Isotope effects deuterium kinetic

4 For example, anchimerically assisted solvolyses may show the special salt effect , implicating solvent-separated ion pairs, and solvolyses of highly stabilized substrates (e.g. diphenylmethyl compounds) show the common ion effect , implicating kinetically free cations (Raber et al., 1974). Also, Hammett (1970a) has drawn attention to an inconsistency in the widely accepted interpretation of the special salt effect. 

Isotope effects in the range 0-97-T26 have been observed (Table 3) but according to Shiner (1970) an a-deuterium isotope effect close to unity (range 0-97-1-06) indicates a classical SN 2 reaction. The isotope effect is theoretically related to the molecular vibrational frequencies of the initial and transition states for the protium and deuterium compounds. Thus, nucleophilic attack must reduce the change in vibrational frequencies. 

Presumably less nucleophilically assisted solvolyses could show higher a-deuterium isotope effects, and there is a linear relationship between the magnitude of nucleophilic solvent assistance (Table 2) and the a-deuterium isotope effect for solvolyses of 2-propyl sulpho-nates (Fig. 7). Another measure of nucleophilic assistance is the ratio k2 (OH )/, where k2 is the second-order rate constant for nucleophilic attack by OH and kx is the first-order rate constant for reaction with the solvent water, and a linear correlation was obtained by plotting the ratio versus the experimentally observed isotope effects for methyl and trideuteriomethyl sulphonates, chlorides, bromides and iodides (Hartman and Robertson, 1960). Using fractionation factors the latter correlation may also be explained by a leaving group effect on initial state vibrational frequencies (Hartshorn and Shiner, 1972), but there seems to be no sound evidence to support the view that Sn2 reactions must give a-deuterium isotope effects of 1-06 or less. 

In a study of the effect of azide ion on the solvolysis of 2-octyl brosylate in aqueous acetone, Raaen et al. (1974) showed that the a-deuterium isotope effects for both the alcohol and azide produced were almost identical (1-097 0-007 and 1-106 0-007 respectively). These results imply that the rate determining step(s) for formation of alcohol and azide are either identical or very similar. A likely explanation is that the two products are formed in parallel 

Unfortunately, the prevailing view expressed in the literature is not in agreement with the above conclusion the view that no SN 2 reactions are known which show isotope effects larger than about 1-04 (Humski et al., 1974) conflicts with the observations of Raaen et al. and Westaway (discussed above) which suggest to us that some Sn 2 reactions show a-deuterium isotope effects of at least 1-10. Observation of an a-deuterium isotope effect of 1-114 0-003 led Vitullo and Wilgis (19 75) to discount the classical SN2-type mechanism for the intramolecular substitution of the chloride [36] to give [37]. 

KIEs are frequently measured to determine whether PCET reactions proceed via stepwise or concerted mechanisms. Small KIEs are frequently cited as evidence for an asynchronous PCET or stepwise ET/PT reaction whereas large KIEs often 

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Indicate mechanisms that would account for the formation of each product. Show how the isotopic substitution could cause a change in product composition. Does your mechanism predict that the isotopic substitution would give rise to a primary or secondary deuterium kinetic isotope effect Calculate the magnitude of the kinetic isotope effect from the data given. 

Leffek, Llewellyn and Robertson (1960a, b) made careful conductometric determinations of deuterium kinetic isotope effects on the solvolysis rates (in water) of some ethyl, isopropyl and n-propyl sulphonates and halides. In the case of the n-propyl compoimds,... 

