
10.4 Other Addition Reactions Involving Three-Membered Rings 433
Sin
let carbene
Products Products
Triplet carbene
C
R
R
R
R
C
FIGURE 10.43 Both spin states of a
carbene may form products.
10.4e Triplet Carbenes One of the reasons carbenes are so interesting is that,
unlike almost all other reactive intermediates we know, they have two reactive
states, and these states are quite close to each other in energy.The reactions consid-
ered in Figure 10.41 were reactions of a carbene species in which two spin-paired
electrons occupied the relatively low-energy hybrid orbital and the higher energy 2p
orbital was empty, as shown in Figure 10.43. In fact, this species, called a singlet
carbene, generally lies a few kilocalories per mole higher in energy than another
form of divalent carbon called a triplet carbene. In the triplet species, one electron
occupies the hybrid orbital and the other has been promoted to the previously
empty 2p orbital. Of course, promotion incurs an energy cost—the approximately
sp
2
hybrid orbital has more s character than the 2p orbital, and thus an electron in
the sp
2
orbital is more stable than an electron in a pure 2p orbital. But there are
energetic compensations. For example, the two nonbonding electrons are farther
apart in the triplet and thus electron–electron repulsion is lowered. With some
exceptions (R halogen, for example), the triplets are somewhat more stable than
the corresponding singlets. For many carbenes the two species are in equilibrium,
and sorting out the chemistry can be complicated because both species can react.
=
PROBLEM 10.15 Singlet CF
2
is much more stable than the corresponding triplet.
Consider the structure of this intermediate and explain why the singlet is espe-
cially favored in this case.
:
Normally, even though the singlet is disfavored at equilibrium, reactions of the
singlet are the ones that are observed.The singlet is usually much more reactive than
the triplet. Even though there is more triplet present at equilibrium, its reactions
cannot compete with those of the small amount of the much more reactive singlet.
This point is important. A species does not have to be present in great quantity for
its chemical reactions to dominate those of a more thermodynamically stable (lower
energy) and relatively unreactive equilibrium partner. The activation barriers sur-
rounding the higher energy partner may be substantially lower than those surround-
ing the lower energy partner. Figure 10.44 shows this situation in an energy diagram.
Energy
Triplet products Singlet products
CR
2
..
Triplet
..
CR
2
Singlet
Reaction progress
FIGURE 10.44 Even though the
triplet carbene is usually lower in
energy and thus favored at
equilibrium, most of the chemistry
comes from the singlet.The triplet is
protected by quite high activation
barriers. As long as some of the
singlet is formed in equilibrium with
the triplet, the singlet accounts for
most or all of the chemistry.