Abstract
The methods of 1H NMR, spectrophotometric titration, mass spectrometry and elemental analysis are applied to determine the selective binding ability of Co(III)- and Zn(II)-coproporphyrins I towards a series of imidazole-based drug molecules with a wide spectrum of pharmacological activity (metronidazole, histamine, histidine, tinidazole, mercazolil, and pilocarpine) in phosphate buffer (pH 7.4) simulating the blood plasma environment. It is shown that in aqueous buffer media, Co(III)-coproporphyrin I, unlike Zn(II)-coproporphyrin I, binds two imidazole derivatives, and the stability of mono-axial Co-coproporphyrin imidazole complexes is two to three orders of magnitude higher than that of similar complexes of Zn-coproporphyrin I. The studied porphyrinates are found to have the highest binding ability to histamine and histidine due to the formation of two additional hydrogen bonds between the carboxyl groups of the porphyrinate side chains and the binding sites of the ligands in the case of histidine and a hydrogen bond between the amino group of the ligand and the carbonyl oxygen atom of the carboxyl group of the porphyrinate in the case of histamine. The structures of the resulting complexes are optimized by DFT quantum chemical calculations. The results of these studies may be of use in the design of biosensors, including those for the detection, control and verification of various veterinary drug residues in human food samples.
Keywords: Co(III)-porphyrins, Zn(II)-porphyrins, imidazole, axial coordination, selective binding, molecular recognition, receptor
1. Introduction
Complexes of porphyrins with coordinationally unsaturated metal cations (MP, M = Fe(II, III), Co(II, III), Mn(II, III, IV), etc.) are widespread in the living nature surrounding us. Coproporphyrins (tetrapyrrole macroheterocycles, which have propionic acid residues in four β-pyrrole positions) are intermediates in the biosynthesis of many vital substrates. In particular, the level of copro- and uroporphyrins in the urine can be used to identify heme biosynthesis disorders in patients, which can be either congenital, as, for example, in case of hereditary fermentopathies, or acquired, as, for example, with liver diseases and hemolytic anemia [1,2,3]. At the same time, coproporphyrinates have the properties of stable photosensitizers, are characterized by low toxicity and can be easily eliminated from the body. These compounds can be used to treat arthrosis and arthritis and in photodynamic therapy of cancer and surface-localized infections [4,5,6,7].
The aim of this work was to study the processes of the molecular recognition of imidazole-containing drug molecules of different natures by complexes of coproporphyrin I with coordinationally unsaturated metal cations. Due to the electronic effects of substituents and structural features, imidazole and its derivatives exhibit a wide range of pharmacological and/or biological activities and are effectively used in the development of new broad-spectrum drugs, including those used for veterinary medicine. In this work, we studied the binding ability of Co(III)- and Zn(II)-coproporphyrinates I (CoCP and ZnCP, respectively) to antimicrobial and antiprotozoal metronidazole and tinidazole, antithyroid mercazolil, m-cholinomimetic pilocarpine, proteinogenic amino acid histidine, and histamine, one of the mediators that regulate the vital functions of the human body (Figure 1) [8].
Figure 1.
Structures of the studied compounds.
The ability of metalloporphyrin molecules to selectively interact with substrates of different natures depends on the ability of the macrocycle and the substrate to form several intermolecular bonds with each other. For example, in addition to the donor–acceptor bond between the coordinationally unsaturated metal cation of the macrocycle and the electron donor atom of the ligand, there may be additional binding sites formed due to van der Waals and/or dispersion interactions, hydrogen bonds, π–π stacking, etc. [9,10,11]. For example, as [12,13] show, π–π interactions between the porphyrin receptor and the aromatic part of an amino acid significantly stabilize the Zn–porphyrin complex with tryptophan, in comparison with a similar complex with glycine (the stability constant of the complex increases from 60 L/mol in glycine to 1200 L/mol in tryptophan). In our previous work [14], we studied the recognition ability of two hydrophilic Co-tetraarylporphyrins with hydroxyl groups in the phenyl rings of the macrocycle towards imidazole and its derivatives (metronidazole and histidine) to find out whether additional hydrogen bonds could be formed between the hydroxyl groups of the receptor (porphyrinate) and the oxygen atoms of the nitro and carboxyl groups of the substrates. In the coproporphyrinates, the groups that are responsible for their selectivity in organic substrate binding are conformationally flexible propionic acid residues in four β-pyrrole positions of the macrocycle. The structures of the resulting complexes were optimized by DFT quantum chemical calculations. The calculated and experimental data were in good agreement with each other, confirming the ability of the coproporphyrinates to molecularly recognize imidazole-based drug molecules.
In this work, zinc and cobalt were taken as metal ions coordinating the porphyrin ligand, since in buffer media both of these metals have the ability to additionally coordinate nitrogen-containing electron-donor molecules. Moreover, in the case of cobalt, it is possible to attach two ligand molecules with very high stability constants. The Zn(II)-porphyrin was used for comparison with the Co(III)-porphyrin to further demonstrate the differences in the behavior of these metals in aqueous and non-aqueous media.
2. Results and Discussion
The binding ability of ZnCP and CoCP(H2O)2 to imidazole (Im) and a number of imidazole-containing drug molecules (L1–L6) in phosphate buffer (pH 7.4) at 20 °C was studied by the methods of 1H NMR, spectrophotometric titration, mass spectrometry and elemental analyses.
2.1. Formation of Bis-Axial CoCP(H2O)2 Complexes with Imidazole Derivatives
Co(III) complexes of water-soluble tetraarylporphyrins (Co(III)P or CoP) are characterized by bis-axial coordination of both nitrogen- and oxygen-containing small organic molecules [15,16].
The Co 2p spectrum recorded from CoCP(Im) shows the main Co 2p3/2 photoemission line at 788.9 eV and its satellite at 793.8 eV. According to [17], this feature allows us to identify the Co ion in the compound as an intermediate spin (S = 1) Co(III) species. The X-ray photoelectron spectra of the CoCP(L) samples were studied using an X-ray photoelectron spectrometer Kratos Analytical AXIS Supra, with a high-power monochromatic Al Kα radiation source with a photon energy of 1486.6 eV (Figure S1).
Earlier, we studied the processes of complexation of Co(III)-tetraarylporphyrins (CoTCPP and CoTSPP) with various drugs based on nitrogen-containing heterocycles [18,19]. Table 1 and Figure 2a show data on the stability constants of CoTCPP axial complexes, taken in this work as the object of comparison, with a number of imidazole derivatives. The location of the carboxyl groups in this macrocycle (4-positions of the phenyl rings) makes it impossible for additional hydrogen bonds to be formed with these ligands. The stability constants of the mono- and diaxial CoTCPP complexes with different L differ insignificantly.
