Structure and electronic properties of azadirachtin

We performed a combined DFT and Monte Carlo ¹³C NMR chemical-shift study of azadirachtin A, a triterpenoid that acts as a natural insect antifeedant. A conformational search using a Monte Carlo technique based on the RM1 semiempirical method was carried out in order to establish its preferred structure. The B3LYP/6-311++G(d,p), wB97XD/6-311++G(d,p), M06/6-311++G(d,p), M06-2X/6-311++G(d,p), and CAM-B3LYP/6-311++G(d,p) levels of theory were used to predict NMR chemical shifts. A Monte Carlo population-weighted average spectrum was produced based on the predicted Boltzmann contributions. In general, good agreement between experimental and theoretical data was obtained using both methods, and the ¹³C NMR chemical shifts were predicted highly accurately. The geometry was optimized at the semiempirical level and used to calculate the NMR chemical shifts at the DFT level, and these shifts showed only minor deviations from those obtained following structural optimization at the DFT level, and incurred a much lower computational cost. The theoretical ultraviolet spectrum showed a maximum absorption peak that was mainly contributed by the tiglate group.     

<Emphasis Type="Italic">Ab initio</Emphasis> Hartree-Fock calculations on linear and second-order nonlinear optical properties of new acridine-benzothiazolylamine chromophores

The calculation of optimized molecular structure and molecular hyperpolarizability of four new acridine-benzothiazolylamine chromophores (1–4) [2-nitro-6-(piperid-1-yl) acridine (1), 6-(benzothiazol-2-yl-amino)-2-nitro-acridine (2), 6-(6-ethylcarboxylate-benzothiazol-2-yl-amino)-2-nitroacridine (3), 6-(6-(β-hydroxyethyl-benzothiazol-2-yl-amino)-2-nitroacridine (4)] have been investigated using ab initio methods. Ab initio optimization were performed at the Hartree–Fock level using STO-3G basis set. The first hyperpolarizabilities have been calculated at the Hartree–Fock method with 6–31G and 6–311G basis sets using Gaussian 98W. In general, the first hyperpolarizability is dependent on the choice of method and basis set. To understand this phenomenon in the context of molecular orbital picture, we examined the frontier molecular orbital energies of all the molecules by using HF/6–31G, 6–311G levels. The polarizability, anisotropy of polarizability and ground state dipole moment of all the molecules have also been calculated. These acridine-benzothiazolylamine chromophores display significant second–order molecular nonlinearity, β (60.2–137.0 × 10⁻³⁰ esu) and provide the basis for future design of efficient nonlinear optical materials having the acridine-benzothiazolylamine core.     

A new era of the prototropic tautomerism of the quercetin molecule: A QM/QTAIM computational advances

Abstract

In this study for the first time we have revealed and investigated in details 123 different prototropic tautomers of the most stable conformer of the quercetin molecule using quantum-mechanical calculations at the MP2/6-311++G(2df,pd)//B3LYP/6-311++G(d,p) level of QM theory. We have found that in the most energetically favorable prototropic tautomer mobile hydrogen atoms are localized at the О3, О3′, О4′, О5, and О7 exocyclic oxygen atoms. Molecular tautomers are in the range of the Gibbs free energies from 0.0 to 69.8?kcal·mol^?1, while zwitterionic ones – from 30.1 до 172.8?kcal·mol^?1 at normal conditions. It was also reliably established that the weakest point causing the decyclization of the molecule is its C ring – this reaction is launched by the transition of the proton from the C8H group to the endocyclic O1 oxygen atom. All prototropic tautomers, except two cases, are joined by the intramolecular cooperative specific interactions (from 1 to 5) – H-bonds and attractive van der Waals contacts, which have been revealed and characterized by QTAIM analysis.

Communicated by Ramaswamy H. Sarma     

Molecular mechanisms of transitions induced by cytosine analogue: comparative quantum-chemical study

Using the simplest molecular models at the MP2/6-311++G(2df,pd)//B3LYP/6-311++G(d,p) level of the theory it has been shown for the first time that in addition to traditional incorporational errors caused by facilitated (compared with the canonical DNA bases cytosine (Cyt)) tautomerization of 6-(2-deoxy-beta-D-ribofuranosyl)-3,4-dihydro-6H,8H-pyrimido[4,5-c][1,2]oxazin-7-one (DCyt), this mutagen causes the replication errors, increasing one million times the population of mispair Gua.DCyt* (asterisk marked mutagenic tautomer) as compared with mispair Gua.Cyt*. It is also proved that DCyt in addition to traditional incorporational errors also induces similar errors by an additional mechanism - due to a facilitated tautomerization of the wobble base pair Ade.DCyt (compared to the same pair Ade.Cyt) to a mispair Ade.DCyt* which is quasirisomorphic Watson-Crick base pair. Moreover, the obtained results allowed interpreting non-inconsistently the existing experimental NMR data.     

