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b
c
a
f
d
e
ψ 1
ψ 2
ψ 3
ψ 4
ψ 5
-1/2
+1
+1
+1
+
-1/2
+
+
-
+
+1
+
ψ 1 +
ψ 1
ψ 1 +
ψ 2
i3
i=3
i1
i=1
-
/
2
-1/2
+1
+1
-
1
/
+
1
+1
0
+1
+1
+1
+1
0
+1
0
-
1
/
-
+
+
-
/
2
+
ψ 3 +
ψ 3
ψ 3 +
ψ 4
ψ 1 +
ψ 3
i=3
i=1
i=2
i=3
i=1
i=2
Figure 9.9 VB canonical structures and Pauling superposition patterns for benzene
. Resonance between the two Kekule structures
Y ¼ c 1 c 1 þc 2 c 2
ð 9
:
111 Þ
3
2
x
4 þ
3
2
x þ
¼ 0
ð 9
:
112 Þ
x
4 þ
3
2 x þ
3
2
12
5
5x 2
12x ¼ x ð 5x 12 Þ¼ 0 ) x ¼ 0
; x ¼
ð 9
:
113 Þ
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