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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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

from -0.013 to 0.20. Calculation for various solid polymers could be found in a paper <strong>of</strong><br />

Lee. 16<br />

10.2.1.2.4 Effect <strong>of</strong> ionocity and covalency: Drago’s concept<br />

Similar to the perturbation theory, Drago and Wayland 17 proposed a four-parameter equation<br />

for predicting reactions enthalpies between acid and base species. Both species are each<br />

characterized by two independent parameters: an E value which measures their ability to<br />

participate in electrostatic bonding, and a C value which measures their ability to participate<br />

in covalent bond. Both E and C values are derived empirically to give the best curve fit <strong>of</strong><br />

calculated to experimental heats <strong>of</strong> formation for the largest possible number <strong>of</strong> adducts,<br />

leading to:<br />

AB<br />

− ΔH = E E + C C<br />

A B A B [10.2.6]<br />

where:<br />

ΔH AB<br />

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

EA ability <strong>of</strong> the acid to participate in electrostatic bonding<br />

EB ability <strong>of</strong> the base to participate in electrostatic bonding<br />

CA ability <strong>of</strong> the acid to participate in covalent bonding<br />

CB ability <strong>of</strong> the base to participate in covalent bonding.<br />

A self-consistent set <strong>of</strong> E and C values is now available 18 for 33 acids and 48 bases, allowing<br />

ΔH prediction for over 1584 adducts. It is assumed that the conditions under which<br />

measurements are made (gas phase or poorly coordinating solvents) give rather constant entropy<br />

contribution and that most <strong>of</strong> adducts are <strong>of</strong> one-to-one stoichiometry. Table 10.2.2<br />

gathers Drago’s parameters, given in (kcal/mol) 0.5 <strong>of</strong> some common solvents.<br />

Table 10.2.2. Drago’s parameters <strong>of</strong> some common solvents [after reference 18]<br />

Acid CA EA Base CB EB<br />

Phenol 0.442 4.330 Acetone 2.330 0.987<br />

Chlor<strong>of</strong>orm 0.159 3.020 Benzene 0.681 0.525<br />

Water 2.450 0.330 Ethyl acetate 1.740 0.975<br />

tert-Butyl alcohol 0.300 2.040 Pyridine 6.400 1.170<br />

Iodine 1.000 1.000 Methylamine 5.880 1.300<br />

Pyrrole 0.295 2.540 Tetrahydr<strong>of</strong>uran 4.270 0.978<br />

Trifluoroethanol 0.451 3.88 Dimethylformamide 2.480 1.230<br />

The major importance <strong>of</strong> the above four parameters is their relationship with the<br />

HSAB principle. Actually, through the plot <strong>of</strong> E A versus C A for several liquids on a solid,<br />

one can obtain indirectly the values <strong>of</strong> the chemical s<strong>of</strong>tness 1/η from the slope <strong>of</strong> C/E, as<br />

represented by the following equation :<br />

E<br />

A<br />

H<br />

C<br />

E<br />

C<br />

AB<br />

Δ<br />

=− − A<br />

E<br />

B<br />

B<br />

B<br />

[10.2.7]

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