The thermodynamic formulation of transition state theory is applied
to compute the effect of the medium (solvent type and concentration)
on the copolymer composition obtained in radical copolymerization.
The magnitude of the medium effect on the deviation of the reactivity
ratios (of the terminal model) with respect to the value observed
in a reference state is shown to be linked to the degree of the thermodynamic
nonideality of the system and, more specifically, to the activity
coefficients of the two monomers and transition states involved in
each reactivity ratio. To illustrate and validate this thermodynamic
approach, the quantum chemistry-based solvation model COSMO-RS (Conductor-like
Screening MOdel for Real Solvents) was used to estimate the relevant
activity coefficients for a variety of comonomer–solvent combinations
for which copolymer composition curves are reported in the literature.
The evaluation was based on a limited (by necessity) but broad selection
of systems for which different qualitative explanations for the medium
effect are proposed in the literature. Overall, the comparison between
measurements and predictions shows that the qualitative trends are
well captured, and in many cases, the quantitative agreement is also
quite remarkable, demonstrating the potential of our unified approach.
There is one exception: for reasons not yet understood, our method
considerably fails for copolymer systems involving amide monomers.