184
localized orbital over the whole molecule) whereas the first
electronictransitioninbenzoylazideisa → * transitionstart-
ing from a molecular orbital mainly localized over the benzene
ring to a molecular orbital de[localized over the whole molecule.
A similar analysis of the wave functions of the other excite
4.2.3. p-Methoxybenzoyl azide
The optimized geometry is calculated, results are given in
Tables 3 and 4. As is the case with the previous compounds,
essential single bond exists between C1 and C6 (bond order is
1.096) which indicate a weak conjugation between the aryl
part and the rest of the molecule, a true double bond exists in
the C O group, (bond order is 1.965), pronounced single bond
characters exist between C(1) and N(2) and between N(2) and
N(3), bond orders are 1.097 and 1.117 respectively whereas
the N(3) N(4) bond has a pronounced triple bond characte◦r
states, ψEX II
−
is given in Table 7. It is observed that
EX IV
the calculated four electronic transitions are → * transitions.
These results agree with the spectral observations, Fig. 1.
4.2.2. p-Methylbenzoyl azide
ˆ
(bond order is 2.385). Again, the bond angle θ(NNN) is 175.35
The optimized geometry of the molecule was calculated
using ab initio RHF and DFT procedures. Results are given in
Tables 3 and 4. As in the case with benzoyl azide, the C1 C6
bond order is 1.036 indicating an essential single bond and
the absence of conjugation between the benzene ring and
the CON3 group. The C O bond order is 1.965 indicating a
true double bond character. The triple bond character between
N3 N4 is apparent, bond order is 2.388. The bent structure ◦of
indicating a slight deviation from linearity in the azide group.
Excited states were calculated, the type and composition
of the three highest occupied molecular orbitals, 31–
(1–3), and the three lowest-vacant molecular orbitals 34–
33
36
(π1∗, σ∗, π2∗) are given in Table 6. Excitation is considered to
occur by a one electron transfer between of the three high-
est occupied and any of the three lowest unoccupied molecular
orbitals. The CI matrix is solved and the wave functions as well
as the energies of the first four excited states are given in Table 9.
It is to be noted that none of the calculated and observed transi-
ˆ
the N3 group is clear as the bond angle θ(N2N3N4) is 175.27 .
weight percent of the coefficients of the highest three occu-
pied molecular orbitals 28–30, designated as 1-3, and
the lowest three vacant molecular orbitals 31-33, designated
π1∗, σ∗ and π2∗ are given in Table 6.
Excitationwasconsideredforaone-electrontransferbetween
the highest three occupied and the lowest three unoccupied
molecular orbitals. The CI –matrix was solved, the state func-
tions and the corresponding energies are given in Table 8. The
correspondence between the calculated and experimental tran-
sition energies is satisfactory.
Analysis of the wave functions of the excited states indicates
clearly that none of the electronic trasitions of p-methylbenzoyl
azide is localized over any of the chromophores (aryl, aroyl
or azide) of the molecule as is the case in the spectra of
aryl azides. The wave function of the first excited state of p-
methylbenzoyl azide con−si1sts of a li−n1ear combination of the
configurations: ϕ3−01ϕ31, ϕ28 ϕ31 and ϕ28 ϕ33 which corresponds
to a –* delocalized transition observed experimentally at
4.34 eV and calculated at 4.41 eV (Fig. 8).
*
tions is an n → transition. The correspondence between the
calculated and experimental transition energies is satisfactorily.
Analysis of the form of the wave functions of the excited
states is significant. The wave function of the first excited
state consists of a linear combinatio−n1of the following excited
configurations. The configuration ϕ33 ϕ34 which represent an
electron transfer from molecular orbital 33, which is extending
over the CH3OC6H4–chromophore, to the molecular orbital
34
which delocalized over the−w1hole molecule p-methoxybenzoyl
azide. The configuration ϕ33 ϕ36 represents an electron transi-
tion between molecular oritals localized over the CH3OC6H4
chromophore. The configuration ϕ32
−1
ϕ
represents an elec-
34
tron transition from a molecular orbital extending over the
CH3OC6H4 part of the molecule to a molecular orbital de-
localized over the whole molecule p-methoxybenzoyl azide.
In a similar way one analyzes the wave functions of the
other excited states. This analysis indicates that all the observed
transitions in the electronic absorption spectrum of para-
*
methoxybenzoyl azide are de-localized – transitions. This
conclusion agrees with the experimental observations: weak
effect of solvent polarity on band maximum (absence of con-
tribution of charge transfer configurations to the excited states),
high intensity of the observed transition (absence of n–* tran-
sition).
4.2.4. p-Chlorobenzoyl azide
The ab-initio results of the optimized geometry of the
ground state are given in Tables 3 and 4. Excited states were
calculated by AM1 procedure. The CI matrix of the elec-
tronic configurations which result from one electron transition
between any of the three highest occupied molecular orbitals,
28(1)–30(3), to any of the three lowest vacant molecular
orbitals ϕ31(π∗) − ϕ33(π∗), is a molecular orbital, is
*
32
1
2
solved. The wave functions of the excited states are given in
Table 10. The results indicate that none of the observed tran-
sitions in the electronic spectrum of p-chlorobenzoyl azide is a
Fig. 8. Electronic absorption spectra of p-nitrobenzoyl azide in heptane and its
Gaussian analysis.