Table 1.
Total energies of formation of ZnCP(L), CoCP(L) and CoCP(L)2 (−ΔGg, kJ·mol−1), M-N(Im) bond energies (−ΔGM-L, kJ·mol−1) and hydrogen bond energies (−ΔGHB, kJ·mol−1).
| CoTCPP + L | CoTCPP(L) + L | CoCP + L | CoCP(L) + L | ZnCP + L | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
| −ΔGg a | −ΔΔGM-N b | −ΔGg | −ΔΔGM-N | −ΔGg | −ΔΔGMN+HB c | −ΔGg | −ΔΔGMN+HB | −ΔGg | −ΔΔGMN+HB | |
| Im | 37.26 | 0 | 28.31 | 0 | 29.90 | 0 | 25.02 | 0 | 15.77 | 0 |
| L1 | 37.36 | 0.10 | 28.46 | 0.15 | 32.69 | 2.27 | 26.44 | 1.42 | 16.21 | 0.44 |
| L2 | 37.30 | 0.04 | 28.40 | 0.09 | 34.28 | 4.38 | 28.13 | 3.11 | 22.29 | 6.52 |
| L3 | 37.33 | 0.07 | 28.41 | 0.10 | 35.12 | 5.22 | 28.54 | 3.52 | 21.58 | 5.81 |
| L4 | 37.23 | −0.03 | 28.22 | −0.09 | 30.86 | 0.96 | 26.14 | 1.12 | 17.02 | 1.25 |
| L5 | 37.18 | −0.08 | 28.00 | −0.31 | 30.26 | 0.36 | 25.61 | 0.59 | 16.05 | 0.28 |
| L6 | 37.04 | −0.22 | 27.81 | −0.50 | 32.18 | 2.28 | 26.19 | 1.17 | 17.60 | 1.83 |
a The total energy of MP(L) or MP(L)2 formation (ΔG = −RT lnK, T = 293 K); b the relative energy of MP(L) or MP(L)2 formation due to different M–L bond strengths; c the relative energy of the formation of MP(L) or MP(L)2 complexes due to different M–L bond strengths (<0.5 kJ·mol−1) and hydrogen bonding in the complex (>0.5 kJ·mol−1).
Figure 2.
Equilibrium constants K1, M−1 (a,c) and K2, M−1 (b,d) for the axial ligand exchange reactions of water-soluble CoTCPP (a,b) and CoCP (c,d) with imidazole-containing organic bases (the estimated uncertainty in the K values is ± 5%).
Like CoTCPP and CoTSPP, CoCP forms bis-aqua complexes in aqueous media at pH 7.4, and the replacement of the aqua-groups with organic bases represents a two-stage process:
| CoCP(H2O)2 + L ↔ CoCP(L)(H2O) | (1a) |
| CoCP(L)(H2O) + L ↔ CoCP(L)2 | (1b) |
Each of the process stages is accompanied by its own characteristic spectral changes in the UV-Vis spectra of the reaction system. In particular, the replacement of the first water molecule with the ligand is characterized by a decrease in the intensity of the Soret band and its red shift by 3.5 nm (Figure 3a). The replacement of the second water molecule is characterized by less noticeable spectral changes (Figure 3b).
Figure 3.
Data of spectrophotometric Im-titration of CoCP(H2O)2: (a) the first titration step and titration curve (c), corresponding to the formation of CoCP(Im) (Cporph. = 8 × 10−6 mol/L; CIm = 0 ÷ 8 × 10−6 mol/L); (b) the second titration step and titration curve (d), corresponding to the formation of CoCP(Im)2 (Cporph. = 8 × 10−6 mol/L; CIm = 8 × 10−6 ÷ 2 × 10−4 mol/L).
Theoretical UV-Vis spectra were calculated using the ZINDO/S semi-empirical method. This method is adapted for transition element compounds and also helps in predicting and describing electronic transitions of metalloporphyrin molecules and related compounds (Figure S2).
It is known that the electronic transitions of porphyrins corresponding to the Soret band (B-band) in the visible region are carried out mainly due to the π→π* transitions between HOMO-1 and LUMO/LUMO + 1 orbitals.
Thus, two identical transitions (λ1 = 392.59, f = 1.98 and HOMO-1→ LUMO + 1, λ2 = 392.78 nm, f = 2.00) are observed in the symmetric di-aqua complex of cobalt coproporphyrinate (CoCP(H2O)2), due to the degeneracy in the energy of LUMO/LUMO + 1 orbitals. When the first imidazole molecule is coordinated (CoCP(Im)), the degeneracy from the frontier orbitals is partly removed and a lower-energy transition contributes to the Soret band (HOMO-1→ LUMO, λ = 394.31, f = 1.57), which is demonstrated as a red shift. Finally, when two imidazole molecules coordinate (CoCP-(Im)2), the vacant boundary orbitals become degenerate again, and two identical electronic transitions are realized (λ1 = 396.45 nm, f = 1.70 and λ2 = 396.49 nm, f = 1.69).
The results of quantum chemical calculations are in good agreement with the experimental red shift of the Soret band during complexation. Figure S2 shows the calculated electronic spectra for the complexes, as well as the scheme of electronic transitions.
The calculated constants of the water molecules’ replacement for the imidazole compounds (K1 and K2) are listed in Table 1 and in Figure 2c,d. As the presented data show, the CoCP binding ability towards imidazole in aqueous media is lower than that of hydrophilic CoTCPP. Moreover, the stability of the mono- and diaxial Co(III)-coproporphyrin complexes with the imidazole derivatives (L1–L6) strongly depends on the presence of additional binding sites in the latter (Figure 2).
The obtained dependence of the stability constants on the ligand nature and the calculated thermodynamic parameters of the axial coordination process, which will be discussed below, suggest that at least four of the six studied drug molecules, when coordinated on the macrocycle zinc cation, form additional hydrogen bonds with the binding sites of the conformationally mobile propionic acid branches of CoCP. The most stable complexes are formed with histidine and histamine, probably due to the formation of fairly strong hydrogen bonds between the porphyrinate binding sites and amine and/or carboxyl groups of the ligand (6.5 and 5.8 kJ/mol, respectively). The stability constant of the CoCP(L2) and CoCP(L3) complexes is higher than that of the CoCP(Im) complex by an order of magnitude.
