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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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530 Y. Y. Fialkov, V. L. Chumak<br />

lnK dim = -1.72 + 1817.1/T + 0.92/ε + 1553.4/εT<br />

The dimer form concentration, c M (mol/l), is related to initial analytical concentration<br />

<strong>of</strong> dissolved compound and dimerization constant in equation:<br />

o ( M )<br />

o<br />

12 /<br />

cM = ⎡4K<br />

cM + − K c + ⎤<br />

dim 1 8 dim 1 / 8Kdim<br />

[9.59]<br />

⎣⎢<br />

⎦⎥<br />

o<br />

One can calculate, with the help <strong>of</strong> this equation, that in hexane at c M = 0.1, half <strong>of</strong> the dissolved<br />

acetic acid is in dimer form (Kdim ≈ 1.5×10 3 ). In nitrobenzene solution (Kdim ≈ 10 2 ),<br />

only a third <strong>of</strong> analytical concentration <strong>of</strong> acid is in dimer form. For phenol these values are<br />

12% and 2%, respectively. Therefore the composition variation <strong>of</strong> universal mixed solvents,<br />

for instance, using hexane-nitrobenzene binary solvent, is an effective method to<br />

control the molecular composition <strong>of</strong> dissolved compounds able to undergo homomolecular<br />

association, in particular, through H-bonding.<br />

Typically, in specific solvents, the process <strong>of</strong> monomer formation [9.57] is characterized<br />

by considerably lower dimerization constants, as compared with those in universal media.<br />

In fact, acetic acid dimerization constant in water-dioxane binary solvent, the<br />

components <strong>of</strong> which are solvation-active in respect to the acid, vary in the 0.05-1.2 range.<br />

Replacing the solvent is <strong>of</strong>ten the only method to vary the molecular association state <strong>of</strong> dissolved<br />

compound. To achieve dimer concentration in 0.1 M solution <strong>of</strong> phenol in n-hexane<br />

equal to dimer concentration in nitrobenzene solution (50% at 25 o C), it would be necessary<br />

to heat the solution to 480 o C, but it is impossible under ordinary experimental conditions.<br />

9.4.3 MIXED SOLVENT INFLUENCE ON THE CONFORMER EQUILIBRIUM<br />

Equilibrium took place in solutions<br />

Conformer I ↔ Conformer II [9.60]<br />

and the special case, such as<br />

Cis-isomer ↔ Trans-isomer [9.61]<br />

when investigated in detail. But the concentration-determining methods <strong>of</strong> equilibrium<br />

[9.60, 9.61] members are <strong>of</strong>ten not very precise. Dielcometry, or in our measurement the<br />

mean dipole moment, can be used only in the low-polar solvents. The NMR methods allowed<br />

us to obtain the equilibrium constants <strong>of</strong> processes by the measurement <strong>of</strong> chemical<br />

dislocation and constants <strong>of</strong> spin-spin interactions <strong>of</strong> nucleuses, which are quite precise but<br />

only at low temperatures (that is why the numerous data, on conformer and isomerization<br />

equilibrium, in comparison with other types <strong>of</strong> equilibria, are in solutions at low temperatures).<br />

It is evident that the accuracy <strong>of</strong> the experimental definition <strong>of</strong> equilibrium constants<br />

<strong>of</strong> the investigated process is insufficient. Thus, the summarization <strong>of</strong> experimental data on<br />

solvent effect on [9.60, 9.61] equilibrium encounters several difficulties.<br />

As a rule, the differences in conformer energies are not very high and change from one<br />

tenth to 10-12 kJ/mol. This is one order value with dipole-dipole interaction and specific<br />

solvation energies, even in low-active solvents. Moreover, the dipole moments <strong>of</strong> con-

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