Magnetic moments of multielectron mixed-valency dimer clusters in a dynamic intermediate vibronic coupling approach

The vibronic aspect of the Jahn-Teller effect is considered for multielectron mixed-valency dimer clusters. A basic intermediate-coupling set is used in the numerical diagonalization of the vibronic Hamiltonian. The temperature dependence of the vibronic magnetic moment is derived for symmetrical and distorted mixed-valency dimer clusters. Strong vibronic interaction can suppress double exchange and lead to an antiferromagnetic ground state for the cluster. Distortions that eliminate the inversion center localize the surplus electron and suppress the ferromagnetic effect caused by double exchange.Chemical Institute, Moldovian Academy of Sciences. Moldovian State University. Translated from Zhurnal Strukturnoi Khimii, Vol. 34, No. 2, pp. 11–19, March–April, 1993.     

Vibronic reduction of Heisenberg and double exchange in multielectron mixed-valency clusters

Vibronic reduction is considered for Coulomb interaction between centers for Heisenberg and double exchange in multielectron mixed-valency d²-d³ clusters. A simplified multimode vibration model indicates how effects arise via vibrations from the correlation interaction between electron shells. Vibronic reduction in double exchange can alter the magnetic parameters for the cluster's ground state.Translated from Teoreticheskaya i Éksperimental'naya Khimiya, Vol. 28, No. 2, pp. 114–121, March–April, 1992.     

Excitation spectrum of a multielectron atom

The spectrum is derived by the transition-matrix method, which is suitable for one-particle and collective excitations. The configuration structure of the transition matrix is discussed, together with the relation to the Hartree-Fock approximation.     

Trial wave functions for multielectron atoms

The study shows how the formalism induced by the minimum mean deviation from statistical equilibrium may be effectively applied to more complex atoms to obtain trial wave functions compatible with a shell picture of the atom. The objective is not only to recover the experimental value of the ground‐state mean energy of the atom but rather to better approximate the unknown parameters of these trial functions and to calculate both correlations between electrons and the amount of interdependence among different subsets of electrons of the atoms. The examples and numerical results refer to the hydrogen, helium, lithium, beryllium, and boron atoms. The main computer program is also given. © 2001 John Wiley & Sons, Inc. Int J Quant Chem 81: 389–408, 2001     

Nuclear dynamics for a three-state Jahn-Teller model system

We report wavepacket dynamics on a model system with a three-state conical intersection. Quantum wavepacket dynamics using the multiconfigurational time-dependent Hartree method have been carried out for the T ? (e + t(2)) Jahn-Teller problem, using a Jahn-Teller vibronic model Hamiltonian. The effects of the magnitude of the coupling parameters and of the initial position of the wavepacket on the dynamics around the three-state conical intersection have been considered. It was found that the effect of the coupling strength is not dramatic for the population transfer in most cases, but the details of the dynamics and the involvement of the different modes are affected by it.     

A variational principle for the excitation energy of a multielectron system

A variational principle is proposed for direct calculation of the excitation energy. The spectrum of collective excitations is derived for a homogeneous electron gas.     

The Jahn-Teller and pseudo-Jahn-Teller effects in the anion photoelectron spectroscopy of B3 cluster

The photodetachment spectroscopy of B3- anion is theoretically studied with the aid of a quantum dynamical approach. The theoretical results are compared with the available experimental photoelectron spectra of B3-. Both B3- and B3 possess D(3h) symmetry at the equilibrium configuration of their electronic ground state. Distortion of B3 along its degenerate vibrational mode nu2 splits the degeneracy of its excited C2E' electronic manifold and exhibits (E [symbol: see text] e)-Jahn-Teller (JT) activity. The components of the JT split potential energy surface form conical intersections, and they can also undergo pseudo-Jahn-Teller (PJT) crossings with the X2A1' electronic ground state of B3 via the degenerate nu2 vibrational mode. The impact of the JT and PJT interactions on the nuclear dynamics of B3 in its X2A1'-C2E' electronic states is examined here by establishing a diabatic model Hamiltonian. The parameters of the electronic part of this Hamiltonian are calculated by performing electronic structure calculations and the nuclear dynamics on it is simulated by solving quantum eigenvalue equation. The theoretical results are in good accord with the experimental data.     

Analytical calculations of molecular integrals for multielectron R-matrix methods

Closed-form analytical expressions for one- and two-electron integrals between Cartesian Gaussians over a finite spherical region of space are developed for use in ab initio molecular scattering calculations. In contrast with some previous approaches, the necessary integrals are formulated solely in terms of finite summations involving standard functions. The molecular integrals evaluated over the finite region of space are computed by subtracting the contributions outside the region from the integrals over all space. The latter integrals can be efficiently and accurately obtained from existing bound-state algorithms. Our approach incorporates molecular scattering calculations into current quantum chemistry programs and facilitates the unification of bound- and continuum-state calculations for both diatomic and polyatomic molecules. Multidimensional Monte Carlo numerical integrations validate the high accuracy of our closed form results for the two-electron integrals.     

