Koerner et al.
1071
Table 3. The average rate constants and secondary α-deuterium
Table 2. The average rate constants and secondary α-deuterium
KIEs for the sodium borohydride S 2 reactions with p-
KIEs for the sodium borohydride S 2 reactions with p-
N
N
methylbenzyl chloride in DMSO at 30.000 ± 0.002°C.
chlorobenzyl chloride in DMSO at 30.000 ± 0.002°C.
kH × 103
kD × 103
1.595 ± 0.004a 1.088 ± 0.010b 1.043
(k /k )
(k /k )/
kH × 103
kD × 103
(k /k )
(k /k )/
H D α-D
H
D α
H
D
α-D
H
D α
1
1
.735 ± 0.015a
.698 ± 0.003
1.806 ± 0.012a 1.655 ± 0.009a 1.091 ± 0.009b 1.045
1.640 ± 0.009
1.553 ± 0.017
Average
1.093 ± 0.012
1.045
1.502 ± 0.002
Average
1.092 ± 0.006
1.092 ± 0.001c 1.045
1.045
1.091 ± 0.002c 1.044
a
a
Standard deviation for three separate kinetic runs.
Standard deviation for three separate kinetic runs.
b
2
2
2
1/2
b
2
2
2 1/2
The error is 1/k [(∆k ) + (k /k ) × (∆k ) ] , where ∆k and ∆k are
The error is 1/k [(∆k ) + (k /k ) × (∆k ) ] , where ∆k and ∆k are
D H H D D H D
D
H
H
D
D
H
D
the standard deviations for the average rate constants for the reactions of
the undeuterated and deuterated nucleophiles, respectively.
the standard deviations for the average rate constants for the reactions of
the undeuterated and deuterated nucleophiles, respectively.
c
c
Standard deviation.
Standard deviation.
1
.044/α-D found in this study, confirms that the reaction is an
ride, would be unusually large as the theoretical calculations
suggest.
The problem then, is to determine whether the KIE is
SN2 process.
The secondary α-deuterium KIE = 1.091 or 1.044/α-D
found for this reaction is near the maximum secondary α-
deuterium KIE = 1.06/α-D found for an S 2 reaction of an
large because the S 2 transition state is loose but symmetric
N
N
or unsymmetric with a short H—C bond in the transition
α
alkyl chloride (7–11). Thus, the hydride ion KIE is large.
However, interpreting the KIE is difficult. Two explanations
are possible. One possibility is that the large secondary α-
deuterium KIE of 1.091 means that the transition state is
loose, and symmetric, with long nucleophile—α- carbon and
α-carbon—leaving group bonds. A large KIE would be ob-
state. Westaway et al. (12) proposed that one could deter-
mine the symmetry of the S 2 transition state if one varied a
N
substituent on the benzene ring of the substrate. If the transi-
tion state is symmetric, the structure of the transition state
and therefore, the KIE, would change with a change in
substituent. If, on the other hand, the transition state was
unsymmetric with a short H—Cα bond, changing the
substituent on the benzene ring of the substrate would not al-
ter the stronger H—Cα transition state bond significantly
served in this case because the C —H(D) out-of-plane bend-
α
ing vibrations will be low energy in the transition state.
The second possibility is that the hydride ion – p-
methylbenzyl chloride reaction has an unsymmetric transi-
tion state and an unusually large secondary α-deuterium
KIE. Westaway et al. (12) suggested that some benzyl sub-
(
the Bond Strength Hypothesis (15)) and therefore, the KIE,
which is determined by the short H—Cα bond, will not
change with substituent, i.e., the change in the long C —Cl
α
strates react via an unsymmetric S 2 transition state. In all
N
transition state bond will occur too far away to affect the
the reactions where unsymmetric S 2 transition states have
N
C —H(D) out-of-plane bending vibrations in the transition
α
been characterized in enough detail so that one knows the
relative lengths of the nucleophile—α-carbon and the α- car-
bon—leaving group bonds in the transition state, the stron-
ger reacting bond has always been short and the weaker
reacting bond has been long. Since the H—C bond is much
state (the KIE).
The secondary α-deuterium KIE for the S 2 reaction be-
tween p-chlorobenzyl chloride and sodium borohydride was
determined to learn if the S 2 transition state was symmetric
or unsymmetric. The secondary α-deuterium KIE of 1.092 ±
0.001 (Table 3), for the p-chlorobenzyl chloride hydride ion
reaction at 30.000 ± 0.002°C is identical to the KIE = 1.091
± 0.002 for the reaction with p-methylbenzyl chloride.
N
N
stronger than the C —Cl bond (the stretching frequencies
α
–
1
are 2960 and 650 cm , respectively), (13) an unsymmetric
transition state should have a short H—Cα and a long
C —Cl bond. If this is the case, one would expect a very
α
Therefore, these S 2 transition states must be unsymmetric
N
small secondary α-deuterium KIE because the out-of-plane
bending vibrations in the transition state will be determined
by only the out-of-plane bending vibrations to the short re-
acting bond (12). In fact, the secondary α-deuterium KIEs in
with short H—C and long C —Cl transition state bonds.
α
α
Since the H—C bond is short in the S 2 transition states
α
N
of hydride ion reactions, one would expect the secondary α-
deuterium KIE to be small (vide supra). However, the sec-
ondary α-deuterium KIE is large. The experimental KIEs,
therefore, are larger than expected, presumably because the
hydride ion in the transition state is too small to affect the
reactions with unsymmetric S 2 transition states are all
N
small because the out-of-plane bending vibrations in the re-
actant or the product and in the transition state are similar
(
12). In fact, this behaviour has been found experimentally.
C —H(D) out-of-plane bending vibrations (Fig. 5). This
α
For instance, in the p-substituted benzyl chloride – cyanide
ion reactions and in the cyanide ion – m-chlorobenzyl-p-sub-
stituted benzyl benzenesulphonate reactions which are be-
means the C —H(D) out-of-plane bending vibrations will be
α
very low energy in the transition state of any hydride ion
SN2 reaction and therefore, the KIE will be much larger than
lieved to have unsymmetric S 2 transition states, the
N
one would expect given the H—C or Nu···LG distance in
α
secondary α-deuterium KIEs are small, i.e., they range from
the S 2 transition state.
N
1
1
.008 to 1.011 and from 1.009 to 1.028, respectively (12,
4). Therefore, if the hydride ion – p-methylbenzyl chloride
Experimental
transition state is unsymmetric with a short H—Cα bond,
one would expect a small secondary α-deuterium KIE to be
found. The observed KIE of 1.091, which is near the maxi-
mum possible secondary α-deuterium KIE for an alkyl chlo-
The p-methylbenzyl- and p-chlorobenzyl chlorides (Aldrich)
were distilled before use. The preparation of the p-methyl-
and p-chloro-1,1-d -benzyl chlorides has been described
2
©
2000 NRC Canada