What concerns us here are three topics addressing the fates of bromonium ions in solution and details of the mechanism for the addition reaction. In what follows, we will discuss the x-ray structure of the world s only known stable bromonium ion, that of adamantylideneadamantane, (Ad-Ad, 1) and show that it is capable of an extremely rapid degenerate transfer of Br+ in solution to an acceptor olefin. Second, we will discuss the use of secondary a-deuterium kinetic isotope effects (DKie) in mechanistic studies of the addition of Br2 to various deuterated cyclohexenes 2,2. Finally, we will explore the possibility of whether a bromonium ion, generated in solution from the solvolysis of traAU -2-bromo-l-[(trifluoromethanesulfonyl)oxy]cyclohexane 4, can be captured by Br on the Br+ of the bromonium ion, thereby generating olefin and Br2. This process would be... 

The use of secondary deuterium kinetic isotope effects in mechanistic studies of olefin bromination... 

Apart from a few studies (ref. 7), the use of deuterium kinetic isotope effects (kie s) appears to have had limited use in mechanistic studies of electrophilic bromination of olefins. Secondary alpha D-kie s have been reported for two cases, trans-stilbene fi and p-substituted a-d-styrenes 2, these giving relatively small inverse kie s of... 

The deuterium kinetic isotope effect between BH3-THF and BD3-THF was obtained by measuring the reaction rate constants of the two reactions with the unsaturated sulfoxide (Sj-40 independently via React-IR. The k(BH3)/k(BD3) is 1.4, consistent with hydrogen transfer not being the rate-limiting step [15, 16]. 

Deuterium kinetic isotope effects, secondary, and transition state structure, 31,143 Diazo compounds, aliphatic, reactions with acids, 5, 331... 

The density functional theory calculations of primary 14C KIE and secondary deuterium kinetic isotope effects (SKIE)220 did not reproduce satisfactorily all the experimentally determined 14C KIE and deuterium (4,4-2H2)- and 6,6-2H2-SKIE, though the non-local DFT methods provide transition state energies on a par with correlated molecular orbital theory221. 

Three mechanisms have been proposed for this reaction (Scheme 21). The reaction is first order in each of the reactants. In another study, Reutov and coworkers159 found a large primary hydrogen-deuterium kinetic isotope effect of 3.8 for the reaction of tri-(para-methylphenyl)methyl carbocation with tetrabutyltin. This isotope effect clearly demonstrates that the hydride ion is transferred in the slow step of the reaction. This means that the first step must be rate-determining if the reaction proceeds by either of the stepwise mechanisms in Scheme 21. The primary hydrogen-deuterium kinetic isotope effect is, of course, consistent with the concerted mechanism shown in Scheme 21. 

The results from these experiments also allowed Hannon and Traylor to determine the primary and secondary hydrogen deuterium kinetic isotope effects for the hydride abstraction reaction. If one assumes that there is no kinetic isotope effect associated with the formation of 3-deutero-l-butene, i.e. that CH2=CHCHDCH3 is formed at the same rate (k ) from both the deuterated and undeuterated substrate (Scheme 25), then one can obtain both the primary (where a deuteride ion is abstracted) and the secondary deuterium... 

The primary hydrogen-deuterium kinetic isotope effect is obtained from the percent cw-2-butene obtained from the deuterated and undeuterated stannanes. This is possible because a hydride and a deuteride are transferred to the carbocation when the undeuterated and deuterated stannane, respectively, forms c -2-butene. The secondary deuterium kinetic isotope effect for the hydride transfer reaction is obtained from the relative amounts of fraws-2-butene in each reaction. This is because a hydride is transferred from a deuterated and undeuterated stannane when trans-2-butene is formed. 

The primary hydrogen-deuterium kinetic isotope effect for the reaction was 3.7 and the secondary alpha-deuterium kinetic isotope effect was found to be 1.1. It is worth noting that the primary hydrogen-deuterium kinetic isotope effect of 3.7 is in excellent agreement... 

Song and Beak161 have used intramolecular and intermolecular hydrogen-deuterium kinetic isotope effects to investigate the mechanism of the tin tetrachloride catalysed ene-carbonyl enophile addition reaction between diethyloxomalonate and methylenecy-clohexane (equation 105). These ene reactions with carbonyl enophiles can occur by a concerted (equation 106) or a stepwise mechanism (equation 107), where the formation of the intermediate is either fast and reversible and the second step is slow k- > k-i), or where the formation of the intermediate (the k step) is rate-determining. 

