Communications to the Editor
J. Am. Chem. Soc., Vol. 123, No. 18, 2001 4365
Table 2. Arrhenius Parameters for Enol Ether Radical Cation
Reactions
the yields of 5a and 5b. In the more highly polar solvent mixtures,
2.5% TFE in ACN, ion pair escape was faster than reaction of
solventa
Arrhenius function (log k, s)b
diethyl phosphate anion with radical cations 3. The yields of 5 in
the 0.5% TFE solutions indicate that escape was about 4 times
faster than deprotonation in this reduced polarity mixture. In ACN,
the higher yield of 5a (65%) compared to 5b (25%) suggests that
the cyclization of 3a was competitive with the deprotonation
reaction. Using the estimate (see above) that cyclization of 3a
precursor
1
a
0% TFE
(9.71 ( 0.10) - (2.94 ( 0.12)/θ
(9.10 ( 0.11) - (1.57 ( 0.14)/θ
(10.47 ( 0.17) - (4.23 ( 0.21)/θ
(10.52 ( 0.12) - (3.82 ( 0.15)/θ
0
.5% TFE
0% TFE
.5% TFE
1
b
2
a
Percent of TFE in ACN. b Errors are 2σ; θ ) 2.313RT (kcal/mol).
9
-1
has a rate constant of about 1 × 10 s , the rate constant for
deprotonation of 3a by diethyl phosphate anion is also about 1
9
-1
The 6-exo cyclization of radical cation 3b was readily
characterized. In ACN at low temperatures, the kinetic traces
clearly displayed a convolution of two processes with similar rate
constants (Figure 1B), indicating that both the heterolysis and
cyclization reactions were being monitored. Arrhenius functions
for the b system were determined in the temperature range -30
to 50 °C in ACN and in ACN containing 2.5% TFE (Table 2).
The log A term was unchanged in the two solvents and was
consistent with that expected for a 6-exo cyclization.8 The
increased reactivity of the enol ether radical cation in comparison
to an alkyl radical is a result of the considerably reduced activation
energy; the rate constant for cyclization of the 6-heptenyl radical
× 10 s . From the yield of 5b, ion pair escape in ACN is about
8 -1
1/3 as fast as the deprotonation reaction, or about 3 × 10 s .
The construction of functionalized cyclic products via enol ether
radical cations has been demonstrated by Moeller and co-
workers,12 and one of the objectives of this work was to provide
kinetic information about enol ether radical cation reactions that
is useful for synthetic applications. Some general observations
in that regard are possible. If the radical heterolysis entry to enol
ether radical cations from â-phosphatoxyalkyl radicals is being
used, the solvent polarity should be great enough to permit
efficient escape of the radical cation from the first-formed ion
T
pair. The measured E (30) value for 2.5% TFE in ACN is about
3
-1 9
13
at ambient temperature is about 5 × 10 s . The slight reduction
56, similar in polarity to methanol, and solvents or mixtures
of E for cyclization of 3b with increased solvent polarity, a
a
with this E (30) value or greater should permit efficient ion pair
T
escape.14 Because the reporter group employed in this study was
feature not found in related radical cyclizations, reflects increasing
concentration of charge in the transition state as radical cation 3
evolves to distonic radical cation 4, a true oxonium ion.
Using radical cyclization kinetics as a model, one expects a
previously shown to have only a minor effect on radical kinetics,
comparable to that of an alkyl group,5 the results with 3 should
apply to simpler systems. To a first approximation, one should
expect that an enol ether radical cation will cyclize or add to an
alkene that does not contain polar groups about 3 orders of
magnitude faster than the corresponding radical, but we caution
that enol ether radical cation additions to unsubstituted alkene
groups might be reversible. An interesting observation, especially
in regard to potential cascade reaction sequences, is that the
distonic radical cation formed upon reaction of the enol ether
radical cation has both substantially reduced radical reactivity and
substantially increased cation reactivity.15
,16
5
-exo cyclization to be about 50 times faster than a 6-exo
8
cyclization, and the rate constant for cyclization of 3a should
9
-1
be about 1 × 10 s at ambient temperature on the basis of the
rate constants found for 3b. The measured rate constants for the
10
5
-exo system must be those for the heterolysis of 2a. This
conclusion is consistent with the large kinetic acceleration
associated with increased solvent polarity. In addition, the log A
terms found in ACN and 0.5% TFE in ACN (Table 2) are too
small for a 5-exo cyclization and apparently are associated with
an entropic penalty of solvent reorganization in the heterolysis.
