Hydration transition states

Hydrated transition state) (Unhydrated transition state)... 

Kpp is the apparent, first-order, rate constant and k% is the infinite dilution second-order rate constant. For an A-2 reaction an equation of the same form as 22 would apply, but an acidity function H, appropriate to the more hydrated transition state would be necessary. It was suggested that H should be, approximately, — log(H+). The latter declines much less rapidly than H0 with increasing (H+) because the activity of water in such solutions is declining. 

Figure 6.10 B3LYP/6-31+G optimized hydrated transition states for the reaction Cl + RCl, R = Me, Et, /-Pr, and f-Bu. All structures are from Ref. 45 except 19a optimized for this work.

For many practically relevant material/environment combinations, thennodynamic stability is not provided, since E > E. Hence, a key consideration is how fast the corrosion reaction proceeds. As for other electrochemical reactions, a variety of factors can influence the rate detennining step. In the most straightforward case the reaction is activation energy controlled i.e. the ion transfer tlrrough the surface Helmholtz double layer involving migration and the adjustment of the hydration sphere to electron uptake or donation is rate detennining. The transition state is... 

In summary, a wealtli of experimental data as well as a number of sophisticated computer simulations univocally indicate that two important effects underlie the acceleration of Diels-Alder reactions in aqueous media hydrogen bonding and enforced hydrophobic interactionsIn terms of transition state theory hydrophobic hydration raises the initial state more tlian tlie transition state and hydrogen bonding interactions stabilise ftie transition state more than the initial state. The highly polarisable activated complex plays a key role in both of these effects. 

IS reversible with respect to reactants and products so each tiny increment of progress along the reaction coordinate is reversible Once we know the mechanism for the for ward phase of a particular reaction we also know what the intermediates and transition states must be for the reverse In particular the three step mechanism for the acid catalyzed hydration of 2 methylpropene m Figure 6 9 is the reverse of that for the acid catalyzed dehydration of tert butyl alcohol m Figure 5 6... 

FIGURE 16.8 (a) Phosphoglycolohydroxamate is an analog of the enediolate transition state of the yeast aldolase reaction, (b) Purine riboside, a potent inhibitor of the calf intestinal adenosine deaminase reaction, binds to adenosine deaminase as the 1,6-hydrate. The hydrated form of purine riboside is an analog of the proposed transition state for the reaction. 

Carbon atom, 4. See also Atomic orbitals Carbon dioxide hydration, 197-199. See also Carbonic anhydrase Carbonic anhydrase, 197-199,200 Carbonium ion transition state, 154, 159 Carboxypeptidase A, 204-205 Catalysis, general acid, 153,164,169 in carboxypeptidase A, 204-205 free energy surfaces for, 160, 161 in lysozyme, 154... 

However, the rates of hydration of these compounds are about a factor of ten to one hundred faster than predicted by means of the Taft relation. Anchimeric assistance by the hydroxyl group in the transition state for protonation, 9, has... 

Both these methods require equilibrium constants for the microscopic rate determining step, and a detailed mechanism for the reaction. The approaches can be illustrated by base and acid-catalyzed carbonyl hydration. For the base-catalyzed process, the most general mechanism is written as general base catalysis by hydroxide in the case of a relatively unreactive carbonyl compound, the proton transfer is probably complete at the transition state so that the reaction is in effect a simple addition of hydroxide. By MMT this is treated as a two-dimensional reaction proton transfer and C-0 bond formation, and requires two intrinsic barriers, for proton transfer and for C-0 bond formation. By NBT this is a three-dimensional reaction proton transfer, C-0 bond formation, and geometry change at carbon, and all three are taken as having no barrier. 

The observation of a primary solvent deuterium isotope effect (kH/fa>) = 2-4 on the specific acid-catalyzed hydrolysis of vinyl ethers provides evidence for reaction by rate-determining protonation of the alkene.69 Values of kHikD 1 are expected if alkene hydration proceeds by rate-determining addition of solvent to an oxocarbenium ion intermediate, since there is no motion of a solvent hydron at the transition state for this step. However, in the latter case, determination of the solvent isotope effect on the reaction of the fully protonated substrate is complicated by the competing exchange of deuterium from solvent into substrate (see above). 

What is retained nowadays of the initial mechanism (Scheme 1) is the occurrence of a cationic intermediate. But bromine bridging is not general, and its magnitude depends mainly on the double bond substituents (Ruasse, 1990). For example, when these are strongly electron-donating, i.e. able to stabilize a positive charge better than bromine, / -bromocarbocations are the bromination intermediates. The flexibility of transition state and intermediate stabilization puts bromination between hydration via carbocations and sulfenylation via onium ions. 

Because of the absence of any obvious reference value, the p -value of — 3.1 is not readily discussed in terms of charge magnitude or brominebridging at the rate-limiting transition states. For alkene hydration, it is now accepted that the intermediates are carbocations (20). The corresponding structure-reactivity relationship (21) is obtained by using o and [Pg.244]

It is concluded that the selectivities of electrophilic additions are not directly related to the reactivities but to the transition-state positions. Extensive comparison with similar data on the bromination and hydration of other ethylenic compounds bearing a conjugated group shows that this unexpected reactivity-selectivity behaviour can arise from an imbalance between polar and resonance effects (Ruasse, 1985). Increasing resonance in the ground state would make the transition state earlier and attenuate the kinetic selectivity more strongly than it enhances the reactivity. Hydration and halogenation probably respond differently to this imbalance. 

Transition-state shifts with reactivity and selectivities in hydration and bromination of styrenes ArCY=CH2... 

For hydration (Dubois et al, 1981a), there is a significant decrease in the sensitivity to Y with increasing reactivity, but it is smaller than that for bromination. The p-values for these additions are linearly related to each other, but bromination is twice as sensitive to ring substituent effects compared with hydration (Fig. 13). However, constant Bronsted a-exponents show that, in contrast to bromination, there is no marked shift in the transition state of hydration. 

It is therefore assumed that the p-variation in hydration comes only from a thermodynamic effect, related to a Y-dependent change in the stability of the intermediate, whereas in bromination, a transition-state shift adds to this latter effect, as expressed by (49) and (52), where log kY expresses the reactivity of PhCY=CH2. The second term in (52) is probably negligible in hydration... 

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