A theoretical study of cooperative and anticooperative effects on hydrogen-bonded clusters of water and the cyanuric acid

Ab initio and density functional calculations are used to analyse the interaction between a molecule of the cyanuric acid and one, two and three molecules of water at B3LYP/6-311++ G(d,p) and MP2/6-311++ G(d,p) computational levels. Also, the cooperative effect (CE) in terms of the stabilisation energy of clusters is calculated and discussed. Depending on the geometry of clusters under study, the cooperative, non- or anti-CE was found with an increasing cluster size. Red shifts of N–H and C = O stretching frequencies illustrate a good dependence on the CE. The atoms in molecules theory is used to analyse the CE on topological parameters.     

Effect of carboxylate and Na ions on the tautomeric status of 9-methylguanine

Interactions of 9-methylguanine (m9Gua) with carboxylate ion of acetic acid (CH3COO-) and Na+ were studied by 1H NMR spectroscopy and ab initio quantum chemical calculations of the B3LYP/6-31++G(d,p) and B3LYP/6-311++G(d,p) levels of theory. Changes in the m9Gua 1H NMR spectrum in the presence of the equimolar amount of sodium acetate (NaAc), which in anhydrous DMSO dissociates to CH3COO- and Na+, were interpreted as a consequence of a complex formation of m9Gua in the amino-keto-N1H tautomeric form (m9GuaN1H) with carboxylate ions via two H-bonds involving amino and N1H-imino protons. Quantum chemical calculations of interactions of the m9GuaN1H ground-state tautomer and the m9GuaN3H high energy one with relative energy 20.01 kcal/mol show that the ground state tautomer forms the ground-state complex CH3COO-:mgGuaN1H, by 5.57 kcal/mol more stable than the CH3COO-:m9GuaN3H complex, and coordination of Na+ with the O6 and N7 atoms reduces this energy difference to 2.57 kcal/mol. Such a coordination of Na+ with tautomer m9GuaN3H therewith decreases its relative energy only to 13.31 kcal/mol. Non-additivity of the two ligands contributions to the 8-times reduction of the relative energy of the high energy tautomer in the CH3COO-:m9GuaN3H:Na+(O6,N7) triple complex was concluded, the role of CH3COO- being dominant. Besides, coordination with Na+ resulted in an iminoproton transfer from the base to CH3COO- in the triple complexes of both tautomers, according to calculations in vacuum. Biological significance of the results is noticed.     

Theoretical potential functions and vibrational analysis for halocarbonyl azides CXO-NNN (X=F,Cl and Br)

The structural stability of halocarbonyl azides CXO-NNN (X=F, Cl and Br) was investigated by DFT and MP2 calculations using the 6-311++G** basis set. From the calculations, the molecules were found to have an s-cis<--> s-trans conformational equilibrium with cis being the lower -energy form. Full energy optimizations were carried out for the transition states and the minima at the B3LYP/6 -311++G** and MP2/6 -311++G** levels, from which the rotational barriers were calculated to be of the order 8-10 kcal x mol(-1). The vibrational frequencies were computed at the DFT -B3LYP level and the vibrational assignments for the normal modes of the stable conformers were made on the basis of normal coordinate calculations.     

Many-body energies during proton transfer in an aqueous system

The energetics of the mechanism of proton transfer from a hydronium ion to one of the water molecules in its first solvation shell are studied using density functional theory and the Møller–Plesset perturbation (MP2) method. The potential energy surface of the proton transfer mechanism is obtained at the B3LYP and MP2 levels with the 6-311++G** basis set. Many-body analysis is applied to the proton transfer mechanism to obtain the change in relaxation energy, two-body, three-body and four-body energies when proton transfer occurs from the hydronium ion to one of the water molecules in its first solvation shell. It is observed that the binding energy (BE) of the complex decreases during the proton transfer process at both levels of theory. During the proton transfer process, the % contribution of the total two-body energy to the binding energy of the complex increases from 62.9 to 68.09% (39.9 to 45.95%), and that of the total three-body increases from 25.9 to 27.09% (24.16 to 26.17%) at the B3LYP/6-311++G** (MP2/ 6-311++G**) level. There is almost no change in the water–water–water three-body interaction energy during the proton transfer process at both levels of theory. The contribution of the relaxation energy and the total four-body energy to the binding energy of the complex is greater at the MP2 level than at the B3LYP level. Significant differences are found between the relaxation energies, the hydronium–water interaction energies and the four-body interaction energies at the B3LYP and MP2 levels.     

