Unrestricted Hartree-Fock instabilities in nuclear spin-spin coupling calculations. The MNDO method

The MNDO wavefunction is used to calculate the Fermi contact term of nuclear spin-spin coupling constants. Owing to the presence of non-singlet unrestricted Hartree-Fock instabilities of the wavefunction, convergence problems arise in a rather large set of molecules, especially those containing molecular orbitals. A special technique to cope with this situation is presented. The MNDO and transmitted components of the coupling constants in the ethylene molecule are also calculated and compared with those previously obtained with the INDO and INDO/S methods.Part of a Ph.D. thesis (G.E.S.) to be presented to the University of Buenos Aires.Commission of Scientific Research (CIC, Pcia. Bs. As.) fellow.Argentine National Research Council (CONICET) fellow.Member of the Argentine National Research Council (CONICET).     

The use of partially restricted molecular orbitals to investigate transmission mechanisms of spin-spin coupling constants. I. Theσ andπ contributions within the FPT INDO method

Partially restricted INDO MO Calculations have been carried out to separate the -electron contributions to spin-spin coupling constants in ethylene, butadiene, benzene and toluene. Results reproduce very well known trends such as the pathway invariance, the alternation in sign and the methyl group replacement rule.Comisión de Investigaciones Científicas (CIC, Pcia.Bs.As.) fellow.     

A theoretical study of nuclear spin coupling constants and hyperfine coupling constants of se-heterocyclics

MO calculations based on the finite perturbation theory in the INDO approximation have been carried out on selenophene, eighteen of its monosubstituted derivatives and benzo (b)selenophene. The calculated nuclear spin coupling constants satisfactorily reproduce signs, magnitudes, internal orders and some trends of the experimental values. Comparison of different ZDO calculations provides information on the relative importance of σ and π pathways for the various coupling constants in selenophene and benzo(b)selenophene. Unrestricted Hartree-Fock calculations at the INDO level have been performed on the radical anions of dibenzoselenophene and 2,1,3-benzoselenadiazole, the phenoselenazine radical cation, the phenoselenazine neutral radical and the phenoselenazine nitroxide. The isotropic hyperfine coupling constants have been found to be generally in satisfactory agreement with experiment.     

Empirical analysis of vicinal proton-proton spin-spin coupling constants from the classic and modified Karplus equations in the γ-piperidone series

We present a novel approach for empirical parametrization of the Karplus equation, based on differentiation not only according to the class of compound but also according to the type of spin-spin coupling constant. In the case of -piperidones, this approach allows us to satisfactorily predict all the vicinal proton-proton spin-spin coupling constants, in contrast to previously proposed modified Karplus equations.N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences, 117977 Moscow. Translated from Izvestiya Akademii Nauk, Seriya Khimicheskaya, No. 7, pp. 1566–1574, July, 1992.     

Ab initio study of the NMR shielding constants and spin-spin coupling constants in cyclopropene

Summary Ab initio calculations of parameters which characterize the NMR spectrum are presented for the cyclopropene molecule. The London orbitals CHF (or GIAO-CHF, Gauge-Independent Atomic Orbital Coupled Hartree-Fock) results for the shielding constants are in good agreement with the experimental data, accurately determined, and with otherab initio values. The calculations of the NMR spin-spin coupling constants have been performed using the Multiconfiguration Time-Dependent Hartree-Fock (MC TDHF) approach. Different basis sets and MC SCF wavefunctions were used to estimate the accuracy of the results. Good agreement is obtained with the coupling constants estimated using the available experimental data.Dedicated to Professor Werner Kutzelnigg on the occasion of his 60th birthday     

An INDO investigation of the electronic structure and hyperfine coupling constants of the radicals HBO−, HCO and HCN−

The equilibrium geometry and hyperfine coupling constants in the isoelectronic radicals HBO^–, HCO and HCN^– have been calculated using the INDO method. The calculated coupling constants are in reasonable agreement with experiment for these -radicals, provided the geometry is optimised in the calculations.     

Synthesis and electronic structures of D2h-symmetry tetrabenzoporphyrins

A novel low-symmetry tetrabenzoporphine with D_2h symmetry (1) and its zinc complex (2) were prepared via mixed condensation reaction of 5,6-dimethyl phthalimide and 4,5,6,7-tetraphenyl phthalimide with sodium acetate in the presence of zinc acetate. The zinc complex 2 exhibited a split Q band at 640 and 623 nm and a single Soret band at 435 nm. The absorption spectra of 1 and 2 were calculated and analyzed using Hartree-Fock theory based on INDO/S Hamiltonian.     

