Computational Study of the Sulfonylated Amino Acid Hydroxamates Binding to the Zinc Ion within the Active Site of Carbonic Anhydrase

Abstract

The B3LYP/6–311+G(d,p) method and three ONIOM extrapolation methods ONI-OM (B3LYP/6–311+G(d,p): AM1); ONIOM(B3LYP/6–311+G(d,p): MNDO); ONIOM (B3LYP/6–311+G(d,p): HF/3-21G(d)) were used to characterize the complexes of Zn²⁺ cation with anionic sulfonylated amino acid hydroxamates (RSO₂NH-AA-CON(-)OH), possessing an unsubstituted RSO₂NH—amino acyl moiety. According to the R moiety we distinguish between pentafluorophenyl and 4-methoxyphenyl derivates. The amino acid hydroxamates included in the study were the Gly, Ala, and Leu derivates. Of the inhibitors investigated, the weakest zinc affinity exhibits the pentafluorophenyl derivate with Gly amino acid and the strongest affinity the 4-methoxyphenyl derivate with Leu amino acid. The inhibitors form bidentate coordination bonds with the zinc cation by means of the sulfonyl oxygen and the ionized hydroxamate nitrogen atoms, respectively. The zinc affinities computed using the B3LYP/6–311 +G(d,p)//HF/6–31 +G(d,p) method are in very good agreement with the full density functional theory (DFT) B3LYP/6–311+G(d,p)//B3LYP/6- 311+G(d,p) method and this method can be adopted to model larger complexes of inhibitors with the active site of carbonic anhydrase.     

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.     

Absolute configuration of (−)-myrtenal by vibrational circular dichroism

The VCD spectrum of the monoterpene (−)-myrtenal (1) was compared with theoretical spectra using ab initio density functional theory (DFT) calculations at the B3LYP/6-31G(d,p), B3LYP/6-31G+(d,p), B3LYP/6-311G+(d,p), B3LYP/DGDZVP, and B3PW91/DGTZVP levels of theory. Conformational analysis of 1 indicated that the lowest energy conformer was s-trans-C2-C10, which contributes more than 98.5% to the total conformational population regardless of the employed level of theory. The use of a recently developed confidence level algorithm demonstrated that VCD spectra calculated for the main conformer, using the indicated hybrid functionals and basis set, gave no significant changes, from where it follows that B3LYP/DGDZVP calculations provide a superior balance between computer cost and VCD spectral accuracy. The DGDZVP basis set demanded around a quarter the time than the 6-311G+(d,p) basis set while providing similar results. The spectral comparison also provided evidence that the levorotatory enantiomer of myrtenal has the 1R absolute configuration.     

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.     

Conformational preferences of α,α-trehalose in gas phase and aqueous solution

This work presents an investigation on the conformational preferences of α,α-trehalose in gas phase and aqueous solution. Eighty-one systematically selected structures were studied at the B3LYP/6-311++G(d,p)//B3LYP/6-31G(d) level, giving rise to 40 unique conformers. The 19 lower energy structures and some selected other were further re-optimized at the B3LYP/6-311++G(d,p) level. The main factors accounting for the conformer’s stability were pointed out and discussed. NBO and QTAIM analyses were performed in some selected conformers in order to address the anomeric and exo-anomeric effects as well as intramolecular hydrogen bonding. The effect of solvent water on the relative stability of the conformers was accounted for by applying the conductor-like polarizable continuum model, CPCM.     

Density functional theory characterisation of 4-hydroxyazobenzene

We report the structural properties, infrared (IR) and Raman spectra, dipole moment, polarisability, hardness and chemical potential of the trans and cis configurations of 4-hydroxyazobenzene calculated using the B3LYP functionals. All calculations were performed with the following basis sets: 6–31G, 6–31++G, 6–31G(d,p), 6–31++G(d,p), 6–31G(2d,2p), 6–31++G(2d,2p) and 6–311++G(2d,2p). We observed that 6–31++G(d,p) gives similar results to 6–311++G(2d,2p). Consequently, SVWN and PW91 methods were also used in association with 6–31++G(d,p) to test the influence of the different models of exchange and correlation functionals. A planar structure was obtained for all the optimised trans configuration structures. In both isomers, the presence of the hydroxyl group leads to an asymmetry in certain structural parameters. From these results, two IR or Raman active frequencies can be used to easily distinguish trans and cis configurations. The trans configuration was found to be more stable than the cis configuration by 67 ± 2 kJ mol⁻¹ at 0 K. The difference of the dipole moment between trans and cis for 4-hydroxyazobenzene was found to be lower than for trans and cis azobenzene.     

