Y. Wang et al. / Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 225 (2020) 117524
5
state, the greater does the emission energy lose due to the energy con-
suming of molecular vibrational, and the larger is the Stokes shift. As a
result, the larger Stokes shift of P3 and P4 compared with P1 and P2
may come from the large energy loss in the emission of conjugated
structures. According to the following formula (1), it can be seen that
there is a complex relationship between Stokes shift and μ, solvent.
The electron transition causes the redistribution of the electron cloud,
so the dipole moment of the ground state and excited state of molecules
are generally different, and the influence of solvent polarity molecules
on the ground state and excited state of molecules is different. We
may speculate that the Stokes shifts of P3 and P4 are larger due to the
larger dipole moment change between the ground state and excited
state compared to P1 and P2.
E1/2 values of P2 and P4 are 0.94 V (Eonset = 0.73 V), and 1.00 V (Eonset
= 0.53 V), respectively. It is generally believed that the conjugated
structure will have the narrower Eg because combination of the raised
HOMO level and the decreased LUMO. The half wave potentials and
onset potentials for the polymers are mainly related to the HOMO, not
LUMO. However, the narrower Eg could only come from the LUMO
drops, with HOMO rising slightly at the same time. Meanwhile, ac-
companied with different thickness of polymer films, different effec-
tive areas of the polymer on ITO, along with the tighter aggregation
of P2 and P4 than P1 and P3, the half wave potentials of P1 and P3
are lower than the others. Seen from Fig. 4(a), CV curves of the P2
and P4 exhibit a couple of redox peaks which may be attributed to
the lack or absence of electrochemical splitting resulting in stable
diradicals. On the contrary, the P1 and P3 exhibit two couples of
redox waves which can be explained by that the first oxidative
peaks can be attributed to oxidation of one of the N atom in a TPA nu-
cleus and the second step ones are resulted from a dication structure
formed from radical recombination [32,33]. Meanwhile, the color of
all polymers changes almost from yellowish to dark blue, finally
dark red.
2
2
~
~
Vabs−V F
≈
ðμE−μGÞ Δf þ Const
ð1Þ
4πε0hcr3w
The optical properties of the polymer were mainly studied through
the analysis of UV–vis spectra and PL spectra. The φPLs of the four poly-
mers in NMP solution were calculated by the following formula (2). In
the formula (2) φunk, Iunk, Aunk, ηunk, φstd, Istd, Astd and ηstd are PL quantum
efficiency, PL integral area excited at the excitation wavelength, absor-
bance intensity and corresponding refractive index of solution for the
sample (noted as unk) and reference standard (noted as std), respec-
The EHOMO and the optical band gap (Eg) are obtained by using
E
onset and the λonset, respectively. The detailed data are summarized
in Table 3 which experimental results of the highest occupied molec-
ular orbital (HOMO) and the lowest unoccupied molecular orbital
(LUMO) energy levels of these polymers are in the range from
−4.70 to −5.08 eV, and −1.65 to −2.67 eV respectively. TAA plays
an important role in the electronic structure and regulation of the
polymers. The difference in the position of the nitrogen atoms still
causes a difference in their redox potentials, which in turn leads to
a slight different HOMO and LUMO of the polymers. P1 and P4 have
close reduction potentials, resulting in the similar HOMO and
LUMO while P2 and P3 have large difference HOMO, LUMO due to
the large reduction potentials.
To further comprehend the influence of molecular structure on
the electronic structures and energy levels of the polymers, the
HOMO levels and LUMO levels were calculated by using Gaussian
03W program based on B3LYP/6-31G (d, p) set level, and the data
are shown in Table 3. Seen from Fig. 4(b) the electron density distri-
bution of the HOMO is mainly located on diamine moiety meanwhile
that of the LUMO is mainly located on oxazine ring [34,35]. The the-
oretical data of the HOMO and LUMO levels are in the range from
−4.65 to −4.91 eV, and −0.97 to −1.05 eV, respectively. The se-
quence theoretical data of Eg values among the four polymers is P2
b P4 b P1 b P3 which is little different from the experiment results
order of the P2 b P1 b P4 b P3. P2 has the least Eg contrast to the P3
with the largest Eg. The little deviation between theory calculation
and experiment results from CVs due to the theoretical results are
calculated from the repetition unit not from the long chain and the
impact interaction of molecules and solvent and aggregation of poly-
mers in solvent are not considered together [36]. Also, electrochem-
ical impedance spectroscopy (EIS) technique can be used to
tively. The quinine sulfate in thin sulfuric acid was used as std (φPL
=
54.6%) for measured. From the Table 2 which P2 and P4 have the stron-
ger PL peaks than these of P1 and P3 with the φPL of P1, P2, P3 and P4
being 2.4%, 46%, 2.2% and 14%, respectively. As Fig. 3(b) and
(c) indicating that P2 and P4 emit stronger bright yellow PL and dark
yellow PL, respectively. Meanwhile, P1 and P3 exhibit weak yellow-
blue PL and weak yellow-green PL, respectively. However, the λmax of
P2 and P4 exhibit nearly 20 nm red shift compared with the P1 and
P3. The above results can be explained by the rigid and conjugated
structures of P2 and P4 are more planar and longer than these of P1
and P3 [30,31]. At the same time, it can be seen from Table 1 that the
solid films of P2 and P4 generate obvious red shift relative to the dilute
solution in the absorption spectra, which may be caused by the strong
intermolecular interaction in the solid that makes the biphenyl confor-
mation tend to be planar and increases the conjugated length of the
polymers.
ꢀ
ꢁꢀ
ꢁꢀ
ꢁ
2
Iunk
Istd
Astd
Aunk
ηunk
ηstd
φunk ¼ φstd
ð2Þ
3.4. Electrochemical properties with quantum chemistry calculation
The electrochemical data can be used for calculating energy level
and energy gap. The detailed data of the CV testing are summarized in
the Table 3. The E1/2 values of P1 are 0.69 V (Eonset = 0.52 V) and
1.00 V. E1/2 values of P3 are 0.70 V (Eonset = 0.35 V) and 0.96 V. The
Table 3
Electrochemical properties and quantum calculations of the polymers.
abs
a
peak b
electroc
electroc
d
quantume
quantume
Polymer code
λ
E
E
E
Eg
E
E
LUMO
Eqguantume
onset
onset
HOMO
LUMO
HOMO
Ag/AgCl
P1
P2
P3
P4
501
514
406
492
0.52
0.73
0.35
0.53
−4.87
−5.08
−4.70
−4.88
−2.39
−2.67
−1.65
−2.36
2.48
2.41
3.05
2.52
−4.80
−4.65
−4.91
−4.79
−0.98
−0.97
−0.98
−1.05
3.82
3.68
3.93
3.74
a
λ
onset of polymer film.
Epoenasekt: onset potential of the polymer CV curve was obtained by making a tangent line on cyclic voltammetry.
b
c
The HOMO energy levels are calculated from cyclic voltammetry referenced to oxidation potential of ferrocene (4.8 eV).
d
e
EHOMO ¼ −ðEOX−E
eV þ ð−4:8Þ eV; Efiglm = 1240/λonset; ELUMO (eV) = EHOMO + Egfilm
.
1
FcÞ
Quantum theoretical calculation of these polymers.
2