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South African Journal of Chemistry
On-line version ISSN 1996-840X
Print version ISSN 0379-4350
S.Afr.j.chem. (Online) vol.78 Durban 2024
http://dx.doi.org/10.17159/0379-4350/2024/v78a03
RESEARCH ARTICLE
DFT investigation of the structural and spectral properties of cryptolepine: an antimalarial alkaloid
El Hadji Mamadou FallI; Ali ZaidiII, ; Safa Ben AmaraII; Mohamed Abdellahi AmiII; Ndeye Arame Boye FayeI; Thorsten KoslowskiIII
IITNA Institut, University of Cheikh Anta Diop, Dakar, Sénégal
IILaboratoire de Spectroscopie Atomique Moléculaire et Applications, Université de Tunis El Manar Faculté des Sciences de Tunis, El Manar Tunis, Tunisia
IIIInstitut für Physikalische Chemie, Universitàt Freiburg, Freiburg im Breisgau, Germany
ABSTRACT
We report a quantum chemical study of cryptolepine, an alkaloid that is of considerable pharmacological interest. We focus on solvent effects, spectroscopic properties and on chemical reactivity descriptors, such as electronegativity, hardness, and electrophilicity. On the density functional level, gas phase 1H and 13C nuclear magnetic resonance chemical shifts and infrared spectra agree well with experiments, although the dipole moment increases significantly with an increasing polarity of the solvent. We characterize normal modes using a potential energy distribution scheme. In the gas phase and in solution, the UV-Vis spectra are computed using time-dependent density functional theory. Here, major discrepancies between experiment and theory can only be observed in the visible range.
Keywords: DFT, cryptolepine, molecular structure, spectroscopy, solvent effect
INTRODUCTION
Cryptolepis sanguinolenta (Lindl.) Schtr. (Periplocaceae) is a plant used in Central and West African traditional medicine to treat malaria, diarrhea, hypertension and infectious and respiratory diseases.1-3 This tropical plant has been the subject of research for decades, leading to the identification of many pharmacologically active compounds, such as the indoloquinoline alkaloids. The cryptolepine molecule is the main bioactive alkaloid isolated from the root bark of C. sanguinolenta.4 In 1906, cryptolepine was synthesized by Fichter et al.5 Twenty-three years later, cryptolepine was isolated by Clinquart6 from the roots of Cryptolepis triangularis collected in Kisantu, in the Belgian Congo. Subsequently, this molecule was extracted by Delvaux from the same plant material.7 In 1951, cryptolepine was extracted from a root sample of C. sanguinolenta in Nigeria by Gellert et al.,8 and it has also isolated from a Ghanaian sample by Ablordeppey et al.9 Furthermore, cryptolepine is found to be the major alkaloid constituent of the Sida acuta medicinal plant from Sri Lanka,10 its pharmacological properties are mainly related to the alkaloid. Cryptolepine has also been isolated from other natural plants, namely Justicia betonica,11 J. secunda,12 and Sida rhombifolia.13
In addition to its isolation from natural plants, the title compound has been the target of synthetic chemistry, and its wide spectrum of biological and pharmacological properties has been investigated.14 Its antimalarial (as a drug to treat the malaria disease) and antiplasmodial (as a substance that can inhibit the development of Plasmodium parasites) activities are well established either in vivo or in vitro.15 Moreover, it is found that cryptolepine acts as an anti-inflammatory, hypotensive, antipyretic, renal vasodilator, anti-thrombotic, anti-hyperglycemic, anti-cancer,16-17 anti-bacterial18 and anti-diarrheal substance.19 Cryptolepine has an anti-asthma effect,20 and it inhibits the two principal proteases of SARS-CoV-2.21
The following spectroscopic data are available for cryptolepine. Experimental proton and carbon NMR assignments for cryptolepine have been published by Tackie et al.,22 by Ablordeppey et al.,9 and by Cimanga et al.23 In the UV-Vis region, the spectrum of cryptolepine was observed in ethanol and 1,4-dioxane, and a blue shift for the absorption band was found in polar solvents.24
However, to the best of our knowledge, there are no theoretical studies on cryptolepine. The present work aims at investigating the electronic structure and the spectral properties of this naturally occurring alkaloid in detail. This study is dedicated to the isolated molecule, and it is considered as a preliminary step to be followed by the investigation of the cryptolepine-DNA intercalations. To identify the differences between the intercalated system on the one hand and the isolated DNA and cryptolepine, on the other hand, we first have to understand each constituent and check whether theory gives the correct results. While there is a considerable amount of work on nucleases and DNA, the present paper is the first theoretical study on cryptolepine.