In the Co(III)-5,15-bis-(4-sylfophenyl)-10,20-bis-(3-hydroxyphenyl)-porphyrin and Co(III)-5,15-bis-(4-sylfophenyl)-10,20-bis-(2-hydroxyphenyl)-porphyrin described by us in [14], the selectivity of binding imidazole derivatives is only observed when the first ligand is bound. When the second axial ligand is attached, the binding process is not selective. This is probably explained by the fact that in the case of these porphyrins, the second complexation step is only due to the single-center binding of the ligands through the metal cation of the macrocycle (i.e., the sulfo- and hydroxy-binding sites rigidly fixed on the macrocycle periphery are not capable of forming additional bonds with the ligand molecule).
At the same time, it was established that the CoCP’s ability to molecularly recognize imidazoles is also retained upon coordination of the second ligand, although the energy of additional binding for the second ligand is somewhat lower. This, apparently, means that the coordination of the second imidazole derivative is also accompanied by the formation of additional binding centers.
2.2. ZnCP Mono-Axial Complexes with Imidazole Derivatives
In both non-aqueous and aqueous media, the zinc cation in the composition of porphyrin macrocycles is in the oxidation state (II) and forms mono-axial ZnCP(L) complexes with strong organic bases, such as imidazole and its derivatives [20,21,22]. The data presented in Figure 4 indicate that complexation of Zn-porphyrin with the organic ligand results in the formation of 1:1 complexes (there is one family of spectral curves in the UV-Vis spectrum of the reaction system, Figure 4a, and there is one step on the respective curves of spectrophotometric titration, Figure 4b). The shift in the Soret band that accompanies the formation of the ZnCP mono-ligand complex is ~7 nm.
Figure 4.
Spectrophotometric Im-titration of ZnCP in phosphate buffer (pH 7.4): (a) changes in UV-Vis spectra; (b) curves of spectrophotometric titration at two wavelengths—“decreasing” at 400 nm and “increasing” at 412 nm.
The stability constants of the mono-axial ZnCP complexes with various imidazole-containing drugs and the enthalpies of their formation are shown in the diagram (Figure 5) and in Table 1.
Figure 5.
Equilibrium constants (K, M−1) for the axial ligand exchange reactions of water-soluble ZnCP with nitrogen-containing organic bases (the estimated uncertainty in the K values is ± 5%).
As the presented data show, ZnCP’s binding ability to imidazole in aqueous media is three to four times lower than that of hydrophilic Zn-tetraarylporphyrins. Moreover, the stability of the mono-axial ZnCP complexes with the imidazole derivatives (L1–L6) also strongly depends on the presence of additional binding sites in the latter (Figure 5). The ZnCP(L) stability constants for the imidazole derivatives have a similar relationship to those of CoCP(L) and CoCP(L)2. This means that upon coordination of the ligands on ZnCP, the studied substrates form similar additional bonds with the propionic acid fragments of the porphyrinate. The most stable complexes are formed with histidine and histamine, probably due to the formation of fairly strong hydrogen bonds between the porphyrinate binding sites and amine and/or carboxyl groups of the ligand (6.5 and 5.8 kJ·mol−1, respectively). The stability constant of the ZnCP(L2) and ZnCP(L3) complexes is higher than that of the ZnCP(Im) complex by more than an order of magnitude.
2.3. Geometry Optimization of ZnCP(L) and CoCP(L)
Table 2 shows the calculated energy and geometric parameters of ZnCP complexes with axial ligands (L1–L6). An NBO analysis was performed to predict the natural molecular charge distribution as well as to calculate the stabilization energies between the ligand and the porphyrinate zinc cation. The interaction between the donor and acceptor orbitals was analyzed based on the second-order perturbation stabilization energy (Est) and the charge transfer value (qCT) presented in Table 2. The intermolecular interaction energy of the studied complexes with the axial ligands was also calculated by taking into account the BSSE superposition error (−Eint).
Table 2.
Energy and geometric parameters of ZnCP(L) in the gas phase.
| Ligands | −Eint
kcal·mol−1 |
Zn-L, Å |
Est(Zn-L) kcal·mol−1 |
qCT (L), e |
Est(Zn-Np) kcal·mol−1 |
qCT, e |
Zn-Np, Å |
<N-Zn-N ° |
|---|---|---|---|---|---|---|---|---|
| L1 | −12.97 | 2.268 | 38.26 | 0.103 | 45.55 | 0.150 | 2.074 | 163.5 |
| L2 | −19.57 | 2.183 | 44.66 | 0.120 | 45.07 | 0.148 | 2.088 | 162.9 |
| L3 | −17.31 | 2.197 | 44.47 | 0.116 | 43.91 | 0.144 | 2.071 | 163.7 |
| L4 | −14.93 | 2.253 | 38.62 | 0.101 | 48.14 | 0.158 | 2.074 | 164.5 |
| L5 | −12.42 | 2.256 | 38.33 | 0.113 | 47.50 | 0.184 | 2.074 | 163.2 |
| L6 | −15.19 | 2.166 | 46.18 | 0.123 | 46.93 | 0.150 | 2.079 | 163.5 |
Np—nitrogen atom of the pyrrole ring of the macrocycle.
The NBO analysis shows that the Zn–N bond in the coordination center was identical for all of the calculated structures and was formed by the partial transfer of the nitrogen atom electron pair to the free orbitals of the zinc cation (LP N → LP * Zn). The interaction between the donor and acceptor orbitals was analyzed based on the second-order perturbation stabilization energy. The Est value increased as the interaction energy between the host and guest molecules became higher. The stabilization energy between the central zinc cation and the nitrogen atom of the macrocycle pyrrole ring, according to the NBO analysis data, was 43–49 kcal·mol−1, which is higher than the stabilization energy of Zn-porphyrinate with axial ligands.
The calculation results show that the interaction of the macrocycle zinc cation with the nitrogen atom of the amino acid led to the elongation of the Zn(II) ion from the macrocycle plane. This can be seen from the values of the N–Zn–N angle, which decreased proportionally to the increase in the energy of the axial ligand binding to the Zn-porphyrin (Table 2). At the same time, the stabilization energy of the Zn–N bond decreased in inverse proportion to the energy of the porphyrinate interaction with amino acids, which was in the range of 11–20 kcal/mol. Thus, the highest binding energy of Zn-porphyrin was observed in the case of histamine (L2) and decreased in the series L2 > L3 > L6 > L4 > L5 > L1.
