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Resonance Theory of Catalytic Action of Transition-Metal Complexes: Isomerization of Quadricyclane to Norbornadiene Catalyzed by Metal Porphyrins

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Abstract

The theory of catalytic activity of transition-metal compounds is a fascinating problem especially if a comparison of different catalysts is necessary. The isomerization of quadricyclane (QC) to norbornadiene (NB) catalyzed by transition-metal porphyrins is a challenge and incidentally a suitable benchmark for various theories of catalysis. We analyze this process in detail using a valence bond-like scheme adjusted for the description of reaction centers containing transition-metal atoms. A qualitative explanation of contrasting catalytic behavior of Mn-phthalocyanine and Co-tetraphenylporphyrin is obtained from the analysis of the spectra of local many electron states of free catalysts and their complexes with the reactant/product. This picture is supported by the numerical analysis of potential energy profiles for the QC to NB isomerization in the presence of a catalyst performed in the effective Hamiltonian approximation. This exemplary reaction is put in a more general perspective of theories of catalytic activity of transition-metal complexes and in relation with oxygenation reactions. V C 2013 Wiley Periodicals, Inc.

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... Some mechanisms for these catalytic processes promoted by metal complexes have been proposed based on both reactivity data [43,44] and theoretical calculations [24], all highlighting the active participation of the metal centers. According to a mechanism computed for the conversion of a QC to the parent NBD in the presence of a Co(II) phthalocyanines complex, one of the labile C-C bonds of QC gives rise to an oxidative addition to the metal center followed by the formation of a transient carbocation and successive regeneration of the double C=C bonds of NBD [24]. ...
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... [11,12] These results indicate that a thermally activated pathway is possible, though there are changes in the energy landscape when the molecule is bound in the junction vs. the solution pathway. [30] Finally, we examined the switching process in situ by holding a molecular junction and stepping the bias to 250 mV for 1000 ms (Figure 2 e) at T 0 = 78 K. In this case, the NB-to-QC transition occurred probabilistically with 44.5 % of the junctions switching within the hold time. ...
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A single‐molecule memory element is electrically‐controlled using two distinct reaction mechanisms as reported by K. Moth‐Poulsen, J. Hihath, and co‐workers (DOI: 10.1002/anie.202002300). By using separate electrically‐controllable reactions for the forward and reverse reactions the bistable norbornadiene–quadricyclane system can be set in either state. The device can be switched through multiple cycles when a square‐wave voltage signal is applied to the molecule. Each state has a unique conductance value allowing the system to act as a switch or memory device.
... + g state by itself does not imply whatever reactivity since no concrete reaction is specified, as seen from the triplet O 2 ground state. This problem is discussed in our recent publication[52].Downloaded by [Andrei Tchougréeff] at 15:29 16 March 2016 ...
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Introduction Two Archetypal Valence Bond Diagrams The Valence Bond State Correlation Diagram Model and Its General Outlook on Reactivity Construction of Valence Bond State Correlation Diagrams for Elementary Processes Barrier Expressions Based on the Valence Bond State Correlation Diagram Model Making Qualitative Reactivity Predictions with the Valence Bond State Correlation Diagram Valence Bond Configuration Mixing Diagrams: General Features Valence Bond Configuration Mixing Diagram with Ionic Intermediate Curves Valence Bond Configuration Mixing Diagram with Intermediates Nascent from “Foreign States” Valence Bond State Correlation Diagram: A General Model for Electronic Delocalization in Clusters Valence Bond State Correlation Diagram: Application to Photochemical Reactivity A Summary References Exercises Answers
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Basic Concepts. General Density Matrix Theory. Coupled Systems. Irreducible Components of the Density Matrix. Radiation from Polarized Atoms: Quantum Beats. Some Applications. The Role of Orientation and Alignment in Molecular Processes. Quantum Theory of Relaxation. Appendix A: The Direct Product. Appendix B: State Multipoles for Coupled Systems. Appendix C: Formulas from Angular Momentum Theory. Appendix D: The Efficiency of a Measuring Device. Appendix E: The Scattering and Transition Operators. Index.
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The norbornadiene triplet is directly observed and its energy measured for the first time by time-resolved photoacoustic calorimetry. PAC affords a transient subsequent to the sensitizer triplet, with a lifetime of 6.20 +/- 0.03 ns and an energy of 61.37 +/- 0.25 kcal/mol relative to ND, which we have ascribed to the norbornadiene tripler. The lifetime of the triplet, which is anomalously short, is determined by the rate at which the species undergoes rearrangement along the path to quadricyclane. Calculations for the norbornene triplet indicate that its short lifetime is consistent with T-1 --> S-0 intersystem crossing.
