The electronic structure of small lithium clusters

Ab initio molecular orbital calculations using the STO-6G and STO6-21G basis sets have been performed for the cluster series Li _n ⁺ , Li _n , and Li _n ^– (wheren=2–7). Thirty-two optimized structures are discussed and reported, many of which (especially for the anionic structures) have not yet been considered. The calculations suggest that for all three species the optimum geometries are planar. Of the two levels of theories that were investigated, STO-6G//STO-6G and STO6-21G//STO-6G, the latter hybrid theory was found to be less reliable. In particular, for the anionic structures these calculations should provide a platform from which more sophisticated, i.e., configuration interaction, geometry optimization can be performed.     

Theoretical studies on pteridines. 2. Geometries,tautomer, ionization and reduction energies of substrates and inhibitors of dihydrofolate reductase

Ab initio SCF calculations with STO-3G and 3-21G basis sets are reported for approximately 85 pteridines of interest to the study of the reaction and inhibition mechanisms of dihydrofolate reductase. These include tautomeric, protonated, deprotonated, reduced and 6-substituted forms of the 2-amino-4-oxo- and 2,4-diamino-pteridines, many of which are not easily amenable to experimental investigation. Full geometry optimizations at the SCF/STO-3G level for 30 such pteridines have been performed. A step-wise computational protocol designed to identify the minimum level of theory necessary for reliable prediction of relative tautomer, reduction and ionization energies has been developed in an effort to minimize the cost of calculations for this reasonably large N-heterobicylic system. In general, SCF/STO-3G results were found to be inadequate while SCF/3-21G results obtained with STO-3G optimized geometries agreed with all available experimental evidence with the exception of the relative acidity of 6-methyl-7,8-dihydropterin. Correlation graphs relating experimental pK_a's to the calculated ionization energies are presented: these are of potential predictive value. An analysis is given of the importance of resonance substructures, such as the guanidinium and extended-guanidinium groups, in stabilizing some preferred tautomeric and ionized forms, and in explaining the observed geometry changes.     

Theoretical study of hydrogen-bonded formaldehyde complexes

The hydrogen-bonded complexes involving formaldehyde and a series of proton donors of varying strengths, have been investigated at different levels of ab initio MO theory. The structures of the studied complexes were SCF optimized at the 6-31G basis set level. The binding energy was estimated employing basis set superposition correction, zero-point vibrations and MP2 correlation contribution at the different basis set: STO-3G; 6-31G; MP2/6-31G; 6-31G**; MP2/6-31G**; 6-311G(2d, 2p) and MP2/6-311G(2d, 2p). Linear relationships were found of the calculated binding energy with: the calculated shift in the carbonyl stretching frequency, the changes in carbonyl bond length and the optimum value of hydrogen-bond distance; furthermore the calculations confirm a parallel trend between the proton-donor ability and the strength of the hydrogen bond.     

Quantum-chemical study on conformations of molecular complexes formed by 2-methyl-1,3,2-dioxaborinane with methylamine

Conformations of 1: 1 molecular complexes of 2-methyl-1,3,2-dioxaborinane with methylamine were studied in terms of restricted Hartree-Fock approximation using STO-3G, 3-21G, and 6-31G(d) bass sets. The results showed possible formation of two types of complexes, one with dative N→B bond, and the other with intermolecular hydrogen bond NH … O. Their relative stability and conformations are determined by both mutual orientation of the components and basis set used.     

Comparison of the use of the MNDO and MINDO/3 methods with ab initio methods to study tautomerism in histamine, 2- and 4-methylhistamine

The semiempirical MNDO and MINDO/3 methods are used to study the various tautomeric forms of histamine, 2-methylhistamine, and 4-methylhistamine. Comparisons of the optimized structures and tautomerization energies are made with values obtained from ab initio Hartree-Fock calculations using the 3-21G and STO-3G basis sets. Based on these results and previous comparisons of STO-3G results with x-ray structures, the present results indicate that while there are some differences in the values of the structural parameters, the changes in structure upon tautomerization and/or protonation are very similar. Further analysis of the MNDO and MINDO/3 structures by means of their utilization in 3-21G and STO-3G calculations indicates that either of these semiempirical methods provides reliable values for the structural parameters. Both methods give good qualitative agreement with the ab initio calculations for the relative energies of the various tautomers in the three compounds. In these studies the MNDO method appears to give better quantitative agreement with the 3-21G and STO-3G results than the MINDO/3 method.     