As the analysis of the optimized structures shows, the higher binding energy of L2 and L3 is probably associated with the formation of additional hydrogen bonds between the porphyrinate and the ligand. The lengths of these bonds are 1.9 and 2.0 Å, respectively, which allows them to be classified as medium-strength hydrogen bonds.
Similar geometric, electronic and energy parameters calculated for the CoCP(L) mono-ligand complexes are presented in Table 3. The geometric optimization of the extra-complexes was carried out by taking into account the above-described features of the geometric structure of the initial molecules. During the optimization, many different configurations were taken into account, differing in the presence and type of hydrogen bonds between the periphery of the macrocycle and extra-ligand. Figure 6 shows the optimized structure of the complexes corresponding to configurations with the minimal energy.
Table 3.
Geometric, electronic and energy parameters of the CoCP(L1–L6) extra-complexes.
| Ligands | Eint, kcal·mol−1 |
r(Co-NIm), Å |
ΣEst(LP(NIm)→LP*(Co)), kcal·mol−1 | qst(LP(NIm)→LP*(Co)), e | r(Co-NPyr), Å |
ΣEst(LP(NPyr)→LP*(Co)), kcal·mol−1 | qst(LP(NPyr)→LP*(Co)), e | ∠N-Co-N, ° |
|---|---|---|---|---|---|---|---|---|
| Im | 20.44 | 2.1184 | 24.53 | 0.147 | 1.9920 | 34.45 | 0.143 | 173.8 |
| L1 | 34.61 | 2.1992 | 26.9 | 0.124 | 1.9863 | 54.81 | 0.143 | 173.5 |
| L2 | 42.45 | 2.2232 | 28.09 | 0.123 | 1.9755 | 56.31 | 0.143 | 166.9 |
| L3 | 39.48 | 2.2355 | 27.54 | 0.122 | 1.9825 | 55.33 | 0.141 | 171.9 |
| L4 | 34.65 | 2.1498 | 29.67 | 0.131 | 1.9868 | 54.92 | 0.142 | 171.6 |
| L5 | 26.93 | 2.1584 | 30.98 | 0.133 | 1.9756 | 49.13 | 0.149 | 174.8 |
| L6 | 36.76 | 2.1366 | 31.82 | 0.129 | 2.0048 | 58.34 | 0.152 | 174.7 |
Figure 6.
Optimized structures of the extra-complexes corresponding to configurations with minimal energy.
The calculated Zn–N and Co–N bond lengths and the N–Zn–N and N–Co–N angles given in Table 2 and Table 3 are in good agreement with the literature data [23,24,25,26].
It is obvious that a significant contribution to the energy of the intermolecular interaction between the extra-ligand and porphyrinate is provided by hydrogen bond formation, which is observed in all of the considered extra-complexes.
According to Table 4, the strongest hydrogen bonds are observed in the CoCP(L2) and CoCP(L3) extra-complexes. In the first case, the significant energy gain is due to the formation of a cyclic hydrogen bond between the carboxyl groups, as it occurs in carboxylic acid dimers, and in the second, an abnormally strong hydrogen bond is formed between the amino group of the extra-ligand and the carboxyl group on the macrocycle periphery. The high stabilization energy can also indicate proton transfer processes in the CoCP(L3) complex, similar to the proton transfer in amino acids (Figure 7).
Table 4.
Characteristics of intramolecular hydrogen bonding in CoCP(L).
| Ligand | Type | r(H···B), Å | ∠A-H···B, ° | ΣEst, kcal·mol−1 |
|---|---|---|---|---|
| Im | - | - | - | - |
| L1 |
|
1.83 | 172.5 | 13.47 |
|
1.98 | 149.4 | ||
| L2 |
|
1.75 | 168.3 | 22.27 |
| 1.74 | 156.8 | |||
| L3 |
|
1.67 | 159.1 | 36.15 |
| L4 |
|
1.75 | 162.3 | 5.68 |
| L5 |
|
2.24 | 147.7 | 3.02 |
| L6 |
|
1.85 | 166.8 | 6.55 |
Figure 7.
The strongest intramolecular hydrogen bonds in CoCP(L2) (a) and CoCP(L3) (b).
In conclusion, it should be said that the calculated values of the intramolecular interaction energy for the extra-complexes in free state are consistent with the thermodynamic stability constant of the complexes calculated from the experimental data (Figure 8 and Figure 9). However, it should be taken into account that the real systems have been studied in buffer solutions, the components of which, together with the solvent, can also participate in the interactions.
Figure 8.
Intermolecular interaction energies of the studied complexes with axial ligands, taking into account the BSSE superposition error (−Eint) (kcal·mol−1) (the blue bar) and the total Gibbs energies of ZnP(L) complex formation (−ΔGg, kJ·mol−1), calculated from the experimental data (the cyan bar).
Figure 9.
Intermolecular interaction energies of the studied complexes with axial ligands, taking into account the BSSE superposition error (−Eint) (the blue bar) and the total Gibbs energies of CoP(L) complex formation, calculated from the experimental data (the cyan bar).
2.4. 1H NMR Studies
The formation of the MCP(L) metal complexes was readily observed by 1H NMR spectroscopy. The characteristics of the 1H NMR spectra of a series of CoCP(L), which can be formed without an excess of a substrate, are presented in Table 5 and Figure 10.
Table 5.
Proton signals in the 1H NMR spectra of the imidazole derivatives in the free form and in the CoCP(L) composition.
