Valence bond treatment of systems involving orbital degeneracy

A semiempirical valence-bond treatment including polar structures has been developed. Explicit formulas are given for the calculation of energy matrix elements and of charge and spin densities. The method has been applied to benzyl and allyl radicals and to butadiene.

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Zusammenfassung Es wurde ein semiempirisches Valence-Bond-Verfahren einschlie\lich Polar-Strukturen ent-wickelt. Explizite Formeln werden für die Berechnung von Energiematrixelementen und für die Ladungs- und Spin-Dichte angegeben. Die Methode wurde auf das Benzyl- und das Allyl-Radikal und auf Butadien angewendet.

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Résumé On a dévelopé un traitment semi-empirique de la méthode des orbitals de valence avec inclusion des structures polaires. On donne des formules explicitées pour le calcul des éléments matriciels de l'énergie et des densités de charge et de spin. On a appliqué la méthode aux radicaux benzylique et allylique et à la molecule du butadiène.

     

Valence bond treatment of systems involving orbital degeneracy

Ground and excited electronic states of the allyl cation and anion, the butadiene radical cation and anion, and of the pentadienyl cation and anion have been calculated by a semiempirical valence bond method. The results of such calculations are in essential agreement with the known properties of such systems. A comparison of the results of the valence bond treatment with those expected on the basis of the qualitative resonance theory yields serious discrepancies which show up the limitations inherent in the latter formalism.

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Zusammenfassung Der Grundzustand und die elektronisch angeregten Zustände der folgenden Systeme wurden mittels einer semiempirischen Valence-Bond-Methode berechnet: Allyl Kation und Anion, Butadien Radikal Kation und Anion, Pentadienyl Kation und Anion. Die Ergebnisse stehen in vernünftiger Übereinstimmung mit den bekannten experimentellen Daten. Ein Vergleich der Resultate, die mittels der Valence-Bond-Methode erhalten werden, mit jenen, die man aufgrund der qualitativen Resonanz-Theorie erwarten würde, ergibt wesentliche Unterschiede, die auf die Grenzen hinweisen, die dem letztgenannten Formalismus eigen sind.

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Résumé L'état fondamental et les états électroniques excités du cation et de l'anion allyl, du cation radical et de l'anion radical du butadiène et du cation et de l'anion pentadiényl ont été calculés par la méthode semiempirique valence bond. Les résultats de ces calculs correspondent raisonnablement aux données expérimentales connues pour ces systèmes. Une comparaison des résultats théoriques avec les prédictions de la théorie de résonance donne des différences qui démontrent les limites de ce formalisme qualitatif.

     

The orthogonality problem in valence bond calculations

The energy of the π-electron system in benzene has been obtained by means of valence bond calculations using orthogonal and nonorthogonal basis orbitals at different levels of configuration interaction, which shows the influence of the orthogonalization procedures.     

Interpretation of electronic spectra of aromatic hydrocarbons by the “molecules in molecules” method

The molecules in molecules method has been applied to five groups of hydrocarbon molecules or ions. Energy, polarisation and intensity of electronic transitions have been compared with experimental data and previous theoretical results. The results show that the method is applicable even when there is relevant conjugation between the fragments.

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Zusammenfassung Die molecules in molecules-Methode wurde auf fünf Gruppen von Kohlenwasserstoff-Molekülen angewandt. Energie, Polarisation und Intensität von elektronischen Übergängen wurden mit experimentellen und theoretischen Resultaten verglichen. Die Resultate beweisen, daß die Methode anwendbar ist, auch wenn eine wesentliche Konjugation zwischen den Fragmenten besteht.

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Resumé La méthode molecules in molecules a té appliquée à cinq groupes de molécules ou ions d'hydrocarbures. On a comparé les energies, la polarisation et l'intensité des transitions électroniques avec les données experimentales et les données théoriques qu'on avait précedemment calculées. Les résultats indiquent que la méthode est appliquable, même lorsqu'on a une conjugation assez importante entre les fragments.

