392
R. Alphonse et al. / Journal of Molecular Liquids 215 (2016) 387–395
Table 3.
Statistical data of linear plots for different correlation methods of NBTMPA.
Compound
NBTMPA
Method
Slope (m)
Intercept (c)
Correlation Coefficient (R2)
Nb
Bilot–Kawski (1)
Bilot–Kawski (2)
Lippert–Mataga
Bakhshiev
Kawski–Chamma–Viallet
Reichardt
m
m
(1) = 4618.44
3156.13
77331.5
3023.57
3192.42
38503.99
3403.63
0.9698
0.9384
0.9598
0.9790
0.9135
0.9280
13
13
14
11
13
9
(2) = 13,635.42
m1 = 13,240.22
m2 = 4533.2
m3 = 13,149.57
m4 = 7770.343
b
Number of data.
ground state. Thus the excitation spectra are less sensitive to the effect
of solvent polarity as compared to the emission spectra.
volume using Edward's atomic increment method. The Onsager cavity
radius (a) of NBTMPA is calculated by the following expression [37].
ꢄ
ꢅ
1
3.2. Experimental and theoretical calculations of dipole moments
=
3
3M
4πδNA
a ¼
ð25Þ
To study the solvatochromism of NBTMPA, the spectral parameters
are found to be correlated with different solvent polarity methods. By
employing Bilot–Kawski, Lippert–Mataga, Bakhshiev, Kawski–
Chamma–Viallet and Reichardt linear correlations, linear graphs of (υ
A −υF) and (υA +υF) were plotted against f(ε,n) and φ(ε,n) respectively,
the stokes shift and its mean {υA − υF and (υA + υF) / 2} Table (1) of
NBTMPA (Fig. 6) are plotted against polarity functions F1(ε,n), F2(ε,n),
F3(ε,n) and ENT (Table 2).
The slopes, intercepts, correlation coefficients and the data of differ-
ent solvent correlation methods from Fig. 6 are summarized in Table 3.
The higher correlation coefficient values (greater than 0.90) suggest
better linearity for these methods. The ground state and excited state di-
pole moments are calculated from the slopes of the linear graphs of
Bilot–Kawski method using Eqs. (16) and (17). By applying Eqs. (13)
to (15) and (22) of Lippert–Mataga, Bakhshiev, Kawski–Chamma–
Viallet and Reichardt solvatochromic shift methods, the excited dipole
moment can be estimated from the respective slopes. The quantum
yield of NBTMPA was calculated using single point method by compar-
ing the integrated intensity and optical density of the sample to that of a
reference compound, anthracence in ethanol at room temperature. The
quantum yield (Ф) of NBTMPA was determined by the following rela-
tion and is expressed as.
where M is the molecular weight of solute, δ is the density of the
solute and NA is the Avagadro's number.
From Table 4, it is observed that the excited state dipole moments
(μe) of NBTMPA are higher than the ground state dipole moments
(μg). The calculated values for excited state dipole moments using
Bilot–Kawski, Bakhshiev and Reichardt correlation methods are com-
paratively in good agreement. The excited state dipole moment calcu-
lated by Lippert –Mataga and Kawski–Chamma–Viallet method is
slightly higher than the values obtained by the earlier correlation
methods, as these does not consider the effect of solute polarizability.
The difference in dipole moment can be explained on the basis of charge
transfer (CT) and nature of the emitting state. By using Eqs. (16) and
(17) the ground and excited state dipole moments of NBTMPA were cal-
culated by assuming that the dipole moments are almost parallel [38].
So we have estimated the angle between the dipole moments using
Eq. (19) which was found to be 0° implying that they are parallel. The
ground state dipole moment was calculated using theoretical ab initio
calculations by Gaussian 09 W software and Bilot–Kawski correlation
method. From Table 4, μg calculated from both methods are fairly in
good agreement. Using TD–DFT analysis the ground and excited dipole
moments were estimated as μg = 3.7 D and μe = 6.9 D indicating that
the molecule is in a polar excited state. Also, the solvent used was
found to be in a more stabilized state. The calculated values for the di-
IS ODR
IR ODS
η2
η2
S
Φ ¼ Φstd
ꢃ
ꢃ
ꢃ
R
pole moments in the two electronic states are μg = 5.7 D and μe
=
Where Φstd is the quantum yield of reference standard (0.27 from lit-
erature), IS and IR are the integrated fluorescence intensity of sample
and reference standard, ODS and ODR are the optical densities of sample
and standard, and η2S and η2R are the square of refractive indices of sol-
vent respectively. The ratio of square of the refractive indices was found
to be 1. The calculated quantum yield (Ф) of NBTMPA was found to be
0.205 [36]. The spectral properties like fluorescence maxima, quantum
yield are controlled by inter molecular hydrogen bonding. The Onsager
cavity radius of NBTMPA was calculated by means of Vander Waal's
11.5 D suggesting a more polar excited state for the molecule. This
also implies that the interactions between solute and solvent are stron-
ger in the excited state which leads to a change in the distribution of
charge densities. Using Eq. (18) the ratio of dipole moment in the excit-
ed state to the dipole moment in the ground state was found to be 2.02.
PICT has been used to explain the charge separation in NBTMPA. 1, 2,
4-Triazole nucleus does not produce any significant change in the
movement of π electrons. The intramolecular charge transfer state is
Table 4.
Dipole moments in two electronic states (Debye) of NBTMPA.
Compound Onsager radiusa μg
μg
μe
μe
μe
μe
μe
μe
b
c
d
e
f
g
h
i
NBTMPA
4.06
3.7 5.7 6.9 11.5 13.6 9.48 13.55 7.64
a
Onsager radius of NBTMPA using Edward's atomic increment method.
Dipole moment in the ground state calculated by Gaussian software.
Dipole moment in the ground state calculated using Bilot–Kawski method (Eq. (16)).
Dipole moment in the excited state calculated by Gaussian software.
Dipole moment in the excited state calculated using Bilot–Kawski method (Eq. (17)).
Dipole moment calculated using Lippert Mataga method (Eq. (13)).
Dipole moment calculated using Bakhshiev method (Eq. (14)).
b
c
d
e
f
g
h
i
Dipole moment calculated using Kawski–Chamma–Viallet method (Eq. (15)).
Dipole moment calculated using Reichardt method (Eq. (22)).
Fig. 7. Canonical structures of NBTMPA.