4
42
J.M. Markovi ´c et al. / Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 135 (2015) 435–446
basis set in vacuum (Fig. 7d–f). Vibration analysis showed that no
imaginary frequencies exist, confirming that local minima were
obtained. Predicted thermal energy and zero-point vibrational
energies of conformers, energies of frontier orbitals and numerical
values of dipoles are shown in Table 3. Dipoles are also depicted in
Fig. 7. It should be noted that for the 4-MeO-substituted derivative
As a consequence of N-methylation of the central pyridine ring,
and the presence of the iodine counter-ion, the s-cis/s-trans confor-
mation of compound 6 was found as the most stable. The HOMO
orbital is delocalized over the whole system, while LUMO is pri-
marily located on the styrylpyridinium core with minimal density
on the iodide counter anion. Because basis set used for compound
6 is different from the basis set used for geometry optimization of
the neutral compounds, energies of the frontier orbitals and their
difference for this compound cannot be compared with the rest
in the set.
(1) significantly lower differences in energies of three conformers
were obtained, comparing to data reported in Ref. [9], obtained
for the unsubstituted compound. This can be a consequence of
somewhat different structures of compounds, as well as the differ-
ences in basis sets used.
The UV–Vis spectra of all conformations obtained by MP2
method were calculated by semiempirical ZINDO/S method, and
by TD-DFT calculations with 6-311G basis set. The calculated
UV–Vis spectra are shown in Supplementary Material (Fig. S2).
Obviously, the predicted UV–Vis spectra obtained by ZINDO/S
method are (at least by the position of the absorption maxima)
something more like to the experimentally obtained spectrum of
compound 1, but are still in significant extent far from the real
spectrum, considering both the width of the peaks and the posi-
tions of absorption maxima. A more detailed examination of this
type will be performed on unsymmetrically substituted derivatives
in future.
Linear solvation energy correlation analyses
The Kamlet–Taft [16] and Catalán [17] linear solvation energy
relationship (LSER) models were used in order to investigate
effects of solvent–solute interactions on the absorption maxima
shifts (solvatochromic properties). The three-parameter Kamlet–
Taft model (Eq. (1)) describes hydrogen bond donating (
a) and
hydrogen bond accepting (b) capacities, along with dipolarity/
*
polarizability (p ) of solvents.
m
~
¼
~
mmax;0 þ a ꢄ
a
þ b ꢄ b þ s ꢄ pꢅ
ð1Þ
max
The significance of each of those effects on the solvatochromic
properties is expressed by the weights of terms a, b and s. Although
this is the most frequently used LSER model, it does not separate
dipolarity and polarizability effects of solvents. The newer, Catalán
LSER model (Eq. (2)), provides different parameters, SP and SdP, for
those two effects, respectively, along with parameters which
describe hydrogen bond donating (SA) and hydrogen bond accept-
ing (SB) abilities of solvents.
Nature of the frontier molecular orbitals
The optimized molecular geometries, their highest occupied
molecular orbitals (HOMOs) and lowest unoccupied molecular
orbitals (LUMOs) are shown in Fig. 9.
The molecular geometries of neutral compounds 1–5 and 7, are
optimized in their s-cis/s-cis geometries to stationary point, on DFT
level of theory (B3LYP/6-311G). Energies of frontier orbitals are
shown in Table 4. Qualitatively, HOMO of the neutral compounds
is delocalized over the entire molecule, while, with the exception
of compounds 4 and 7, LUMO is shifted towards the central pyri-
dine ring. The introduction of the weakly electron-donating ethoxy
groups in compounds 3 and 5 does not produce any appreciable
change in the position of HOMO and LUMO orbitals with respect
to compound 2. The energy gap of these compounds resembles
that of compound 2, although the involvement of the oxygen
atoms in HOMO slightly lowers its energy. On the other hand,
the introduction of the strong electron-withdrawing nitro group
in compound 4 causes a shift of the electron density of LUMO
towards the outer phenyl rings. LUMO and LUMO+1 orbitals are
almost degenerated for compound 4 (Fig. 9 and Table 4). In addi-
tion, the introduction of the nitro group leads to a stronger stabil-
ization of both HOMO and LUMO orbitals, and the energy gap for
this compound is the lowest, when compared with other neutral
compounds. It should be noted that the magnitude of dipole
moment of the neutral compounds increases with increasing num-
ber of substituents in the outer rings, and the electron-withdraw-
ing ability of substituents (Table 4). In compound 7, which is
symmetrical as the other compounds, both LUMO and LUMO+1
orbitals are delocalized over its bent core in something unsymmet-
rical fashion, and energies of both HOMO and LUMO are lowered
with respect to compound 2.
m
~
¼
~
mmax;0 þ a ꢄ SA þ b ꢄ SB þ c ꢄ SP þ d ꢄ SdP
ð2Þ
max
The solvent parameters of both models are given in Supplementary
Material (Table S1). The results of the multiple linear regression
analysis obtained by the Kamlet–Taft and Catalán models are
shown in Tables 5 and 6, respectively. All correlation coefficients
(R) calculated at the 95% confidence level are higher than 0.91, for
all regressions. Therefore, those equations are suitable for the anal-
ysis of solvatochromic behavior. The success of the quantification
and interpretation of solvent effects on the position of the most
intense absorption band is illustrated in Fig. S3 (Supplementary
Material) by plots of
mmax measured (
mexp) versus mmax calculated
(mcalc).
In both models, coefficient a provides information about inter-
actions between hydrogen-bond donating (HBD) moiety of sol-
vents and the appropriate hydrogen-bond accepting (HBA)
fragments of compounds, while coefficient b describes the specific
solvation of compounds by hydrogen bonding to the HBA moieties
of solvents.
One can expect that HBD solvents interact with the pyridine
nitrogen, or with the oxygen atoms of OH, EtO or NO groups of
2
molecules, but the strength of such interactions are different from
compound to compound. The accessibility and the strength of
interactions of the hydrogen-bonding moieties of the molecules,
in their ground state, with HBA and HBD were estimated using
GRID [31–33] probes that represent the hydroxyl group bound to
Table 3
Predicted stabilities, energies of frontier orbitals and dipoles of three conformers of 4-MeO derivative (1), Fig. 7d–f, as obtained by MP2 calculations with 6-311G basis set on
T = 298.16 K and P = 1 atm, without applied solvent model.
Conformer
Thermal E (kcal/mol)
Zero-point vibrational E (kcal/mol)
E HOMO (Hartree)
E LUMO (Hartree)
Dipole (Debye)
s-trans/s-trans
s-cis/s-trans
s-cis/s-cis
250.597
249.642
250.233
235.272
234.739
234.783
ꢂ0.27507
ꢂ0.27290
ꢂ0.27184
0.07087
0.07100
0.06877
4.528
2.674
2.289