| L | 1H NMR-Spectrum of L | 1H NMR-Spectrum of L in the CoCP(L) Complexes |
|---|---|---|
| L1 | 8.027 (s, 1H, Im) 5.3 (br. s, 1H, -OH) 4.36 (t, 2H, -CH2-CH2-OH) 3.67 (t, 2H, -CH2-CH2-OH) 2.46 (s, 3H, -CH3) |
5.86 (br.s, 1H, -OH)-downfield shift 4.23 (t, 2H, -CH2-CH2OH), 3.48 (t, 2H, -CH2-CH2OH), 3.28 (s, 1H, 2-Im) -upfield shift 2.28 (s, 3H, -CH3). |
| L2 | 11.92 (s, 1H, -COOH) 8.24 (s, 1H, Im) 7.43 (s, 1H, Im) 6.13 (br. s. 2H, NH2) 4.9 (br. s, 1H, NH) 4.06 (s, 1H, -CH-) 3.37 (t, 2H, -CH2-) |
12.47 (s, 1H, -COOH) 3.43 (s, 1H, Im) 6.32 (s, 1H, Im) 6.24 (br.s, 2H, NH2) 4.6 (br. s, 1H, NH) 4.15 (s, 1H, -CH-) 3.31 (t, 2H, -CH2-) |
| L3 | 7.54 (s, 1H, Im) 6.80 (s, 1H, Im) 6.25 (br.s. 2H, NH2) 4.98 (br. s, 1H, NH) 2.97 (t, 2H, Im-CH2-CH2-) 2.75 (t, 2H, Im-CH2-CH2-) |
3.58 (s, 1H, Im) 5.73 (s, 1H, Im) 7,12 (br.s, 2H, NH2) 4,90 (br. s, 1H, NH) 2.94 (t, 2H, Im-CH2-CH2-) 2.70 (t, 2H, Im-CH2-CH2-) |
| L4 | 8.027 (s, 1H, Im) 3.48 (s, 2H, -CH2-) 3.26 (t, 2H, -CH2-CH2-CH3) 2.16 (t, 2H, -CH2-CH2-CH3) 1.19 (s, 3H, -CH2-CH2-CH3) 2.46 (s, 3H, -CH3) |
3.61 (s, 1H, Im) 3.32 (s, 2H, -CH2-) 4.12 (t, 2H, -CH2-CH2-CH3) 2.16 (t, 2H, -CH2-CH2-CH3) 1.23 (s, 3H, -CH2-CH2-CH3) 2.51 (s, 3H, -CH3) |
| L5 | 12.2 (br. s, 1H, SH) 7.54 (d, 1H, Im) 6.80 (d, 1H, Im) 2.46 (s, 3H, -CH3) |
12.39 (br.s, 1H, SH) 3.33 (d, 1H, Im) 5.78 (d, 1H, Im), 2.49 (s, 3H, -CH3) |
| L6 | 8.84 (s, 1H, Im) 7.14 (s, 1H, Im) 4.09 (m, 2H, -CH2-) 3.66 (m, 2H, -CH2-) 3.16 (s, 3H, -CH3) 2.98 (s, 1H, -CH<) 2.79 (s, 1H, -CH<) 1.58 (m, 2H, -CH2-CH3) 1.07 (s, 3H, -CH2-CH3) |
3.38 (s, 1H, Im) 7.03 (s, 1H, Im) 4.02 (m, 2H, -CH2-) 3.62 (m, 2H, -CH2-) 3.18 (s, 3H, -CH3) 3.13 (s, 1H, -CH<) 2.97 (s, 1H, -CH<) 1.52 (m, 2H, -CH2-CH3) 1.12(s, 3H, -CH2-CH3) |
Figure 10.
1H NMR spectrum of CoCP(L1) in d6-DMSO at 25 °C.
The axial coordination of the L1–L6 ligands on the Co(III) cation of the macrocycle is evidenced by the characteristic high-field shifts of the signals of the ligand imidazole fragment, which are in the immediate vicinity of the ring current of the aromatic tetrapyrrole macrocycle.
The additional hydrogen bonds in the MCP(L) formed between the O-H, N-H, and S-H groups of the macrocycle and ligand are predominantly of an electrostatic nature. Their formation is always accompanied by a strong downfield shift in the resonant signal involved in proton binding [27,28,29]. D6-DMSO is a solvent capable of forming very strong hydrogen bonds with the above protons (Table 5). The signals of such protons in d6-DMSO are narrower and shifted downfield compared to the other solvents.
During the formation of axial CoCP(L) complexes with additional hydrogen bonds (Table 4), which are stronger than H···d6-DMSO, the signals are also shifted downfield compared to the signal positions in the L1–L6 spectra. In the 1H NMR spectra of CoCP(L1–L4, L6), the proton signal of the porphyrinate carboxyl groups (broadened singlet) is split and partially shifted downfield (Figure 10). Similar downfield shifts are observed in the proton signals of the CoCP(L1) hydroxy group, the CoCP(L3) amino group, and the CoP(L5) HS group (Table 5). The fact that the -COOH resonances of the 1:1 CoCP and L2 mixture appear as four sharp signals, which are significantly shifted downfield from their original position in the individual components (CoCP and L2), confirms that two OH···O hydrogen bonds are formed in the CoP(L5) complex.
The existence of the most durable mono-axial complexes was also recorded by mass spectrometry (Figure 11). In the mass spectra of the CoCP(L2) and CoCP(L3) complexes obtained in the negative shooting mode, the peaks of the target ions [M]− (m/z 835.7) and (m/z 821.8), respectively, were recorded. The highest intensity peak in the mass spectra of both complexes was formed as a result of the elimination of the axial ligands and corresponds to the CoCP ion (m/z 710.7).
Figure 11.
Mass spectrum of CoCP(L3).
Figure S3 shows the powder diffraction patterns of CoCP, one of the studied ligands (L2), and the CoCP(L2)2 complex. The diffraction pattern of the CoCP(L2)2 complex differs from the diffraction pattern of the starting compounds. This sample is less crystalline (more amorphous), which does not allow any correspondence with our simulated samples.
3. Materials and Methods
3.1. Compounds
Coproporphyrin I (3,8,13,18-tetramethyl-2,7,12,17-tetrapropionic acid-21,23-porphyrin), ZnCl2, CoCl2, imidazole, 2-(2-methyl-5-nitro-1H-imidazol-1-yl)ethanol (metronidazole, L1), 2-amino-3-(1H-imidazol-4-yl)propionic acid (histidine, L2), 4-(2-aminoethyl)imidazole (2-(1H-imidazol-4-yl)ethanamine)(histamine, L3), 1-(2-ethylsulfonylethyl)-2-methyl-5-nitroimidazole (L4), 1-methyl-2-imidazolethiol (L5), and hydrochloride of (3S-cis)-3-ethyldihydro-4-[(1-methyl-1H-imidazol-5-yl)methyl]-2(3H)-furanone(pilocar-pine, L6) were analytical grade reagents supplied by Sigma-Aldrich and Merck. Ethanol was purchased from Fluka.
3.2. Synthesis and Characterization
3.2.1. Synthesis
Zn(II)-coproporphyrin I and Co(III)-coproporphyrin I were obtained from commercially available coproporphyrin I by means of the method described in [30]. The product of the interaction of coproporphyrin I with cobalt chloride in ethanol in a nitrogen atmosphere is Co(II)-coproporphyrin. When planted in water in an air atmosphere, Co(II)-coproporphyrin is oxidized to diaqua-Co(III)-coproporphyrin.
