A R T I C L E S
Ding and Bentrude
constants for closely related reactions: k3 (tert-butoxy radical,
2.2 × 108 M-1 s-1 at 25 °C; 4 × 108 M-1 s-1 at 80 °C7); and
k4 (at 20 °C, ethyl radical,15 2.0 × 106 M-1 s-1; benzyl radical,
3.0 × 105 M-1 s-1). In these systems, one moves toward nearly
kinetic conditions by working at higher concentrations of
n-Bu3SnH (eq 4) and/or (MeO)3P. However, strictly kinetic
control (eq 6) was not observed in the kinetic study5 of
bromoepoxide 10, even when the H-transfer agent n-Bu3SnH
was used as solvent.
with R1 ) R2 ) H, ab initio calculations11 give at 25 °C: k1 )
5.2 × 109 s-1 (Ea ) 4.4 kcal/mol); k-1 ) 3.9 × 108 s-1 (Ea )
5.5 kcal/mol); ∆°2f3 ) -1.1 kcal/mol; k2 ) 1.5 × 104 s-1 (Ea
) 12.1 kcal/mol); and, for k-2 (Ea ) 15.9 kcal/mol); ∆°2f4
)
-3.8 kcal/mol. At 70 °C, an experimental estimate5 of k-1(3
f 2) of 2 × 109 s-1 has been made for the case R1 ) Ph, R2
) H (radicals from 10), which also is consistent with the
reversibility of C-O scission (2 a 3). A phenyl R1 substituent
should not significantly perturb the value of k1, which, therefore,
should be applicable generally to cases, including 9, where R1
) H, alkyl, aryl and R2 ) H. For such cases, the C-O scission
product, alcohol 21, should be formed exclusively because
k1 . k2.
It is arguable that for bromoepoxide 9, C-C cleavage of
oxiranylcarbinyl radical 2 occurs essentially irreversibly, because
vinyloxy carbinyl radical 4, once formed, is trapped by 0.02 M
n-Bu3SnH. In contrast, trapping by 0.02 M n-Bu3SnH likely
will not compete readily with reclosure of allyloxy radical 3 to
2. Thus, theoretical calculations11 for oxiranylcarbinyl radical
2 with R1 ) R2 ) H give k2 ) 1.5 × 104 s-1 (Ea ) 12.1 kcal/
mol). A value for k-2 (Ea ) 15.9 kcal/mol11) at 25 °C of 30 s-1
can be estimated from the difference (3.9 kcal/mol) in calcu-
lated11 Ea values for k2 and k-2, with the assumption that the
preexponential A values are nearly the same for both processes.
This means that at a concentration of n-Bu3SnH of 0.02 M
(Table 1) k4[n-Bu3SnH] . k-2, that is, (2 × 106 M-1 s-1 × (2
× 10-2 M) ) 4 × 104 s-1) . 30 s-1, where kH ) 2 × 106 M-1
s-1 is the rate constant for reaction of ethyl radical with
n-Bu3SnH.15 Furthermore, comparison of calculated and meas-
ured values of k-1 (calculated11 for R1 ) R2 ) H, k-1 ) 4 ×
108 M-1 s-1; experimentally estimated5 for R1 ) Ph, R2 ) H,
k-1 ) 2 × 109 M-1 s-1 at 70 °C) and k3 (calculated,11 2 × 108
M-1 s-1) shows that k-1 . k3[n-Bu3SnH]. Equation 5, therefore,
is simplified at 0.02 M n-Bu3SnH to eq 7:
The success of trimethyl phosphite as a selective trap for
allyloxy radicals (3, Scheme 1) is based on the fact that alkyl
radicals, such as 4, at best add reversibly to trimethyl phosphite
to give phosphoranyl radical intermediates ([4-P(OMe)3]•) but
fail to give product, because the subsequent â-scission of the
phosphoranyl radical to yield product 4-P(O)(OMe)2 and methyl
radical is too slow.3 In contrast, alkoxy radicals, such as 3, react
by rapid, irreversible3 addition to trimethyl phosphite (for tert-
butoxy radical with (EtO)3P, kP ) 1.7 × 109 M-1 s-1 at room
temperature8). Deoxygenation of 3 occurs cleanly by subsequent
irreversible â-scission of the phosphoranyl radical [3-P(OMe)3]•
to give the relatively stable allyl radical 6 and highly stable
trimethyl phosphate, readily assayed by GC. This reaction is
severalfold faster than abstraction of hydrogen from n-Bu3SnH
(for tert-ButO•, kH ) 2.0 × 108 M-1 s-1 at 22 °C7). Furthermore,
trimethyl phosphite is a relatively volatile liquid that even can
be used neat as solvent (ca. 8 M). Thus, neat phosphate has a
30- to 1000-fold kinetic advantage in the interception of allyloxy
radical 3 over tin hydride when the latter is present in the range
of concentrations, 0.02-0.6 M, used in this research. Phosphate
yields in these studies, therefore, account for essentially all of
the trapping of 3 and need not be adjusted for alcohol formation.