Quantum-Chemical Investigation of Reaction Mechanism of 2-R-4-Oxo-5,6-Benzo-1,3,2-Dioxaphosphorinanes with Chloral and Fluoral

Abstract

Reaction of 2-R-4-oxo-5,6-benzo-1,3,2-dioxaphosphorinanes I with chloral leading to formation of seven-membered heterocycles - 1,4,2-dioxaphosphepines is characterized by the high degree of stereoselectivity. We investigated the model reactions of 2-R-4-oxo-1,3,-dioxaphosphorin-5-enes with CX₃CHO by PM3 and ab initio methods in STO-3G, 3-21G, 6-31G*, MP2/6-31G* basis set and also DFT method (B3LYP).     

Tautomerism in alloxan

Ab initio STO-3G, 3-21G and 6-31G calculations have been used to investigate the energetics of the tautomerism in alloxan. The geometries of the tautomers have been fully optimized at STO-3G level. The results indicate that tautomerism in alloxan in the vapour is highly unlikely, the trioxo structure being by far the most stable structure. The population analysis of the alloxan anion gives evidence that the preferred protonation site is offered by the central oxygen atom, and rules out the opposite oxygen atom as a possible protonation site.     

乙醛二聚体的从头计算

用ab initio分子轨道法在STO-3G和6-31G水平上, 全构型优化, 对二聚乙醛的各种稳定构型进行了研究。结果表明, 在STO/6-31G水平上, 最稳定的乙醛二聚体为具有对称中心的环状结构, 包含由醛基氢和醛基氧组成的二个C—H…O氢键。结合能为-20.17 kJ·mol~(-1), 与实验估计的结合能-22.39±0.15 kJ·mol~(-1)比较接近。STO-3G过低估计了乙醛二聚体的结合能, 在不同构型的相对稳定性方面也与6-31G不一致。     

The electronic structure of peracids. Functional models for cytochrome p-450

An extensive set of ground state ab initio and semiempirical molecular orbital calculations has been performed on both peroxytrifluoroacetic and peroxyacetic acids. The equilibrium geometry of peroxyacetic acid was calculated with the STO-3G and MINDO/3 methods, and peroxide rotational barriers for both peracids were obtained with STO-3G and PCILO. Extended basis set calculations with the 6-31G^** basis were performed for both peracids to compare the electronic structures of these two compounds. Electrostatic potential maps in the region of the peroxide bonds of both peracids were also calculated using INDO wavefunetions. These results are discussed with respect to the enhanced reactivity of peroxytrifluoracetic acid relative to peroxyacetic acid and the nature of the oxygen electrophilicity in these compounds and by analogy in cytochrome P-450, for which peroxytrifluoroacetic acid is considered to be an effective chemical model.     

A theoretical study of the Si-O bond in disiloxane and related molecules

Summary A comparison of semi-empirical (MNDO) and ab initio (GAUSSIAN) calculations for disiloxane and related molecules is given. The STO-3G^* basis set well reproduced the observed geometries of disiloxane (*), DZP, TZVP) gave much poorer agreement with the observed geometries.Comparison of the STO-3G^* and the STO-3G basis sets demonstrates the necessity of including d-orbitals on the silicon. However, the semi-empirical MNDO program gave, despite the absence of d-orbitals, a better approximation to the molecular geometry than the complex ab initio basis sets.Force field parameters have been calculated for k_SiOSi, k_OSiO, 0.089 and 0.73 mdyneÅ/rad², and the SiOSiO torsion which has a V₁ potential of –0.68 kcal/mol. In addition, the HSiOH torsion is shown to have a three-fold potential of 0.78 kcal/mol. These are profoundly different from the analogous carbon-oxygen force constants, demonstrating that C-O parameters cannot be transferred to the corresponding Si-O systems.     

