A R T I C L E S
Horner et al.
The methanol concentration effect on the intensity of the 242
nm signal clearly was not linear. As shown in Figure 2A, the
242 nm signal growth was noticeably decreased at concentra-
tions of MeOH as low as 1 × 10-4 M, but it was not completely
suppressed by 0.1 M MeOH. This behavior is consistent with
aggregation of methanol in acetonitrile in a relatively unreactive
form; presumably, the nucleophilicity of hydrogen-bonded
MeOH is reduced considerably from that of monomeric MeOH
in acetonitrile. In such a case, the ratio of products 9 and 7
would be described by eq 1, where the rate constants are those
labeled in Scheme 3, the value KMeOH is a composite of the
equilibrium constant for formation of the methanol adduct and
the dissociation constant(s) for aggregated MeOH, and X is the
effective aggregation number for MeOH. Equation 2 is the
logarithmic form of eq 1.
Reactions of radical 4a in acetonitrile or THF in the presence
of thiophenol confirmed that the heterolysis reaction giving
radical cation 6 was quite rapid. Thiophenol reacts with alkyl
radicals by H-atom transfer with k ≈ 1 × 108 M-1 s-1 24,25
,
but
the only product (>98%) found in preparative reactions of
radical 4a in the presence of up to 1 M PhSH was 2-methyl-
2-heptene, apparently formed by reduction of radical cation 6
by PhSH.26,27 The absence of the H-atom trapping product
2-methyl-3-mesyloxyheptane, which was demonstrated to be
stable to the reaction conditions, establishes a lower limit for
the rate constant for the heterolysis reaction of 4a of khet > 5 ×
109 s-1. It also suggests that collapse of the CIP to return radical
4a was slower than (presumably) diffusion-controlled reduction
of 6 by PhSH and/or that the equilibrium for the heterolysis
reaction favored the CIP.
The accumulated results with â-mesylate radical 4a show that
heterolysis in CH3CN to give radical cation 6 is exceedingly
fast, with a subnanosecond lifetime for 4a. Fast heterolysis
reactions of R-methoxy-â-mesylate,28 R-aryl-â-mesylate,29 and
â-aryl-â-mesylate30 radicals in organic solvents were previously
reported, but these radicals were precursors to stabilized enol
ether and styrene radical cations. In pulse radiolysis studies in
water,5 the rate constant reported for reaction of the radical from
propyl mesylate was 2 × 105 s-1, whereas the rate constants
for reactions of the radicals from butyl mesylate and isobutyl
mesylate were >106 s-1, which reflected the kinetic limit of
the method.5 It appears that the rate constant reported for
heterolysis of the radical from propyl mesylate is anomalous.
The limiting value for the rate constant for heterolysis of 4a,
khet > 5 × 109 s-1, suggests that the equilibrium reaction for
forming the CIP in CH3CN is exergonic in acetonitrile. That
conclusion is based on the assumption that the upper limit for
-1
[9]/[7] ) kdeprotKMeOH[MeOH]1/X(kACN
)
(1)
log([9]/[7]) )
log(KMeOHkdeprot/kACN) + 1/X log([MeOH]) (2)
Using the model of Scheme 3, we calculated the relative
amount of adducts 7 formed for each reaction from the observed
intensity of the 242 nm signal and assigned the remainder to
products 9. Figure 2B is a plot of the log of the product ratio as
a function of the log of MeOH concentration (e.g., eq 2). The
linearity of the plot over a 4 orders of magnitude change in
MeOH concentration is noteworthy. The slope is 0.36 ( 0.03,
indicating that the effective aggregation number for MeOH in
acetonitrile was about 3. The intercept of the plot is 0.56 (
0.06, which is the logarithm of the composite of the rate
constants and KMeOH. Because the observed rate for formation
of the 242 nm signal was relatively constant when MeOH was
present, kdeprot ≈ kACN, in which case KMeOH ≈ 3.6 M-1, where
the rate constant for collapse of the CIP is krec < 4 × 109 s-1
,
which is the rate constant for the highly exothermic collapse in
acetonitrile of the CIP comprised of the diphenylmethyl cation
and the chloride anion.31 In the latter case, the rate of CIP
collapse is controlled by the energy required to reorganize the
acetonitrile solvent; that is, the reaction occurs in the so-called
“solvent polarization caging regime”.31 If the equilibrium
between radical 4a and its CIP in acetonitrile favors the CIP,
then accumulation of diffusively free ions is expected because
K
MeOH is a combination of the equilibrium constant for complex
formation and dissociation constant(s) for aggregated MeOH.22
As noted above, reversible complexation of alkene radical
cations with methanol in acetonitrile solvent was previously
deduced by Arnold and co-workers from the products formed
in photochemical NOCAS (nucleophile-olefin combination,
aromatic substitution) reactions that involve alkene radical cation
intermediates.15 Reversible adduct formation as shown in
Scheme 3 also is consistent with stereoselectivity studies by
Crich and co-workers who observed racemization in cyclization
of an alkene radical cation from a chiral precursor containing a
hydroxy group, whereas the analogous amine-containing radical
cation cyclized stereoselectively.4 Reactions of MeOH with
styrene radical cations23 and with enol ether radical cations20
were reported to be second-order processes with rate constants
on the order of 106-107 M-1 s-1, but it is possible that the
nonlinear concentration effect of MeOH was not apparent in
these studies due to a limited range of MeOH concentrations
studied.
