Chemistry Reference
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Table 18 Possible point groups and conformations of the transition state for E , Z -isomerization of
the twisted conformation t- D 2
Group of permutation-inversion operators
n TS Cp a
b
TS
h TS
{ E , (18)(1 0 8 0 ), (11 0 88 0 )(99 0 )*, (18 0 81 0 )(99 0 )*} t- D 2 4 4 1 2 D 2 A
{ E , (18)(1 0 8 0 )} t- C 2 ( z ) 2 8 1 4 C 2 ( z ) A
{ E , (11 0 )(88 0 )(99 0 )} ta- C 2 ( y ) 2 814 C 2 ( y ) A
{ E , (18 0 )(81 0 )(99 0 )} ts- C 2 ( x ) 2 814 C 2 ( x ) A
{ E } ft- C 1 1 16 1 8 C 1 A
a Point group symmetry along pathway from transition state to reactant or product, i.e., maximum
common subgroup of transition state and reactant or product
b Symmetry species of the mode of the transition vector (using the conventional setting of the
transition state point group [ 279 ])
Fig. 34 Counterclockwise
rotation of the second
moiety of t Z-P to give t E-P
1
1'
1
1'
^ M
p Z
t
1'
1
1
1'
1
1'
t Z-P
t
t
Z-M
E-P
this self-inverse automerization process cannot be symmetry elements of the
transition state. The point group of the reactant and product, D 2 , and its subgroups
are the only possible candidates for a transition state of the E , Z -isomerization
without inversion of helicity.
The E , Z -isomerization of a twisted conformation without inversion of the
helicity of the central double bond requires a 180 rotation of one moiety about
the central double bond. This is not likely to occur in one step. In fact, the existence
of a stable twisted conformation may be seen as due to a compromise between two
energetically unfavorable conformations: an orthogonally twisted conformation,
which leads to loss of
-overlap across the central double bond, and a planar
(or nearly planar) conformation during passage of the overcrowded regions,
which involves high steric strain. A rotation of one moiety by 180 forces the
molecule to pass through both unfavorable conformations. This implies a double
barrier for a 180 rotation about the double bond (cf. [ 30 ]). Thus, the dynamic
process of E , Z -isomerization without inversion of helicity is more likely to proceed
in two consecutive steps: an inversion of helicity of the twisted conformation,
followed by an E , Z -isomerization with simultaneous inversion of helicity as
discussed in Sects. “Enantiomerization of the Twisted Conformation” and E , Z -
Isomerization with Simultaneous Inversion of Helicity of the Twisted Conforma-
tion” , respectively. This is illustrated by the example of a counterclockwise rotation
of the second moiety of t Z-P to give t E-P shown in Fig. 34 . Note that the net effect of
two consecutive inversions of helicity is retention of helicity.
π
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