Zn(II)-coproporphyrin I (ZnCP). Elemental analysis: calcd. (%) for C36H36N4O8Zn·H2O: C, 58.74; H, 5.20; N, 7.61; found: C, 58.51; H, 5.18; N, 7.56. 1H NMR (500 MHz, d6-DMSO): δ, 12.28 (s, 4H); 10.27 (s, 4H), 4.28 (t, 8H), 3.87 (t, 12H), 3.22 (m, 8H). ESI-Mass: MS (API-ES): (M = 718.04) neg, (m/z): 717.9, 653.4, 479.4. UV-Vis spectrum in buffer (pH 7.4), λmax, nm (lgε): 403.4 (5.15), 535.3 (3.62), 571.2 (3.95).
Co(II)-coproporphyrin I (Co(II)CP).Elemental analysis: calcd. (%) for C36H36N4O8Co: C, 60.76; H, 5.10; N, 7.87; found: C, 60.58; H, 5.07; N, 7.81. 1H NMR (500 MHz, d6-DMSO): δ, 15.47 (br.s, 4H), 4.68 (br.s, 8H), 4.45 (br.s, 12H), 4.08 (br.s, 8H). ESI-Mass: MS (API-ES): (M = 711.62) neg, (m/z): 710.9. UV-Vis spectrum in DMF, λmax, nm (lgε): 392.4 (5.15), 529.3 (3.62), 562.2 (3.95).
Co(III)-coproporphyrin I [CoCP or CoCP(H2O)2]. Elemental analysis: calcd. (%) for C36H36N4O8Co·H2O: C, 59.26; H, 5.25; N, 7.68; found: C, 58.98; H, 5.21; N, 7.54. 1H NMR (500 MHz, d6-DMSO): δ, 12.20 (s, 4H), 10.24 (s, 4H), 4.25 (m, 8H), 3.72 (t, 12H), 3.16 (m, 8H). ESI-Mass: MS (API-ES): (M = 711.62) neg, (m/z): 710.7. UV-Vis spectrum in buffer (pH 7.4), λmax, nm (lgε): 405.2(5.12), 536.8 (3.59), 573.0 (3.9).
Co(III)-tetra(4-carboxyphenyl)porphyrin [CoTCPP or CoTCPP(H2O)2] was prepared as described in [16]. Elemental analysis: calcd. (%) for C48H28CoN4O8: C, 68.01; H, 3.33; N, 6.61; found: C, 67.80; H, 3.31; N, 6.57. 1H NMR (500 MHz (d6-DMSO): δ, 9.22 (s, 8H), 9.05 (m, 8H), 8.26 (m, 8H). ESI-Mass: MS (API-ES): (M = 847.7) neg, (m/z): 846.5. UV-vis spectrum in buffer (pH 7.4), λmax nm, (logε): 426.7(5.01), 540.0 (3.96).
3.2.2. Characterization
Spectrophotometric studies. The UV-Vis spectra were recorded at 25 °C on a Jasco V-770 spectrometer. The thermodynamic constants for the complexation of CoCP and ZnCP with a ligand (L) were calculated by the formula based on the spectrophotometric titration experiment results:
or
where λ1 is the descending wavelength; λ2 is the ascending wavelength; [MP-L] is the concentration of the porphyrinate with one axial ligand; and [L] is the ligand concentration. ΔAo is the maximal change in the solution optical density at the given wavelength, and ΔAi is the change in the solution optical density at the given wavelength at the given concentration [31].
NMR studies. All the NMR experiments were performed on a Bruker Avance III-500 NMR spectrometer equipped with a 5 mm probe using standard Bruker TOPSPIN Software. TMS signals were used as the internal standards to determine the chemical shifts. The temperature control was performed using a Bruker variable temperature unit (BVT-2000) in combination with a Bruker cooling unit (BCU-05) to provide chilled air. The experiments were performed at 298 K without sample spinning.
The elemental analyses were performed on a Flash EA 1112 C, H, N analyzer.
The mass-spectra were obtained on a Shimadzu Biotech Axima Confidence MaldiTof mass-spectrometer (with dihydroxybenzoic acid as the matrix).
The X-ray photoelectron spectra were studied on an X-ray photoelectron spectrometer Kratos Analytical AXIS Supra, with a high-power monochromatic Al Kα radiation source with a photon energy of 1486.6 eV.
X-ray powder diffraction (XRPD) measurements were carried out on a Bruker AXS D8-Advance diffractometer (Bruker AXS).
3.2.3. Details of Quantum Chemical Calculations
The density functional theory (DFT) calculations were carried out using the GAUSSIAN 16 quantum chemical program package [32]. The geometry optimization, vibrational frequency calculations and conformational analysis of the complexes and individual molecules in the ground state were performed using the B97D3 functional [33,34] in combination with the 6-31 + G* [35] basis set. The analysis of the electron density distribution was carried out using the NBO program [36] implemented in GAUSSIAN 16. All of the calculations were performed for isolated molecules in vacuum, without taking into account the effect of the solvent. The results of the quantum chemical calculations were visualized with the ChemCraft program [37].
4. Conclusions
Thus, this study has shown that Co(III) complexes of coproporphyrin I have the ability to bind one or two molecules of imidazole-containing drugs with a wide range of pharmacological activities (metronidazole, histamine, histidine, tinidazole, mercazolil, and pilocarpine) in phosphate buffer (pH 7.4), simulating the blood plasma environment. The stability of the resulting mono- and diaxial porphyrin complexes with the ligands depends on whether the latter has a nitrogen-containing heterocycle (imidazole) and various binding sites capable of forming additional hydrogen bonds with conformationally flexible propionic acid side substituents of the macrocycle (there are two hydrogen bonds between the carboxyl groups in the case of histidine, and a hydrogen bond between the amino group of the ligand and the carbonyl oxygen atom of the carboxyl group of the porphyrinate in the case of histamine). The spectral responses to the substrate binding processes were identified and characterized, and the stability constants of the resulting complexes and concentration ranges of their existence were determined. The results of these studies may be of use in the design of biosensors, including those for the detection, control and verification of various veterinary drug residues in human food samples.
Acknowledgments
This research was performed using the equipment of the Center for Joint Use of Scientific Equipment “The Upper Volga Regional Center of Physicochemical Studies”.
Supplementary Materials
The following supporting information can be downloaded at: https://www.mdpi.com/article/10.3390/molecules28030964/s1. Figure S1: Deconvoluted Co 2p XPS spectrum of the CoCP(Im)2 powder samples. Figure S2: TDDFT absorption spectra of CoCP (a), CoCP-(Im) (b) and CoCP-(Im)2 (c), Energy and type of calculated frontier molecular orbitals of CoCP, CoCP(Im) and CoCP(Im)2 (d). Figure S3: Powder XRD profiles of 1 (L2), 2(CoCP), 3 [CoCP(L2)2].
