Shan-Lin Pan, Hao-Li Zhang et al.
tion energies (E2) that are associated with delocalization
reasonable to expect that OPV-Cl would show a somewhat
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from the C X bond to the C C anti bond, are calculated to
be 3.2, 4.6, and 5.7 Kcalmolꢀ1 for OPV-F, OPV-Cl, and
OPV-Br, respectively. Such an increase in E2 can be attrib-
uted to four reasons: First, the orbital size increases, owing
to the increase in the size of the halogen atoms. Second, as
shown from the above configuration calculations, the p-orbi-
tal component increases with increasing halogen-atom size.
Third, a small part of the d orbitals participates in the bond-
lower QY than OPV-H. NBO analysis of the C Cl bond
(Figure 2) suggests that the d orbital of the Cl atom can
extend to the antibonding orbital of the C atom and in-
crease the molecular conjugation. Therefore, the high QY of
OPV-Cl suggests that the extension of the Cl d orbital has
a stronger positive impact on the fluorescence properties
than the negative influence factors, such as HAE, thereby
resulting in an overall high QY of OPV-Cl.
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ing for C Cl and C Br and the d orbital can extend to the
Time-resolved photoluminescence (TRPL) measurements
were performed for the four molecules. The fluorescence
lifetime of OPV-H is 1.74 ns, close to reported vales for sim-
ilar molecules.[16] The lifetimes of OPV-F, OPV-Cl, and
OPV-Br are 1.78, 1.70, and 1.31 ns, respectively. The lifetime
provides information regarding the de-excitation process.
From the lifetime measurements and the QYs, the rate con-
stants for the radiative (kr) and non-radiative processes (knr)
were calculated (Table 1). The kr for OPV-H, OPV-F, OPV-
Cl, and OPV-Br are 0.53, 0.43, 0.56, and 0.46 nsꢀ1, respec-
tively.
For a molecule in dilute solution, the de-excitation pro-
cess can be described by the molecule exciton model. We
performed natural transition orbital (NTO) analysis to
obtain the “real” picture of the excited states, in which the
excited “particle” and the empty “hole” can be described
and analyzed.[17] The calculated NTOs of the brightest excit-
ed states are shown in the Supporting Information, Fig-
ure S2. The NTOs of these molecules are different from the
MOs as obtained from the TD-DFT calculations. The dis-
tinct difference between the NTOs and the MOs is at the
halogen atoms. In the MOs, there is more electron density
around the halogen atom in the HOMO than the LUMO,
owing to the electron-withdrawing nature of the halogen
atoms. However, the NTOs show less difference between
the “hole” and the “electron” around the halogen atoms.
Overlapping of the orbitals of the ground and excited states
is known to be a key factor in the probability of electronic
transition. The NTO results suggest that the lone-pair elec-
trons of the halogen atoms participate in the excited states.
The halogen atoms are increasingly involved in the exited
state in the order OPV-F<OPV-Cl<OPV-Br.
The excited-state-to-ground-state transition dipole
moment (me*g) was also obtained by NTO analysis. The rela-
tionship between the transition dipole moment and the radi-
ative-decay rate is non-trivial, based on the Strickler–Berg
equation.[18] However, considering the similar spectroscopic
properties in these four molecules, the enhanced transition
dipole moment for the emissive state should lead to faster
radiative-decay rates.[19] That is, a larger transition moment
generally results in a higher kr.[20] The transition moments as
calculated for OPV-H, OPV-F, and OPV-Cl are 4.94, 4.92,
and 5.32, respectively, which correspond to their experimen-
tal radiative rates. Also, the knr for OPV-F is larger than
those of OPV-H and OPV-Cl, which can be attributed to
the non-planar conformation and high electronegativity of
the F atom. However, OPV-Br exhibits the largest calculat-
ed transition dipole moment among the four compounds,
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orbitals of the C C anti bond (Figure 2c). Fourth, the elec-
tronegativity decreases from F to Br and, hence, the elec-
tron-withdrawing effect decreases.
In the OPV chromophore, the double bonds are more sus-
ceptible to the influence of the substituents than the bene-
zene rings. Therefore, we studied the effects of halogenation
on the deviation angles of the double bonds. In the results
of the angular properties of the natural hybrid orbitals, the
deviation angle represents the angle between the bonding
orbital and the line of the bonded nuclei.[14] The ideal devia-
tion angle for a C=C double bond is 908, which means that
the two p orbitals are perpendicular to the line between two
carbon atoms. Deviation of the orientation of the p orbital
from the ideal angle causes a decrease in its strength. The p-
orbital-deviation angles for the double bonds in OPV-H, F,
Cl, and Br are 90, 88.3, 89.5, and 89.98, respectively. Fluori-
nation gives the largest change in the deviation angle, whilst
OPV-Br had an almost-ideal 908 deviation angle.
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Briefly, the NBO analysis reveals that the C X bond
affect the molecular conjugation in two ways: 1) The elec-
tron cloud from the halogen atoms extends to the aromatic
rings; 2) the p-orbital-deviation angles of the C=C double
bonds are influenced by the halogen atoms. These effects
have rarely been discussed in previous investigations.
Halogenation has a significant impact on the fluorescence
properties of the OPVs. The fluorescence QY of the OPV-H
backbone in solution is very high (95%). However, OPV-F
shows a much lower QY (77%). The decrease in QY upon
halogenation is generally attributed to the high electronega-
tivity of the halogen atoms.[5] However, this NBO analysis
suggests that the lowest p-orbital-deviation angle of the C=
C double bond in OPV-F could be a major reason for the
decrease in QY.
The QY of OPV-Br is about 60%, even lower than that
of OPV-F. NBO analysis suggests that OPV-Br has an ideal
p-orbital-deviation angle of the C=C double bond, that is,
good conjugation. Moreover, the d orbital of the Br atom
extends over the molecule, which should be beneficial for
the fluorescence properties. However, the strong HAE from
the Br atoms overwhelms the above two positive factors and
affords a significant decrease in the QY.
In contrast to OPV-F and OPV-Br, OPV-Cl shows an un-
expectedly high QY of 95%, thus indicating that chlorina-
tion does not decrease the fluorescence properties of the
OPV-H backbone in this case. Given that the deviation
angles as calculated from the NBO analysis is slightly lower
than the ideal value and the HAE from the Cl atom, it is
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