Hammett equation rings

The Hammett equation in the form of Eq. (4.14) or Eq. (4.15) is free of complications due to steric effects, since it is applied only to meta and para substituents. The geometry of the benzene ring ensures that groups in these positions cannot interact stoically with the site of reaction. Tables of a values for many substituents have been collected some values are given in Table 4.5, but substituent constants are available for a much wider range of... 

Nevertheless, many free-radical processes respond to introduction of polar substituents, just as do heterolytic processes that involve polar or ionic intermediates. The substituent effects on toluene bromination, for example, are correlated by the Hammett equation, which gives a p value of — 1.4, indicating that the benzene ring acts as an electron donor in the transition state. Other radicals, for example the t-butyl radical, show a positive p for hydrogen abstraction reactions involving toluene. ... 

The problem of applying the Hammett equation to five-membered ring systems has been extensively treated by Imoto and co-workers. All the problems discussed in the preceding section naturally recur the possible orientations not involving a vicinal relation between substituent and side-chain are ... 

The application of the Hammett equation to bicyclic aromatic compounds of the quinoline and isoquinoline type may be envisaged in several ways. In quinoline, e.g., the homocyclic ring A in 9) may be... 

The first reaction series to be considered are the basicities of the various quinolines. Baciocchi and Illuminati have demonstrated that the pK values of quinolines substituted in the B-ring follow the Hammett equation well if ApK, i.e., the difference between the pK values of substituted and unsubstituted compounds, is plotted against a, the quinoline points fall on the same line as the pyridine points, as shown in Fig. 5, so that the p-values for the two series are identical. 

Some radicals (e.g., tert-butyl, benzyl, and cyclopropyl), are nucleophilic (they tend to abstract electron-poor hydrogen atoms). The phenyl radical appears to have a very small degree of nucleophilic character. " For longer chains, the field effect continues, and the P position is also deactivated to attack by halogen, though much less so than the a position. We have already mentioned (p. 896) that abstraction of an a hydrogen atom from ring-substituted toluenes can be correlated by the Hammett equation. 

Data for substituted cyclopropane rings can be conveniently arranged in five categories substituted cyclopropane sets, cyclopropylidene sets, trans-cyc o-propylene sets, cis-cyclopropylene sets, and reactions of cyclopropane rings. The correlation of data for cyclopropanes with the Hammett equation (19) and the extended Hammett equation (215) has been reported by Charton. 

In order to put the discussion on a more quantitative basis we consider one of the more traditional and conceptually simpler methods. Obviously, when speaking about ligands one must take into account that a ligand can bear different substituents. To correlate the variation of the redox potential of a metal complex with the electronic effects played by the substituents of an aromatic ring ligand one uses the Hammett equation in its electrochemical form ... 

Positive values of a indicate electron withdrawing by the substituent, while negative values indicate electron release to the benzene ring of the acid. A listing of some avalues is provided in the literature [98-101]. Quantitative predictions of pK values use the Hammett equation as follows ... 

Substituent effects on the A,u I reaction have been studied by Bender and Chen55. These authors measured the rates of hydrolysis of a series of 4-substituted 2,6-dimethylbenzoates in 9.70 M sulphuric acid at 25°C, and found that the values for the first-order coefficients with 4-methoxy, 4-methyl, 4-unsubstituted and 4-bromo-compounds (5.0, 0.37, 0.033 and 0.01 x I0 4 sec-1, respectively) are satisfactorily correlated by the Hammett equation, following cr+ with a slope p = —3.22. Since the esters are not fully protonated in 9.70 M H2SOj, part of this factor is due to the effects of the 4-substituent on the protonation equilibrium, p for the protonation of substituted benzoic acids is about — l35, but is likely to be considerably smaller for di-ortho-substituted compounds, since the conjugative interaction of the p-substituents with the protonated carboxyl group requires coplanarity with the ring. 

Organic functional groups exert characteristic electronic effects upon other groups to which they are attached. The quantitative expression of such effects can sometimes be correlated by linear Gibbs energy relationships. The best known of these is the Hammett equation, which deals with the transmission of electronic effects across a benzene or other aromatic ring. Consider the acid dissociation constants of three classes of compounds ... 

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