ONIOM DFT/PM3 calculation on the interaction between STI-571 and abelson tyrosine kinase

The ONIOM2 (B3LYP/6–31G (d, p): PM3) and B3LYP/6–31G (d, p) methods were applied to investigate the interaction between STI-571 and abelson tyrosine kinase binding site. The complex of N-[4-methyl-3-(4-pyridin-3-yl-pyrimidin-2-ylamino)- phenyl]-benzamide (part of STI-571) and related 16 amino acid residues were found at B3LYP/6–31G (d, p) level to have hydrogen bonds and π....π stacking interaction, their binding energy via HAF optimization was −20.4 kcal mol⁻¹. The results derived from this study agreed well with the reported observation. Figure Optimized structure of STI-571 and Thr315 in abelson tyrosine kinase based on ONIOM2 method     

DFT studies on the intrinsic conformational properties of non-ionic pyrrolysine in gas phase

B3LYP/6-31G(d,p) level of theory is used to carry out a detailed gas phase conformational analysis of non-ionized (neutral) pyrrolysine molecule about its nine internal back-bone torsional angles. A total of 13 minima are detected from potential energy surface exploration corresponding to the nine internal back-bone torsional angles. These minima are then subjected to full geometry optimization and vibrational frequency calculations at B3LYP/6-31++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. Single point calculations are carried out at B3LYP/6-311++G(d,p) and MP2/6-31++G(d,p) levels. Six types of intramolecular H-bonds, viz. O…H–O, N…H-O, O…H–N, N…H–N, O…H–C and N…H–C, are found to exist in the pyrrolysine conformers; all of which contribute to the stability of the conformers. The vibrational frequencies are found to shift invariably toward the lower side of frequency scale corresponding to the presence of intramolecular H-bond interactions in the conformers.     

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.      

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.     

<Emphasis Type="Italic">Ab initio</Emphasis> DFT study of bisphosphonate derivatives as a drug for inhibition of cancer: NMR and NQR parameters

DFT computations were carried out to characterize the ¹⁷Oand ²H electric field gradient, EFG, in various bisphosphonate derivatives. The computations were performed at the B3LYP level with 6-311++G (d,P) standard basis set. Calculated EFG tensors were used to determine the ¹⁷O and ²H nuclear quadrupole coupling constant, χ and asymmetry parameter, η. For better understanding of the bonding and electronic structure of bisphosphonates, isotropic and anisotropic NMR chemical shieldings were calculated for the ¹³C, ¹⁷O and ³¹P nuclei using GIAO method for the optimized structure of intermediate bisphosphonates at B3LYP level of theory using 6-311++G (d, p) basis set. The results showed that various substituents have a strong effect on the nuclear quadrupole resonance (NQR) parameters (χ, η) of ¹⁷O in contrast with ²H NQR parameters. The NMR and NQR parameters were studied in order to find the correlation between electronic structure and the activity of the desired bisphosphonates. In addition, the effect of substitutions on the bisphosphonates polarity was investigated. Molecular polarity was determined via the DFT calculated dipole moment vectors and the results showed that substitution of bromine atom on the ring would increase the activity of bisphosphonates.     

Racemization of the gastrointestinal antisecretory chiral drug esomeprazole magnesium via the pyramidal inversion mechanism: A theoretical study

The pyramidal inversion mechanisms of the 6‐methoxy and the 5‐methoxy tautomers of (S)‐omeprazole were studied, employing ab initio and DFT methods. The conformational space of the model molecule (S)‐2‐[(3‐methyl‐2‐pyridinyl)methyl]sulfinyl‐1H‐benzimidazole was calculated, with respect to rotations around single bonds, at the B3LYP/6‐311G(d,p) level. All of the resulting conformations were used as starting points for full optimizations of (S)‐omeprazole, at B3LYP/6‐31G(d), B3LYP/6‐311G(d,p), B3LYP/6‐311++G(d,p), B3LYP/6‐311G(2df,2pd), MP2/6‐31G(d), and MP2/6‐311G(d,p) levels. Four distinct pathways were found for enantiomerization via the pyramidal inversion mechanism for each of the tautomers of (S)‐omeprazole. Each transition state, in which the sulfur, the oxygen and the two carbon atoms connected directly to the sulfur are in one plane, connects two diastereomeric minima. The enantiomerization is completed by free rotation around the sulfur–methylene bond, and around the methylene–pyridine ring bond. The effective Gibbs' free energy barrier for racemization ΔG of the two tautomers of (S)‐omeprazole are 39.8 kcal/mol (5‐methoxy tautomer) and 40.0 kcal/mol (6‐methoxy tautomer), indicating that the enantiomers of omeprazole are stable at room temperature (in the gas phase). The 5‐methoxy tautomer of (S)‐omeprazole was found to be slightly more stable than the 6‐methoxy tautomer, in the gas phase. The energy barrier (ΔG^?) for the(S,M) (S,P) diastereomerization of (S)‐omeprazole due to the rotation around the pyridine chiral axis was very low, 5.8 kcal/mole at B3LYP/6‐311G(d,p). Chirality 2010. © 2010 Wiley‐Liss, Inc.     