An assessment to evaluate the validity of different methods for the description of some corrosion inhibitors

New research and development efforts using computational chemistry in studying an assessment of the validity of different quantum chemical methods to describe the molecular and electronic structures of some corrosion inhibitors were introduced. The standard and the highly accurate CCSD method with 6-311++G(d,p), ab initio calculations using the HF/6-31G++(d,p) and MP2 with 6-311G(d,p), 6-31++G(d,p), and 6-311++G(2df,p) methods as well as DFT method at the B3LYP, BP86, B3LYP*, M06L, and M062x/6-31G++(d,p) basis set level were performed on some triazole derivatives and sulfur containing compounds used as corrosion inhibitors. Quantum chemical parameters, such as the energy of the highest occupied molecular orbital energy (E_HOMO), the energy of the lowest unoccupied molecular orbital energy (E_LUMO), energy gap (ΔE), dipole moment (μ), sum of total negative charges (TNC), chemical potential (Pi), electronegativity (χ), hardness (η), softness (σ), local softness (s), Fukui functions (f ⁺,f ^?), electrophilicity (ω), the total energy change (?E_T) and the solvation energy (S.E), were calculated. Furthermore, the accuracy and the applicability of these methods were estimated relative to the highest accuracy and standard CCSD with 6-311++G(d,p) method. Good correlations between the quantum chemical parameters and the corresponding inhibition efficiency (IE%) were found.     

Theoretical ab initio study of the effects of methylation on structure and stability of G:C Watson-Crick base pair

Methylation of DNA occurs most readily at N(3), N(7), and O(6) of purine bases and N(3) and O(2) of pyrimidines. Methylated bases are continuously formed through endogenous and exogenous mechanisms. The results of a theoretical ab initio study on the methylation of G:C base pair components are reported. The geometries of the local minima were optimized without symmetry restrictions by the gradient procedure at DFT level of theory and were verified by energy second derivative calculations. The standard 6-31G(d) basis set was used. The single-point calculations have been performed at the MP2/6-31G(d,p), MP2/6-31++G(d,p), and MP2/6-311++G(2d,2p) levels of theory. The geometrical parameters, relative stability and counterpoise corrected interaction energies are reported. Also, using a variation-perturbation energy decomposition scheme we have found the vital contributions to the total interaction energy.     

Quantum-chemical investigation of the elementary molecular mechanisms of pyrimidine-purine transversions

Purine-purine mispairs of DNA (thus involving template base in anti-conformation along the glycosidic bond and base of the incoming nucleotide - in syn-conformation) leading to pyrimidine-purine "transversions"-type point mutations were revealed and characterized at the MP2/6-311++G(2df,pd)//B3LYP/6-311++G(d,p) level of theory in vacuum approach adequately modeling hydrophobic environment of the active centre of high-fidelity replicative DNA-polymerases.     

Molecular structure,vibrational spectra and HOMO,LUMO analysis of 4-piperidone by density functional theory and ab initio Hartree–Fock calculations

Vibrational frequencies and geometrical parameters of 4-piperidone (4-PID) in the ground state have been calculated by using the Hartree–Fock (HF) and density functional methods (B3LYP) with 6-311++G(d,p) and 6-311+G(3df,2p) basis sets. These methods are proposed as a tool to be applied in the structural characterisation of 4-PID (C₅H₉NO). The title molecule has C _s point group symmetry, thus providing useful support in the interpretation of experimental IR and Raman data. The DFT-B3LYP/6-311+G(3df,2p) calculations have been found more reliable than the ab initio HF/6-311++G(d,p) calculations for the vibrational study of 4-PID. The calculated highest occupied molecular orbital and lowest unoccupied molecular orbital energies show that charge transfer occurs within the molecule. The theoretical spectrograms for FT-IR and FT-Raman spectra of the title molecule have been constructed.     