Control reactions showed at most 1-2% of phosphate to be
formed in the absence of haloepoxide (see Results).
The results for 8-13 will be discussed in the order that allows
them to be best correlated with the mechanism set forth in
Scheme 1. Special emphasis is given to the first-time use of
trimethyl phosphate as a trap of the allyloxy radical 3 (Scheme
1) and to the information gained thereby concerning the
competition between the C-C and C-O scission for the series
of oxiranylcarbinyl radicals (2) studied.
7/5 ) k1k3[n-Bu3SnH]/k2k-1
(7)
Use of the calculated11 rate constants listed above for R1 ) R2
) H in eq 7 gives a predicted 7/5 ratio of >103, consistent
with the exclusive formation of allyl alcohol 21 from bromo-
epoxide 9.
It is intuitively obvious from the above considerations
(Scheme 1; k1 . k2, k1 > k-1, k2 . k-2) that trimethyl phosphite,
especially at 1 M and above (kP[phosphite] > k-1), should be
an excellent trap for the allyoxy radicals 3 from bromoepoxide
9. It is not surprising, therefore, that trimethyl phosphate is
formed in high yields (Table 1, 5 M phosphite) to the near-
exclusion of alcohol 21 and elimination of allyl ether 22. At
Bromoepoxide 9. Bromoepoxide 9 has not been studied
previously. At modest n-Bu3SnH concentrations in the absence
of (MeO)3P (Tables 1 and 2), bromoepoxide 9 (along with 8)
gives only the product of C-O scission of oxiranylcarbinyl
radical 2, that is, allyl alcohol 21, in >90% yield. This outcome
is predicted, on the basis of previous experimental studies5,9
and calculations10,11 for oxiranylcarbinyl radicals (2, R1 ) H
or alkyl; R2 ) H or alkyl) that undergo potential scission to
intermediates 3 and 4 when radical 4 is not resonance stabilized
by a vinyl, naphthyl, or phenyl substituent. Calculated and
experimentally estimated values for k1 near room temperature
are in the range 109-1010 s-1. Thus, an experimental value for
k1 of 2 × 1010 s-1 at 25-30 °C has been measured for a case
in which the carbinyl center of oxiranylcarbinyl radical 2 is
tertiary.4 It has been pointed out11,16 that this value in fact may
be low because k1 was determined under the assumption that
step 2 f 3 (C-O scission) is irreversible, which has been shown
generally not to be true.5,16-23 For oxiranylcarbinyl radical 2
5-8 M phosphite concentrations, kP[(MeO)3P] is 109-1010 s-1
,
and deoxygenation should compete readily with reclosure of
vinyloxycarbinyl radical 3 to allyloxycarbinyl radical 2 under
conditions that begin to approach kinetic control. (As noted
earlier, at room temperature, the rate of reaction5,6,8 of tert-
BuO• with (EtO)3P is kP[(EtO)3P] ) 5 M × 1.7 × 109 M-1 s-1
) 8 × 109 s-1, whereas the calculated11 k-1 ) 4 × 108 s-1 for
R1 ) R2 ) H.)
(18) Nussbaum, A. L.; Wayne, R.; Yuan, E.; Zagneetko, O.; Oliveto, E. P. J.
Am. Chem. Soc. 1962, 84, 1070.
(19) Rawal, V. H.; Iwasa, S. Tetrahedron Lett. 1992, 33, 4687.
(20) Galatsis, P.; Millian, S. D. Tetrahedron Lett. 1991, 32, 7493.
(21) Galatsis, P.; Millan, S. D.; Faber, T. J. Org. Chem. 1993, 58, 8, 1215.
(22) Suginome, H.; Wang, J. B. J. Chem. Soc., Chem. Commun. 1990, 1629.
(23) Weinberg, J. S.; Miller, A. J. Org. Chem. 1979, 44, 4722.
(16) Ziegler, F. E.; Petersen, A. K. J. Org. Chem. 1995, 60, 2666.
(17) Amaudrut, J.; Wiest, O. Org. Lett. 2000, 2, 1251.
9
3254 J. AM. CHEM. SOC. VOL. 125, NO. 11, 2003