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Quantum mechanical valence study of a bond-breaking-bond-forming process in triatomic systems

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TLDR
In this article, the quadratic, two-electron covalent and ionic valence indices are used to investigate the bond-breaking-bond-forming (BB-BF) process in an atom exchange reaction between H2 and X (X = H, F-I) as well as in the O2-H system Valence changes accompanying selected charge reorganizations are examined within the three-orbital model and valence diagrams for symmetric transition states (TSs) are given.
Abstract
The recently introduced set of the quadratic, two-electron covalent and ionic valence indices is used to investigate the bond-breaking–bond-forming (BB-BF) process in an atom exchange reaction between H2 and X (X = H, F—I) as well as in the O2—H system Valence changes accompanying selected charge reorganizations are examined within the three-orbital model and valence diagrams for symmetric transition states (TSs) are given The UHF valence data for Li2O and CO2 and the H—H—X, O—O—H, and O—H—O (ABC) TSs (collinear and angular) are reported and compared to valence data in the separated fragments limits (SFL), AB and BC The overall valence, ν(ABC), and the total (ionic plus covalent) diatomic valences, νAB and νBC, are used as measures of the overall bond-order in a concerted BB–BF reaction, to test the postulate of the bond-energy–bond-order (BEBO) model In collinear TSs of H2X, ν ≊ −1, ie, one bonding electron pari, is found to be roughly preserved, whereas in the angular H2X and in collinear O—H—O TSs, the effect of increased valence at the saddle-point is observed, relative to that of diatomic fragments (reactiants or products) For the angular O—O—H TS, a similar increase in | ν (ABC)| relative to both O2 and OH SFLs is detected; smaller changes relative to the O2 data are found in the collinear TS This observation is in agreement with earlier predictions from the intersecting-state model The relative diatomic valences, ν/ν and ν/ν, are shown to conserve the overall relative bond multiplicity around 1 in both collinear and angular TSs of the H2—X systems © 1994 John Wiley & Sons, Inc

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A Combined Charge and Energy Decomposition Scheme for Bond Analysis

TL;DR: The ETS-NOCV scheme offers a compact, qualitative, and quantitative picture of the chemical bond formation within one common theoretical framework and can be widely used for the description of different types of chemical bonds.
Journal ArticleDOI

Bond orbitals from chemical valence theory

TL;DR: The approach presented here allows for a discussion of localized orbitals and bond multiplicity within one common framework of chemical valence theory.
Journal ArticleDOI

Natural orbitals for chemical valence as descriptors of chemical bonding in transition metal complexes

TL;DR: Results of NOCV analysis, compared with Mulliken populations analysis and Zigler–Rauk interaction–energy decomposition, demonstrate that the use of the natural valence orbitals allows for a separation of the σ-donation and π-back-donations contributions to the ligand–fragment bond.
Journal ArticleDOI

Two-electron valence indices from the Kohn-Sham orbitals

TL;DR: In this article, the Kohn-Sham (KS) density functional theory (DFT) is used to calculate the global valence, which is a generalized distance measure measuring a degree of similarity between the two charge-and-bond-order (CBO) matrices.
Journal ArticleDOI

Bond multiplicity in transition-metal complexes: applications of two-electron valence indices.

TL;DR: The Nalewajski and Mrozek method can be successfully used as a supplementary analysis tool for electronic structure for studies involving transition metal complexes.
References
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Journal ArticleDOI

Atomic Radii and Interatomic Distances in Metals

TL;DR: In this article, it was shown that the number of covalent bonds resonating among the available positions about an atom (the metallic valence of the atom) increases from one to nearly six (5.78) in the sequence K, Ca, Sc, Ti, V, Cr in the first long period of the periodic table, remains nearly constant from Cr to Ni, and begins to decrease with Cu.
Journal ArticleDOI

Theoretical relations among rate constants, barriers, and Broensted slopes of chemical reactions

TL;DR: In this paper, a simple relation, ΔF* = (λ(1 + Δ/λ)^2)/4, was explored in a slightly modified version for reactions with considerable resonance splitting, such as atom transfers, proton transfers, and strong-overlap electron transfers.
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