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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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738 Roland Schmid<br />

Figure 13.1.1. Relationship between second-order rate constants at<br />

50°C <strong>of</strong> the reaction <strong>of</strong> p-nitr<strong>of</strong>luorobenzene and piperidine and the<br />

solvent dielectric properties [from ref. 21].<br />

The first solvent property<br />

applied to correlate reactivity data<br />

was the static dielectric constant ε<br />

(also termed ε s) in the form <strong>of</strong> dielectric<br />

functions as suggested<br />

from elementary electrostatic theories<br />

as those by Born (1/ε),<br />

Kirkwood (ε-1)/(2ε+1), Clausius-<br />

Mosotti (ε-1)/(ε+2), and<br />

(ε-1)/(ε+1). A successful correlation<br />

is shown in Figure 13.1.1 for<br />

the rate <strong>of</strong> the S N2 reaction <strong>of</strong><br />

p-nitr<strong>of</strong>luorobenzene with<br />

piperidine. 3 The classical dielectric<br />

functions predict that reactivity<br />

changes level out for dielectric<br />

constants say above 30. For instance,<br />

the Kirkwood function has<br />

an upper limiting value <strong>of</strong> 0.5, with the value <strong>of</strong> 0.47 reached at ε = 25. The insert in Figure<br />

13.1.1 illustrates this point. Therefore, since it has no limiting value, the log ε function may<br />

be preferred. A theoretical justification can be given in the framework <strong>of</strong> the dielectric saturation<br />

model <strong>of</strong> Block and Walker. 4<br />

Picturing the solvent as a homogeneous dielectric continuum means in essence that the<br />

solvent molecules have zero size and that the molecules cannot move. The most adequate<br />

physical realization would be a lattice <strong>of</strong> permanent point dipoles that can rotate but cannot<br />

translate.<br />

13.1.3 THE CHEMICAL APPROACH<br />

Because <strong>of</strong> the <strong>of</strong>ten-observed inadequacies <strong>of</strong> the dielectric approach, that is, using the dielectric<br />

constant to order reactivity changes, the problem <strong>of</strong> correlating solvent effects was<br />

next tackled by the use <strong>of</strong> empirical solvent parameters measuring some solvent-sensitive<br />

physical property <strong>of</strong> a solute chosen as the model compound. Of these, spectral properties<br />

such as solvatochromic and NMR shifts have made a spectacular contribution. Other important<br />

scales are based on enthalpy data, with the best-known example being the donor number<br />

(DN) measuring solvent’s Lewis basicity.<br />

In the intervening years there is a proliferation <strong>of</strong> solvent scales that is really alarming.<br />

It was the merit particularly <strong>of</strong> Gutmann and his group to disentangle the great body <strong>of</strong> empirical<br />

parameters on the basis <strong>of</strong> the famous donor-acceptor concept or the coordination-chemical<br />

approach. 5 This concept has its roots in the ideas <strong>of</strong> Lewis going back to<br />

1923, with the terms donor and acceptor introduced by Sidgwick. 6 In this framework, the<br />

two outstanding properties <strong>of</strong> a solvent are its donor (nucleophilic, basic, cation-solvating)<br />

and acceptor (electrophilic, acidic, anion-solvating) abilities, and solute-solvent interactions<br />

are considered as acid-base reactions in the Lewis’ sense.<br />

Actually, many empirical parameters can be lumped into two broad classes, as judged<br />

from the rough interrelationships found between various scales. 7 The one class is more concerned<br />

with cation (or positive dipole’s end) solvation, with the most popular solvent basic-

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