Our work is organized in the following way. We give a short overview of the methods employed here, and we discuss the molecular structure of the cryptolepine molecule and its reactivity. The following part addresses a theoretical spectroscopic study including IR, UV-Vis, and NMR techniques. Finally, our results are discussed and compared to experiment.
COMPUTATIONAL DETAILS
Calculations of the molecular properties of cryptolepine have been carried out using density functional theory (DFT), as implemented in the Gaussian 09 program suite.25 The results have been visualized using the GaussView 6 program.26 Geometry optimizations have been performed in the gas phase at the B3LYP level of theory,27-28 combined with the 6-311++G(d,p) basis set.29 To verify the stationary points and to confirm the stability of the optimized geometries, harmonic vibrational frequencies have been calculated from the second derivatives of the energy. Positive values of all computed vibrational wavenumbers ensure that the optimized geometry is located at a true local minimum on the potential energy surface.
Furthermore, chemical reactivity descriptors of cryptolepine, such as the hardness (η), the electronegativity (X) and the electric dipole moment have been computed in the gas phase and in solution. The descriptors (X) and (η) can be expressed as the first and the second derivatives of the total electronic energy with respect to the number N of electrons at fixed external potential Vex, X = and , respectively. 30
Based on a standard finite difference formula, and considering molecular orbital theory, the electronegativity, and hardness are given by: Here, HOMO and LUMO refer to the Highest Occupied Molecule Orbital and Lowest Unoccupied Molecule Orbital, respectively. To characterize the molecular reactivity of the cryptolepine molecule, we also calculate the global electrophilicity index by ω = The electrophilicity of a molecule measures its reactivity towards the attraction of electrons from a nucleophile. As the formula indicates, a high X value and a low n value are characteristic of a strongly electrophilic compound.
The same level of theory was applied to simulate IR, NMR, and the UV-Vis spectra of the title molecule in the gas phase, using the optimized geometries. The vibrational analysis and the vibrational mode assignments are based on the potential energy distribution (PED), they have been performed using the Vibrational Energy Distribution Analysis VEDA-4 program.32 To be comparable to experimental results, the calculated harmonic frequencies are scaled using a factor value of 0.967.33 The Gauge Independent Atomic Orbitals (GIAO) theory34 has been applied to compute the 1H and 13C NMR chemical shifts. These calculations are again based on optimized geometries, as described above. While gas phase computations can only be an approximation to a more complex situation occurring in solution, their applicability will be shown in the Results and Discussion for the molecule under review.
In addition, the UV-Vis spectra have been computed using the time-dependent DFT (TD-DFT) method.35 The Molecular Electrostatic Potential (MEP) and the (HOMO) and (LUMO) frontier molecular orbitals have also been investigated to analyze electronic transitions in cryptolepine.
RESULTS AND DISCUSSION
Molecular geometry
The geometry optimization has been performed at the DFT-B3LYP/6-311++G(d,p) level of theory. For the converged geometry, we find a total energy of -726.606 a.u. The optimized bond lengths and bond angles of cryptolepine are listed in Table 1 and compared with experimental data.36 As cryptolepine has not been crystallized yet,37 we have taken the experimental results from the hydrochloride salt of the compound.36 The molecular structure, along with the enumeration of the atoms is plotted in Figure 1 using the output of the Gaussian 09 and GaussView 06 programs. The molecule can be interpreted as the fused structure of two indole (rings C and D) and two quinoline (rings A and B) moieties. The cryptolepine molecule is slightly bent, with a dihedral angle C6C5N5C5' of 6.2°, these atoms bridge the B and C aromatic rings. The computed value is in good agreement with the experimental angle of 6.8°.38 The small deviation from planarity is due to the five-membered ring located between the two aromatic groups, which induces an asymmetric structural element.
