D. Matiadis, K.E. Nowak, E. Alexandratou et al.
Journal of Molecular Liquids 331 (2021) 115737
ETðFÞ ¼ ETðFÞ,0 þ sπ⁎ þ aα þ bβ
ð2Þ
12.30 (1H, s, -COOH); 13C NMR (DMSO‑d6) δ: 41.9 (C4), 62.1 (C5), 112.0
(C7, C11), 120.1 (C9), 120.7 (C15), 125.6 (Ph), 126.9 (Ph), 127.6 (C18,
C22), 128.4 (Ph), 128.8 (Ph), 129.1 (Ph), 130.8 (C8, C10), 134.8 (C16),
136.2 (C17), 141.7 (C27), 146.4 (C6), 151.2 (C3), 167.2 (-COOH).
Through Eqs. 3–4 it is possible to determine the relative contribution
(rsi) of each of the involved parameters. The procedure has thoroughly
been described in previous works [54,55].
2.1.2.
(Ε)-1-(4-Carboxyphenyl)-5-(3,4-dimethoxyphenyl)-3-(3,4-
σi0
dimethoxystyryl)-2-pyrazoline (2)
rSi
¼
ð3Þ
ð4Þ
n
∑ σ0i
Yellow solid (199 mg, 82%); mp = 107–109 °C; Rf = 0.36 (n-hexane/
AcOEt = 3:7); FTIR (KBr, cm−1): 2972, 1673, 1596, 1512, 1417, 1331,
1259, 1169, 1136, 1090, 1023, 951, 841, 768; 1H NMR (DMSO‑d6) δ:
3.02 (1H, dd, JMX = 4.6 Hz, JAM = 17.1 Hz, CHAHM), 3.69 (3H, s, MeO),
3.71 (3H, s, MeO), 3.74 (1H, dd, JAX = 11.8 Hz, JAM = 17.1 Hz,
i¼1
and
vffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
u
u
u
u
u
u
t
ꢀ
À
ꢁ
m
2
CHAHM), 3.77 (3H, s, MeO), 3.81 (3H, s, MeO), 5.49 (1H, dd, JMX
=
∑
Sij−Si
j¼1
0
4.6 Hz, JAX = 11.8 Hz, CHX), 6.66 (1H, d, J = 7.8 Hz, H28), 6.79 (1H, d,
J = 16.2 Hz, H16), 6.88 (1H, s, H32), 6.88 (1H, d, J = 7.8, H29), 6.94
(1H, d, J = 8.4 Hz, H21), 6.96 (2H, d, J = 8.6 Hz, H7, H11), 7.07 (1H, d,
J = 8.4 Hz, H22), 7.19 (1H, d, J = 16.2 Hz, H15), 7.25 (1H, s, H18), 7.72
(2H, d, J = 8.6 Hz, H8, H10), 12.23 (1H, s, -COOH); 13C NMR
(DMSO‑d6) δ: 42.0 (C4), 55.5 (CH3O-), 61.8 (C5), 109.2 (C18), 109.5
(C32), 111.7 (C29), 111.9 (C7, C11), 112.2 (C21), 117.3 (C28), 118.8
(C15), 119.7 (C9), 120.8 (C22), 129.2 (C17), 130.8 (C8, C10), 134.1
(C27), 135.0 (C16), 146.7 (C6), 148.1 (C30), 149.0 (C31), 149.1 (C20),
149.4 (C19), 151.6 (C3), 167.2 (-COOH); HRMS: calcd for C28H29N2O6
489.2020; found 489.2015.
σ ¼ jσij
i
m
Á
2
∑ ETj−ET
j¼1
2.4. Dipole moment determinations
Two different approaches were employed in this work in order to
determine the dipole moments in the electronic ground and excited
states of dyes 1 and 2. The methods are analyzed below.