(24) Franz, J. A.; Bushaw, B. A.; Alnajjar, M. S. J. Am. Chem. Soc. 1989, 111,
268-275.
(25) Newcomb, M.; Choi, S. Y.; Horner, J. H. J. Org. Chem. 1999, 64, 1225-
1231.
(26) Reaction of PhSH with enol ether radical cations (presumed to occur by
electron transfer) to give enol ether products was previously shown to be
faster than reactions of the enol ether radical cations with aqueous solvent.
See: Giese, B.; Burger, J.; Kang, T. W.; Kesselheim, C.; Wittmer, T. J.
Am. Chem. Soc. 1992, 114, 7322-7324. Giese, B.; Beyrich-Graf, X.;
Burger, J.; Kesselheim, C.; Senn, M.; Schafer, T. Angew. Chem., Int. Ed.
Engl. 1993, 32, 1742-1743.
(27) A referee noted that the reduction of radical cation 6 by PhSH could be an
inner-sphere process involving nucleophilic capture of the radical cation
by PhSH, deprotonation of the adduct to give the â-phenylthio radical,
and elimination of phenylthiyl radical to give the observed alkene product.
The distinction between an outer-sphere and an inner-sphere reduction of
the alkene radical cation is not critical for the studies reported here, but
ancillary studies appear to support an outer-sphere process. Specifically,
substitution of thioanisole for thiophenol in matched reactions resulted in
only a ca. 20% decrease in the amount of alkene 11 formed in the reaction,
and reaction of radical 4a with MeOH in the presence of t-BuSH gave ca.
90% yield of methyl ethers from methanol trapping. For the latter case,
t-BuSH would be expected to be a better nucleophile than PhSH.
(28) Taxil, E.; Bagnol, L.; Horner, J. H.; Newcomb, M. Org. Lett. 2003, 5,
827-830.
(22) Consistent with this model, MeOD suppressed the 242 nm signal less than
MeOH when similar concentrations were compared. For example, at 0.1
M MeOD, the 242 nm signal was reduced by 30%, whereas the signal was
reduced by 55% with 0.1 M MeOH. Isotope effects are expected both in
the aggregation of MeOD (stronger hydrogen-bonding interactions) and in
the rate of deprotonation of intermediate 8 (slower deprotonation), and the
two isotope effects should work in concert to reduce production of the
product radical 9.
(29) Lancelot, S. F.; Cozens, F. L.; Schepp, N. P. Org. Biomol. Chem. 2003, 1,
1972-1979.
(30) Bagnol, L.; Horner, J. H.; Newcomb, M. Org. Lett. 2003, 5, 5055-5058.
(31) Peters, K. S.; Li, B. L. J. Phys. Chem. 1994, 98, 401-403.
(23) Johnston, L. J.; Schepp, N. P. J. Am. Chem. Soc. 1993, 115, 6564-6571.
9
14982 J. AM. CHEM. SOC. VOL. 126, NO. 45, 2004