As is shown in Figure 1, cryptolepine has an almost planar structure, and the bond lengths in the four rings vary from 1.351 Å to 1.467 Å with an average value of 1.404 Å. The standard deviation of the calculated bond lengths (0.033 Å) is in good agreement with the experimental one (0.026 Å). The maximum bond length was calculated for C5-C11' (1.467 Å), and corresponds to the observed C5-C6' bond length of 1.433 Å. The minimum bond length corresponds to C10-N10 (1.351Å) and agrees well with the experimental value. The average heteronuclei bond length (1.391Å) is slightly smaller than the homo-nuclei bond (1.410 Å). The bond angles in A, B and D rings have an average value of 120°, while the CCC bond angle amounts to 107.9°. These values are in good agreement with the experimental values of 120° and 108.0°, respectively. The slight difference between experimental and theoretical values can be explained by the fact that the theoretical values are obtained in the gas phase and the experimental ones in the solid phase. In addition, intramolecular interactions play a role in the crystalline structure. Despite these small differences that may be due to factors such as packing effects and the presence of a counterion in the solid phase, the calculated geometrical parameters represent a good approximation that we can rely on in subsequent calculations, such as the computation of vibrational frequencies, nuclear magnetic resonance parameters, and UV-Vis spectra.
Molecular reactivity and solvent effects
Understanding the reactivity of drugs is very useful to investigate fundamental biological processes. In particular, the chemical reactions of alkaloid derivatives, including cryptolepine, have been extensively studied.1-5 It was found that cryptolepine interacts with DNA in the manner of a pi-stacking intercalation,38 and that the positively charged cryptolepine acts as an electrophile. It is located in a position where the negative electrostatic potential of the DNA exhibits a maximum.
The molecular electrostatic potential is very useful to analyze electrostatic interactions between a molecule and its environment, and thus can help to predict its chemical reactivity. To understand the cryptolepine chemical reactivity, we have computed its Molecular Electrostatic Potential Surface (MEPS), again at the B3LYP/6-311++G(d,p) level of theory. The resulting MEPS is shown in Figure 2, where it is mapped onto the molecular electron density with an isodensity surface value of 0.002 a.u. Figure 2 provides a visual representation of the chemically active sites. The relative reactivity of the atoms is represented by their colour: negative and positive electrostatic potentials are shown in red and blue, respectively, while areas with a potential close to zero are shown in green.
As can be seen from Figure 2, the region with a negative potential is located around the N10 atom of the indoline moiety, reflecting the effect of the nitrogen lone pair, whereas the positive region of the MEPS covers the N5-CH3 group of the quinoline moiety. The N10 and N5 nitrogen atoms induce asymmetry to the molecule, and this fact explains the direction of the electric dipole moment of cryptolepine. The molecule contains an electrophilic site around the N5-CH3 group and a nucleophilic region near the nitrogen N10 atom. Consequently, cryptolepine can act as an electrophile or as a nucleophile with respect to its biological activity, and the most probable regions for electrophilic or nucleophilic attack are located around the nitrogen atoms.
In previous studies,38 it was found that cryptolepine binds to DNA in a noncovalent intercalating manner. This is consistent with the nearly planar structure computed here, which enables stacking between successive DNA base pairs.39 From the HOMO and LUMO molecular orbitals displayed in Figure 7, we can deduce that this stacking is probably stabilized by n-n interaction between cryptolepine and DNA bases. Indeed, the stability of the cryptolepine-DNA intercalation complex is enhanced by the asymmetric structure of cryptolepine, which leads to strong stacking with DNA asymmetric sites.40
The chemical hardness (η), electronegativity (x) and electrophilicity (ω) of cryptolepine have been computed in terms of the one-electron energies EHOMO and ELUMO of the frontier molecular orbitals using the equations given in section 2. The B3LYP method and the 6-311++G(d,p) basis set have been employed to calculate n, X and ω global reactivity descriptors and electric dipole moment in the gas phase.
To investigate solvent effects on the molecular structure, additional calculations at the same level of theory have been performed based on the polarizable continuum model (PCM). Classical solvents in chemical laboratory with different dielectric constant have been selected: chloroform (ε = 4.7), DMSO (ε = 47) and water (ε = 78).
The results are summarized in Table 2, where we can see that the cryptolepine molecule has a large electric dipole moment and exhibits a noticeable increase with increasing solvent polarity from 5.76 D in the gas phase to 8.87 D in water. In addition, electronegativity and hardness exhibit the opposite trend when moving from the vacuum to solution. The electronegativity increases with increasing solvent polarity, whereas the resistance to charge transfer measured by n decreases and, thus, the softness of the molecule increases.
According to an electrophilicity scale of organic molecules,41 cryptolepine can be considered as a moderate electrophile, since its electrophilicity takes the value of 1.45 eV in vacuum and lies in the range of 0.8 < ω < 1.5 eV. The electrophilicity is slightly dependent on the medium since its magnitude changes from 1.45 eV in the gas phase to 1.42 eV in water. Furthermore, the Gibbs free energy of solvation of the title compound was calculated, and the corresponding results are given in Table 2. All computed values are negative, which implies that solvation always is an exergonic process.
