A computer-aided quantum chemical study of the N<Stack><Subscript>15</Subscript><Superscript>−</Superscript></Stack> cluster

Ab initio (RHF, MP2) and Density Functional Theory (DFT) methods have been used to examine six isomers of the N15m cluster with the 6-31+G* basis set. Different from the known odd-numbered anionic N7m, N9m, and N11m clusters, in which the open-chain structures are the most stable species, the most stable N15m isomer is structure 1 (C1), which may be considered as a complex between the fragments cyclic N5m (D5h) and staggered N10 (D2d). The decomposition pathways of structure 2 (CS), containing two aromatic N5 rings connected by a N5 chain, and the open-chain structure 3 (C2v) were studied at the B3LYP/6-31+G* level of theory. Relative energies were refined at the level of B3LYP/6-311+G(3df,2p)//B3LYP/6-31+G*+ZPE (B3LYP/6-31+G*). The barriers for N2 and N5m (D5h) fission reactions for structure 2 are predicted to be 18.2 and 14.2 kcal x mol(-1), respectively. The corresponding N2+N3m fission barrier for structure 3 is predicted to be 11.2 kcal x mol(-1). Supplementary material is available for this article if you access the article at http://dx.doi.org/10.1007/s00894-003-0118-0. A link in the frame on the left on that page takes you directly to the supplementary material. Figure Structure 1 of the N15m cluster, showing bond distances in A and bond angles in degrees     

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.     

Study of the hydrogen bond in different orientations of adenine-thymine base pairs: An <Emphasis Type="Italic">ab initio</Emphasis> study

In order to gain deeper insight into structure, charge distribution, and energies of A-T base pairs, we have performed quantum chemical ab initio and density functional calculations at the HF (Hartree-Fock) and B3LYP levels with 3-21G*, 6-31G*, 6-31G**, and 6-31++G** basis sets. The calculated donor-acceptor atom distances in the Watson-Crick A-T base pair are in good agreement with the experimental mean values obtained from an analysis of 21 high resolution DNA structures. In addition, for further correction of interaction energies between adenine and thymine, the basis set superposition error (BSSE) associated with the hydrogen bond energy has been computed via the counterpoise method using the individual bases as fragments. In the Watson-Crick A-T base pair there is a good agreement between theory and experimental results. The distances for (N2...H23-N19), (N8-H13...O24), and (C1...O18) are 2.84, 2.94, and 3.63 A, respectively, at B3LYP/6-31G** level, which is in good agreement with experimental results (2.82, 2.98, and 3.52 A). Interaction energy of the Watson-Crick A-T base pair is -13.90 and -10.24 kcal/mol at B3LYP/6-31G** and HF/6-31G** levels, respectively. The interaction energy of model (9) A-T base pair is larger than others, -18.28 and -17.26 kcal/mol, and for model (2) is the smallest value, -13.53 and -13.03 kcal/mol, at B3LYP/6-31G** and B3LYP/6-31++G** levels, respectively. The computed B3LYP/6-31G** bond enthalpies for Watson-Crick A-T pairs of -14.4 kcal/mol agree well with the experimental results of -12.1 kcal/mol deviating by as little as -2.3 kcal/mol. The BSSE of some cases is large (9.85 kcal/mol) and some is quite small (0.6 kcal/mol).     

Evaluation of several economical computational methods for geometry optimization of phosphorus acid derivatives

Several economical methods for geometry optimisation, applicable to larger molecules, have been evaluated for phosphorus acid derivatives. MP2/cc-pVDZ and B3LYP/6-31+G(d) geometry optimizations are used as reference points, results from geometry optimizations for other methods and their subsequent single point energy calculations are compared to these references. The geometries from HF/MIDI! optimizations were close to those of the references and subsequent single point energies with B3LYP/6-31+G(d,p) or EDF1/6-31+G(d) gave a mean average deviation (MAD) of less than 0.5 kcal mol-1 from those obtained with the reference geometries.     

EVALUATION OF SEVERAL ECONOMICAL COMPUTATIONAL METHODS FOR GEOMETRY OPTIMISATION OF PHOSPHORUS ACID DERIVATIVES

Several economical methods for geometry optimisation, applicable to larger molecules, have been evaluated for phosphorus acid derivatives. MP2/cc-pVDZ and B3LYP/6-31+G(d) geometry optimisations are used as reference points, results from geometry optimisations for other methods and their subsequent single point energy calculations are compared to these references. The geometries from HF/MIDI! optimisations were close to those of the references and subsequent single point energies with B3LYP/6-31+G(d,p) or EDF1/6-31+G(d) gave a mean average deviation (MAD) of less than 0.5 kcal mol^?1 from those obtained with the reference geometries.     