Ionic interactions for substituted MCH1R inhibitors studied by pKa values

MCH1R inhibitors with the quinoline moiety having the aromatic amine and aliphatic amine chain were selected, and then the effect of substituents of the quinoline ring on the ionic interaction were studied by calculating pK_a values for these amines at the B3LYP/6-311++G(d,p)//B3LYP/6-31+G(d) level in the gas phase and in water. For substituent with C, N, O, and S atoms next to the quinoline ring, respectively, the pK_a values of aromatic amines are estimated to be 8.98, 12.19, 4.64, and 4.33 and those of the aliphatic amines are 12.65, 10.82, 9.94, and 11.55, respectively.     

Low-energy conformers of pamidronate and their intramolecular hydrogen bonds: a DFT and QTAIM study

Extensive DFT and ab initio calculations were performed to characterize the conformational space of pamidronate, a typical pharmaceutical for bone diseases. Mono-, di- and tri-protic states of molecule, relevant for physiological pH range, were investigated for both canonical and zwitterionic tautomers. Semiempirical PM6 method were used for prescreening of the single bond rotamers followed by geometry optimizations at the B3LYP/6-31++G(d,p) and B3LYP/6-311++G(d,p) levels. For numerous identified low energy conformers the final electronic energies were determined at the MP2/6-311++G(2df,2p) level and corrected for thermal effects at B3LYP level. Solvation effects were also considered via the COSMO and C-PCM implicit models. Reasonable agreement was found between bond lengths and angle values in comparison with X-ray crystal structures. Relative equilibrium populations of different conformers were determined from molecular partition functions and the role of electronic, vibrational and rotational degrees of freedom on the stability of conformers were analyzed. For no level of theory is a zwitterionic structure stable in the gas-phase while solvation makes them available depending on the protonation state. Geometrically identified intramolecular hydrogen bonds were analyzed by QTAIM approach. All conformers exhibit strong inter-phosphonate hydrogen bonds and in most of them the alkyl-amine side chain is folded on the P-C-P backbone for further hydrogen bond formation.

Density-functional study on the equilibria in the ThDP activation

The equilibria among the various ionization and tautomeric states involved in the activation of ThDP is addressed using high level density functional theory calculations, X3LYP/6-311++G(d,p)//X3LYP(PB)/6-31++G(d,p). This study provides the first theoretically derived thermodynamic data for the internal equilibria in the activation of ThDP. The role of the medium polarity on the geometry and thermodynamics of the diverse equilibria of ThDP is addressed. The media chosen are cyclohexane and water, as paradigms of apolar and polar media. The results suggest that all ionization and tautomeric states are accessible during the catalytic cycle, even in the absence of substrate, being APH⁺ the form required to interconvert the AP and IP tautomers; and the generation of the ylide proceeds via the formation of the IP form. Additionally, the calculated ΔG° values allow to calculate all the equilibrium constants, including the pK_C2 for the thiazolium C2 atom whose ionization is believed to initiate the catalytic cycle.     

Theoretical investigation on the structure and thermodynamic properties of the 2,4-dinitroimidazole complex with methanol

The structure and thermodynamic properties of the 2, 4-dinitroimidazole complex with methanol were investigated using the B3LYP and MP2(full) methods with the 6-31++G(2d,p) and 6-311++G(3df,2p) basis sets. Four types of hydrogen bonds [N–H?O, C–H?O, O–H?O (nitro oxygen) and O–H?π] were found. The hydrogen-bonded complex having the highest binding energy had a N–H?O hydrogen bond. Analyses of natural bond orbital (NBO) and atoms-in-molecules (AIM) revealed the nature of the intermolecular hydrogen-binding interaction. The changes in thermodynamic properties from monomers to complexes with temperatures ranging from 200.0 to 800.0 K were investigated using the statistical thermodynamic method. Hydrogen-bonded complexes of 2,4-dinitroimidazole with methanol are fostered by low temperatures.

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.     

