Benzenelikestabilizanonaromanc

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Unformatted text preview: system
for
butadiene:
 Four
electrons

occupy
energy
level:
α+1.62β

α+0.62β

 Without
the
π
system
we
have
4α
 The
net
stabilizaNon
2.24β
 A
single
π
bond
stabilizaNon
is
β.
We
call
stabilizaNon
by
 delocalizaNon
the
difference
from
mulNple
ethene
(single
π
 bonds).
For
butadiene
we
have
0.24
stabilizaNon
by
 delocalizaNon
 Cyclicbutadiene
 Secular
matrix
for
cyclic
system
 ⎛ α−E β 0 β ⎜ α−E β 0 ⎜β ⎜ 0 β α−E β ⎜ ⎜β 0 β α−E ⎝ ⎞⎛ ⎟⎜ ⎟⎜ ⎟⎜ ⎟⎜ ⎟⎜ ⎠⎝ c1 ⎞ ⎛ 0⎞ ⎟ c2 ⎟ ⎜ 0 ⎟ ⎟ =⎜ 0 ⎟ c3 ⎟ ⎟⎜ ⎜0⎟ ⎠ c4 ⎟ ⎝...
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