Hammett-Taft substituent constant

Hammett and Taft substituent constants and, in particular. Tables 9.1 through 9.4 may also prove useful for estimating values. 

TABLE 9.1 Hammett and Taft Substituent Constants Continued)... 

RBR is the relative biological response, tt is defined as log Pg - log P where P is generally the water-octanol partition coefficent for the parent molecule and P is the partition coefficient for the molecule containing substituent S. The a s are standard Hammett or Taft substituent constants (26, 27). 

Another extension is in the field of alicyclic compounds (7, 112). In steroid compounds it has been proved that long-distance effects, e.g. from position 17 to 3 and vice versa, affect polarographic half-wave potentials. Finally it has been demonstrated (7, 113) that Hammett and Taft substituent constants can be used as a first approximation to express the substituent effects in numerous types of mono- and polycyclic heterocyclic compounds. 

Table 4. Taft s and Hammett s substituent constants of vinyloxy and vinyl compounds...

A number of early studies also found good linear relationships between the pK s of alcohols and the sum of their Hammett or Taft substituent constants, o or o [191,277,278]. Takahashi et al. found that the pK s of a large collection of alcohols could be estimated using either Taft substituent constants or the carbonyl frequencies of their esters [265]. Taft and co-workers [193] found a strong relationship (r = 0.999) between the gas-phase pKj,s ol a collection of OH acids and empirical substituent constants representing polarizability, field-inductive, and resonance effects. These workers also... 

LINEAR FREE ENERGY RELATIONSHIPS Hammett substituent constants Taft substituent constants Inductive and resonance substituent constants Steric substituent constants Homolytic substituent constants Field and resonance components Aqueous solubility The parachor... 

Hammett and Taft substituent constants have been determined for mesylate, tosylate, and triflate groups. ... 

The fundamental assumption of SAR and QSAR (Structure-Activity Relationships and Quantitative Structure-Activity Relationships) is that the activity of a compound is related to its structural and/or physicochemical properties. In a classic article Corwin Hansch formulated Eq. (15) as a linear frcc-cncrgy related model for the biological activity (e.g.. toxicity) of a group of congeneric chemicals [37, in which the inverse of C, the concentration effect of the toxicant, is related to a hy-drophobidty term, FI, an electronic term, a (the Hammett substituent constant). Stcric terms can be added to this equation (typically Taft s steric parameter, E,). 

It is instructive to consider Af-substituted azoles in reverse, i.e. the azole ring as the substituent linked to some other group. Hammett and Taft cr-constant values for azoles as substituents are given in Table 11. The values show that all the azoles are rather weak net resonance donors, imidazole being the strongest. They are all rather strong inductive acceptors, with pyrazole considerably weaker in this respect than imidazole or the triazoles. 

Hammett and Taft Benzene Ring (sijcr(S)364)... 

Taft began the LFER attack on steric effects as part of his separation of electronic and steric effects in aliphatic compounds, which is discussed in Section 7.3. For our present purposes we abstract from that treatment the portion relevant to aromatic substrates. Hammett p values for alkaline ester hydrolysis are in the range +2.2 to +2.8, whereas for acid ester hydrolysis p is close to zero (see Table 7-2). Taft, therefore, concluded that electronic effects of substituents are much greater in the alkaline than in the acid series and. in fact, that they are negligible in the acid series. This left the steric effect alone controlling relative reactivity in the acid series. A steric substituent constant was defined [by analogy with the definition of cr in Eq. (7-22)] by Eq. (7-43), where k is the rate constant for acid-catalyzed hydrolysis of an orr/to-substituted benzoate ester and k is the corresponding rate constant for the on/to-methyl ester note that CH3, not H, is the reference substituent. ... 

Substituent effects as evaluated on the basis of the Hammett equation and its extended forms, are - this has to be emphasized again — empirical results. Nevertheless, it is very soothing to know that theoretical approaches, i. e., calculations of substituent effects using ab initio molecular orbital theory (Topsom, 1976, 1981, 1983 Taft and Topsom, 1987, STO-3G and 4-31G level), give results that are consistent with the experimental data. However, it is not recommended to use only theoretically calculated substituent constants and values for F, R, and other parameters for the interpretation of experimental data. 

Before we close this section we make reference to an extended form of the Hammett equation in which the substituent constant and the reaction constant are separated into contributions from the field effect (F) and the mesomeric effect (R). This procedure was suggested by Taft in 1957 for 4-substituted benzene derivatives. It is called a dual substituent parameter (DSP) equation (Scheme 7-2). 

Oj and aR are respectively the inductive and resonance constants of Taft s analysis of ordinary composite Hammett constants (values obtained by Charton were used) and v is the steric substituent constant developed by Charton161,162. The intercept term, h, notionally corresponds to log k for H as an orfho-substituent, but is not found in practice always to agree closely with the observed value of log k for the parent system. 

In contrast to the steric effoits, the purely electronic influences of substituents are less clear. They are test documented by linear free-energy relationships, which, for the cases in question, are for the most part only plots of voltammetrically obtained peak oxidation potentials of corresponding monomers against their respective Hammett substituent constant As a rule, the linear correlations are very good for all systems, and prove, in aax>rdance with the Hammett-Taft equation, the dominance of electronic effects in the primary oxidation step. But the effects of identical substituents on the respective system s tendency to polymerize differ from parent monomer to parent monomer. Whereas thiophenes which receive electron-withdrawing substituents in the, as such, favourable P-position do not polymerize at all indoles with the same substituents polymerize particularly well... 

---