Metalla-supramolecular rectangles as electron reservoirs for multielectron reduction and oxidation

The electron-transfer capacity of molecular rectangle ions [Pt(II)(4)(PEt(3))(8)(mu-anth(2-))(2)(mu-L)(2)](4+) with anth = anthracene-1,8-diyl and L = 4,4'-bipyridine (bp) or 1,2-bis(4-pyridyl)ethene (bpe) was investigated in acetonitrile and dichloromethane using cyclic voltammetry, EPR, and UV-vis-near-IR spectroelectrochemistry. The compounds can be reversibly reduced, first in a two-electron process and then via two closely separated one-electron steps. Oxidation was also possible at rather low potentials in a reversible two-electron step, followed by an electrochemically irreversible process. The spectroscopic results indicate reduction at the neutral acceptor ligands L and oxidation at the formally dianionic anthracene "clips". In contrast, the prototypical molecular square ([Pt(triphos)(mu-bp)](4))(8+) undergoes only irreversible reduction.     

Supported metals and metal oxides as promoters for the metal dimer and cluster catalysed co substitution reaction

Promotional effects due to PtO₂, PdO, Pd/C and Pd/CaCO₃ on the metal dimer or cluster (e.g. [(η⁵-C₅H₅)Fe(CO)₂]₂, Ru₃(CO)₁₂, Ir₄(CO)₁₂) catalysed reaction between metal carbonyls and isonitriles are shown to lead to enhanced reaction rates for the metal carbonyl substitution reaction.     

Correction for exchange and correlation effects in multielectron system theory

Odessa Technological Institute. Translated from Zhurnal Strukturnoi Khimii, Vol. 31, No. 4, pp. 3–7, July–August, 1990.     

Polarizable interaction potential for water from coupled cluster calculations. I. Analysis of dimer potential energy surface

A six-dimensional interaction potential for the water dimer has been fitted to ab initio interaction energies computed at 2510 dimer configurations. These energies were obtained by combining the supermolecular second-order energies extrapolated to the complete basis set limit from up to quadruple-zeta quality basis sets with the contribution from the coupled-cluster method including single, double, and noniterative triple excitations computed in a triple-zeta quality basis set. All basis sets were augmented by diffuse functions and supplemented by midbond functions. The energies have been fitted using an analytic form with the induction component represented by a polarizable term, making the potential directly transferable to clusters and the bulk phase. Geometries and energies of stationary points on the potential surface agree well with the results of high-level ab initio geometry optimizations.     

Isostationary functions for multimode and multilevel Jahn-Teller systems

Summary The method of isostationary functions, first introduced for linear Jahn-Teller problems within a single electronic term, is generalized to multimode and multilevel problems. Analytic expressions are obtained for the case of linear vibronic coupling of a general form, including both simply and non-simply reducible groups. It is shown that the static multimode Jahn-Teller problem for non-simply reducible groups can always be reduced to an ideal single-mode problem.On leave of the Institute of Chemistry, Academy of Sciences, Kishinev, Moldova     

New approach to principles of constructing wave functions for multielectron systems

Analysis of the relationship between the structure of the symmetrical permutation group and the topological structure of the configuration space makes it possible to perform complete separation of spin and spatial variables for multielectron wave functions. This separation of variables allows one to explain the role of nodal surfaces in interpreting and understanding the physical sense of the Pauli principle for systems of fermions. The suggested hypothesis about the form of the nodal surfaces permits one to find these surfacesa priori for arbitrary multielectron systems. The use of nodal surfaces for constructing trial wave functions is demonstrated with the example of calculating the energy of the Li atom in the ground state.     

A peroxide-bridged imidazole dimer formed from a photochromic naphthalene-bridged imidazole dimer

2,4,5-Triphenylimidazole (lophine) is known as the first chemiluminescence substrate, and its oxidized derivative, the 2,4,5-triphenylimidazolyl radical, corresponds to the coloured species in the photochromic reaction of hexaarylbiimidazole (HABI). We report the first direct observation of the O(2) adduct of the imidazolyl radical that forms the end-on peroxide-bridged imidazole dimer. The ring-opening reaction of the peroxide-bridged imidazole dimer leading to the formation of an N-benzoylbenzamidine derivative supports the presence of the 4,5-epidioxide of lophine as a reaction intermediate of its chemiluminescence.