Spectroscopic data
In this section, computations of the IR, NMR and UV-Vis spectra of cryptolepine are presented. The calculations have been performed at the B3LYP/6-311++G(d,p) level of theory, using the optimized geometries as described above.
Infrared spectroscopy
As shown in Figure 1, the cryptolepine molecule is a tetracyclic heteroaromatic compound with a methyl group at the N5 nitrogen atom. It includes 30 atoms, 33 bonds and exhibits 84 nonzero vibrational modes. Based on the geometry of the ground state described and discussed in section the corresponding infrared spectrum was computed using the standard procedure of the Gaussian 09 program25 at the B3LYP/6-311++G(d,p) level of theory. IR calculations using the B3LYP method usually overestimate the fundamental normal modes, and a rescaling factor very close to unity is commonly used for the wavenumbers.33 In our calculations, the theoretical wavenumbers have been rescaled with a factor of 0.967. Figure 3 displays a comparison between the rescaled spectrum of cryptolepine and the observed spectrum,42 which is conveniently presented in transmission. A Lorentzian function with a half-width of 4 cm-1 has been used to broaden all computed lines. Our results show an excellent agreement with experiments through the wavenumbers range accessible by standard equipment, as shown in the correlation graph of experimental and theoretical FT-IR spectra depicted in Figure 4.
Indeed, the corresponding correlation coefficient is r2 = 0.9995. The calculated and scaled vibrational wave numbers are listed in Table 3 and are compared to the experimental results. Vibrational analysis and vibrational mode assignments of the different IR modes are based on the potential energy distribution (PED) scheme and have been performed using the VEDA 4 program.32 We note that the VEDA program only allows the identification of types of vibrations and the contributing elements, but there is no straightforward way of identifying the atomic numbers. A detailed description of the main harmonic modes is presented in the following sections.
Aromatic C-C vibrations
The FT-IR C-C stretching modes in aromatic compounds show strong vibrational bands usually located in the 1600 -1400 cm-1 wavenumber range. The calculated and scaled C-C stretching modes are obtained at 1617, 1593, 1570, and 1518 cm-1, and they agree rather well with the experimental values observed at 1638, 1615, 1580, 1507 cm-1.42 Other calculated IR bands have been computed at 1369, 1289, and 1019 cm-1, and the corresponding experimental bands are observed at 1369, 1290, and 1040 cm-1. Calculated and experimental wavenumbers slightly disagree since measurements have been done in solution, whereas our calculations are performed for an isolated molecule. Additional IR bands are calculated at 1533, 1325, 1109 cm-1, and assigned to C-C vibrational stretching modes, and no corresponding observed bands are reported.
Aromatic and five-membered rings show CCC in-plane and CCCC out-of-plane bending vibrations. Planar deformations of benzene rings give rise to the in-plane bending modes calculated at 997, 976, 866, 857, 779, 663, 583, and 548 cm-1, in good agreement with the observed modes at 989, 883, 846, 793 and 664 cm-1. The calculated CCCC out of plane vibrational modes lie at 737, 555, 413, 303, 223, 166, 83 and 57 cm-1, and the observed IR spectrum exhibits only one corresponding band at 753 cm-1.
C-N vibrations
C-N stretching vibrational modes are difficult to identify since they occur in a mixture with other modes.43 Silverstein et al. found that C-N vibration modes in heteroaromatic nitrogen compounds lie in the region of 1382-1266 cm-1. In our work, we observe these bands at 1311, 1289, 1272, 1256, 1229 and 1016 cm-1, with a major contribution of the PED equals 25%. The experimental spectrum shows three C-N stretching modes at 1290, 1259, and 1219 cm-1. Moreover, the nitrogen N atom involved in ring skeleton deformations leads to numerous bending modes including the CNC and CCN in-plane or out-of-plane modes and the CCCN and CCNC torsion and out-of-plane modes. The former vibrational modes are calculated at 866, 823, 737, 692, 471, 447, 413, 328, 223, 166, 116, 83, 57 cm-1, while the latter ones lie at 711, 621, 583, 548, 529, 483, 373, 366, 314, 186 cm-1. For these bending vibrations, very few experimental data are observed and only two bending modes are found at 883 cm-1 and 753 cm-1. They can be assigned to the in-plane NCC and to the out-of-plane CCNC bending modes, respectively.