A B3LYP and MP2 theoretical investigation into host-guest interaction between calix[4]arene and Li+ or Na+

The DFT-B3LYP and MP2 methods with 6-311G** and 6-311++G** basis sets have been applied to study the complexation energies of the host-guest complexes between the cone calix[4]arene and Li⁺ or Na⁺ on the B3LYP optimized geometries. A comparison of the complexation energies obtained from the MP2(full) with those from MP2(fc) method is also carried out. The result shows that it is essential to introduce the diffuse basis set into the geometry optimizations and complexation energy calculations of the alkali-metal cation-π interaction complexes of calix[4]arene, and the D _e values show a maximum of 21.13 kJ mol⁻¹ (14.45% of relative error) between the MP2(full)/6-311++G** and MP2(fc)/6-311++G** method. For Li⁺ cation, the complexation is mainly energetically stabilized by the lower rim/cation (namely O–Li⁺) interaction. However, binding energies and NBO analyses confirm that Na⁺ cation prefers to enter the calix[4]arene cavity and the cation-π interaction is predominant, which contradicts the previous low-level theoretical studies. Furthermore, the complexation with Li⁺ is preferred over that with Na⁺ by at least 12.70 kJ mol⁻¹ at MP2(full)/6-311++G**//B3LYP/6-311++G** level.      

Zwitterionic conformers of pyrrolysine and their interactions with metal ions—a theoretical study

A total of 16 pyrrolysine conformers in their zwitterionic forms are studied in gas and simulated aqueous phase using a polarizable continuum model (PCM). These conformers are selected on the basis of our study on the intrinsic conformational properties of non-ionic pyrrolysine molecule in gas phase [Das and Mandal (2013) J Mol Model 19:1695?1704]. In aqueous phase, the stable zwitterionic pyrrolysine conformers are characterized by full geometry optimization and vibrational frequency calculations using B3LYP/6-311++G(d,p) level of theory. Single point calculations are also carried out at MP2/6-311++G(d,p) level. Characteristic intramolecular hydrogen bonds present in each conformer, their relative energies, theoretically predicted vibrational spectra, rotational constants and dipole moments are systematically reported. The calculated relative energy range of the conformers at B3LYP/6-311++G(d,p) level is 5.19 kcal mol^?1 whereas the same obtained by single point calculations at MP2/6-311++G(d,p) level is 4.58 kcal mol^?1. A thorough analysis reveals that four types of intramolecular H-bonds are present in the conformers; all of which play key roles in determining the energetics and in imparting the observed conformations to the conformers. The vibrational frequencies are found to shift invariably toward the lower side of frequency scale corresponding to the presence of the H-bonds. This study also points out that conformers with diverse structural motifs may differ in their thermodynamical stability by a narrow range of relative energy. The effects of metal coordination on the relative stability order and structural features of the conformers are examined by complexing five zwitterionic conformers of pyrrolysine with Cu⁺² through their carboxylate groups. The interaction enthalpies and Gibbs energies, rotational constants, vibrational frequencies and dipole moments of the metal complexes calculated at B3LYP level are also reported. The zwitterionic conformers of pyrrolysine are not stable in gas phase; after geometry optimization they are converted to the non-ionic forms.     

Ab initio and DFT study of the inner mechanism and dynamic stereochemistry of electrophilic addition reaction of bromine to bisbenzotetracyclo[6.2.2.23,6.02,7]tetradeca-4,9,11,13-tetraene

The inner mechanism and dynamic stereochemistry of electrophilic addition of bromine to bisbenzotetracyclo[6.2.2.2(3,6).0(2,7)]tetradeca-4,9,11,13-tetraene(BBTT) molecule have been investigated by the methods of quantum chemistry. The structure of the BBTT molecule has been studied by ab initio and DFT/B3LYP methods using the 6-31G(d) and 6-311G(d) basis sets. The double bonds of BBTT molecule are endo-pyramidalized. The structure and stability of the cationic intermediates and products of the addition reaction have been investigated by HF/6-311G(d), HF/6-311G(d,p), B3LYP/6-311G(d) and B3LYP/6-311++G(2d,p)//B3LYP/6-311G(d) methods. The bridged bromonium cation isomerized into the more stable nonclassical delocalized N- and U-type cations and the difference between the stability of these cations is small. For the determination of the direction of addition reaction and the stereochemistry of the products, the stability of nonclassical delocalized N- and U-type ions and the structure of their cationic centres play a vital role. Since the cationic centre of the N-type ion is in interaction with the benzene ring from the exo face, the nucleofilic attackof the bromide anion to this centre occurs from the endo face and the exo,endo-isomer of the N-type product is obtained. The attack of bromide anion, towards the cationic centre of U-type ion from the endo face is sterically hindered by the hydrogen atom therefore the attack occurs from the exo face, which interacts with the benzene ring and the more stable exo,exo-isomer of U-type product is formed. Although, the U-type cation was 2.232 kcal mol(-1) more stable than the N-type cation, the U-type product was 0.587 kcal mol(-1) less stable than the N-type product.     

