Mendeleev Commun., 2002, 12(6), 227–229
YT
(a)
(b)
R
Y
X
YD
YS
r
r
2000
4000
6000
8000
Magnetic field/G
Figure 2 EPR spectrum from the photolysis of azide 1a (u0 = 9.520 GHz,
H0 at 3400 G) with light at l = 254 nm for 10 min in MTHF at 7 K. The
peaks X, Y and R correspond to X- and Y-transitions of triplet nitrene 2a
and a radical from MTHF, respectively.
in the size of YT and to an increase in the potential energy. At
very small r, YT approaches the point with YT = 0, beyond
which the wavefunction of closed-shell singlet nitrenes YS starts
to develop (r becomes the distance between two electrons in the
same orbital). On the other side of YT, there is another point
with YT = 0 and another wavefunction. This new wavefunction
YD describes diradicals with two unpaired electrons on two dif-
ferent radical centres (r becomes very large). Since the discovery
Figure 3 (a) Wavefunctions and (b) potential energy curves for closed-
shell singlet (YS), triplet (YT) and open-shell singlet (YD) arylnitrenes.
Y
X
1
of such diradicals in 1992, they were called as open-shell A2
singlet nitrenes despite the fact that the nitrogen atom in these
species is divalent (Figure 1).‡ The strongly pronounced singlet-
type reactivity of triplet 2a–c and very high spin populations on
their nitrene centres (small r)2 suggest that the YT of these
species are close to the YS of closed-shell 1A1 singlet nitrenes.
According to the Hund rule, two spins occupy two orbitals and
have parallel orientation only if such orbitals are degenerate.
Deviations to any side from the optimum r between two spins
should lift this orbital degeneracy. Namely, this finally leads to
a situation when two spins either prefer to occupy the same
low-lying orbital (the 1A1 states) or adopt the opposite spin
E
3A2
2a–c
1A1
3
1
Figure 4 Orbitals and energy levels in the A2 and A1 states and triplet
nitrenes 2a–c.
electrons can interact with each other only if their wavefunc-
tions are not orthogonal. Thus, both a theory and EPR spectra
suggest that typical triplet nitrenes have two nearly degenerate
sp3-hybrid magnetic orbitals and small values of E owing to
S2x » S2y in the third term of the triplet state spin Hamiltonian.11
^
1
orientation (the A2 states). High values of E for triplet 2a–c
reflect changes in the spatial orientation of magnetic orbitals,
which take place on the way from 3A2 to 1A1 nitrenes. Another
example of this series is highly symmetrical triplet 2-nitreno-
pyrimidine (|D/hc| = 1.217 cm–1, |E/hc| = 0.005 cm–1).8 These
changes in the spatial orientation of magnetic orbitals of triplet
nitrenes can be associated only with different hybridization of
H = gbHS + DS2z + E(S2x – S2y).
(1)
On approaching YT of the 3A2 states to YS of the 1A1 states,
one magnetic orbital gains more s component, while another one,
more p component. As a result, two orbitals adopt different
spatial orientations (Figure 4) and different energies despite the
high symmetry of molecules. The EPR spectra of triplet 2a–c
are the best illustration of such changes.
3
1
nitrene nitrogen atoms in the A2 and A1 states. As is known,
five valent electrons of nitrogen with zero valence are described
by two wavefunctions, Y(2s) and Y(2p). Since the nitrene nitro-
gen atom is univalent, its six valent electrons are described by
YS and YT, which are not pure s or p. However, in any case, YS
and YT should have maximum s and p components, respecti-
vely. YS has a maximum s component (33.3%) in two cases. In
one case, two electron pairs occupy two sp-orbitals, and one
pair of electrons occupies one of two degenerate p-orbitals (the
Wasserman model).2 However, the Hund rule says that two
electrons cannot occupy only one of two degenerate orbitals.
According to this rule, the Wasserman model for the singlet
nitrene centre is wrong. In the other case, all three electron
pairs occupy three sp2-hybrid orbitals leaving the high-energy
p-orbital as vacant in full accord with the Hund rule. Only this
type of orbital occupancy in singlet nitrenes meets all require-
ments of quantum chemistry. Similar considerations show that
YT has a maximum p component (75%) when six valent elec-
trons occupy four sp3-orbitals. The fact that the magnetic orbitals
of triplet nitrenes are hybrid was experimentally proved by
observations of the hyperfine splitting on the nitrene nitrogen
atoms (aN = 17–20 G)4,6 in the EPR spectra of triplet nitrenes.
Moreover, this orbital occupancy does not contradict to the basic
principle of wave mechanics,10 according to which two unpaired
I am grateful to Professor M. S. Platz for provided laboratory
facilities and helpful discussions.
References
2 E. Wasserman, Prog. Phys. Org. Chem., 1971, 8, 319.
3 (a) S.-J. Kim, T. P. Hamilton and H. F. Schaefer III, J. Am. Chem. Soc.,
1992, 114, 5349; (b) D. A. Hrovat, E. E. Waali and W. T. Borden, J. Am.
4 T. Nakai, K. Sato, D. Shiomi, T. Takui, K. Itoh, M. Kozaki and K. Okuda,
Mol. Cryst. Liq. Cryst., 1999, 334, 157.
5 S. Murata and H. Iwamura, J. Am. Chem. Soc., 1991, 113, 5547.
6 J. H. Hall, J. M. Fargher and M. R. Gisler, J. Am. Chem. Soc., 1978, 100,
2029.
8 M. Kuzaj, H. Luerssen and C. Wentrup, Angew. Chem., Int. Ed. Engl.,
1986, 25, 480.
‡
By definition, nitrenes are compounds of univalent nitrogen with six
valent electrons.13 Because the open-shell 1A2 singlet states have divalent
nitrogen with seven valent electrons, these species represent a class of
divalent nitrogen compounds. Such compounds can also have singlet and
triplet spin states,14 which, similarly to singlet and triplet nitrenes, are
described by two different wavefunctions.
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