Advanced Control of a Continuous Solution Copolymerization Process

Table 7

Kinetic mechanism for deterministic model.

(a)

Initiation	Propagation
𝐼−→^𝑘𝑖2𝐼•	𝐴𝑛,𝑚•+𝐴−−−→^𝑘𝑝𝑎𝑎𝐴𝑛+1,𝑚•
𝐼•+𝐴−−→^𝑘𝑖𝑎𝐴1,0•	𝐴𝑛,𝑚•+𝐵−−−→^𝑘𝑝𝑎𝑏𝐵𝑛,𝑚+1•
𝐼•+𝐵−−→^𝑘𝑖𝑏𝐵0,1•	𝐵𝑛,𝑚•+𝐴−−−→^𝑘𝑝𝑏𝑎𝐴𝑛+1,𝑚•
𝑆•+𝐴−−→^𝑘𝑖𝑠𝐴1,0•	𝐵𝑛,𝑚•+𝐵−−−→^𝑘𝑝𝑏𝑏𝐵𝑛,𝑚+1•
𝑆•+𝐵−−→^𝑘𝑖𝑠𝐵0,1•
𝑇•+𝐴−−→^𝑘𝑖𝑡𝐴1,0•
𝑇•+𝐵−−→^𝑘𝑖𝑡𝐵0,1•

(b)

Termination by coupling	Termination by disproportionation	Inhibition
𝐴𝑛,𝑚•+𝐴𝑟,𝑞•−−−→^𝑘𝑐𝑎𝑎𝑃𝑛+𝑟,𝑚+𝑞	𝐴𝑛,𝑚•+𝐴𝑟,𝑞•−−−→^𝑘𝑑𝑎𝑎𝑃𝑛,𝑚+𝑃𝑟,𝑞	𝐴𝑛,𝑚•+𝑍−−→^𝑘𝑧𝑎𝑃𝑛,𝑚
𝐴𝑛,𝑚•+𝐵𝑟,𝑞•−−−→^𝑘𝑐𝑎𝑏𝑃𝑛+𝑟,𝑚+𝑞	𝐴𝑛,𝑚•+𝐵𝑟,𝑞•−−−→^𝑘𝑑𝑎𝑏𝑃𝑛,𝑚+𝑃𝑟,𝑞	𝐵𝑛,𝑚•+𝑍−−→^𝑘𝑧𝑏𝑃𝑛,𝑚
𝐵𝑛,𝑚•+𝐵𝑟,𝑞•−−−→^𝑘𝑐𝑏𝑏𝑃𝑛+𝑟,𝑚+𝑞	𝐵𝑛,𝑚•+𝐵𝑟,𝑞•−−−→^𝑘𝑑𝑏𝑏𝑃𝑛,𝑚+𝑃𝑟,𝑞
Chain transfer to monomer	Chain transfer to solvent	Chain transfer to agent
𝐴𝑛,𝑚•+𝐴−−−→^𝑘𝑥𝑎𝑎𝑃𝑛,𝑚+𝐴1,0•	𝐴𝑛,𝑚•+𝑆−−−→^𝑘𝑥𝑎𝑠𝑃𝑛,𝑚+𝑆•	𝐴𝑛,𝑚•+𝑇−−−→^𝑘𝑥𝑎𝑡𝑃𝑛,𝑚+𝑇•
𝐴𝑛,𝑚•+𝐵−−−→^𝑘𝑥𝑎𝑏𝑃𝑛,𝑚+𝐵0,1•	𝐵𝑛,𝑚•+𝑆−−−→^𝑘𝑥𝑏𝑠𝑃𝑛,𝑚+𝑆•	𝐵𝑛,𝑚•+𝑇−−−→^𝑘𝑥𝑏𝑡𝑃𝑛,𝑚+𝑇•
𝐵𝑛,𝑚•+𝐴−−−→^𝑘𝑥𝑏𝑎𝑃𝑛,𝑚+𝐴1,0•
𝐵𝑛,𝑚•+𝐵−−−→^𝑘𝑥𝑏𝑏𝑃𝑛,𝑚+𝐵0,1•