Taft’s Es values

TABLE 2. Taft s Es values for alkyl and cycloalkyl groups R1 and relative rate constants (R Me2 S i CI) /k ( M e3 S i CI) for the reaction of the two chlorides with lithium silanolates and lithium isopropylate in Et20 at 20 C... 

Data listed in Table 2 include the substituent constants R of triaLkylchlorosUanes and the relative rate constants fc(R Me2SiCl)/A (Me3SiCl) for the reactions of the two chlorides with lithium silanolates and isopropylate (equation 39). The reaction rates of silanes are influenced almost exclusively by the steric effects of the alkyl groups attached to the silicon atom. The log(A rei) values of the compounds with various R groups give a satisfactory correlation with Taft s Es values. Thus the steric hindrance of silyl groups follows the order listed in entry 44 of Table 1. 

In this definition ko is the rate constant for CH3COOR and k is the constant for RCOOR thus = 0 for R = CH3. Table 7-11 lists some values. Taft s Es steric constants are in some instances based on averages of several different reactions, so MacPhee et al. have defined a steric constant Es by Eq. (7-52) for a single reaction, namely, the acid-catalyzed esterification of carboxylic acids in methanol at 40°C. Es values are also given in Table 7-11. Additional Es and Es values are available. 

For the purpose of correlation analysis or linear FREE-ENERGY RELATIONS, various scales of steric parameters have been proposed, notably A values, Taft s Es, and Charton s u scales. 

To verify such a steric effect a quantitative structure-property relationship study (QSPR) on a series of distinct solute-selector pairs, namely various DNB-amino acid/quinine carbamate CSPpairs with different carbamate residues (Rso) and distinct amino acid residues (Rsa), has been set up [59], To provide a quantitative measure of the effect of the steric bulkiness on the separation factors within this solute-selector series, a-values were correlated by multiple linear and nonlinear regression analysis with the Taft s steric parameter Es that represents a quantitative estimation of the steric bulkiness of a substituent (Note s,sa indicates the independent variable describing the bulkiness of the amino acid residue and i s.so that of the carbamate residue). For example, the steric bulkiness increases in the order methyl < ethyl < n-propyl < n-butyl < i-propyl < cyclohexyl < -butyl < iec.-butyl < t-butyl < 1-adamantyl < phenyl < trityl and simultaneously, the s drops from -1.24 to -6.03. In other words, the smaller the Es, the more bulky is the substituent. The obtained QSPR equation reads as follows ... 

Taft s o has nearly the same meaning as Hammett s c (with different numerical values), Es is the steric parameter for substituent X, and 8 is a measure of the sensitivity of the reaction to changes in steric properties near the reaction center (similar to p). Extensive compilations of values of o, o and Es appear in Perrin et al. (1981) and McPhee et al. (1978), respectively. 

Px is the partition coefficient of a derivative and PH is that for the parent compound.) Also used were Hammett s o- constant, Taft s polar constant, steric parameter, Es. In a few examples (Equations 17, 21, 24, and 30), P values from oleyl alcohol/water have been used. In one instance (Equation 69) the chemical shift of a phenolic proton has been used for comparison with the a constant. Where possible, the experimentally measured partition coefficients for all members of the series have been used. In other instances only one member of a set has been measured. Values for the other members were obtained by taking advantage of the additivity principles of log P and tr. Details are given elsewhere (4, 7, and 8). For the new work of Table II, log P values for the parent compounds are given in the footnotes. 

Attempts have been made to quantify the steric features of substituents by using Taft s steric factor (Es). The value for Es can be obtained as described in Section 9.3.2. However, the number of substituents which can be studied by this method is restricted. 

In SAR work, the biological activity of compounds is usually expressed by the values of IC50 or ED50. Physico-chemical properties used in SAR can be broadly classified into three general tjq)es electronic parameters, steric parameters and hydrophobic parameters. Electronic parameters include Hammett constants o ,(7, <7 ), Swain and Lupton field parameter (F), Swain and Lupton resonance parameter (R), etc. Steric parameters include Taft s steric parameter (Eg), molecular volume (Vm), molecular surface area (Area), molecular weight (MW), van der Waals radius (r), molar refractivity (MR), parachor (Pr), etc. Hydrophobic parameters include partition coefficient (LogP), distribution coefficient (LogD), substituent constant ( ), solubility... 

The alternatives to mathematical descriptors derived from molecular graphs or molecular geometry are the traditional QSAR (quantitative structure-activity relationship) descriptors and quantum chemically computed parameters. The former include the partition coefficient for oil/water (often octanol/water) (log P), the Hammet sigma value (electronic parameter that measures the electron withdrawal from and the electron release to the aromatic ring by a substituent, the Taft s parameters for the electronic effects of substituents in aliphatic compounds (a ), and a steric parameter for the proximity of substituents on reaction sites (Es)- Also selected molecular properties, such as molar refractivity (MR), polarizability (a), molecular weight (MW), and density (d), have been used. 

The alkaline hydrolysis of phthalate diesters has been fit to the Taft-Pavelich equation (Eq. 9). Dimethyl phthalate (DMP) hydrolyzes to phthalic acid (PA) in two steps DMP + H20->MMP + CH30H and MMP + H20- PA + CH30H. The first step is about 12 times faster than the second, and nearly all the diester is converted to the monoester before product PA is formed. Other diesters are assumed to behave similarly. An LFER was obtained from rate measurements on five phthalate esters (Wolfe et al., 1980b). The reaction constants, p and S, were determined by multiple regression analysis of the measured rate constants and reported values of cr and Es for the alkyl substituents. The fitted intercept compares favorably with the measured rate constant (log kOH = — 1.16 0.02) for the dimethyl ester (for which a and s = 0 by definition). Calculated half-lives under pseudo-first-order conditions (pH 8.0, 30°C) range from about 4 months for DMP to over 100 years for di-2-ethylhexyl phthalate. 

Clayton and Purcell have illustrated the predictive utility of this method when applied to selected butyrylcholinesterase inhibitors (94). They obtained quantitative correlations using group dipole moments, and /x in addition to hydrophobic parameters. In addition, Hansch and co-workers have used Taft steric parameters (Es) (60) and pKa values to obtain excellent correlations in various systems (84). E8 has recently been shown to be quantitatively related to van der Waal s radii for symmetrical top-like substituents (98) while pKa values have been used as a measure of electron density distributions (99). Fukuto and co-workers combined Tafts Es and a parameters in a physicochemical approach to the mode of action of organophosphorus insecticides (95). 

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