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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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578 S. Bistac, M. Brogly<br />

Graphically this means that a plot <strong>of</strong> the DN for a series <strong>of</strong> donor solvents versus -ΔH<br />

<strong>of</strong> their adducts formation with a given acid gives a straight line, allowing the determination<br />

<strong>of</strong> a A and b A. By experimentally measuring the enthalpy <strong>of</strong> formation <strong>of</strong> only two adducts<br />

for a given acid, one can predict, through the resulting a A an b A values, the enthalpy <strong>of</strong><br />

adduct formation <strong>of</strong> this acid with any other donor solvent for which DN is known.<br />

Gutmann also proposes that the enthalpy <strong>of</strong> acid-base interaction could be approximated by<br />

a two-parameters equation <strong>of</strong> the form:<br />

AN DN<br />

− ΔH =<br />

AB<br />

A B<br />

100<br />

[10.2.9]<br />

where:<br />

ΔHAB enthalpy <strong>of</strong> acid-base adduct formation<br />

DNB donor number <strong>of</strong> the base<br />

ANA acceptor number <strong>of</strong> the acid<br />

The factor <strong>of</strong> 100 converts the AN value from a percentage <strong>of</strong> the SbCl5 value to a decimal<br />

fraction. But one had to remind that on the 171 DN values reported in the literature 22<br />

only 50 were determined precisely, i.e., calorimetrically.<br />

10.2.1.2.6 Spectroscopic measurements: Fowkes’ approach<br />

Fowkes 23 has proposed that for specific functional groups involved in acid-base interaction,<br />

the enthalpy <strong>of</strong> acid-base adduct formation is related to the infrared frequency shift, Δν,<strong>of</strong><br />

its absorption band according to the following equation:<br />

ΔH = k Δν<br />

[10.2.10]<br />

AB AB AB<br />

where:<br />

ΔHAB enthalpy <strong>of</strong> acid-base adduct formation<br />

ΔνAB infrared frequency shift<br />

kAB characteristic correlation constant between IR wavenumber shift and enthalpy<br />

kAB is a characteristic constant <strong>of</strong> the functional group determined on the basis <strong>of</strong> compared<br />

infrared and microcalorimetrical results <strong>of</strong> adduct formation. As an example, the latter is<br />

equal to -0.99 kJ/mol/cm for the carbonyl group C=O. The stretching frequency <strong>of</strong> the C=O<br />

vibration band is decreased by an amount ΔνAB proportional to the enthalpy <strong>of</strong> acid-base<br />

bonding ΔHAB according to kAB. Such a methodology has recently been nicely confirmed not<br />

only for polymer-solvent adduction, but also for polymer/polymer 24 and polymer/metal 25<br />

adduction.<br />

10.2.2 EFFECT OF POLYMER/SOLVENT INTERACTIONS ON<br />

AGGREGATION OF STEREOREGULAR PMMA<br />

10.2.2.1 Aggregation <strong>of</strong> stereoregular PMMA<br />

PMMA chains are able to form aggregates in the presence <strong>of</strong> solvent 26 (in diluted solution,<br />

concentrated solution, gel or solid). Aggregation between isotactic and syndiotactic chains,<br />

after mixing in some solvents, leads to stereocomplexes, and self-aggregation corresponds<br />

to the aggregation <strong>of</strong> isotactic or syndiotactic chains together. These two kinds <strong>of</strong> aggregates<br />

result from the development <strong>of</strong> physical interactions between polymer chains. The<br />

formation <strong>of</strong> aggregates depends mainly on the PMMA degree <strong>of</strong> stereoregularity and on<br />

the nature <strong>of</strong> the solvent, but also on the temperature, the mixing time, and the<br />

isotactic/syndiotactic stoichiometric ratio for stereocomplexes. 26,27 Complexing solvents fa-

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