*Article* **Mathematical Description of the RAFT Copolymerization of Styrene and Glycidyl Methacrylate Using the Terminal Model**

**José Alfredo Tenorio-López 1, Juan José Benvenuta-Tapia 1,\* , Norma García-Navarro 1, Eduardo Vivaldo-Lima 2,\* , Pascale Champagne <sup>3</sup> and Enrique Saldívar-Guerra 4,\***


**Abstract:** A mathematical model for the kinetics, composition and molar mass development of the bulk reversible addition-fragmentation chain transfer (RAFT) copolymerization of glycidyl methacrylate (GMA) and styrene (St), at several GMA molar feed fractions at 103 ◦C, in the presence of 2-cyano isopropyl dodecyl trithiocarbonate as the RAFT agent and 1,1 -azobis(cyclohexane carbonitrile), as the initiator, is presented. The copolymerization proceeded in a controlled manner and dispersities of the copolymers remained narrow even at high conversions. Experimental data and calculated profiles of conversion versus time, composition versus conversion and molar mass development for the RAFT copolymerization of St and GMA agreed well for all conditions tested, including high-conversion regions. The kinetic rate constants associated with the RAFT- related reactions and diffusion-controlled parameters were properly estimated using a weighted nonlinear multivariable regression procedure. The mathematical model developed in this study may be used as an aid in the design and upscaling of industrial RAFT polymerization processes.

**Keywords:** glycidyl methacrylate; styrene; kinetic modeling; RAFT copolymerization
