Hammett p value

Table 2.4. Solvent effect on the Hammett p-values for the Diels-Alder reaction of2.4 with 2.5 catalysed by Cu(N03)2 at 25 - C.

Table 2.7. Hammett p-values for complexation of 2.4a-e to different Lewis-adds and for rate constants (kcat) of the Diels-Alder reaction of 2.4a-e with 2.5 catalysed by different Lewis-acids in water at 2.00 M ionic strength at 25°C.

For E2 eliminations in 2-phenylethyl systems with several different leaving groups, both the primary isotope effect and Hammett p values for the reactions are known. Deduce from these data the relationship between the location on the E2 transition state spectrum and the nature of the leaving group i.e., deduce which system has the most El-like transition state and which has the most Elcb-like. Explain your reasoning. 

Table 7-2. Hammett p Values for Some Rate Processes"...

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. ... 

Equation (7-51), the Taft equation, provides good correlations for many aliphatic reactions. The scope of this relationship is illustrated by Table 7-10. The reaction constant p has been interpreted along the lines described for the Hammett p values. 

The reduction of tributyltin methoxide with optically active methyl-phenyl-1-naphthylsilane involves retention of configuration at the silicon atom and follows second-order kinetics (2 72). The reaction between tributyltin methoxide and ring-substituted dimethylphenylsilanes shows a Hammett p-value of -t-0.903, and that between dimethyl-phenylsilane and ring-substituted tributyltin phenoxides shows a p-value of -1.319 this is compatible with the reactions proceeding through a 4-centered (SNi-Si) transition state (272, 173). 

In Table III are shown values of p, p, X, n, SD, / and Hammett p values obtained for additional para BA type reaction series which contain data for sufficient numbers ( ) and kinds of substituents to provide a reasonably critical analysis. We do not believe, however, that the analysis is as critical for sets which do not meet the minimal requirements for a basis set. The reaction series are segregated according to type of measurement equilibrium, rate, and fluorine nmr (F-nmr) shift. Any data set in Table III and in all tables hereafter (other than designated basis sets) which meets our minimal basis set criterion is indicated by an asterisk. 

The kinetics of the reaction of trialkyl phosphites, dialkyl aryl-phosphonites, alkyl diarylphosphinites, and triarylphosphines with Sg has been studied the effects of structural changes on the rate (Ph2POR > PhP(OR>2 > P(OR)g > Ph P) and on the Hammett p values are interpreted with respect to the mechanism. A general method to displace mercapto groups from carbon with clean inversion includes... 

The reaction goes faster in more polar solvents (a range of 106 in the rate constant) and parallels carbonium ion rearrangements in that respect. The effect of substituents in the para position of the benzoate group also suggests that the rate-determining step is the formation of an initial ion pair. The reaction is faster with the nitro than with the methoxyl substituent.819 820 The Hammett p value is 1.34. The activation parameters are not known for any but the unsubstituted member of the series however, and hence it is not known to what extent the relative rates depend upon the temperature. 

Although the reaction could proceed via intermediate 14 or 15, the authors favour a mechanism where the formation of 14 is rate-determining because the displacement of the acetate at Pb by carboxylate anions is known to be rapid. The large negative AS (—34 e.u./mol) observed for the oxidation reaction is consistent with formation of the pseudo-cyclic intermediate 14. Also, the small Hammett p value of 0.4 determined for a series of meta- and para-substituted mandelic acids indicates that there is very little charge development on the benzyl carbon in the transition state of the rate-determining step. This is also consistent with the proposed mechanism. 

The pyridine-catalysed lead tetraacetate oxidation of benzyl alcohols shows a first-order dependence in Pb(OAc)4, pyridine and benzyl alcohol concentration. An even larger primary hydrogen kinetic isotope effect of 5.26 and a Hammett p value of —1.7 led Baneijee and Shanker187 to propose that benzaldehyde is formed by the two concurrent pathways shown in Schemes 40 and 41. Scheme 40 describes the hydride transfer mechanism consistent with the negative p value. In the slow step of the reaction, labilization of the Pb—O bond resulting from the coordination of pyridine occurs as the Ca—H bond is broken. The loss of Pb(OAc)2 completes the reaction with transfer of +OAc to an anion. 

