R.V. Sakthivel, P. Sankudevan, P. Vennila et al.
Journal of Molecular Structure 1233 (2021) 130097
Table 5
Quantum Chemical Parameters of Cobalt, Nickel and Copper complexes at B3LYP/6-
11G(d,p)/LANL2DZ.
3
Parameters
Schiff base ligand
Cobalt complex
Nickel complex
Copper complex
HOMO (-I)
LUMO (-A)
-5.97
-2.27
3.70
-9.63
-8.71
0.92
-9.64
-8.43
1.21
-9.75
-8.49
1.27
ꢀ
E (L-H)
μ=-(I+A)/2
η=(I-A)/2
-4.12
1.85
-9.17
0.46
-9.04
0.61
-9.12
0.63
∗
ω=μ μ/2η
4.59
90.88
19.82
494.25
3.94
67.33
14.90
395.59
6.12
65.66
14.40
508.15
3.33
ꢀ
Nmax=-μ/η
2.23
α (au)
299.99
9.41
DM (debye)
DE (a.u)
-1236.18
-2300.36
-2325.17
-2351.33
ciple [39] and Minimum Magnetizability Principle [40] in the lit-
erature provide useful information about stability or reactivity of
molecules. Chemical hardness is defined as the resistance to charge
transfer of chemical species. HSAB theory suggests that "hard acids
tend to coordinate hard bases and soft acids tend to coordinate
soft bases." According to Maximum Hardness Theorem, chemical
hardness is a prerequisite for consistency and hard molecules are
more stable compared to soft ones. In the hard and soft classifi-
MEP plots obtained from the total SCF (self-consistent-field) den-
sity clearly represent the electron-rich and electron-poor region
based on the electrostatic potential. As expected, the surround-
ing of the oxygen and nitrogen atoms are the red color demon-
strating the electron-rich field having the highest negative elec-
trostatic potential value. And the hydrogen atoms of the hydroxy
group are the blue color implying the electron-poor regions hav-
ing the highest positive electrostatic potential value. The presence
of the metal atom in the molecule influences the distribution of
the electron density: all-metal complexes mainly show the green-
blue color all over their surfaces. Here, the electrostatic potential
value has been determined as Cu(II) (± 0.778e) > Ni(II) (± 0.353e)
> Co(II) (± 0.214e) that support the tendency of the antioxidant ac-
tivity of these complexes.
cation of Pearson, Co2 , Ni , Cu
+
2+
2+
ions appear among borderline
acids. Experimental hardness values of these ions obey the order:
Cu2 > Ni > Co
2+
[40,41]. In our calculations, we obtained the
+
2+
same order. It is apparent from the data given in the related table
that the ligand considered in this study is harder than the afore-
mentioned ions. If so, one can say that the ligand interacts more
powerful with Cu2 ion. Already, hardness value of Copper com-
plex is higher than that of others and this complex is more stable
compared to Nickel and Cobalt complexes (refer Table 5).
+
3.7. Natural bond orbitals
Minimum Electrophilicity Principle and Minimum Polarizability
Principle have been suggested by inspiring from Maximum Hard-
ness Principle. Minimum Electrophilicity Principle states that in an
exothermic reaction, sum of the electrophilicity values of prod-
ucts should be smaller than that of reactants. It can be understood
from this information, electrophilicity can be also used in reactiv-
ity analysis of molecules. Stable molecules should have lower elec-
trophilicity values compared to reactive molecules. If so, Minimum
Electrophilicity also confirms the stability of Copper complex. Ac-
cording to the Minimum Polarizability Principle, in a stable state,
polarizability is minimized. It is important to note that the relation
between polarizability and softness has been proven by Ghanty
and Ghosh. Minimum Polarizability Principle and the polarizabil-
ity data given in the related table imply that Nickel complex will
be more stable compared to others. This result is not compatible
with experimental observations and the results of Maximum Hard-
ness and Minimum Electrophilicity Principles. It is well known that
there is a remarkable correlation between dipole moment and po-
larizability. Some researchers noted that dipole moment is a mea-
sure of polarizability. The molecules having high dipole moment
values are more polarizable [42]. One can say that dipole moment
values also support the stability of Copper complex.
The NBO analysis was performed for predicting the existence of
the donor-acceptor interaction on the molecule [44], and the re-
sults were presented in supplementary material Table S6. Due to
the existence of the unsaturated rings, the resonance interactions
are mainly contributed to the stabilization of the ligand and its
metal complexes in addition to the cieplak interactions predicted
for the metal complexes [23, 24]. For the ligand, the lone pair elec-
tron of the oxygen atoms of the hydroxyl group has a main role in
contributing to the stabilization energy; the stabilization energy of
∗
∗
the interactions LP(2) O37→ π C29-C32 and LP(2)O38 → π C18-
C20 are calculated as 32.68 and 32.79 kcal/mol, respectively. If the
MEP plot of the Ligand molecule is recalled, the surrounding of the
oxygen atoms is in red color. On the other hand, the presence of
the Co, Ni, and Cu metals in the center of the molecule provides
the complexes more electrophilicity. For the Copper complex, the
∗
∗
interactions πC20-C23(2) → π C18-O38 and πC3-C4(2)→ π C2-
N10 have greatly supported the stabilization with the energies
∗
of 25.23 and 22.67 kcal/mol. Addition, πC17-C19(2)→ π N10-C15,
∗
∗
πC21-C23(2) → π C17-C19, and LP(2) O38 → π C18-C20, 48.01,
32.67, and 30.83 kcal/mol. For the Nickel complex, the stabilization
∗
energy of the interactions πC17-C19(2) → π N10-C15, πC21-C23
∗
∗
(2) → π C17-C19, and LP (2) O38 → π C18-C20 are found to be in
48.01, 32.67 and 30.83 kcal/mol, respectively. For the Cobalt com-
plexes complex, the resonance interactions have quite provided the
Fig. 6 presents the frontier molecular orbital densities and MEP
plots of the Ligand and three metal complexes [43]. For the lig-
and molecule, the EHOMO density as an indicator of the nucle-
ophilic attack site is expanded over on the whole surface, except
for the oxygen atom of the nitro group. Also, the ELUMO density
depicting the electrophilic attack site is mainly distributed over the
whole surface and partly on the benzylic group that connects the
two (E)-2-((methylimino) methyl) phenol rings. The EHOMO and
ELUMO amplitudes show over the L-M complex in a different dis-
tribution from each other. For instance, the EHOMO density of the
cobalt complex distributes over the surrounding of the center of
the Co-chelating while the EHOMO of the nickel complex has po-
sitioned on the whole surface except for the -NO2 group. Also,
∗
stabilization, E(2) of the interactions for πC1-N11 (2) → π C16-
∗
∗
C27, π C2-N10(2)→ π C15-C17, πC3-C4(2)→ π C1-N11, πC20-
∗
∗
C23(2)→ π C18-O38, πC32-C33(2)→ π C29-O37 are calculated as
29.08, 29.63, 30.39, 28.48, and 28.28 kcal/mol.
3
.8. Natural population analysis (NPA) and Metal–Ligand charge
interaction analysis
The transfer of charges acting a vital role in applying quantum
chemical calculations to molecular system due to atomic charges
affecting the dipole moment, polarization, molecular nature (acid-
7