     

Mid‐IR Spectroscopy and Structural Features of Protonated Carbonic Acid in the Gas Phase

An anti trihydroxycarbenium ion is revealed to be the gas‐phase structure of protonated carbonic acid by IR multiple‐photon dissociation spectroscopy (see picture for calculated structure and comparison of experimental and computed spectra). Deprotonation yields anti‐H₂CO₃ with a nominal gas‐phase basicity of 724 kJ mol^?1.

     

IR spectroscopic features of gaseous C7H7O+ ions: benzylium versus tropylium ion structures

Gaseous [C7H7O]+ ions have been formed by protonation of benzaldehyde or tropone (2,4,6-cycloheptatrienone) in the cell of an FT-ICR mass spectrometer using C2H5(+) as a Br?nsted acid. The so-formed species have been assayed by infrared multiphoton dissociation (IRMPD) using the free electron laser (FEL) at the CLIO (Centre Laser Infrarouge Orsay) facility. The IRMPD features are quite distinct for ions from the two different precursors, pointing to two different isomers. A number of potential structures for [C7H7O]+ ions have been optimized at the B3LYP/6-31+G(d,p) level of theory, and their relative energies and IR spectra are reported. On this basis, the IRMPD spectra of [C7H7O]+ ions are found to display features characteristic of O-protonated species, with no evidence of any further skeletal rearrangements. The so-formed ions are thus hydroxy-substituted benzylium and tropylium ions, respectively, representative members of the benzylium/tropylium ion family. The IRMPD assay using the FEL laser light has allowed their unambiguous discrimination where other mass spectrometric techniques have yielded a less conclusive answer.     

Influence of laser wavelength on LIBS diagnostics applied to the analysis of ancient bronzes

In this work the influence of laser wavelength upon the analytical results obtained from applying LIBS diagnostics to bronzes was investigated theoretically and experimentally at 1,064 nm and 355 nm. The laser ablation process was modeled for a set of reference samples of quaternary Cu/Sn/Pb/Zn alloys and the difference between plume composition and known target stoichiometry was estimated for both of the wavelengths considered. LIBS measurements were performed on the same set of reference samples and under the same experimental conditions to validate the model at different wavelengths. Results from the application of the model to calculate sample optical properties during laser irradiation, absorption in the plasma and plasma temperature are also presented.     

Mechanistic study on the coupling reaction of aryl bromides with arylboronic acids catalyzed by (iminophosphine)palladium(0) complexes. Detection of a palladium(II) intermediate with a coordinated boron anion

The complexes [Pd(eta2-dmfu)(P-N)] [P-N = 2-(PPh2)C6H4-1-CH=NR, R = C(6)H(4)OMe-4; CHMe2; C6H3Me2-2,6; C6H3(CHMe2)-2,6] react with an excess of BrC6H4R1-4 (R1= CF3; Me) yielding the oxidative addition products [PdBr(C6H4R1-4)(P-N)] at different rates depending on R [C6H4OMe-4 > C6H3(CHMe2)-2,6 > CHMe2 approximately C6H3Me2-2,6] and R1 (CF3> Me). In the presence of K2CO3 and activated olefins (ol = dmfu, fn), the latter compounds react with an excess of 4-R2C6H4B(OH)2 (R2= H, Me, OMe, Cl) to give [Pd(eta2-ol)(P-N)] and the corresponding biaryl through transmetallation and fast reductive elimination. The transmetallation proceeds via a palladium(II) intermediate with an O-bonded boron anion, the formation of which is markedly retarded by increasing the bulkiness of R. The intermediate was isolated for R = CHMe2, R1 = CF3 and R2= H. The boron anion is formulated as a diphenylborinate anion associated with phenylboronic acid and/or as a phenylboronate anion associated with diphenylborinic acid. In general, the oxidative addition proceeds at a lower rate than transmetallation and represents the rate-determining-step in the coupling reaction of aryl bromides with arylboronic acids catalyzed by [Pd(eta2-dmfu)(P-N)].