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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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5.5 The phenomenological theory <strong>of</strong> solvent effects 295<br />

Notice in Table 5.5.5 that all full cancellation systems give substantial negative ΔgA values.<br />

If g is constant, ΔgA=gΔA, and the negative ΔA value leads to a solvophobic driving force<br />

<strong>of</strong> gΔAγ for complex formation. (The dioxane system in Table 5.5.5 is unassigned because<br />

its K 1 value suggests partial cancellation whereas its G value suggests full cancellation).<br />

Table 5.5.5. Parameter values <strong>of</strong> the 4-nitroaniline/α-cyclodextrin and methyl orange/<br />

α-cyclodextrin systems 19,20<br />

Cosolvent K1 G a<br />

Cancellation assignment<br />

4-Nitroaniline<br />

Acetonitrile 55 +3 Partial<br />

2-Propanol 46 -3 Partial<br />

Ethanol 29 -9 Partial<br />

Acetone 10 -57 Full<br />

Methanol 3.1 -68 Full<br />

Methyl orange<br />

Acetone 46 -3 Partial<br />

2-Propanol 43 -11 Partial<br />

Acetonitrile 40 -13 Partial<br />

Dioxane 31 -38 (Unassigned)<br />

Ethylene glycol 7.7 -58 Full<br />

DMSO 6.4 -66 Full<br />

Methanol 4.9 -43 Full<br />

a Units are � 2 molecule -1<br />

5.5.3.5 Chemical kinetics<br />

Treatment <strong>of</strong> the solvent effect on chemical reaction rates by means <strong>of</strong> the<br />

phenomenological theory is greatly facilitated<br />

by the transition state theory, which<br />

postulates that the initial and transition<br />

states are in (virtual) equilibrium. Thus the<br />

approach developed for complex formation<br />

is applicable also to chemical kinetics.<br />

Again we begin with a thermodynamic cycle,<br />

Figure 5.5.9, where R represents the reactant<br />

(initial state) in a unimolecular<br />

reaction, R � is the transition state, and P is<br />

Figure 5.5.9. Thermodynamic cycle for a unimolecular<br />

reaction. (Reproduced with permission from the Journal<br />

<strong>of</strong> Pharmaceutical Sciences, reference 21.)<br />

the product. From Figure 5.5.9 we write eq.<br />

[5.5.47], where ΔG � rxn(1) subsequently writ-

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