Cl Ion Catalyzed Interconversion of Carbocation Conformations
A R T I C L E S
carbon, yields >99% of trans diol by an axial attack of water.17
An isomeric benzylic carbocation that is constrained to a
geometry related to that of 2b, which contains an equatorial
hydroxyl group adjacent to the carbocationic center, yields
∼75% of cis diol from an axial attack of water and ∼25% of
trans diol from an equatorial attack of water.17 By analogy, an
axial attack of water on 2a to yield trans tetrol 3 should be
strongly favored. An axial attack of water on 2b to yield cis
tetrol 4 should also be favored, but to a lesser extent. An
equatorial attack of water on 2b to yield trans tetrol 3 might
also be expected to occur as a minor reaction pathway. The
observation that the acid-catalyzed hydrolysis of 1 yields mostly
trans tetrol (∼94%) can, therefore, be explained by either of
the following two mechanisms in which most of the tetrol
product is derived from an axial attack of water on 2a: (1) 2a
and 2b are in rapid equilibrium, and an attack of water on 2a
is energetically favored over attack of water on 2b or (2) epoxide
ring opening favors the formation of 2a, and the rate of attack
of water on 2a (ks) is greater than the rate of conformational
inversion of 2a to 2b (kf). We had previously17 favored the first
interpretation, since we had assumed that the conformation 2a
was preferred at equilibrium because it has one less gauche
butane interaction than 2b. An axial attack by water on the
predominant 2a rather than on the higher-energy 2b could then
provide a more favorable pathway to products, resulting in trans
tetrol. However, our present results (see below) are inconsistent
with mechanism (1) and support the alternative mechanism (2);
namely that 2a and 2b are of comparable stabilities, but initially
formed 2a is not in rapid equilibrium with 2b relative to solvent
attack.
Reaction of Chlorohydrin 5. The common ion rate depres-
sion for the hydrolysis of chlorohydrin 5 (Experimental Section)
fits a rate equation that is asymptotic to zero at high chloride
ion concentration and, thus, requires that all of the tetrol product
must be formed from the reaction of water with an intermediate
(i.e., a carbocation) whose stoichiometry does not include
chloride ion and, thus, cannot involve any type of ion pair. If
the reactions of both 1 and 5 form the same carbocation and
tetrol products are formed from this carbocation, then the tetrol
products formed from the hydrolyses of 1 and 5 should be
identical. Yet, the ratio of cis 9,10- and trans 9,10-tetrols from
reactions of 1 and 5 are different. Thus, there must be two
distinct populations of the carbocation intermediate that inter-
convert more slowly than they react with solvent. These two
populations could consist of different solvation states or different
conformations. We first considered that the hydrolysis of
chlorohydrin 5 and the acid-catalyzed hydrolysis of diol epoxide
1 give carbocations in different solvation states that could
possibly yield tetrols with different cis:trans ratios. The rate of
reaction of carbocation 2 with water has been estimated to be
formed from the reaction of 1 with H+ and that the energy
barrier for the interconversion of these conformations must be
greater than the energy barrier for the reaction of each
carbocation conformation with water.19
From the partitioning of carbocation 2 between the reaction
with water and the addition of azide ion, with the assumption
that azide ion reacts with 2 at the diffusion-limited rate constant
of 5 × 109 s-1, a value of ks for the reaction of 2 with water is
estimated to be ∼2 × 107 s-1.5 From this rate constant, the
energy barrier for the reaction of 2 with water is calculated to
be 7.5 kcal/mol. In a preliminary calculational study, gas-phase
structures of carbocation conformations 2a and b and a transition
structure for their interconversion have been calculated at the
ab initio B3LYP/6-31G* level of theory.20 Conformation 2a is
calculated to be 0.03 kcal/mol more stable than conformation
2b, and the energy difference between the transition structure
and conformation 2a is calculated to be 7.92 kcal/mol.20
Although differences in solvation effects, zero point energy, and
temperature were not taken into account, the calculated struc-
tures are consistent with our proposal that carbocation confor-
mations 2a and b have similar energies and that the barrier to
their interconversion is greater than the energy barriers for their
reactions with solvent.
Mechanistic Considerations. At chloride ion concentrations
> ∼0.1 M, the rate of reaction of chloride ion with carbocation
2 exceeds the rate of reaction of water with 2.7 The reactions
of diol epoxide 1with HCl/THF or LiCl/HOAc yield only trans
chlorohydrin 5, and this chlorohydrin is most likely the major
product from the reaction of 2 with chloride ion in water solution
and may be the intermediate responsible for the different cis/
trans tetrol ratio from the hydrolysis of 1 when chloride ion is
present in solution. However, the intermediacy of a cis chlo-
rohydrin in the hydrolysis of 1 cannot be ruled out. Regardless
of the cis/trans composition of chlorohydrin intermediates in
the hydrolysis of diol epoxide 1 in the presence of chloride ion,
the relative amounts of carbocation conformations 2a and b from
chlorohydrin hydrolysis must be different than that formed from
the acid-catalyzed epoxide ring opening of diol epoxide 1.
One possible mechanism for the acid-catalyzed hydrolysis
of diol epoxide 1 in the presence of chloride ion involving only
trans chlorohydrin 5 as an intermediate is provided in Scheme
5. If cis chlorohydrin is also an intermediate, then the mechanism
will be more complicated. In the mechanism of Scheme 5, the
energy barrier for interconversion of carbocation conformations
2a and b is greater than the energy barriers for the reaction of
each carbocation conformation with water. Diol epoxide 1 reacts
with H+ primarily from its more stable ground-state conforma-
tion to form carbocation 2a. When chloride ion is not present
in solution, conformation 2a reacts with water to yield trans
tetrol faster than it undergoes conformational isomerization to
2b. However, it has been established that, if chloride ion is
present in sufficient concentration, then the carbocation inter-
mediate (i.e., conformation 2a) reacts with chloride ion to yield
trans chlorohydrin 5 faster than it reacts with solvent.7
∼2 × 107 s-1,5 whereas solvent relaxation occurs within 10-13
-
10-11 s,18 which is many orders of magnitude faster than the
rate at which 2 reacts with solvent. Thus, we conclude that
different solvation states of a carbocation would equilibrate too
rapidly to account for the observed product differences. We are,
therefore, left to conclude that the ionization of 5 yields a
different distribution of carbocation conformations than that
(19) In the acid-catalyzed methanolysis of K-region arene oxides, a mechanism
in which the rate of solvent capture of a carbocation intermediate is
comparable to that of its conformational inversion is proposed: Nashed,
N. T.; Bax, A.; Loncharich, R. J.; Sayer, J. M., Jerina, D. M. J. Am. Chem.
Soc. 1993, 115, 1711-1722.
(20) Calculated structures, energies,Cartesian coordinates of 2a and b and a
transition structure for their interconversion are provided as Supporting
Information.
(17) Sayer, J. M.; Yagi, H.; Silverton, J. V.; Friedman, S. L.; Whalen, D. L.;
Jerina, D. M. J. Am. Chem. Soc. 1982, 104, 1972-1978.
(18) (a) Billing, G. D.; Mikkelsen, K. V. Molecular Dynamics and Chemical
Kinetics; John Wiley & Sons: New York, 1996; p 108. (b) Castner, E.
W., Jr.; Maroncelli, M.; Fleming, R. J. Chem. Phys. 1987, 86, 1090-1097.
9
J. AM. CHEM. SOC. VOL. 124, NO. 48, 2002 14385