2.5. Lippert-Mataga method
2.2. Computations
Lippert-Mataga (LM) method [56,57] is a renown approach
employed when the determination of the dipole moment difference
between excited and electronic ground state of a dye is desired and
experimental data on the fluorescence and absorbance of the dye ob-
tained in solvents of known permittivity and refractive index are
available. For the determination of Δμ a simple correlation between
Calculations were performed using Gaussian 03 program [44] (and
GaussView 4.1 [45] program for visualization). First, structures were op-
timized using the Molecular Mechanics (MM) method. Then, in the DFT
calculations the Becke3-Lee-Yang-Parr (B3LYP) functional [46,47] and
6–311++G(d,p) basis set were used. This hybrid functional was used
by other authors to study 2-pyrazoline derivatives [48–53]. Time-
Dependent (TD)-DFT/B3LYP/6–311++G(d,p) calculations were also
performed.
f
e
e
Δν ¼ νabs−νf and the solvent polarity function Δf(ϵ,n) is required
(see Eqs.5–6). Determining the slope of the line obtained through lin-
ear regression analysis allows the determination of Δμ for a given
dye. Results of the LM method on dyes 1 and 2 are summarized in
Table 9.
2.3. LSERs and solvent polarity parameters contribution analysis
!
ꢂ
ꢃ
ꢀ
ꢁ
All correlations presented in this study were performed on R (ver-
sion 4.0.2). The multiparametric model by Kamlet Abboud and Taft
(KAT) was employed in order to assess the relative contribution of var-
ious solvatochromic parameters expressing solvent polarity.
KAT equation is one of the most widely used LSERs in physical chem-
istry [35]. In its most often used form it is a triparametric equation in-
volving solvent polarity scales describing specific and non-specific
solute-solvent effects on a physicochemical quantity (see XYZ in Eq. 1)
e.g. reaction rate constant, spectral shift etc.
μe−μg 2Δf þ const:
ð5Þ
ð6Þ
1
4πε0
2
f
e
e
Δν ¼ νabs−νf ¼
hc0A3
ꢂ
ε−1
ꢃ
n2−1
2ε þ 1 2n2 þ 1
Δfðε, nÞ ¼
−
2.6. Bilot-Kawski method
XYZ ¼ XYZ0 þ sπ⁎ þ aα þ bβ
ð1Þ
The method introduced by Bilot and Kawski [58,59] allows not only
for the determination of Δμ but also of μe and μg through the linear cor-
f
f
relations of Δν and Σν with solvent polarity functions φ(ϵ,n) and g
(ϵ,n) (Eq. 9 and 10 respectively). Determination of the slopes of the lin-
ear relations 7 and 8 finally results in solutions for μe and μg through
Eqs. 11 and 12.
In this work, XYZ will be the experimentally obtained energy of
maximum absorbance (ET) or energy of maximum fluorescence (Eem
)
of the dyes 1 and 2 and KAT equation is used in the form of Eq. 2. In
eq. 1 the empirical parameter π* expresses a mix of dipolarity and polar-
izability of the medium which is used to quantify the non-specific
solute-solvent effects. Parameters α and β are expressing the HBD-
acidity and HBA-basicity of a solvent respectively. They are used here
in order to quantity the specific solute-solvent effects which influence
the (fluoro)solvatochromism of the dyes 1 and 2. Finally, the intercept
of this triparametric linear equation corresponds to the absorbance or
fluorescence maximum energy in a solvent for which it is: π* = α =
β. The latter solvent is cyclohexane which corresponds to a solvent of
reference for KAT equation. Practically, the sensitivities s, a and b to pa-
rameters π*,α and β respectively and the intercept are determined
through multilinear regression using the statistical program R. Lists of
the results for all cases are presented in Table 6.
f
e
e
Δν ¼ νabs−νf ¼ m1φðε, nÞ þ const:0
ð7Þ
ð8Þ
00
f
e
e
Σν ¼ νabs þ νf ¼ −m2gðε, nÞ þ const:
ꢂ
ꢃꢂ
ꢃ
ε−1
ε þ 2 n2 þ 2
n2−1
2n2−1
n2 þ 2
φðε, nÞ ¼
−
ð9Þ
"
#
À
Á
ꢂ
ꢃꢂ
ꢃ
3 n4−1
ðn2 þ 2Þ2
ε−1
ε þ 2 n2 þ 2
n2−1
2n2 þ 1
n2 þ 2
gðε, nÞ ¼
−
þ
ð10Þ
4