Taft substituent parameters definition

This approach to separating the different types of interaetions eontributing to a net solvent effeet has elieited much interest. Tests of the tt, a, and p seales on other solvatochromie or related proeesses have been made, an alternative tt seale based on ehemieally different solvatochromie dyes has been proposed, and the contribution of solvent polarizability to ir has been studied. Opinion is not unanimous, however, that the Kamlet-Taft system eonstitutes the best or ultimate extrathermodynamie approaeh to the study of solvent effeets. There are two objections One of these is to the averaging process by which many model phenomena are eombined to yield a single best-fit value. We eneountered this problem in Section 7.2 when we eonsidered alternative definitions of the Hammett substituent eonstant, and similar eomments apply here Reiehardt has diseussed this in the eontext of the Kamlet-Taft parameters. - The seeond objeetion is to the elaim of generality for the parameters and the eorrelation equation we will return to this eontroversy later. 

These Es parameters estimated by Eq. 4 for hetero atom substituents can be combined with those originally developed for various alkyl groups as a set of steric constants for QSAR studies of aromatic systems 6). Thus, apart from the original definition for the intramolecular steric effect, the combined set of Es parameters is able to represent intermolecular steric effects as well. The original Taft E, values for unsymmetrical alkyl groups seem to represent effective steric dimension of the groups which is scaled on the same standard as those for symmetric monoatomic substituents where the effective dimension coincides with the van der Waals radius. 

A common probe of reaction mechanisms used to infer charge distribution in the transition state involves variation of substituent groups near the reaction center. From the variation in reaction rate produced by electron-donating and electron-withdrawing groups or by the steric hindrance of various sized groups, transition state characteristics can be inferred. Two empirical correlations have been proposed and refined which provide a common framework for this process. The Hammett equation is applied to aromatic systems [45]. The Taft correlation is applied to aliphatic systems [45], Definitions of terms, collections of substituent constants (steric and electronic effects for various substituents), and listings of observed reaction response parameters (for typical reaction types) have been collected [45]. 

Equation (31) expresses the dependence of the relative rate (equilibrium) constant on the properties of the solvent characterized by the parameters Ap and Sp. The parameter Rp is proportional to the differences between the relative Gibbs free energies for the nth and sth solvent of the given and standard substrates. The parameter Sp characterizes the effect of a change of the substrate on the rate constant of the substrate with a standard substituent. In the Hammett equation this substituent is represented by hydrogen for which a was definitionally put equal to zero, while in the Taft and Taft-Pavelich equations methyl is used as the standard substituent [a = = 0). 

Finally, in this account of multiparameter extensions of the Hammett equation, we comment briefiy on the origins of the aj scale. This had its beginnings around 1956 in the a scale of Roberts and Moreland for substituents X in the reactions of 4-X-bicyclo[2.2.2]octane-l derivatives. However, at that time few values of a were available. A more practical basis for a scale of inductive substituent constants lay in the cr values for XCH2 derived from Taft s analysis of the reactivities of aliphatic esters into polar, steric, and resonance effects (see Section 3.1). For the few a values available it was shown that a for X was related to a for XCH2 by the equation o = 0.45(t. Thereafter the factor 0.45 was used to calculate O / values of X from cr values of XCH2. Taft s analysis of ester reactivities was also important because it led to the definition of the scale of substituent steric parameters, thereby permitting the development of multiparameter extensions of the Hammett equation involving steric as well as electronic terms. 

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