Single-electron
transfer (SET)-living radical polymerization (LRP)
is a robust, fast, “green,” grafting method, similar
but different from atom transfer radical polymerization, that operates
at ambient temperature in the presence of oxygen and is industrially
attractive. Solving a simplified reaction model with only five rather
than 12 reactions in solution, for describing the SET-LRP scheme and
verifying it with experimental data, we provide (i) a useful tool
to predict conversion given initial conditions and rate constants,
and (ii) key mechanistic insights with a parametric sensitivity analysis,
illustrating the effects of initial conditions, kinetic rate constants,
temperature, and copper particle size. Findings include: (i) Increasing
the formation rate of radicals (i.e., k
act) exhibited a maximum in monomer conversion. (ii) The optimal ratio
of initial conditions was found to be [MA]0/[PnX]0/[CuIIX2/L]0 = 222/1/1.5,
where [MA]0 = 7.4 M. (iii) Increasing the temperature strongly
improved monomer conversion with an inflection point. (iv) Using an
order-of-magnitude and Damköhler number analysis, we provide
a rationale for selecting small diameter particles and specify how
they are likely to perform with SET-LRP reactions. Assumptions of
the model include: Solid copper concentration was an infinite source
of dissolved CuI and CuII and was available
instantaneously (with Damköhler number ≪ 1, for reaction
rather than diffusion limitation). Also, the reverse reaction of the
disproportionation of CuI was negligible, polymer chain
length did not affect reaction kinetics, and all intermediate reactions
were neglected.