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The electronic spectrum of the nonplanar, indirectly conjugated molecule norbornadiene has been studied theoretically, using multiconfigurational second-order perturbation theory (CASPT2) with extended ANO-type basis sets, and experimentally, using optical absorption and polarization-selected two-photon resonant-enhanced multiphoton ionization (REMPI) spectroscopies. The calculations comprise five valence excited states and the 3s, 3p, and 3d members of the Rydberg series converging on the first two ionizations. The two lowest triplet states have also been studied. The experiments enabled definitive assignments to be made for four Rydberg transitions and three valence transitions. The computed excitation energies were found to be within 0.2 eV of the experimental energies for correctly correlated transitions; the computed oscillator strengths were in good relative agreement with their experimental values. Comparisons are made between this and other theoretical calculations and also between the electronic spectra of norbornadiene, cis-butadiene, and cyclopentadiene.
Article
A general procedure for analyzing correlated wave functions is explicited and applied to the double bridge of diborane. The procedure consists of four steps. First, a complete-active-space multiconfigurational SCF (CASSCF) calculation provides optimized valence molecular orbitals and treats the electronic correlation internal to the space associated with the given chemical group. Then, these orbitals are localized into a minimal set of molecularly adapted atomic orbitals called nearly atomic molecular orbitals (NAMOs). Next, these orbitals are used to build a basis set of orthogonal valence-bond (OVB) determinants on which the CASSCF wave function is reexpressed, weighting the various distributions of the active electrons in these local cells. The information is lastly reduced by further processing the OVB expansion to figure out the electron populations and their fluctuations within one NAMO or a subset of NAMOs. To measure the extent of interaction between given orbitals, an index is proposed that is related to the covalent organization residual two-electron probability (CORP). The whole method is proved to avoid the shortcomings of basis set dependence. For B2H6, the NAMOs are hydrogen-centered orbitals and B-H directed boron hybrids. The OVB expansion exhibits a clear hierarchy of situations, reflecting a compromise between the separation of the two bridges (91% probability for up/down 2e/2e partitioning) and the tendency to maintain the neutrality of the atoms. All indexes indicate that the B-H interactions definitely prevail over the B-B ones, although the latter are not negligible. This is further confirmed by a direct estimate of charge-transfer interactions in the OVB-CI matrix. In a way, each three-center two-electron bridge in diborane is roughly halfway between an allyl-like cation and a cyclopropenyl-like cation.
Article
The results of studies on intramolecular interconversions in systems of norbornadiene quadricyclane and their derivatives are classified and discussed. The mechanisms of the forward photoreaction and reverse thermal process in relation to the nature of the substituents and carbocycles, type of sensitiser and catalyst, and properties of the medium are discussed in detail and classified. An analysis is made of the influence of these factors on the spectroscopic, kinetic, and thermodynamic properties of this system as an accumulator and converter of light energy. Methods of improving its characteristics — light absorption, the quantum yield of the photoreaction, and stability of the photoproduct — have been established. The bibliography includes 188 references.
Article
Data on the valence isomerisation of norbornadiene and its derivatives into the corresponding quadricyclanes published between 1990 and 2001 are considered and described systematically. The applicability of this reaction for the storage of solar energy is discussed. The bibliography includes 112 references.
Article
Momentum Distributions (MDs), obtained using high-resolution electron momentum spectroscopy (HREMS), are reported for norbornadiene's 18 valence orbitals. Corresponding theoretical results, using generalized gradient approximation density functional theory (DFT) together with TZVP, DZVP, and DZVP2 basis functions and a plane wave impulse approximation to describe the ionization process, are also detailed. This work represents the first comprehensive HREMS/DFT investigation into the complete valence electronic structure of norbornadiene (NBD), with significant results being obtained. In particular, an exacting comparison between our experimental and theoretical MDs enables us to define the "optimum" basis for NBD, from those we studied. This "optimum" basis is then used to extract a wide range of NBD's important molecular property information, which are subsequently compared with the results of independent measurements and calculations. Agreement between our results and those from independent measurements was generally very good, highlighting the utility of HREMS in a priori basis set evaluation.
Article
Electron transfer catalysis is an efficient method for the catalysis of symmetry-forbidden or slow pericyclic reactions. Accurate quantum mechanical calculations are an important tool for gaining insights into the mechanistic details of these fast reactions involving radical cations. The current “state of the art” of computational studies of pericyclic reactions of radical cations is reviewed. In particular, four parent reaction types are discussed: (i) the ring-opening of the cyclobutane radical cation; (ii) the [2+2] cycloreversion of the cyclobutane radical cation; (iii) the radical cation Diels−Alder reaction of 1,3-butadiene and ethylene; and (iv) the [1,3] methylene shift in the vinylcyclopropane radical cation. The transfer of these findings to chemically more relevant substituted systems is also briefly discussed. The potential energy hypersurfaces obtained are very flat and have activation barriers that are significantly lower than the ones for the corresponding neutral reactions, which is in agreement with the large rate acceleration observed experimentally. Many of the located radical cation structures closely resemble their biradical counterparts in the neutral, stepwise pathways. The reactions generally follow a lower symmetry pathway, due to Jahn−Teller distortions induced by the unpaired electron. Finally, the results from computationally efficient B3LYP/6-31G* calculations are found to be in good agreement with those from highly correlated MO calculations.