Pd-Catalyzed Allylic Alkylation
FULL PAPER
We know that the final proportion of branched product 5b arises both
from syn and anti complexes, whereas trans product 5a must arise exclu-
sively from the syn complex, and cis product 5c can come from the anti
complex only. Thus, for all reactions:
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5
b ¼ f
s
5a þ f
a
5c
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[
[
[
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For each set of three reactions, we then get a simple set of refinement
equations by using the ratios from the preceding iteration:
(
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nþ1
n
f
f
¼ ½ð5b ꢀ fa 5cÞ=5a
t
s
nþ1
n
¼ ½ð5b ꢀ fs 5aÞ=5c
c
a
2
The above expressions converge to the final ratios in a few iterations.
With the final ratios in hand, the expected amount of branched product
can now be calculated also for the reaction employing branced substrates
5076–5083.
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b–4b. The excess observed branched-to-branched reactivity x
b
is then
given by:
3
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x
b
¼ ½ðf
s
5a þ f
a
5c ꢀ 5bÞ=ð5a þ 5b þ 5cÞ
i
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[
[
With this definition, x
tion in the reaction. In all experiments, x is found to be positive, al-
though in the experiments without chloride, it is small, possibly within
experimental uncertainty (2–7%). In the experiments with added chlo-
b
(in %) is a measure of the degree of regioreten-
b
A
C
H
T
R
E
U
N
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g
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[9]
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[10]
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[
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[
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