The observed rate constants for the 7-exo cyclization of enol
ether radical cation 3c in Table 1 are upper limits. The cyclization
reactions were so slow that other reactions of diffusively free 3c
were important as indicated both by the low yields of 5c and by
an observed reduction in the rate constants when increasingly
dilute solutions of PTOC ester 1c were studied. The kinetic values
for 3c are about 2 orders of magnitude smaller than those for the
Acknowledgment. We thank the National Science Foundation (CHE-
9981746) and the National Institutes of Health (GM-56511) for financial
support.
Supporting Information Available: Tables of rate constants for the
functions in Table 2 (PDF). This material is available free of charge via
the Internet at http://pubs.acs.org.
JA015639X
6
-exo cyclization of 3b, and they are consistent with that expected
from radical kinetics. The rate constant for reaction of the
(11) Gugger, A.; Batra, R.; Rzadek, P.; Rist, G.; Giese, B. J. Am. Chem.
Soc. 1997, 119, 8740-8741. Newcomb, M.; Miranda, N.; Huang, X.; Crich,
D. J. Am. Chem. Soc. 2000, 122, 6128-6129.
-
1 9
7-octenyl radical is only about 100 s .
Semiquantitative information about the rates of conversion of
the first-formed ion pairs to diffusively free ions is provided by
(
12) Moeller, K. D.; Tinao, L. V. J. Am. Chem. Soc. 1992, 114, 1033-
1041. Tinao-Woolridge, L. V.; Moeller, K. D.; Hudson, C. M. J. Org. Chem.
1
994, 59, 2381-2389. Frey, D. A.; Reddy, H. K.; Moeller, K. D. J. Org.
(8) Johnson, C. C.; Horner, J. H.; Tronche, C.; Newcomb, M. J. Am. Chem.
Chem. 1999, 64, 2805-2813.
Soc. 1995, 117, 1684-1687. Newcomb, M.; Horner, J. H.; Filipkowski, M.
A.; Ha, C.; Park, S. U. J. Am. Chem. Soc. 1995, 117, 3674-3684. Newcomb,
M.; Choi, S. Y.; Horner, J. H. J. Org. Chem. 1999, 64, 1225-1231.
(13) Reichardt, C. Chem. ReV. 1994, 94, 2319-2358.
(14) Methanol should be an excellent solvent because it will react “slowly”
1
5
with an enol ether radical cation. In addition, rapid reaction of methanol
with the distonic radical cation products could prevent reversible conversions.
(15) Rate constants at ambient temperature for enol ether radical cation
(
9) Beckwith, A. L. J.; Moad, G. J. Chem. Soc., Chem. Commun. 1974,
4
3
72-473. Beckwith, A. L. J.; Schiesser, C. H. Tetrahedron 1985, 41, 3925-
5
6
-1 -1
941.
reactions with water are in the 1 × 10 to 1 × 10
M
s
range; see:
(
10) The “heterolysis reaction” is a complex sequence of reactions involving
Newcomb, M.; Miranda, N.; Mousumi, S.; Huang, X.; Crich, D. Submitted
for publication.
bond breaking to give a contact ion pair (CIP), solvation to the solvent-
separated ion pair (SSIP), and escape of free ions. Heterolyses of related
R-methoxy-â-(diethylphosphatoxy) radical have rate constants similar to that
found for 2a.11
(16) Horner, J. H.; Tanaka, N.; Newcomb, M. J. Am. Chem. Soc. 1998,
120, 10379-10390. Furxhi, E.; Horner, J. H.; Newcomb, M. J. Org. Chem.
1999, 64, 4064-4068.