Stable conformations of CH3CH2OCH2CH2OH: A comparison of theoretical methods

This article presents the results of an extensive examination of the stable conformations of CH₃CH₂OCH₂CH₂OH at various levels of theory. In particular, 41 initial conformations are optimized using the MM2 force field in BIGSTRN-3; the MINDO/3, MNDO, and AM1 Hamiltonians in AMPAC 2.2; the PM3 Hamiltonian in MOPAC 7.0; and at the HF/STO-3G and HF/3-21G levels using Gaussian 92. The optimized HF/3-21G structures are reoptimized at the HF/6-31G(d) level, and the unique structures are optimized again at the MP2 = FULL/6-31G(d) level. In addition, single-point MP2/6-31G(d) calculations are performed using the HF/6-31G(d) geometries. The goal is to determine the relative accuracy of each method and discuss their strengths and weaknesses. © 1994 by John Wiley & Sons, Inc.     

A conformational analysis of the six isomers of thiobispyridine

The conformational behaviour of the six isomers of thiobispyridine has been investigated using ab initio STO-3G*//rigid-roto, STO-3G*//STO-3G* and 6–31G**//STO-3G* molecular orbital models. The analysis reveals both the importance of optimising critical structure parameters and the basis set dependence of calculated rotational barrier heights. The most reliable model (6–31G**//STO-3G*) clearly indicates that the minimum energy conformers are not planar and that energy barriers between 30–100 kJ mol^?1 restrict inter-conversion to planar structures, thereby preventing conjugation between the p-electrons of the sulfur atom and the π system of both pyridine rings. From the calculated barrier heights, two mechanisms can be employed to explain conformer interconversion about the C? S bond: a disrotatory one-ring flip or a conrotatory two-ring flip mechanism. Where comparisons can be made (eg. 2,2′-thiobispyridine), dipole moment calculations are shown to be in good agreement with experiment. Finally, of the six isomers, appropriately substituted 2,2′, 2,3′- and 2,4′-thiobispyridines are most prone to a Smiles rearrangment.     

A molecular electrostatic-potential study of acesulfame

Molecular electrostatic-potential maps are reported for the anionic and neutral forms of acesulfame (6-methyl-1,2,3-oxathiazin-4(3H)-one-2,2-dioxide), a sweetener structurally similar to saccharin. The maps generated by methods based on a minimum basis set (STO-3G) and on a polarization basis set (3-21G*) are almost identical with respect to their contour levels. From the contour maps, broad and deep electrostatic-potential minima were found near the SO₂ and NC=O functionalities in the anion. The electrostatic potential minima directly correspond to the reactive sites proposed by Jakinovich for the interaction fo saccharin with its receptor.     

The electronic structure of small sodium clusters

Ab initio molecular orbital calculations using the STO3-21G basis set has been carried out for the cluster series Na _n ⁺ , Na _n , and Na _n ^– (wheren=2–7). The basis set is shown to be reliable compared with more extensive basis sets at the Hartree-Fock level. Thirty-one optimized structures are reported and discussed, many of which (especially for the anions) have not been considered. The STO3-21G//STO3-21G calculations suggest that for most of the species the optimum geometries are planar. In particular, the optimized structures for the anionic species should provide a starting point for more sophisticated configuration interaction calculations.     

