cation 3 with solvent polarity, apparent in Figure 1, require
that a very short-lived and undetected species, i.e., the CIP
with τ < 1 ns, exist but collapse to rearrangement product
in competition with formation of the SSIP. The detectable
transient ion pair with τ in the range of 100-250 ns is the
SSIP. Short lifetimes for the CIP, reflecting sub-nanosecond
solvation phenomena, and longer lifetimes for the SSIP are
expected.10
The SSIP lifetimes found in this work are exceptionally
long for a polar solvent, but they are similar to those found
in low-polarity solvents.10 We speculate that the solvent
mixtures “de-mixed” around the incipient ion pair to give a
high-polarity local solvent and a lower polarity bulk solvent.
This conclusion is supported by the observation of a highly
nonlinear plot of ET(30) versus solvent composition (Sup-
porting Information), which is a signature of solvent demix-
ing in the immediate vicinity of the zwitterionic salt used to
measure ET(30). Thus, high local solvent polarity resulted
in fast fragmentations of 1, whereas the diffusive escape rate
constants for the SSIP reflect the lower polarity of the bulk
medium.
is 10-20 times faster than solvation to the SSIP, which in
turn must be at least as fast as the measured rate of ion pair
formation listed in Table 1.
Variable-temperature studies were performed in a solution
of 5% TFE in toluene. In this solvent mixture, the ion pair
collapsed to product radical 2, and no diffusively free radical
cation 3 was formed. The rate constants for formation of 3
were described by log kform ) (11.0 ( 0.3) - (4.2 ( 0.4)/θ
(errors are 2σ, θ ) 2.3RT kcal/mol), and the rate constants
for ion pair collapse were described by log kdecay ) (13.6 (
0.5) - (8.0 ( 0.5)/θ. Note that, in this case, the “collapse”
reaction involves two processes, desolvation of a solvent-
separated ion pair and true collapse of the contact ion pair
to rearranged product 2, and the desolvation step must be
the slower reaction because CIP collapse has k′recom > 1 ×
109 s-1 (see above). Thus, the relatively high activation ener-
gy measured for the collapse reaction is the energy required
to desolvate the ions, and the large entropy term in this
process reflects liberation of tightly bound solvent molecules.
The kinetic results in this work combined with those for
rearrangement of radical 1 to radical 2 in low- and medium-
polarity solvents6 indicate that reactions of 1 proceed by
initial heterolytic fragmentation in all solvents. Figure 3
The ion pair model in Scheme 2 is consistent with the
observed yields of ion pairs. The maximum percentage yields
of radical cation 3 expected on the basis of measured rate
constants were obtained from kinetic simulations, and these
values are listed in the “predicted” column in Table 2. The
Table 2. Predicted and Observed Yields of Radical Cation 3a
% TFEb
ET(30)
predicted
found
partitioningc
10
5
2.5
1
OFPd
5%, PhMee
56.2
55.6
55.0
53.8
53.2
51.3
>80
75
68
59
44
40
16.5
13
2.5
2
4.5
<1:1.3
1:4
1:4
1:20
1:20
1:10
48
Figure 3. Rate constants for reactions of radical 1 at 20 °C from
ref 6 and the present work (red circles labeled with the solvent)
and from Table 1 (red double circles), rate constants for SSIP
desolvation (blue), and rate constants for ion pair escape (green).
The regression line for the rate constants for reactions of 1 shows
the 99% confidence interval in gray.
a Maximum percentage yield of 3 predicted from rate constants and
observed experimentally. b Percentage of TFE by volume in TFT unless
noted. c Partitioning ratio for the CIP between formation of the SSIP and
collapse to 2. d 2,2,3,3,4,4,5,5-Octafluoropentan-1-ol (0.2 M) in TFT. e TFE
(5% by volume) in toluene.
“found” column in Table 2 lists the observed percentage
yields of 3 in the ion pairs. The difference between these
two values is the percentage of 3 in the CIP that collapsed
to rearranged product 2 without solvating to the SSIP. From
these values, one can calculate the partitioning of the CIP
between collapse and solvation, and these calculated parti-
tioning ratios are given in Table 2. The CIP recombination
reaction was faster than solvation in all cases and became
increasingly efficient as the solvent polarity decreased. A
limit for the CIP recombination reaction in the three lower
polarity solvents in Table 2 is k′recom > 1 × 109 s-1; this
lower limit results from the requirement that CIP collapse
contains plots of rate constants as a function of solvent
polarity as determined by ET(30) values.9 The combination
of fragmentation rate constants in high-polarity media and
rearrangement rate constants in low- and medium-polarity
solvents displays an excellent correlation with ET(30),
indicating a common mechanism in all solvents. Similar
conclusions were reached for other â-phosphate radical
reactions, where rearrangement products and/or radical
cations were observed as a function of solvent polarity.11
A
common mechanism is also suggested by the entropic factor
found for reaction of 1. Specifically, the log A ) 11 value
(10) Zhou, J. W.; Findley, B. R.; Teslja, A.; Braun, C. L.; Sutin, N. J.
Phys. Chem. A 2000, 104, 11512-11521. Devadoss, C.; Fessenden, R. W.
J. Phys. Chem. 1990, 94, 4540-4549. Vauthey, E.; Parker, A. W.; Nohova,
B.; Phillips, D. J. Am. Chem. Soc. 1994, 116, 9182-9186.
(11) (a) Whitted, P. O.; Horner, J. H.; Newcomb, M.; Huang, X. H.;
Crich, D. Org. Lett. 1999, 1, 153-156. (b) Newcomb, M.; Horner, J. H.;
Whitted, P. O.; Crich, D.; Huang, X. H.; Yao, Q. W.; Zipse, H. J. Am.
Chem. Soc. 1999, 121, 10685-10694.
Org. Lett., Vol. 5, No. 26, 2003
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