Muthukrishnan et al.
Interestingly, azide 1b yields similar quantity of products 4, 5,
and 6 as azide 1a, even though they can be attributed to benzoyl
radical formation. Thus, we theorized whether nitrenes 2 can
fall apart to yield benzoyl radical 3 either thermally or
photochemically.
C. Molecular Modeling. All structures were optimized using
Gaussian0312 at the B3LYP level of theory and with the
6-31+G(d) basis set,13 unless otherwise noted. We optimized
the ground-state (S0) configuration of azides 1, triplet nitrenes
2, benzoyl radicals 3, azidomethyl radical, and methylene iminyl
radical. We calculated the IR spectra of these optimized
structures from vibrational frequency analyses at the same level
of theory. The optimized geometries of azides 1a and 1b are
very similar; both molecules are relatively flat with the exception
of the azido moiety being twisted out of the plane of the phenyl
ring, as revealed by the torsion angle between C7-C8-N1-
N2 being 62° for both 1a and 1b (Figure 2 and 3). Furthermore,
the X-ray structure of azide 1b is similar to its optimized
structure (see Supporting Information and Figure 4). In the X-ray
structure, both the carbonyl group and Me-S substituents are
rotated slightly out of the plane of the phenyl ring, presumably
to accommodate for the crystal packing arrangement of the
molecule. The twisting of 1b in the crystal lattice can be seen
by the torsion angle between C6-C1-C7-O1 and C9-S1-
C4-C5, which are 11.8° and -16.3°, respectively.
We used time-dependent density functional theory (TD-
DFT)14 to estimate the vertical excitation energies of T1K and
T2K for azides 1a and 1b (Table 1) using the geometry for the
S0 state. In azide 1a, T1K is located 75 kcal/mol above the ground
state. Visualization of the molecular orbitals for the major
components of the electronic excitation revealed that this T1K
state is dominated by a (n,π*) configuration as expected, and it
is about 1 kcal/mol more stable than T2K, which has a (π,π*)
configuration. Solvation15 does not significantly change the
relative energies of T1K and T2K in azide 1a (Table 1). The
calculated energy difference between T1K and T2K in azide 1a
fits well with what has been estimated for valerophenone and
FIGURE 2. Optimized S0, T1A, and T1K geometries of azide 1a at the
RB3LYP (S0) and UB3LYP (T1A and T1K) levels of theory. Bond
lengths are in Ångstroms.
butyrophenone derivatives.16,17 TD-DFT calculations estimated
the vertical excitation energy of T1K of azide 1b to be 66
kcal/mol above the ground state and have a (π,π*) configuration;
furthermore, T2K is 10 kcal/mol higher in energy than T1K. This
is similar to the estimated energy difference between T1K (π,π*)
and T2K (n,π*) in the analogous thiomethyl valerophenone.8
We optimized the triplet excited states of the azide moiety,
T1A, in azides 1 at the unrestricted B3LYP/6-31+G(d) level and
found that T1A was located 45 kcal/mol above the ground state.
The N1-N2-N3 bond in T1A has a bond angle of ∼120.7°, and
the N1-N2 bond length is 1.43 Å (Figure 2 and 3), whereas in
the ground state of azides 1a,b, the N1-N2 bond length is 1.23
Å. As a reflection of the increased length of the N1-N2 bond,
the calculated IR spectrum of T1A does not have an azide
stretching vibration at ∼2100 cm-1, as seen for azides 1a,b,
(12) Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb,
M. A.; Cheeseman, J. R.; Montgomery, J. A., Jr.; Vreven, T. Kudin, K. N.;
Burant, J. C.; Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone, V.;
Mennucci, B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G. A.;
Nakatsuji, H.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa, J.;
Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene, M.; Li,
X.; Knox, J. E.; Hratchian, H. P.; Cross, J. B.; Adamo, C.; Jaramillo, J.;
Gomperts, R.; Stratmann, R. E.; Yazyev, O.; Austin, A. J.; Cammi, R.;
Pomelli, C.; Ochterski, J. W.; Ayala, P. Y.; Morokuma, K.; Voth, G. A.;
Salvador, P.; Dannenberg, J. J.; Zakrzewski, V. G.; Dapprich, S.; Daniels,
A. D.; Strain, M. C.; Farkas, O.; Malick, D. K.; Rabuck, A. D.;
Raghavachari, K.; Foresman, J. B.; Ortiz, J. V.; Cui, Q.; Baboul, A. G.;
Clifford, S.; Cioslowski, J.; Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz,
P.; Komaromi, I.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.;
Peng, C. Y.; Nanayakkara, A.; Challacombe, M.; Gill, P. M. W.; Johnson,
B.; Chen, W.; Wong, M. W.; Gonzalez, C.; Pople, J. A. Gaussian 03,
Revision A.1; Gaussian, Inc.: Pittsburgh, PA, 2003.
but rather the N-N stretch is calculated to be ∼1720 cm-1
.
T1A can be assigned to the (n,π*) configuration of the triplet
azides based on visualization of the molecular orbitals (see
Supporting Information).
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