An ONIOM investigation on anion recognition of alkali–metal complexes with diurea calix[4]arene receptor

The ONIOM(B3LYP/6-31G(d):AM1) optimized structures of complexes of diurea calix[4]arene receptor (L) with alkali metals Li(+), Na(+) and K(+) and their complexes with halide ions F(-), Cl(-), Br(-), oxygen-containing anions HCO(3)(-), HSO(4)(-) and CH(3)COO(-) ions were obtained. Binding energies and thermodynamic properties of complex receptors LiL(+), NaL(+) and KL(+) with these anions were determined. The binding stabilities according to binding energies of LiL(+), NaL(+) and KL(+) associated with anions computed either at the ZPVE-corrected ONIOM(B3LYP/6-31G(d):AM1) or BSSE-corrected B3LYP/6-31 + G(d,p)//ONIOM(B3LYP/6-31G(d):AM1) are in the same order: F(-) > CH(3)COO(-) ≈ HCO(3)(-) > Br(-) ≈ HSO(4)(-) ≈ Cl(-). All the receptors LiL(+), NaL(+) and KL(+) were found to be selective toward fluoride ion.     

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.     

Fluoro-substitution effects in deoxyfluoro-D-glucose derivatives: random conformational search and quantum chemical calculation

The effect of substitution by the fluorine atom at different positions of D-glucose was investigated by quantum chemical calculation of the low-energy conformers. These were obtained through the Random conformational search method. The geometries of conformers were optimized at the RHF/6-31(d) level, then reoptimization and vibrational analysis were performed at the B3LYP/6-31+G(d) level. Single-point energies were calculated at the B3LYP/6-311++G(2d,2p) level. The free energies of solvation in water were calculated utilizing the AM1-SM5.4 solvation model. For all substitution positions, the ring conformation does not change much, and the pyranoid 4C1 conformers are dominant, while variations in the substitution site result in different effects in the network of hydrogen bonds, anomeric effect, the solvation free energy, and the ratio of alpha- and beta-anomers.     

Computational study of decomposition mechanisms and thermodynamic properties of molecular-type cracking patterns for the highly energetic molecule GZT

This study uses the Gaussian 03 program and density functional theory B3LYP with three basis set methods—[B3LYP/6-311+G(d,p), B3LYP/6-31+G(2d,p), and B3LYP/6-31G(d,p)]—to model the highly energetic ionic compound diguanidinium 5,5′-azotetrazolate (GZT) to research its decomposition mechanisms and thermodynamic properties. Molecular-type cracking patterns are proposed, which were initiated by heterocyclic ring opening, sequential cracking of the two five-membered rings of GZT, and simultaneous release of N₂ molecules; whereas proton transfer, bond-breaking, and atomic rearrangements were performed subsequently. Finally, 15 reaction paths and five transition states were obtained. All possible decomposition species and transition states, including intermediates and products, were identified, and their corresponding enthalpy and Gibbs free energy values were obtained. The results revealed that (1) the maximum activation energy required is 187.8 kJ mol^–1, and the enthalpy change (ΔH) and Gibbs free-energy change (ΔG) of the net reaction are ?525.1 kJ mol^–1 and ?935.6 kJ mol^–1, respectively; (2) GZT can release large amounts of energy, the main contribution being from the disintegration of the 5,5'-azotetrazolate anion (ZT^2?) skeleton (ΔH?=??598.3 kJ mol^–1); and (3) the final products contained major amounts of N₂ gas, but remaining gas molecules such as HCN and NH₃ were obtained, which are in agreement with experimental results. The detailed decomposition simulation results demonstrated the feasibility of this method to calculate the energies of the thermodynamic reactions for the highly energetic GZT and predict the most feasible pathways and the final products.     

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.     

Density functional computations of enantioselective alkynylation of aldehyde catalyzed by chiral zinc(II)-complexes

The enantioselective alkynylation of aldehyde catalyzed by chiral zinc(II)-complexes was studied by means of the density functional theory (DFT). All the structures were optimized completely at the B3LYP/6-31G(d,p) level. To obtain more exact energies, single-point energy calculations at B3LYP/6-31+G(d,p) level were carried out on the B3LYP/6-31G(d,p) geometries. As shown, this enantioselective alkynylation was endothermic. The chirality-determining step for the alkynylation was the formation of the catalyst–ethanol complexes and the transition states for this step involved a six-membered ring. The dominant products predicted theoretically were of (R)-chirality, in good agreement with experiment.      

Density functional theory study of N-H...O, O-H...O and C-H...O hydrogen-bonding effects on the 14N and 2H nuclear quadrupole coupling tensors of N-acetyl-valine

Hydrogen-bonding effects in the crystalline structure of N-acetyl-valine, NAV, were studied using the (14)N and (2)H quadrupole coupling tensors via density functional theory. The calculations were carried out at the B3LYP level with the 6-311++G(d,p) and 6-311+G(d) basis sets. The theoretical quadrupole coupling components and their relative orientation in the molecular frame axes at the nitrogen site are compared to experimental values. This nucleus is involved in a rather strong intermolecular O=CNH...O=CNH hydrogen bond, r(N-H...O(1))=2.04 A and angleN-H...O(1)=171.53 degrees. A reasonably good agreement between the experimentally obtained (2)H quadrupole coupling tensors and the B3LYP/6-311++G(d,p) calculations is achievable only in molecular model where a complete hydrogen-bonding network is considered.     