A Comparative Semiempirical, Ab initio and DFT Study of Decarbonylation of Cyclic Ketones Part 1: Thermal Fragmentation of Cyclopropanone

Calculations using different quantum mechanical methods including semiempirical (MNDO,AM1 and PM3), ab initio (RHF and MP2 calculations using the 6-311G and 6-311++G^** basis sets), and density functional theory (LSDA, BP, MIXBP and B3LYP, i.e., B3LYP/6-311+G**//B3LYP/6-31G*) have been performed on the thermal fragmentation of cyclopropanone to ethylene and carbon monoxide. All RHF calculations predict a concerted single step mechanism for this conversion. The estimated activation energies vary from 34.4 to 54.6 kcal·mol^-1, mainly localized around 37±2 kcal·mol^-1, depending on the method. Whereas the calculated RHF reaction energies also varied from 14.5 to -33.3 kcal·mol^-1, the B3LYP/6-311+G**//B3LYP/6-31G* method predicts the experimental value (-17.7 kcal·mol^-1) within experimental uncertainties. Remarkably, semiempirical AM1 and PM3 methods and simple DFT calculations, LSDA, predict comparable results to the more advanced methods. UHF ab initio calculations predict the same single step mechanism, whereas a multistep biradical mechanism with an unrealistically low activation energy is favored by the semiempirical methods. Structures of the activated complex of the single step mechanism, estimated by different methods, are very similar and consistent with a nonlinear cheletropic [_2s + _2a] reaction, as predicted by the orbital symmetry rules and earlier EHT calculations.Electronic Supplementary Material available.     

Comparative theoretical study of the UV/Vis absorption spectra of styrylpyridine compounds using TD-DFT calculations

This study examined absorption properties of 2-styrylpyridine, trans-2-(m-cyanostyryl)pyridine, trans-2-[3-methyl-(m-cyanostyryl)]pyridine, and trans-4-(m-cyanostyryl)pyridine compounds based on theoretical UV/Vis spectra, with comparisons between time-dependent density functional theory (TD-DFT) using B3LYP, PBE0, and LC-ωPBE functionals. Basis sets 6–31G(d), 6–31G(d,p), 6–31+G(d,p), and 6–311+G(d,p) were tested to compare molecular orbital energy values, gap energies, and maxima absorption wavelengths. UV/Vis spectra were calculated from fully optimized geometry in B3LYP/6–311+G(d,p) in gas phase and using the IEFPCM model. B3LYP/6–311+G(d,p) provided the most stable form, a planar structure with parameters close to 2-styrylpyridine X-ray data. Isomeric structures were evaluated by full geometry optimization using the same theory level. Similar energetic values were found: ～4.5 kJ?mol^?1 for 2-styrylpyridine and ～1 kJ?mol^?1 for derivative compound isomers. The 2-styrylpyridine isomeric structure differed at the pyridine group N-atom position; structures considered for the other compounds had the cyano group attached to the phenyl ring m-position equivalent. The energy difference was almost negligible between m-cyano-substituted molecules, but high energy barriers existed for cyano-substituted phenyl ring torsion. TD-DFT appeared to be robust and accurate approach. The B3LYP functional with the 6–31G(d) basis set produced the most reliable λ_max values, with mean errors of 0.5 and 12 nm respect to experimental values, in gas and solution, respectively. The present data describes effects on the λ_max changes in the UV/Vis absorption spectra of the electron acceptor cyano substituent on the phenyl ring, the electron donor methyl substituent, and the N-atom position on the electron acceptor pyridine ring, causing slight changes respect to the 2-styrylpyridine title compound.     

Theoretical study of the reaction mechanism of CH<Subscript>3</Subscript>NO<Subscript>2</Subscript> with NO<Subscript>2</Subscript>, NO and CO: the bimolecular reactions that cannot be ignored

The intriguing decompositions of nitro-containing explosives have been attracting interest. While theoretical investigations have long been concentrated mainly on unimolecular decompositions, bimolecular reactions have received little theoretical attention. In this paper, we investigate theoretically the bimolecular reactions between nitromethane (CH₃NO₂)—the simplest nitro-containing explosive—and its decomposition products, such as NO₂, NO and CO, that are abundant during the decomposition process of CH₃NO₂. The structures and potential energy surface (PES) were explored at B3LYP/6-31G(d), B3P86/6-31G(d) and MP2/6-311?+?G(d,p) levels, and energies were refined using CCSD(T)/cc-pVTZ methods. Quantum chemistry calculations revealed that the title reactions possess small barriers that can be comparable to, or smaller than, that of the initial decomposition reactions of CH₃NO₂. Considering that their reactants are abundant in the decomposition process of CH₃NO₂, we consider bimolecular reactions also to be of great importance, and worthy of further investigation. Moreover, our calculations show that NO₂ can be oxidized by CH₃NO₂ to NO₃ radical, which confirms the conclusion reached formerly by Irikura and Johnson [(2006) J Phys Chem A 110:13974–13978] that NO₃ radical can be formed during the decomposition of nitramine explosives.