
21.3 Neighboring Systems 1103
A molecular orbital approach shows how the two electrons can be stabilized
through a symmetrical interaction with an empty carbon 2p orbital. The intellectual
antecedents for this kind of bonding relate to the cyclic H
3
+
molecule in which two
electrons are stabilized in a bonding molecular orbital through a cyclic overlap of hydro-
gen 1s orbitals. We can construct this system by allowing a 1s orbital to interact with
σ and σ* of H
2
as in Figure 21.36 (recall our discussion of the allyl and cyclopropenyl
π systems in Chapter 12).The result is a system of three molecular orbitals: one bond-
ing,two antibonding.Two,but only two, electrons can be accommodated in the bond-
ing orbital. The same orbital pattern will emerge for any triangular array of orbitals.
+
H
HH
H
+
HH
No interaction with 1s
1s
σ, σ*
σ*
σ
σ
+ 1s = 1 σ – 1s = 2
= 3
Nodes
Energy
Nonbonding
Same number
of nodes
1
23
Orbital pattern for a triangular array of H
3
+
+
–
1s
FIGURE 21.36 The construction of
the molecular orbitals of cyclic H
3
+
.
Cyclopropenium ion
+
+
H
H
H
H
=
H
H
PROBLEM 21.19 Work out the π molecular orbitals for the cyclopropenium ion
shown below.
Chemists resisting this notion (the “classicists”) suggested that there was no need for
this new kind of delocalized bonding, and that normal, localized two-electron models
would do as well.Let’s follow their argument.Remember as we go that they must explain
both a rate acceleration for the anti tosylate and the overall retention of stereochemistry.
The two compounds in question here, the syn and anti tosylates, are different, and
there must be some rate difference between them.One can scarcely argue with this point,
and one is reduced to relying on the magnitude and direction of the rate acceleration as
evidence for the delocalized ion. A classicist might argue that in cases such as this, the
rate increase could easily come from the formation
of a normal, localized or “classical,” carbocationic
intermediate. The anti tosylate has the leaving
group in an excellent orientation to be attacked by
the intramolecular nucleophile, the filled π orbital
of the carbon–carbon double bond (Fig. 21.37).
The syn tosylate does not.
S
N
2
no frontside
S
N
2 possible
+
H OTs TsO H
H
synanti
FIGURE 21.37 A “classical”
displacement reaction by the π bond
of the anti isomer would give a
localized ion that could not be
formed from the syn isomer.