Second-order polarization propagator calculations of indirect nuclear spin-spin coupling tensors in the water molecule

The contribution to indirect nuclear spin-spin coupling tensors provided by the Fermi contact, the spin-dipolar, the Fermi contact/spin-dipolar crossterm, and the paramagnetic spin-orbit interactions are investigated in a zeroth-, first- (the same as the coupled Hartree-Fock method), and second-order polarization propagator approach. Numerical applications to the water molecule show that the second-order results for both the HO and the HH coupling constants are in good agreement with experimental data - especially if vibrational corrections and the diamagnetic spin-orbit contributions are taken into account. We find that the correlation corrections beyond coupled Hartree-Fock are important. We also report how the second-order results are influenced by neglect of some of the most time-consuming steps in the calculation.     

Methodological aspects in the calculation of parity-violating effects in nuclear magnetic resonance parameters

We examine the quantum chemical calculation of parity-violating (PV) electroweak contributions to the spectral parameters of nuclear magnetic resonance (NMR) from a methodological point of view. Nuclear magnetic shielding and indirect spin-spin coupling constants are considered and evaluated for three chiral molecules, H2O2, H2S2, and H2Se2. The effects of the choice of a one-particle basis set and the treatment of electron correlation, as well as the effects of special relativity, are studied. All of them are found to be relevant. The basis-set dependence is very pronounced, especially at the electron correlated ab initio levels of theory. Coupled-cluster and density-functional theory (DFT) results for PV contributions differ significantly from the Hartree-Fock data. DFT overestimates the PV effects, particularly with nonhybrid exchange-correlation functionals. Beginning from third-row elements, special relativity is of importance for the PV NMR properties, shown here by comparing perturbational one-component and various four-component calculations. In contrast to what is found for nuclear magnetic shielding, the choice of the model for nuclear charge distribution--point charge or extended (Gaussian)--has a significant impact on the PV contribution to the spin-spin coupling constants.     

13C NMR spectra and three-dimensional structures of isomeric 3,4-substituted thiophans

The chemical shifts and the direct carbon-proton spin-spin coupling constants for a number of cis and trans isomers of 4-amino-substituted 3-hydroxy(acyloxy)-thiophans, the configurations of the substituents in which and the conformational states were previously established by an independent method, were studied. It was found that in the spectra of the cis isomers the signals of the vicinal ¹³C atoms, which bear the substituents, are shifted to strong field as compared with the trans isomers ( trans-cis 1.7–4.3 ppm). Conformational effects of the substituents on the chemical shifts of the ring ¹³C atoms were noted. It is shown that a relationship exists between the direct carbon-proton spin-spin coupling constants and the spatial orientations of the acyloxy and acylamino substituents for five-membered saturated rings.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 12, pp. 1612–1616, December, 1981.     

Correlation between 29Si-15N spin-spin coupling constants and the 15N-NMR chemical shifts in silatranes

A nonlinear correlation has been found between the ²⁹Si-¹⁵N spin-spin coupling constants and the ¹⁵N-NMR chemical shifts in silatranes. The dependence has been used to calculate corrections to the spin-spin coupling constant for the electronegativity of a substituent on the silicon atom. This has allowed the previously obtained data on the length and order of the N Si coordinate bond for silatranes in solutions to be refined.Translated from Khimiya Geterotisiklicheskikh Soedinenii, No. 5, pp. 701–703, May, 1989.     

Application of semi-empirical calculations of 13C chemical shifts and 1J(CH) coupling constants to the analysis of carbonium ion structures

¹³C chemical shifts and ¹³CH coupling constants for classical and non-classical structures of some typical carbonium ions have been calculated by the method of summation over excited states in the INDO approximation using a special parameterization. Comparison of the data obtained with the experimental values shows that the calculation of the chemical shifts and spin-spin coupling constants is superior to energy calculations, and provides a useful means for the study of the structure of carbonium ions.     

Influence of the INDO parameterization on the indirect spin–spin coupling constants as calculated by the FPT INDO method

Alterations have been introduced in the semi-empirical INDO parameters in order to study their influence on the Fermi contact term of the indirect spin–spin coupling constants as calculated by the finite perturbation theory (FPT). For this purpose a set of molecules containing hydrogen, carbon and/or fluorine has been selected. In general, most coupling constants are found to be much more sensitive than other molecular properties to small changes in the INDO parameters. This sensitivity depends strongly on the particular calculated coupling constant. In most cases the uncertainty in the INDO parameters leads to uncertainties in the coupling constants which are much greater than their experimental errors.     