Singlet Nitric Oxide Dimer Revisited: An Unexpected High Stability Isomer

A new form of the asymmetric cis isomer of the nitric oxide dimer, a cyclic parallelogram, has been found and characterized as the second most stable conformation by ab initio computational methods. Optimum equilibrium geometries, energetics, and harmonic frequencies are computed for the cyclic structure and the more common symmetric cis and trans isomers at the levels of second-order perturbation theory (MP2) and coupled-cluster theory limited to double excitations (CCD) using the 6-311G(2d) and 6-311+G(2d) basis sets. Single-point, more highly correlated calculations are then performed at these CCD optimum geometries. In addition, second-order geometries and frequencies are computed using the larger 6-311G(3df) basis, and single-point MP2 calculations are performed at these geometries using the Aug-cc-pVTZ and Aug-cc-pVQZ basis sets. At the highest levels of theory considered, the cyclic isomer lies within 17 kJ/mol of the symmetric cis global minimum and is more stable than the often-studied symmetric trans conformation.     

夹心羰基化合物（C5H5）2Ti（CO）2的电子结构及化学键研究

用量子化学从头算方法（ＳＴＯ－３Ｇ基组）对（Ｃ５Ｈ５）２Ｔｉ（ＣＯ）２进行几何优化，得到平衡几何构型，并在此基础上采用ＳＴＯ－３－２１Ｇ基组对（Ｃ５Ｈ５）２Ｔｉ（ＣＯ）２进行单点计算，计算结果表明：（Ｃ５Ｈ５）２Ｔｉ（ＣＯ）２的ＨＯＭＯ具有Ｔｉ→ＣＯ反馈π键性质，理论计算结果与实验相符。     

Semiempirical NDDO calculations with STO-3G and 4-31G basis sets

Possible refinements of semiempirical methods include the use of larger basis sets and of correlated wave functions. These possibilities are investigated in semiempirical NDDO SCF calculations with the STO-3G and 4-31G basis sets, and in correlated calculations at the STO-3G level. The present approach is characterized by the analytical evaluation of all one-center terms and two-electron integrals, and the semiempirical adjustment of the remaining one-electron integrals and the nuclear repulsions. The NDDO SCF results tend to reproduce the correspondingab initio results more closely than experimental data, even if they are parametrized with respect to experiment. The explicit inclusion of electron correlation at the STO-3G level improves the calculated results only slightly.     

The 3-21G(N*) basis set: An economical polarized basis set for ab initio studies on nitrogen-containing molecules

The 3-21G basis set shares with its older cousin, the 4-31G basis set, a tendency to overestimate valence angles at nitrogen atoms and to underestimate seriously barriers to inversion at such atoms. The 6-31G* basis set generally yields greatly improved results in these respects. It is here shown that, for a variety of molecules, supplementation of the 3-21G basis set at three- or two-coordinate nitrogen atoms with a set of six d-functions having exponent 1.0 leads to optimized geometries and inversion barriers at such nitrogen centers in good agreement with results obtained with the 6-31G* basis set. This supplemented basis set, designated as 3-21G(N*), also leads to calculated vibrational frequencies in good agreement with those calculated with the 6-31G* basis set. The 3-21G(N*) basis set offers an economical alternative to the 6-31G* basis set, particularly for molecules containing several first-row atoms other than nitrogen.     

Ab initio SCF calculations on hydrogen bonded cresol isomers

Ab initio GAUSSIAN 80 calculations with two different basis sets (STO-3G and 4–31 G*) were performed on hydrogen bonded cresol isomers for comparison with experimental data from free jet fluorescence excitation spectroscopy. Form-cresol, the calculated barriers for hindered internal rotation of the OH-group and the CH₃-group are in good agreement with experiment. The calculations show the trans-linear configuration ofp-cresol·B-clusters (B = H₂O, CH₃OH) to be more stable than the all-planar configuration. This agrees with CI calculations and microwave spectroscopic investigations of the water dimer. Calculations of both the intermolecular stretch and bend frequencies ofp-cresol·B-clusters show little dependence on the all-planar or trans-linear configuration but a strong dependence on the choice of the basis set. With the minimal basis set STO-3G, the vibrational energies are generally too high. The agreement between the calculated vibrational frequencies from the 4–31 G* basis set and the experimental values is fair.