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Δ E /kcal mol -1
10
TSIc
R
R
C
O
TSId
O
C
N(1)
N(2)
5
N(1)
N(2)
TSIa
N(3)
TS
N(3)
1a, 1c, 1d
1c, 1d
R
0
anti -RC(O)N 3
C
N(1)
syn -RC(O)N 3
O
N(3)
N(2)
-5
1a
FIGURE 12.2. Stationary point on the PES for syn - anti transformation of formyl ( 1c ), acetyl
( 1d ), and benzoyl ( 1a ) azides calculated at the PBE/TZ2P level of theory. 45 Source : Reprinted
with permission from Ref. 45. Copyright 2005 Springer Science þ Business Media.
singlet acetyl nitrene ( 1 3d
G # ) for this process was
found to be 32.2 kcal/mol at the CBS-QB3 level (Fig. 12.1). The lower energy
conformer of
). The free energy of activation (
D
1d
has a syn relationship between the carbonyl and the azide groups
( syn -
1d
). Calculations predict that syn -
1d
will decompose by concerted migration of
methyl group along with nitrogen extrusion. The free energy of activation for this
concerted process is only 27.1 kcal/mol (at CBS-QB3 level). Hence, syn -
is the
predominating conformer, and it undergoes transformation much faster than anti - 1d .
Thus, calculations predict that Curtius rearrangement of acetyl azide is a concerted
process.
Independently, 45 Zabalov and Tiger investigated structures of formyl, acetyl, and
benzoyl azides (
1d
, respectively) and explored stationary points on the
PES for the Curtius rearrangement of these azides using density functional theory at
the PBE/TZ2P level. As previously described, 18 they localized for these azides two
stable conformations, syn and anti , with the syn conformations being more stable
than the anti (Fig. 12.2). For
1c
,
1d
, and
1a
1c
and
1d
, the enthalpy of anti-syn isomerization was
predicted to be low (about
0.9 kcal/mol), whereas for benzoyl azide
1a
it is
6.7 kcal/mol. The barriers for the syn - anti isomerization are predicted to be 9.2,
9.4, and 7.0 kcal/mol for
1a
,
1c
, and
1d
, respectively. Note, that values calculated for
1d
at the PBE/TZ2P level are noticeably lower than those predicted at high level of
theory (CBS-QB3). 18
Zabalov and Tiger 45 also localized stationary points on the PES for the thermal
decomposition of carbonyl azides
. There are, however, no information
on the free energies of activation for the processes under study; only relative
1a
,
1c
, and
1d
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