Song and Beak found intramolecular and intermolecular hydrogen-deuterium kinetic isotope effects of 1.1 0.2 and 1.2 0.1, respectively, for the tin tetrachloride catalysed ene reaction. Since significant intramolecular and intermolecular primary deuterium kinetic isotope effects of between two and three have been found for other concerted ene addition reactions161, the tin-catalysed reaction must proceed by the stepwise pathway with the k rate determining step (equation 107). 

Abeywickrema and Beckwith162 have measured the primary hydrogen-deuterium kinetic isotope effect for the reaction between an aryl radical and tributyltin hydride. The actual isotope effect was determined by reacting tributyltin hydride and deuteride with the ort/ro-alkcnylphcnyl radical generated from 2-(3-butenyl)bromobenzene (equation 111). 

The exo and the endo ring closures (the kc reactions) are in competition with the aryl radical-tributyltin hydride transfer (the ks or ku reaction). These workers162 used this competition to determine the primary hydrogen-deuterium kinetic isotope effect in the hydride transfer reaction between the aryl radical and tributyltin hydride and deuteride. 

This method gave a primary hydrogen-deuterium kinetic isotope effect of 1.3 for the reaction between the aryl radical and tributyltin hydride. This isotope effect is smaller than the isotope effect of 1.9 which San Filippo and coworkers reported for the reaction between the less reactive alkyl radicals and tributyltin hydride163 (vide infra). The smaller isotope effect of 1.3 in the aryl radical reaction is reasonable, because an earlier transition state with less hydrogen transfer, and therefore a smaller isotope effect164, should be observed for the reaction with the more reactive aryl radicals. 

Several workers have measured the primary hydrogen-deuterium kinetic isotope effects for the reaction between organic radicals and tributyltin hydrides (equation 114). 

In one study, Ingold and coworkers166 measured the rate constants for the reactions of several alkyl radicals with tributyltin hydride using a laser flash photolytic technique and direct observation of the tributyltin radical. They also used this technique with tributyltin deuteride to determine the primary hydrogen-deuterium kinetic isotope effects for three of these reactions. The isotope effects were 1.9 for reaction of the ethyl radical, and 2.3 for reaction of the methyl and n -butyl radicals with tributyltin hydride at 300 K. 

Other primary hydrogen-deuterium kinetic isotope effects have been measured for radical reactions with tributyltin hydride. For example, Carlsson and Ingold167 found primary hydrogen-deuterium kinetic isotope effects of 2.7 and 2.8, respectively, for the... 

Finally, Franz and coworkers171 measured the rate constants and primary hydrogen-deuterium kinetic isotope effects for the radical reactions between tributyltin hydride and the neophyl and the 2-allylbenzyl radical in diphenyl ether. The isotope effect in the first reaction was 1.64 at 192.5 °C and that in the second reaction was 1.91 at 236 °C. These values compare well with those predicted from Kozuka and Lewis s primary... 

TABLE 16. The hydrogen-deuterium kinetic isotope effects measured for the oxidation of mandelic acid" by Pb(OAc)4 in benzene and in benzene-pyridine... 

However, the formation of intermediate 14 requires at least two steps, (i) a proton transfer and (ii) the formation of the cyclic intermediate. If formation of the intermediate, 14, is rate-determining, the carboxy hydrogen must be lost in a pre-equilibrium step because no deuterium kinetic isotope effect is observed for this reaction (Scheme 34). Alternatively, the mandelic acid could displace an acetate ligand in a slow step and the proton could be transferred to the acetate ion in a fast, subsequent step (Scheme 35). Unfortunately, the results do not indicate which step in the formation of the cyclic intermediate, 14, is rate-determining. 

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