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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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13.2 Solvent effects on free radical polymerization 793<br />

The Bootstrap model may also be extended by assuming an alternative model (such as<br />

the explicit penultimate model) as the baseline model, and also by allowing the Bootstrap<br />

effect to vary as a function <strong>of</strong> monomer feed ratios. Closed expressions for composition and<br />

sequence distribution under some <strong>of</strong> these extended Bootstrap models may be found in papers<br />

by Klumperman and co-workers. 43,44<br />

13.2.3.4.3 Experimental evidence<br />

The Bootstrap model was introduced by Harwood, 116 who studied three solvent sensitive<br />

copolymerizations (styrene/methacrylic acid, styrene/acrylic acid and styrene/acrylamide)<br />

and found that the copolymers <strong>of</strong> the same composition had the same sequence distribution<br />

irrespective <strong>of</strong> the solvent used. This meant that the conditional probabilities governing radical<br />

propagation were independent <strong>of</strong> the solvent. On this basis, he argued that composition<br />

and sequence distribution were deviating from their expected values because there was a<br />

difference between the monomer feed ratios in the vicinity <strong>of</strong> the active chain end, and those<br />

calculated on the basis <strong>of</strong> the bulk feed. In other words, the solvent was altering the rates <strong>of</strong><br />

the individual propagation steps by affecting the reactant concentrations and not, as in the<br />

other solvent effects models, their reactivities. However, Fukuda et al. 31 have argued that<br />

the NMR evidence provided by Harwood is not conclusive evidence for the Bootstrap<br />

model, since Harwood’s observations could also be described by variation <strong>of</strong> the reactivity<br />

ratios in such a way that their product (r1r2) remains constant. This has also been raised as an<br />

issue by Klumperman and O’Driscoll. 43 They showed mathematically that a variation in the<br />

local comonomer ratio is not reflected in the monomer sequence distribution versus copolymer<br />

composition -this relationship being governed by the r1r2 product only. An alternative<br />

explanation for Harwood’s experimental data may be the stabilization or destabilization <strong>of</strong><br />

the radicals by the solvent, an interpretation that would be analogous to the MCD model.<br />

Simple energy stabilization considerations, as used by Fukuda et al. 119 to derive the penultimate<br />

unit effect, also suggest the constancy <strong>of</strong> r1r2. Prior to Harwood’s work, the existence <strong>of</strong> a Bootstrap effect in copolymerization was<br />

considered but rejected after the failure <strong>of</strong> efforts to correlate polymer-solvent interaction<br />

parameters with observed solvent effects. Kamachi, 37 for instance, estimated the interaction<br />

between polymer and solvent by calculating the difference between their solubility parameters.<br />

He found that while there was some correlation between polymer-solvent interaction<br />

parameters and observed solvent effects for methyl methacrylate, for vinyl acetate there<br />

was none. However, it should be noted that evidence for radical-solvent complexes in vinyl<br />

acetate systems is fairly strong (see Section 3), so a rejection <strong>of</strong> a generalized Bootstrap<br />

model on the basis <strong>of</strong> evidence from vinyl acetate polymerization is perhaps unwise.<br />

Kratochvil et al. 120<br />

investigated the possible influence <strong>of</strong> preferential solvation in<br />

copolymerizations and concluded that, for systems with weak non-specific interactions,<br />

such as STY-MMA, the effect <strong>of</strong> preferential solvation on kinetics was probably comparable<br />

to the experimental error in determining the rate <strong>of</strong> polymerization (±5%). Later,<br />

Maxwell et al. 121 also concluded that the origin <strong>of</strong> the Bootstrap effect was not likely to be<br />

bulk monomer-polymer thermodynamics since, for a variety <strong>of</strong> monomers, Flory-Huggins<br />

theory predicts that the monomer ratios in the monomer-polymer phase would be equal to<br />

that in the bulk phase. 122<br />

Nevertheless, there are many copolymerization systems for which there is strong evidence<br />

for preferential solvation, in particular, polymer solutions exhibiting cosolvency or<br />

where one <strong>of</strong> the solvents is a non-solvent for the polymer. Preferential adsorption and

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