radical Polymerization , 1999 .

[14]  Gordon K. Hamer,et al.  Narrow molecular weight resins by a free-radical polymerization process , 1993 .

[15]  Ian D. Rees,et al.  End‐group fidelity in nitroxide‐mediated living free‐radical polymerizations , 2000 .

[16]  Didier Benoit,et al.  Development of a Universal Alkoxyamine for “Living” Free Radical Polymerizations , 1999 .

[17]  K. Matyjaszewski,et al.  Polychloroalkane initiators in copper‐catalyzed atom transfer radical polymerization of (meth)acrylates , 2000 .

[18]  M. Al‐harthi,et al.  Modeling of Atom Transfer Radical Polymerization with Bifunctional Initiators: Diffusion Effects and Case Studies , 2006 .

[19]  K. Matyjaszewski,et al.  Atom transfer radical polymerization. , 2001, Chemical reviews.

[20]  K. Matyjaszewski,et al.  Kinetic study on the activation process in an atom transfer radical polymerization , 1998 .

[21]  K. Matyjaszewski,et al.  Kinetic modeling of the chain‐end functionality in atom transfer radical polymerization , 2002 .

[22]  J. Brus,et al.  Multifunctional ATRP macroinitiators for the synthesis of graft copolymers , 2002 .

[23]  K. Matyjaszewski,et al.  Kinetic Analysis of Controlled/“Living” Radical Polymerizations by Simulations. 1. The Importance of Diffusion-Controlled Reactions , 1999 .

[24]  K. Matyjaszewski,et al.  Simple and effective one-pot synthesis of (meth)acrylic block copolymers through atom transfer radical polymerization , 2000 .

[25]  J. Kr̆íž,et al.  ATRP of (meth)acrylates initiated with a bifunctional initiator bearing trichloromethyl functional groups and structural analysis of the formed polymer , 2005 .

[26]  H. Höcker,et al.  A Novel Macroinitiator for the Synthesis of Triblock Copolymers via Atom Transfer Radical Polymerization: Polystyrene-block-poly(bisphenol A carbonate)-block-polystyrene and Poly(methyl methacrylate)-block-poly(bisphenol A carbonate)-block-poly(methyl methacrylate) , 2004 .

[27]  H. Tobita Molecular Weight Distribution of Living Radical Polymers: 1. Fundamental Distribution , 2006 .

[28]  M. Sawamoto,et al.  Metal-catalyzed living radical polymerization. , 2001, Chemical reviews.

[29]  Jianming Lu,et al.  Monte Carlo simulation of kinetics and chain-length distribution in radical polymerization , 1993 .

[30]  Krzysztof Matyjaszewski,et al.  Synthesis and Characterization of Star Polymers with Varying Arm Number, Length, and Composition from Organic and Hybrid Inorganic/Organic Multifunctional Initiators , 1999 .

[31]  Yuliang Yang,et al.  Monte Carlo Simulation of Kinetics and Chain Length Distributions in Living Free-Radical Polymerization , 1997 .

[32]  W. Ray,et al.  Modeling of “living” free‐radical polymerization processes. I. Batch, semibatch, and continuous tank reactors , 2002 .

[33]  D. Gillespie Exact Stochastic Simulation of Coupled Chemical Reactions , 1977 .

[34]  H. Tobita Molecular Weight Distribution of Living Radical Polymers: 1. Fundamental Distribution , 2006 .

[35]  D. Greszta,et al.  Mechanism of Controlled/“Living” Radical Polymerization of Styrene in the Presence of Nitroxyl Radicals. Kinetics and Simulations , 1996 .

[36]  K. Matyjaszewski,et al.  Kinetic Analysis of Controlled/“Living” Radical Polymerizations by Simulations. 2. Apparent External Orders of Reactants in Atom Transfer Radical Polymerization , 2000 .

[37]  C. Barner‐Kowollik,et al.  Modeling the reversible addition–fragmentation chain transfer process in cumyl dithiobenzoate‐mediated styrene homopolymerizations: Assessing rate coefficients for the addition–fragmentation equilibrium , 2001 .

[38]  Shiping Zhu,et al.  Effects of diffusion‐controlled reactions on atom‐transfer radical polymerization , 2002 .

[39]  Mamdouh A. Al-Harthi,et al.  Dynamic Monte Carlo Simulation of Atom‐Transfer Radical Polymerization , 2006 .