T. Itoh / Journal of Photochemistry and Photobiology A: Chemistry 324 (2016) 40–46
45
In Fig. 1b, we show the absorption and corrected emission
spectra of PET in different solvents as well as those in the vapor
phase. The spectra of PET show a significant blue shift as compared
with that of PBT due to the shorter conjugation length. There is a
sufficient overlapping between the absorption and emission
spectra, forming a sort of mirror image relationship between
the two spectra. Further, the spectra clearly show that as the
solvent polarizability increases the emission bands shift to the red
in exactly the same way as does the absorption spectrum. These
observations indicate that the emission of PET is the fluorescence
originating from the absorbing state.
the 0–1 and 0–2 for each of the polyene C-C and C
¼
C stretching
modes and the combination bands of the two modes. In the case of
emission spectra, the S absorption spectrum reflected so that the
origin matched the origin of the S fluorescence and multiplied by
2
2
a fitted value was subtracted from the measured emission
spectrum [10]. The difference spectrum thus obtained was then
fit by six Gaussians to obtain the band position and intensity of the
Gaussians corresponding to the S
six Gaussians correspond to the S
0–2 for each of the C ꢁꢁ C and C C stretching modes in the ground
state, and the combination band of the two modes. The frequencies
1
fluorescence alone, where the
1
fluorescence origin, the 0–1 and
¼
of the vibrational modes appeared in the S
1
fluorescence were
ꢁ1
ꢁ1
3.2. Temperature and solvent polarizability dependence of the spectra
obtained from DFT outputs (1210 cm for the C ꢁꢁ C and 1610 cm
for C
fluorescence spectra of PBT are shown in Fig. 5. In order to confirm
the presence and shape of the S fluorescence, only the S
of PBT
¼C stretch modes). Examples of the measured and fitted
Fig. 2 shows absorption and corrected fluorescence spectra of
2
2
PBT in perfluorohexane at different temperatures. As the
temperature is raised, the relative intensity and energy of the
weak emission increases and the absorption spectra also show a
corresponding blue shift. Fig. 3 shows absorption and corrected
fluorescence spectra of PBT in perfluorohexane–hexane mixtures
with different ratios at fixed temperature. It is seen that the
absorption spectrum shifts to the red with increasing the solvent
polarizability, as was observed for a number of other polyenes. The
spectra show also that as the solvent polarizability increases the
fluorescence was extracted by subtracting the fluorescence
spectrum measured at lower temperature from that measured
at higher temperature. The obtained difference spectrum was
found to resemble the reflected S
Gaussian fitting procedures. In Fig. 6, fitted S
fluorescence origins are plotted as a function of solvent polariz-
2
absorption spectrum used in the
2
absorption and S
1
2
2
ability
refractive index of the solvent. It is seen that the energy of S
absorption origin decreases almost linearly with increasing
although that of S
changing for PBT. In the case of PET, however, the fluorescence
bands shift to the red in exactly the same way as does the
absorption spectrum with increasing for all the solvents used.
Since the S absorption energy decreases almost linearly with
a
, which is defined by (n ꢁ1)/(n + 2) with n denoting the
2
a
,
weak emission band (S
almost the same way as does the absorption spectrum. Further, the
relative intensity of the S fluorescence increases as the energy
difference between the highest energy band of the S fluorescence
and the lowest energy band of the S absorption decreases.
2
fluorescence) shifts to lower energy in
1
fluorescence origin is almost invariant with
a
2
1
a
2
2
a
Schematic energy-state diagrams showing the relaxation process-
es of PBT in different solvents are shown in Fig. 4.
which is approximately proportional to the reciprocal of the
density, and since the density decreases nearly linearly with
increasing temperature, we expect that the excitation energy of the
In order to quantitatively determine band positions and relative
intensities for the S
1
and S
2
fluorescence and S
2
absorption spectra
S
2
state will increase approximately linearly with increasing
of PBT, all the spectral data were fitted by sum of Gaussians using
temperature. Thus, we obtain,
2
2
least square fit, I(
n
,
) = exp[ꢁ(
n
ꢁ
0
n ) /s ], where I(n) is the intensity
D
E ffi + sT
D
E
0
(1)
at wavenumber
n
n
0
is the Gaussian center and
s
is the width.
ꢁ
When six Gaussians were fit to the first 4000 cm ' of the
absorption spectra, the measured and calculated spectra were
almost indistinguishable to each other. In the case of absorption
where E is the expected S –S energy difference at 0 K and s is a
D
0
1
2
ꢁ1
constant. We obtained the s value of 3.3 cm /K.
Temperature dependence of the fluorescence spectrum of PBT
in perfluorohexane indicates that the S1 and S2 states are in
2
spectra, the six Gaussians correspond to the S absorption origin,
thermodynamic equilibrium. Therefore, the S
2 1
/S fluorescence
quantum yield ratio ( ) is given approximately by
2 1
F /F
F
2
/
F
1
ffi k /k  exp(ꢁ T)
2
1
D
E/k
B
(2)
and S
2
Table 1
ꢁ
1 a
Locations (in cm
tadiene), DPB (diphenylbutadiene), MPB (methylphebylbutadiene) and MPH
methylphenylhexatriene) estimated from the fluorescence, absorption and/or
excitation spectra in different environments.
) of the low-lying excited states of PBT, PET, DTB (dithienylbu-
where k and k are the radiative rate constants for the S
1
2
1
states, E is the energy difference between these two excited
states, k is the Boltzmann constant and T is the absolute
temperature. Basically, Eq. (2) can explain all the spectral change
shown in Figs. 2 and 3. That is, the S fluorescence in this case
occurs through the Boltzmann distribution of the S state. The ratio
/k in Eq. (2) is related to the ratio of the oscillator strength for
the S transition, f , to that for the S ! S transitions, f by k
! S
/f [14]. If we assume that all of the radiative strength for the
fluorescence originates from coupling between the S
D
(
B
Molecules
PBT
Excited states
Vapor
In perfluorohexane
In hexane
2
S
S
2
(Allowed)
(Forbidden)
29000
27000
28500
27000
27500
–
1
1
k
2
1
2
/
PET
S
2
(Allowed)
30500
28500
29700
28800
2
0
2
1
0
1
k
1
ffi f
2 1
DTB
S
S
2
(Allowed)
(Forbidden)
27500
25300
26500
25200
S
1
1
and S
2
b
1
25471
states, the oscillator strengths should obey a formula (3) [3],
DPB
S
S
S
2
1
1
(Allowed)
(Forbidden)
(Allowed)
30700
29653
33200
29600
28500
–
 V122/
E2
f
1
= f
2
D
(3)
b
c
ꢂ29300
MPB
MPH
32400
32000
where V12 is the matrix element connecting the two excited states.
Combination of Eqs. (2) and (3) provides
S
S
2
(Allowed)
(Forbidden)
32500
28500
31000
28300
30000
28200
1
ln (
F
2
/
F
1
) ꢁ 2ln
It follows from Eqs. (1) and (4) that,
) ꢁ 2ln E = ꢁ /k T ꢁs/k ꢁ 2ln V12
D
E = ꢁ
D
E/k
T ꢁ 2ln V12
(4)
(5)
B
In perfluorohexane and hexane locations at room temperature are shown.
a
b
c
ꢁ1
Accuracy of about Æ200 cm except for the values obtained in a jet.
In a jet taken from Ref. [15–17].
ln (
F
2
/
F
1
D
D
E
0
B
B
1
Estimated from the extrapolation of the S
1
(2 Ag) state energies versus solvent
polarizability obtained from Ref. [18].