Analysis of the electronic origin of the 1JCH spin-spin coupling trend in 1-X-cyclopropanes: experimental and DFT study

A conceptual analysis of the CLOPPA (Contributions from Localized Orbitals within the Polarization Propagator Approach) expressions that deconvolute NMR spin-spin coupling constants [Diz A. C.; Giribet C. G.; Ruiz de Azua, M. C.; Contreras, R. H. Int. J. Quantum Chem. 1990, 37, 663.] into orbital contributions can provide an in-depth insight into the features of the electronic molecular structure that originate a given 1JCH experimental trend. In this work, several 1-X-cyclopropane derivatives are taken as model compounds to apply such ideas to rationalize substituent effects on the Fermi contact term of 1JC1,H spin-spin coupling. It is shown that in this type of coupling, its experimental trend, as measured in this work, cannot be accounted for with only the "bond" and the "other bond" contributions, requiring the inclusion of "other antibonding contributions". Such effect is discussed in terms of hyperconjugative interactions.     

Theoretical study of spin-spin coupling constants in thecis-enol forms of β-dicarbonyl compounds

The values of the spin-spin coupling constant J(CH) of the bridging proton in the cis-enol forms of -dicarbonyl compounds have been calculated with consideration of the one-dimensional distribution functions of the proton. The results have been compared with the experimental data obtained in the present investigation. The dependence of the spin-spin coupling constants considered on the parameters of the potential of the intramolecular hydrogen bond has been discussed.Institute of Bioorganic Chemistry, Academy of Sciences of the Belorussian SSR, M. V. Lomonosov Moscow State University. Translated from Zhurnal Strukturnoi Khimii, Vol. 32, No. 2, pp. 84–87, March–April, 1991.     

Ab initio computations on H2S: LCAOSCF wave functions without d orbitals

Ab initio MO-SCF wave functions are derived for H₂S for different bond angles by using a double-zeta type set of gaussian s and p orbitals. The predicted equilibrium bond angle is 95.5°. The computed value of the total electronic energy is expected to be near the Hartree-Fock limit for the molecule. The predicted value of the dipole moment does not show significant improvement with respect to similar computations not including polarisation functions.

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Zusammenfassung Ab inittio-Funktionen aus Doppel--Gaussfunktionen werden für H₂S bei verschiedenen Valenzwinkeln angegeben. Die tiefste Energie (95.5°) dürfte nahe beim Hartree-Fock-Wert liegen. Die Einführung von polarisierenden Funktionen liefert hinsichtlich des Dipolmomentes keine Verbesserung.

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Résumé Des calculs non empiriques pour plusieurs valeurs de l'angle de liaison ont été effectués pour H₂S avec une base étendue de fonctions gaussiennes s et p. L'angle d'équilibre prévu est de 95.5°. L'énergie électronique totale est estimée très proche de la limite Hartree-Fock pour la molécule. La valeur du moment dipolaire calculé est pareille à celle qui a été trouvée par d'autres calculs n'incluant pas des fonctions de polarisation.

     

Reactivities and structures of compounds of the thiophene and furan series bearing electron-acceptor substituents

The experimental data on orientation in electrophilic substitution reactions of compounds of the furan and thiophene series that bear electron-acceptor substituents were examined. Within the framework of the CNDO/2 method, the electronic structures, dipole moments, and spin-spin coupling constants in the PMR spectra were calculated for model systems — 2-formylthiophene, furfural, and their oxygen-protonated forms. The results of the calculations are compared with the available experimental data on the dipole moments and spin-spin coupling constants, which made it possible to discuss the geometrical structures of the compounds. An analysis of data on the chemical behavior of these compounds demonstrated that, in contrast to the charges found using the -electron approximation, the total charges on the atoms calculated by the CNDO/2 method are rather effective indexes of the reactivity.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 2, pp. 155–164, February, 1972.     

13C-13C Spin-Spin Coupling Constants in Structural Studies: XXXI. Bicyclo[2.1.0]pentane Heteroanalogs

¹³C-¹³C spin-spin coupling constants and orbital hybridization of the bridging bond in bicyclo[2.1.0]pentane heteroanalogs and their unsaturated derivatives were calculated in terms of the self-consistent finite perturbation theory (SCPT INDO). The results showed that the bridging CÄC bond in all the examined compounds has an anomaloulsy low s character.