Author Contributions
Conceptualization, N.M.; methodology, N.M., G.M. and E.K.; software, I.L. and E.K. All authors have read and agreed to the published version of the manuscript.
Institutional Review Board Statement
Not applicable.
Informed Consent Statement
Not applicable.
Data Availability Statement
Not applicable.
Conflicts of Interest
The authors declare no conflict of interest.
Sample Availability
Samples of the compounds are available from the authors.
Funding Statement
This research was supported by the Ministry of Science and Higher Education of the Russian Federation, project No. 075-15-2021-579.
Footnotes
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.
References
- 1.Watson C.J. Hematin and Porphyria. N. Engl. J. Med. 1975;293:605–607. doi: 10.1056/NEJM197509182931210. [DOI] [PubMed] [Google Scholar]
- 2.Stein P.E., Badminton M.N., Rees D.C. Update Review of the Acute Porphyrias. Br. J. Haematol. 2017;176:527–538. doi: 10.1111/bjh.14459. [DOI] [PubMed] [Google Scholar]
- 3.Wang B., Rudnick S., Cengia B., Bonkovsky H.L. Acute Hepatic Porphyrias: Review and Recent Progress. Hepatol. Commun. 2019;3:193–206. doi: 10.1002/hep4.1297. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 4.Bykhovsky V.Y., Zaitseva N.I., Mironov A.F., Osin N.S., Pecherskikh E.V., Rumyantseva V.D., Sukhin G.M. Coproporphyrins, Uroporphyrins, and Their Metal Comlexes: Biosynthesis and Application to Immune Analysis and Diagnostic Methods. Appl. Biochem. Microbiol. 2001;37:561–568. doi: 10.1023/A:1012342815215. [DOI] [PubMed] [Google Scholar]
- 5.de Haas R.R., van Gijlswijk R.P.M., van der Tol E.B., Zijlmans H.J.M.A.A., Bakker–Schut T., Bonnet J., Verwoerd N.P., Tanke H.J. Platinum Porphyrins as Phosphorescent Label for Time-Resolved Microscopy. J. Histochem. Cytochem. 1997;45:1279–1292. doi: 10.1177/002215549704500911. [DOI] [PubMed] [Google Scholar]
- 6.de Haas R.R., van Gijlswijk R.P.M., van der Tol E.B., Veuskens J., van Gijssel H.E., Tijdens R.B., Bonnet J., Verwoerd N.P., Tanke H.J. Phosphorescent Platinum/Palladium Coproporphyrins for Time-Resolved Luminescence Microscopy. J. Histochem. Cytochem. 1999;47:183–196. doi: 10.1177/002215549904700207. [DOI] [PubMed] [Google Scholar]
- 7.Imran M., Ramzan M., Qureshi A., Khan M., Tariq M. Emerging Applications of Porphyrins and Metalloporphyrins in Biomedicine and Diagnostic Magnetic Resonance Imaging. Biosensors. 2018;8:95. doi: 10.3390/bios8040095. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 8.Zheng X., Ma Z., Zhang D. Synthesis of Imidazole-Based Medicinal Molecules Utilizing the van Leusen Imidazole Synthesis. Pharmaceuticals. 2020;13:37. doi: 10.3390/ph13030037. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 9.Steed J.W., Atwood J.L. Supramolecular Chemistry. 2nd ed. John Wiley & Sons, Inc.; Hoboken, NJ, USA: 2009. [Google Scholar]
- 10.Grunenberg J. Complexity in Molecular Recognition. Phys. Chem. Chem. Phys. 2011;13:10136–10146. doi: 10.1039/c1cp20097f. [DOI] [PubMed] [Google Scholar]
- 11.Zhang J., Landry M.P., Barone P.W., Kim J.-H., Lin S., Ulissi Z.W., Lin D., Mu B., Boghossian A.A., Hilmer A.J., et al. Molecular Recognition Using Corona Phase Complexes Made of Synthetic Polymers Adsorbed on Carbon Nanotubes. Nat. Nanotechnol. 2013;8:959–968. doi: 10.1038/nnano.2013.236. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 12.Kuroda Y., Ogoshi H. Molecular Recognition of Modified Porphyrins. Synlett. 1994;1994:319–324. doi: 10.1055/s-1994-22840. [DOI] [Google Scholar]
- 13.Ogoshi H., Hatakeyama H., Kotani J., Kawashima A., Kuroda Y. New Mode of Porphyrin Complexation with Nucleobase. J. Am. Chem. Soc. 1991;113:8181–8183. doi: 10.1021/ja00021a062. [DOI] [Google Scholar]
- 14.Mamardashvili G., Kaigorodova E., Dmitrieva O., Koifman O., Mamardashvili N. Molecular Recognition of Imidazole Derivatives by Co(III)-Porphyrins in Phosphate Buffer (PH = 7.4) and Cetylpyridinium Chloride Containing Solutions. Molecules. 2021;26:868. doi: 10.3390/molecules26040868. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 15.Ashley K.R., Leipoldt J.G. Kinetic and Equilibrium Study of the Reaction of (Meso-Tetrakis(p-SuIfonatophenyI)Porphyrinato)Diaquocobaltate(III) with Pyridine in Aqueous Solution. Inorg. Chem. 1981;20:2326–2333. doi: 10.1021/ic50221a076. [DOI] [Google Scholar]
- 16.Hambright P., Langley R. Cyanide Scavengers: Kinetics of the Reactions of Cyanide with a Water Soluble Cobalt(III) Porphyrin. J. Inorg. Biochem. 1988;32:197–205. doi: 10.1016/0162-0134(88)80027-8. [DOI] [PubMed] [Google Scholar]
- 17.Oku M. X-Ray Photoelectron Spectrum of Low-Spin Co(III) in LiCoO2. J. Solid State Chem. 1978;23:177–185. doi: 10.1016/0022-4596(78)90063-4. [DOI] [Google Scholar]
- 18.Kaigorodova E.Y., Mamardashvili G.M., Mamardashvili N.Z. Axial Coordination of Pyridine- and Imidazole-Based Drug Molecules to Co(III)-Tetra(4-Carboxyphenyl)Porphyrin. Russ. J. Inorg. Chem. 2018;63:1192–1198. doi: 10.1134/S0036023618090061. [DOI] [Google Scholar]