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 on the thermal decomposition of model compounds for Poly (dialkyl fumarate)

The thermal decomposition of model compounds for poly (dialkyl fumarate) was studied by using ab initio and density functional theory (DFT) calculations. To determine the most favorable reaction pathway of thermal decomposition, geometries, structures, and energies were evaluated for reactants, products, and transition states of the proposed pathways at the HF/6-31G(d) and B3LYP/6-31G(d) levels. Three possible paths (I, II and III) and subsequent reaction paths (IV and V) for the model compounds of poly (dialkyl fumarate) decomposition had been postulated. It has been found that the path (I) has the lowest activation energy 193.8 kJ mol⁻¹ at B3LYP/6-31G(d) level and the path (I) is considered as the main path for the thermal decomposition of model compounds for poly (dialkyl fumarate).      

QM/MM study of energy storage and molecular rearrangements due to the primary event in vision

The energy storage and the molecular rearrangements due to the primary photochemical event in rhodopsin are investigated by using quantum mechanics/molecular mechanics hybrid methods in conjunction with high-resolution structural data of bovine visual rhodopsin. The analysis of the reactant and product molecular structures reveals the energy storage mechanism as determined by the detailed molecular rearrangements of the retinyl chromophore, including rotation of the (C11-C12) dihedral angle from -11 degrees in the 11-cis isomer to -161 degrees in the all-trans product, where the preferential sense of rotation is determined by the steric interactions between Ala-117 and the polyene chain at the C13 position, torsion of the polyene chain due to steric constraints in the binding pocket, and stretching of the salt bridge between the protonated Schiff base and the Glu-113 counterion by reorientation of the polarized bonds that localize the net positive charge at the Schiff-base linkage. The energy storage, computed at the ONIOM electronic-embedding approach (B3LYP/6-31G*:AMBER) level of theory and the S0-->S1 electronic-excitation energies for the dark and product states, obtained at the ONIOM electronic-embedding approach (TD-B3LYP/6-31G*//B3LYP/6-31G*:AMBER) level of theory, are in very good agreement with experimental data. These results are particularly relevant to the development of a first-principles understanding of the structure-function relations in prototypical G-protein-coupled receptors.     

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.     

Tautomeric energetics of xanthine oxidase substrates: xanthine, 2-oxo-6-methylpurine, and lumazine

The stability of the tautomers of each of the three important substrates of xanthine oxidase, xanthine, 2-oxo-6-methylpurine, and lumazine, was examined by quantum mechanical calculations. The geometries of these tautomers were optimized at the AM1, Hartree-Fock (HF/6-31G), and hybrid Hartree-Fock/density functional theory (B3LYP/6-31G(d)) levels of theory. The single point energies of some of the more stable tautomers for each of the substrates were calculated at the B3LYP/6-311 +G(2d,p) level of theory. The Conductor Polarized Continuum Model (CPCM) was used to evaluate the solvent effects on the relative stabilities of these tautomers. The calculations clearly identify the lowest energy tautomeric form for xanthine and lumazine. On the other hand, there appear to be three tautomers for 2-oxo-6-methylpurine, with only minor energetic differences in vacuo. In water, however, only one of them predominates. The lowest energy tautomers presumably represent the predominant tautomeric forms at the molybdenum center of xanthine oxidase during catalysis. Implications of these computational results are discussed in the context of enzyme catalysis.     

Ab initio modelling of the structure and redox behaviour of copper(I) bound to a His–His model peptide: relevance to the β-amyloid peptide of Alzheimer’s disease

A contributing factor to the pathology of Alzheimer's disease is the generation of reactive oxygen species, most probably a consequence of the beta-amyloid (Abeta) peptide coordinating copper ions. Experimental and theoretical results indicate that His13 and His14 are the two most firmly established ligands in the coordination sphere of Cu(II) bound to Abeta. Abeta1-42 is known to reduce Cu(II) to Cu(I). The Abeta-Cu(II) complex has been shown to catalytically generate H(2)O(2) from reducing agents and O(2). Cu(II) in the presence of Abeta has been reported to have a formal reduction potential of +0.72-0.77 V (vs. the standard hydrogen electrode). Quantum chemical calculations using the B3LYP hybrid density functional method with the 6-31G(d) basis set were performed to model the reduction of previously studied Cu(II) complexes representing the His13-His14 portion of Abeta (Raffa et al. in J. Biol. Inorg. Chem. 10:887-902, 2005). The effects of solvation were accommodated using the CPCM method. The most stable complex between Cu(I) and the model compound, 3-(5-imidazolyl)propionylhistamine (1) involves tricoordinated Cu(I) in a distorted-T geometry, with the Npi of both imidazoles as well as the oxygen of the backbone carbonyl bound to copper. This model would be the most likely representation of a Cu(I) binding site for a His-His peptide in aqueous solution. A variety of possible redox processes are discussed.