Analysis Of Electron Correlation Effects Research Articles

Analysis of Electron Correlation Effects and Contributions of NMR J-Couplings from Occupied Localized Molecular Orbitals

NMR J-coupling calculations at the second-order of polarization propagator approach, SOPPA, are among the most reliable. They include a high percentage of the total electron correlation effects in saturated and unsaturated molecular systems. Furthermore, J-couplings are quite sensitive to the whole electronic molecular framework. We present in this article the first study of all three response mechanisms, Fermi contact, FC, spin-dipolar, SD and paramagnetic spin-orbital, PSO, for J-couplings with occupied localized molecular orbitals at the SOPPA level of approach. Even though SOPPA results are not invariant under unitary transformations, the difference between results obtained with canonical and localized molecular orbitals, LMOs, are small enough to permit its application with confidence. The following small-size saturated and unsaturated compounds were analyzed: CH(4), CH(3)F, C(2)H(6), NH(3), C(2)H(4), CH(2)NH, H(2)C═CHF, and FHC═CHF. The local character of the FC mechanism that appears in J-couplings of these molecular models is shown through the analysis of contributions from LMOs. The importance of including the electron correlation on the engaged bonding orbitals for one-bond couplings is emphasized. Almost all electron correlation effects are included in such orbitals. Interesting findings were the large contributions by s-type LMOs to the C-H and C-C J-couplings; they are responsible for the variation of (1)J(C-C) when going from ethane to ethene and to 1,2-difluoroethene. The previously proposed hyperconjugative transfer mechanism has been tested. Among other tests we found the difference anti-syn of one-bond (1)J(C-H) in imine as due to both the corresponding σ(C-H) and the lone-pair, LP, contribution. Geminal and vicinal J-couplings were also analyzed. Our findings are in accord with a previous work by Pople and Bothner-by, who considered results taken from calculations or empirical data. For all geminal couplings the pattern of J-couplings, like the change of sign, is originated in the main bondings that participate in the coupling pathways. The finding of asymmetric contributions of LP to vicinal H-H couplings in imine is highlighted. The analysis of J-couplings by contributions from LMOs to the noncontact mechanisms, SD and PSO, show that the π electronic framework makes both terms grow in the specific case of the model compounds studied here. The PSO mechanism is more efficient when a σ bond is vicinal to a π bond. We found in this way an efficient and powerful scheme to get a deeper insight on the electronic molecular framework on which J-couplings are transmitted.

The importance of high-order correlation effects for the CO–CO interaction potential

The CO–CO interaction energy is calculated for several geometries, both by the supermolecule MP4 and CCSD(T) methods, and by symmetry-adapted perturbation theory. Relatively large differences between the MP4 and CCSD(T) results are explained by means of a diagrammatic analysis of electron correlation effects, supported by quantitative calculations of the fifth-order contributions to the electrostatic interaction energy. It follows from this analysis that the calculation of an accurate intermolecular potential for CO is a particularly difficult problem: even the CCSD(T) method is not sufficiently reliable since it lacks important fifth-order correlation contributions.

On the diagrammatic analysis of electron correlation effects in atoms and molecules: Fifth-order energy components

Abstract The diagrammatic many-body perturbation theory of electron correlation effects in atoms and molecules is employed in the description of some fifth-order correlation effects.

On the diagrammatic analysis of electron correlation effects in atoms and molecules

The many advantages of diagrammatic methods in the analysis of electron correlation effects in atoms and molecules are emphasized. Examples of the use of diagrams are given: in the description of higher order correlation effects, in the exploitation of group theory in electronic structure studies which go beyond an independent particle model, in the relativistic formulation of the correlation problem; and in devising computer algorithms for parallel computation in electron correlation studies.

An ab initio study of model SN2 reactions with inclusion of electron correlation effects through second-order Moeller-Plesset perturbation calculations

A systematic analysis of electron correlation effects in model S N 2 reactions shows large differences between the structures optimized at the Hartree-Fock (HF) and second-order Moller-Plesset (MP2) levels, but the relative energies critical to an understanding of gas-phase S N 2 reactions are essentially unaffected by the effect of electron correlation on the optimized structures

CEPA Calculations of potential energy surfaces for open-shell systems. II. The reaction of C + Ions with molecular hydrogen

Ab initio calculations including electron correlation effects (mainly on CEPA-PNO level) have been performed for the potential energy surface (PES) of the reaction of 2P carbon ions with molecular hydrogen. For the collinear abstraction reactions (C ∞v symmetry: 2σ +, 2Π-2) the minimum energy paths have been determined. The vertical insertion reaction (C 2v; 2A 1,B 1, 2B 2) has been investigated with particular emphasis (minimum energy path, barrier heights, intersystem crossing). The influence of the size of the orbital basis and of electron correlation has been studied in some detail. The interaction of the 2A 1, and 2B 2 surfaces has been analyzed, leading to the conclusion that close to C 2v symmetry a low energy path exists by which CH 2 +( 2A 1)can be easily formed, with a barrier ( 2B 2 → 2A 1) ≈ 18 kcal/mol below the asymptote. The analysis of electron correlation effects reveals that it is compulsory to correlate the whole valence shell if one wants to obtain reliable surfaces. The influence of singly excited configurations for getting the correct behaviour of the PES is generally small.

Cepa calculations of potential energy surfaces for open-shell systems. I. The reaction of O( 3P) with H 2( 1Σ g+)

Ab initio calculations including electron correlation effects (mainly on CEPA-PNO level) have been performed for the potential energy surface of the reaction of 3P oxygen atoms with molecular hydrogen. The collinear abstraction reaction (C ∞v symmetry) and the vertical insertion reaction (C 2v) have been investigated with particular emphasis.The influence of the orbital basis size and of electron correlation both on the reaction energy and on the barrier height and location for the abstraction reaction has been studied in some detail. Our extrapolated value for the barrier for this reaction is 13.4 ± 1.0 kcal/mol, in fair agreement with the experimental activation energy, while the insertion reaction has to pass over a barrier of =48 kcal/mol. The analysis of electron correlation effects reveals that it is compulsory to include all singly and doubly substituted configurations, to correct for unlinked cluster contributions and to use fairly large basis sets if one wants to get accurate ab initio potential surfaces for the reactions of triplet oxygen atoms.