- 19.Mamardashvili G.M., Kaigorodova E.Y., Khodov I.A., Scheblykin I., Mamardashvili N.Z., Koifman O.I. Micelles Encapsulated Co(III)-Tetra(4-Sulfophenyl)Porphyrin in Aqueous CTAB Solutions: Micelle Formation, Imidazole Binding and Redox Co(III)/Co(II) Processes. J. Mol. Liq. 2019;293:111471. doi: 10.1016/j.molliq.2019.111471. [DOI] [Google Scholar]
- 20.D’Souza F., Deviprasad G.R., Zandler M.E. Aggregation and Axial Ligand Exchange Behavior of Water-Soluble Pyrrole-β Brominated Porphyrins. J. Chem. Soc. Dalton Trans. 1997;93:3699–3704. doi: 10.1039/a702456h. [DOI] [Google Scholar]
- 21.Mamardashvili G., Mamardashvili N., Koifman O. Macrocyclic Receptors for Identification and Selective Binding of Substrates of Different Nature. Molecules. 2021;26:5292. doi: 10.3390/molecules26175292. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 22.Maltceva O., Mamardashvili G., Khodov I., Lazovskiy D., Khodova V., Krest’yaninov M., Mamardashvili N., Dehaen W. Molecular Recognition of Nitrogen—Containing Bases by Zn[5,15-Bis-(2,6-Dodecyloxyphenyl)]Porphyrin. Supramol. Chem. 2017;29:360–369. doi: 10.1080/10610278.2016.1238473. [DOI] [Google Scholar]
- 23.Qin L., Li Y., Liang F., Li L., Lan Y., Li Z., Lu X., Yang M., Ma D. A Microporous 2D Cobalt-Based MOF with Pyridyl Sites and Open Metal Sites for Selective Adsorption of CO2. Microporous Mesoporous Mater. 2022;341:112098. doi: 10.1016/j.micromeso.2022.112098. [DOI] [Google Scholar]
- 24.Qin L., Liang F., Li Y., Wu J., Guan S., Wu M., Xie S., Luo M., Ma D. A 2D Porous Zinc-Organic Framework Platform for Loading of 5-Fluorouracil. Inorganics. 2022;10:202. doi: 10.3390/inorganics10110202. [DOI] [Google Scholar]
- 25.Liu J.-Q., Wu J., Li F.-M., Liu W.-C., Li B.-H., Wang J., Li Q.-L., Yadav R., Kumar A. Luminescent Sensing from a New Zn(ii) Metal–Organic Framework. RSC Adv. 2016;6:31161–31166. doi: 10.1039/C6RA01709F. [DOI] [Google Scholar]
- 26.Wu Y., Wu J., Luo Z., Wang J., Li Y., Han Y., Liu J. Fluorescence Detection of Mn2+, Cr2O72− and Nitroexplosives and Photocatalytic Degradation of Methyl Violet and Rhodamine B Based on Two Stable Metal–Organic Frameworks. RSC Adv. 2017;7:10415–10423. doi: 10.1039/C6RA28728J. [DOI] [Google Scholar]
- 27.Sonti R., Gopi H.N., Muddegowda U., Ragothama S., Balaram P. A Designed Three-Stranded β-Sheet in an α/β Hybrid Peptide. Chem.-A Eur. J. 2013;19:5955–5965. doi: 10.1002/chem.201204327. [DOI] [PubMed] [Google Scholar]
- 28.Nikolić A., Jović B., Csanady S., Petrović S. N–H⋯O Hydrogen Bonding: FT IR, NIR and 1H NMR Study of N-Methylpropionamide—Cyclic Ether Systems. J. Mol. Struct. 2007;834–836:249–252. doi: 10.1016/j.molstruc.2006.11.003. [DOI] [Google Scholar]
- 29.Yamauchi K., Kuroki S., Ando I. The Amide Proton NMR Chemical Shift and Hydrogen-Bonded Structure of Glycine-Containing Peptides and Polypeptides in the Solid State as Studied by Multi-Pulse-Associated High-Speed MAS 1H NMR. J. Mol. Struct. 2002;602–603:9–16. doi: 10.1016/S0022-2860(01)00781-5. [DOI] [Google Scholar]
- 30.Alibabaei L., Wang M., Giovannetti R., Teuscher J., di Censo D., Moser J.-E., Comte P., Pucciarelli F., Zakeeruddin S.M., Grätzel M. Application of Cu(ii) and Zn(ii) Coproporphyrins as Sensitizers for Thin Film Dye Sensitized Solar Cells. Energy Environ. Sci. 2010;3:956. doi: 10.1039/b926726c. [DOI] [Google Scholar]
- 31.Meites L. Introduction to Chemical Equilibrium and Kinetics. Pergamon; Oxford, UK: 1981. [Google Scholar]
- 32.Frisch M.J., Trucks G.W., Schlegel H.B., Scuseria G.E., Robb M.A., Cheeseman J.R., Scalmani G., Barone V., Mennucci B., Petersson G.A., et al. Gaussian 09. Gaussian Inc.; Wallingford, CT, USA: 2009. Revision E.01. [Google Scholar]
- 33.Grimme S. Semiempirical GGA-Type Density Functional Constructed with a Long-Range Dispersion Correction. J. Comput. Chem. 2006;27:1787–1799. doi: 10.1002/jcc.20495. [DOI] [PubMed] [Google Scholar]
- 34.Grimme S., Ehrlich S., Goerigk L. Effect of the Damping Function in Dispersion Corrected Density Functional Theory. J. Comput. Chem. 2011;32:1456. doi: 10.1002/jcc.21759. [DOI] [PubMed] [Google Scholar]
- 35.Francl M.M., Pietro W.J., Hehre W.J., Binkley J.S., Gordon M.S., DeFrees D.J., Pople J.A. Self-consistent Molecular Orbital Methods. XXIII. A Polarization-type Basis Set for Second-row Elements. J. Chem. Phys. 1982;77:3654–3665. doi: 10.1063/1.444267. [DOI] [Google Scholar]
- 36.Glendening E.D., Landis C.R., Weinhold F. NBO 6.0: Natural Bond Orbital Analysis Program. J. Comput. Chem. 2013;34:1429–1437. doi: 10.1002/jcc.23266. [DOI] [PubMed] [Google Scholar]
- 37.Chemcraft-Graphical Software for Visualization of Quantum Chemistry Computations. [(accessed on 22 December 2022)]. Available online: https://www.chemcraftprog.com.
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Supplementary Materials
Data Availability Statement
Not applicable.