C-H vibrations
The cryptolepine molecule contains a -CH3 methyl group attached to the nitrogen atom at position N5. This gives rise to symmetric and asymmetric C-H stretching modes with well-defined peaks lying at 2948 cm-1 and 3034 cm-1, respectively. These features have been detected in absorption at 2922 cm-1.42 The aromatic CH moieties of the four rings show different stretching modes with a weak-to-moderate band that could be symmetric or asymmetric. The calculated frequencies range from 3057 to 3110 cm-1. However, the CH stretching vibrations are observed as a weak and broad band centered at 3077 cm-1, since the absorption spectrum is obtained in the solid state.
Moreover, the C-H bonds exhibit further vibration modes: scissoring ofthe CH3 group occurs at 1477 and 1464 cm-1, while the rocking mode appears at 1453 cm-1. The experimental counterparts are observed at 1458 and 1450 cm-1. Wagging of the CH3 group leads to IR modes at 1423 and 1389 cm-1. The in-plane HCC bending mode is calculated at 1439, 1405, 1369, 1347, 1311, 1256, 1229, 1193, 1161, 1149, 1135, 1109, and 1091 cm-1. The corresponding experimental values are observed at 1369, 1352, 1259, 1219, 1139, and 1075 cm-1. The frequencies of 953, 951, 926, 914, 884, 823, 821, 732, 725 and 719 cm-1 correspond to the out-of-plane bending of the CH3 group, and the corresponding observed values are 924, 883, 846, 793, 772 and 753 cm-1.
NMR spectroscopy
In addition to infrared spectroscopy, NMR investigations provide information about the molecular structure. In this work, the 1H and 13C chemical shifts for cryptolepine have been computed using the GIAO method at the B3LYP/6-311++G(d,p) level. The calculated values are collected in Table 4, and the corresponding experimental results are also reported.9
As shown in Figure 5a and Figure 5b for the 1H and 13C chemical shifts, the theoretical results accurately reproduce the general trends of the experimental data. The squared correlation coefficient is equal to R2 = 0.9686 and R2 = 0.9947 for hydrogen and carbon atoms, respectively. This accuracy enables a reliable interpretation of the obtained NMR spectroscopic data.
In the 1H NMR spectrum, a singlet observed at 4.92 ppm indicates an equivalent behaviour of the three hydrogen atoms of the methyl group, whereas our calculations give rise to three slightly different values of 5.12, 4.76, and 4.36 ppm. This difference is related to the fact that the computations have been performed for a static molecule. Thus, the three hydrogen atoms are non-equivalent. However, the average NMR chemical shift of 4.75 ppm is very close to the experimentally observed value of 4.92 ppm.
The protons of the conjugated double bonds of the aromatic rings are more deshielded than those of the methyl group due to van der Waals interactions. The H2, H3, H7, and H8 hydrogen atoms are almost equivalent, and the corresponding peaks are calculated at 7.70, 7.86, 7.12, and 7.67, and observed at 7.69, 7.90, 7.05, and 7.53, respectively. H1, H4, H6, and H9 have a similar environment, and so they show nearly the same calculated chemical shifts at 8.41, 8.08, 8.37, and 8.03 ppm, respectively. H11 is the most deshielded hydrogen atom, with 8.87 ppm and 8.95 obtained theoretically and experimentally, respectively. As shown in Table 5, the calculated 13C NMR chemical shifts for the cryptolepine molecule lie within the range of typical organic molecules, which is usually higher than 100 ppm.
The decrease of the charge density around the C11', C5 and C4' carbon atoms gives rise to a notable deshielding effect induced by the electronegativity of the nitrogen atom and n-electron delocalization effects. The signal attributed to the sp3-hybridized C5' carbon atom of the methyl group appears at a chemical shift of 37.7 ppm, and it is slightly smaller than the corresponding experimental value of 38.9.
UV-Vis spectrum
Time-Dependent Density Functional Theory (TD-DFT)35 has been used to compute the vertical transition energies at the B3LYP/6-311++G(d,p) level. The UV-Vis spectrum of cryptolepine was simulated in the gas phase and in chloroform, DMSO, and water. The 250-700 nm wavelength range has been selected to compare our calculations to experiment. In Table 5, vertical excitation energies, oscillator strengths and wavelengths of the main electronic transitions in the UV-Vis region are summarized.