H-bonded complexes between acetylacetone and two molecules of methanol: HF and DFT level study

Five stable H-bonded complexes (supersystems) between acetylacetone and two methanol molecules were investigated at the B3LYP and HF levels of theory using the 6-311G** and 6-11++G** basis sets. The most stable complex was found as the one with the highest relative bonding and interaction energies. All vibrational frequencies resulting from calculations with the 6-311++G** basis set were compared with the recorded IR spectrum of acetylacetone/methanol mixture in a molar ratio 1:2.     

Formation of the Vilsmeier-Haack complex: the performance of different levels of theory

Because of discrepancies in the available experimental data, an extensive theoretical investigation of the formation of the Vilsmeier-Haack (VH) complex has been carried out. The barriers to complex formation calculated using eight different density functional methods (BLYP, B2-PLYP, B3LYP, B3PW91, MPW1K, M06-2X, and PBE1PBE), MP2, and extrapolation techniques (CBS-QB3, G3B3) with several basis sets (6 − 31 + G**, 6 − 311++G**, 6 − 311 + (3df,2p), aug-cc-pVDZ, and aug-cc-pVTZ) were compared with experimental data. For the overall reaction, MP2/aug-cc-pVDZ and M06-2X/6−31 + G(d,p) perform best compared to the CBS techniques. The results help clarify some open mechanistic questions.     

Theoretical investigations into the intermolecular hydrogen-bonding interactions of <Emphasis Type="Italic">N</Emphasis>-(hydroxymethyl)acetamide dimers

The structures of the N-(hydroxymethyl)acetamide (model molecule of ceramide) dimers have been fully optimized at B3LYP/6–311++G** level. The intermolecular hydrogen bonding interaction energies have been calculated using the B3LYP/6–311++G**, B3LYP/6–311++G(2df,2p), MP2(full)/6–311++G** and MP2(full)/6–311++G(2df,2p) methods, respectively. The results show that the O–H···O, N–H···O, O–H···N, and C–H···O hydrogen bonding interactions could exist in N-(hydroxymethyl)acetamide dimers, and the O–H···O, N–H···O, and O–H···N hydrogen bonding interactions could be stronger than C–H···O. The three-dimensional network structure formed by ceramide molecules through intermolecular hydrogen bonding interactions may be the main reason why the stratum corneum of skin could prevent foreign substances from entering our body, as is in accordance with the experimental results. The stability of hydrogen-bonding interactions follow the order of (a)?>?(b)?≈?(c)?>?(d)?>?(e)?≈?(f)?>?(g)?>?(h). The analyses of the energy decomposition, frequency, atoms in molecules (AIM), natural bond orbital (NBO), and electron density shift are used to further reveal the nature of the complex formation. In the range of 263.0–328.0 K, the complex is formed via an exothermic reaction, and the solvent with lower temperature and dielectric constant is favorable to this process.

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Graphical abstract The structures and the O–H···O=C, N–H···O=C and C–H···O=C H-bonding interactions in the N-(hydroxymethyl)acetamide (model molecule of ceramide) dimers were investigated using the B3LYP and MP2(full) methods.

     

The 5'-deoxyadenylic acid molecule conformational capacity: quantum-mechanical investigation using density functional theory (DFT)

Exhaustive conformational analysis of the 5'-deoxyadenylic acid molecule, has been carried out by the quantum-mechanical density functional theory method at the MP2/6-311++G(d,p)//DFT B3LYP/6-31G(d,p) theory level. As many as 726 of its conformations have been revealed with the relative gas phase Gibbs energies under standard conditions from 0 to 12.1 kcal/mole. It has been shown, that the energetically most favorable conformation has north sugar puckering and synorientation of the nitrogenous base and is stabilized by intramolecular O(p1)H(p1)-N3 and O3'H-O(p) hydrogen bonds. Four conformations have been shown to have their geometry similar to that of AI-DNA and four - of BI-DNA. One conformer of the 5'-deoxyadenylic acid molecule is similar to its sodium salt hexahydrate structure in crystalline state resolved by the X-ray diffraction method and taken from literature. It is shown that effective charges of C4' and C5' atoms are the most sensitive to the molecule conformation ones. The role of the intramolecular OH-N hydrogen bonds in formation of the 5'-deoxyadenylic acid molecule structure has been demonstrated.