For the addition of ethylene, EtOAc as solvent was particularly advantageous and gave 418 in 60% yield (Scheme 6.86). The monosubstituted ethylenes 1-hexene, vinylcyclohexane, allyltrimethylsilane, allyl alcohol, ethyl vinyl ether, vinyl acetate and N-vinyl-2-pyrrolidone furnished [2 + 2]-cycloadducts of the type 419 in yields of 54—100%. Mixtures of [2 + 2]-cycloadducts of the types 419 and 420 were formed with vinylcyclopropane, styrene and derivatives substituted at the phenyl group, acrylonitrile, methyl acrylate and phenyl vinyl thioether (yields of 56-76%), in which the diastereomers 419 predominated up to a ratio of 2.5 1 except in the case of the styrenes, where this ratio was 1 1. The Hammett p value for the addition of the styrenes to 417 turned out to be -0.54, suggesting that there is little charge separation in the transition state [155]. In the case of 6, the p value was determined as +0.79 (see Section 6.3.1) and indicates a slight polarization in the opposite direction. This astounding variety of substrates for 417 is contrasted by only a few monosubstituted ethylenes whose addition products with 417 could not be observed or were formed in only small amounts phenyl vinyl ether, vinyl bromide, (perfluorobutyl)-ethylene, phenyl vinyl sulfoxide and sulfone, methyl vinyl ketone and the vinylpyri-dines. 

Table 13 The secondary a-deuterium and primary nitrogen KIEs and Hammett p values for the SN2 reaction between sodium thiophenoxide and benzyldimethyl-phenylammonium nitrate at different ionic strengths in DMF at 0°C. ...

The Hammett p value was obtained by changing the p-substituent on the nucleophile. 

The Hammett p values in Table 28, found by changing the p-substituent on the nucleophile in DMF and methanol, support this conclusion. The larger p value in DMF indicates that the change in charge on the nucleophilic sulfur atom is greater on going from the reactant to the transition state in DMF. Therefore, the S—Ca transition state bond is shorter in DMF than in methanol. 

The above points will now be illustrated with respect to the nitro group. The most convenient data for this purpose are for ionization in 50% v/v Et0H-H20124-126. (Data for other solvent compositions are also in the References124,125.) Ap//a values for the effects of in- and p-N02 on the various acids Ph—G—COOH, along with the corresponding Hammett p values (Section n.A), are shown in Table 4. The values of am (calc) and ap (calc) are obtained as cr(calc) = ApK /p. 

TABLE 15. The secondary alpha deuterium and primary leaving group nitrogen kinetic isotope effects and the Hammett p values for the ion-pair and free ion Sat2 reactions between benzyldimethylphenylammonium nitrate and sodium para-substituted thiophenoxides in methanol at 20 °C... 

The error in the isotope effect is l/ftplfAkn)2 + AhAd)2 x (A d)2]172 where Akn and A/. [, are the standard deviations for the rate constants for the reactions of the undeuterated and deuterated substrates, respectively. The Hammett p values were obtained by changing the para-substituent in the nucleophile. 

In the one-step symmetry-allowed mechanism, with little charge separation in the activated complex, the Hammett p-values for p-XCgH4- substituted substrates are very small. As anticipated, the reaction has a negative volume of activation. 

There was no evidence of a second-order term in amine, nor did amine self-association account for the non-linear behaviour. Hammett p values (for variation of RNHSO2) determined for formation of the complex [S.amine] (p = 1.64) and for expulsion of the anion ( ONp) (pacyi = -1-78) are consistent with an E cB process and uncomplicated by any steric effects of bound amine in the complex. The value of Pacyi is identical with that reported previously for ElcB reaction of the same esters in 50% acetonitrile-water and much greater than for their 2-type reactions in chloroform. Consequently, an ElcB mechanism involving extensive S-O bond cleavage with the formation of a A(-sulfonylamine, ArN=S02, is supported. 

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