The predicted UV-Vis spectra are displayed in Figure 6, where we can see two main absorption peaks at 300 and 375 nm. These values agree well with the observed peaks at 301 and 380 nm.44 In the visible region, a very weak, broad absorption band is computed with an absorption maximum at 602 nm in the gas phase and around 550 nm in solution It can be assigned to the observed peak at 560 nm.44 We refer to these peaks as band 1, band 2 and band 3, respectively with increasing wavelength. There may be several rotational and vibrational sublevels in the ground and excited states that attribute to the features of band 3. Figure 6 shows different solvent effects: a pronounced hypsochromic shift of-37 nm is found in band 3 when going from the gas phase to chloroform and of 17 nm when increasing the polarity of the solvent from chloroform to DMSO. In the UV region, a smaller solvent effect is calculated in bands 1 and 2, with a hypsochromic shift in band 2 and a bathochromic one in band 1. Bands 2 and 3 show a higher absorption strength in solvent than in vacuum, while band 1 displays the opposite behaviour.
To discuss the UV-Vis spectrum and to investigate the localization and delocalization of the electron density, we present in Figure 7 a 3D plot of the main Frontiers Molecules Orbitais participating in the vertical electronic transitions. The red and green colours refer to positive and negative phases, respectively. Figure 7 shows that the HOMO and LUMO electron density are almost uniformly distributed over the entire molecule. From Table 2, we can see that in polar solvents, solute-solvent interactions reduce the energy of both the ground and excited state, but the HOMO exhibits a stronger stabilization than the LUMO. Thus, the HOMO-LUMO energy gap decreases, leading to the hypsochromic shift in band 3 displayed in Figure 6. As shown in Table 5, the electronic transition at 602 nm (2.05 eV) is dominated by the HOMO-LUMO contribution, and it can be characterized as a ϖ-ϖ* transition. With the help of Figures 6 and 7, the blue shift in band 3 can be interpreted, as the HOMO has a more delocalized electron density than the LUMO. In the UV-Vis region, the maximum absorptions calculated at 300 nm and 375 correspond to HOMO - LUMO+1 and HOMO-1 - LUMO electronic transitions, respectively, and they can be assigned to ϖ-ϖ* transitions.
CONCLUSION
In this work, the cryptolepine molecule has been investigated theoretically at the DFT/B3LYP/6-311++G(d,p) level of theory. The calculated geometrical parameters have been compared to experimental values, and cryptolepine can be considered as a near-planar molecule. ESP computations help to rationalize its biological activity, the most probable regions involved in both electrophilic and nucleophilic attack are located around the nitrogen atoms of the molecule. The molecule has a large electric dipole moment, which increases with increasing solvent polarity. Consequently, cryptolepine is expected to be more soluble in polar than in unipolar solvents. The η, X and w global reactivity descriptors have been calculated in the gas phase and in solution, and the resulting solvent effects have been discussed.
The IR spectrum has been simulated, and the different vibrational modes have been assigned. The computed frequencies have been compared to the observed ones, and small discrepancies have been related to different media used in the experimental and calculated spectra. The experimental UV-Vis spectrum and the quantum chemical data computed in our work show an excellent agreement. 1H and 13C NMR chemical shifts of the title compound have been obtained, and discrepancies with the observed ones have been discussed. The solvent effect on the UV-Vis spectra has been investigated, and the λmax values of the main observed absorption bands have been calculated successfully.
SUPPLEMENTARY MATERIAL
The input file for cryptolepine and the cartesian coordinates of its optimized structure are provided as supplementary information.
ACKNOWLEDGEMENTS
El Hadji Mamadou Fall expresses gratitude to the Abdus Salam ICTP for providing financial support for this work through the OEA-NET-05 project.
ORCID IDS
El Hadji Mamadou Fall: https://orcid.org/0000-0002-7007-3358
Ali Zaidi: https://orcid.org/0000-0002-5463-2252
Safa Ben Amara: https://orcid.org/0009-0003-7500-7282
Mohamed Abdellahi Ami: https://orcid.org/0000-0001-9558-0893
Ndeye Arame Boye Faye: https://orcid.org/0000-0003-3188-5051
Thorsten Koslowski: https://orcid.org/0000-0002-1844-2152
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Received 24 April 2023
Revised 15 September 2023
Accepted 23 September 2023
* To whom correspondence should be addressed. Email: ali.zaidi@ipest.rnu.tn