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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 117 (1995), S. 6597-6598 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 94 (1991), S. 3011-3017 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Quantum chemical calculations are presented which predict that in the ground state of di-π-cyclooctatetraene cerium (cerocene) the Ce ion is almost entirely in a 4f1 configuration corresponding to Ce3⊕(C8H1.5(large-closed-square)8)2. The 4f electron forms with an electron of the ligand e2u highest-occupied molecular orbital a 4f1e32u singlet in close analogy to a Kondo ion in a metal. Due to coupling of the 4f1e32u with the 4f0e42u configuration, the latter corresponding to Ce4⊕(C8H2≤8)2, the splitting between the ground state singlet and the first excited triplet is of the order 0.5 eV. The self-consistent-field and multiconfiguration self-consistent-field parts of the calculations are done by employing recently developed pseudopotentials for cerium using basis sets of up to 626 basis functions. The correlation energy is accounted for by means of various correlation-energy density functionals and also by limited coupled electron-pair approximation calculations. Similar results are found in both cases.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 4223-4228 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: By applying projection techniques a unified description of weakly and strongly correlated electronic systems can be given. For that purpose the theory is formulated in Liouville instead of Hilbert space. By introducing an appropriate metric in terms of cumulants it is ensured that all energies are size consistent. An energy expression is derived which is a generalization of Goldstone's linked cluster theorem for arbitrary Hamiltonians. It is suitable for applying the projection method of Zwanzig and Mori. The equations for the correlation energy within the Local Ansatz and within coupled electron pair approximation CEPA-2 follow straightforwardly from the present theory.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 87 (1987), S. 2976-2985 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A method is described for the construction of (local) orbitals which are optimized for a correlation energy calculation. A distinction can be made between orbitals for intrabond and interbond correlations. The correlation energy is calculated with the optimized orbitals by applying the local ansatz. It is demonstrated for CH4 that the results agree with those of a CEPA. The number of optimized orbitals is considerably less than the number of pseudonatural orbitals (PNOs) which is required to attain the same accuracy. A physical interpretation of the orbitals is given and their transferability is briefly discussed.
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 5183-5193 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A way of calculating the electron correlation energy for the ground state of large organic molecules is presented. It is demonstrated that various contributions to the correlation energy may be described by simple analytic expressions. In the case of interatomic correlations, they depend only on the bond length, its kind (e.g., σ or π bond) and the atoms involved in the bonding. Intraatomic correlations for a given atom are shown to be determined by its total charge and the fraction of p electrons. The method is developed by starting from semiempirical (self-consistent field) calculations and building correlations into it. It is straightforward and simple to apply. Moreover, it provides considerable physical insight into the phenomenon of electron correlations. A number of tests of its accuracy are presented by considering small molecules for which a comparison with other calculations can be made. An overall satisfactory agreement is found.
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 2577-2582 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Atomic correlation operators are introduced which provide a method of selecting configurations for the description of correlations. When the calculations are done to lowest order in the residual interactions their accuracy can be checked by comparing them with Møller–Plesset perturbation calculations. A subset of the atomic correlation operators generates interatomic correlations. When the latter are treated better than by lowest-order perturbation theory the computational results can be compared with those of a coupled-electron-pair approximation (zero) calculation. The method is tested by applying it to CH4.
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 106 (1997), S. 1836-1846 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Quantum chemical ab initio calculations for two ternary thioferrate crystals, Na5FeS4 and Na3FeS3, have been performed. Using a cluster model approach with 250 optimized point charges for the single well-isolated complexes [FeS4]5− and [Fe2S6]6−, the electronic and magnetic properties are investigated. In particular, the weak antiferromagnetic coupling of two half-filled Fe 3d shells in the dimeric complex is discussed within the active-electron approach. The complete active space self-consistent-field (CASSCF) wave functions with 10 active electrons in 10 active orbitals are analyzed by expectation values for the local spin and the local charge fluctuations at one Fe site, allowing for a quantitative discussion of interatomic and intraatomic nondynamical correlation. With CASSCF a clear deviation from the Heisenberg Hamiltonian is found with coupling constants ranging from J(4→5)=−18 cm−1 to J(0→1)=−27 cm−1, which is a factor 4 smaller than experiment. The need of going beyond the active-electron approach and correlating all ligand orbitals is demonstrated, and an approximative scheme based on increments derived from multireference configuration interaction and averaged coupled-pair functional calculations is proposed, which yields J(4→5)=−65 cm−1. © 1997 American Institute of Physics.
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 105 (1996), S. 2353-2363 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have developed a method to analyze multi-configuration self-consistent field wave functions for open-shell systems, which may consist of a very large number of Slater determinants, by calculating their expectation values for (local) one- and two-particle operators in a numerically efficient way. Although the proposed formalism is fully general and applies to any operators referring to a subset of arbitrary orthogonal molecular orbitals, the local operators we use here are defined in terms of localized molecular orbitals. This choice permits to perform a chemically intuitive analysis of the local spin, population and charge fluctuation, also allowing to study electron correlation effects in chemical bonding. We present some applications for ionic and covalent systems considering four small molecules, H2, N2, H2O and CH4, as well as a binary transition metal complex, [Fe2S6]6−. © 1996 American Institute of Physics.
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 107 (1997), S. 3584-3591 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Large-scale state-averaged multiconfiguration self-consistent field, multireference configuration interaction, and averaged coupled-pair functional calculations, including relativistic effects by means of energy-consistent quasirelativistic pseudopotentials, have been carried out for the ground and low-lying excited states of the di-π-cyclooctatetraene (or bis[8]annulene) metal sandwich complexes M(C8H8)2 (M=Nd, Tb, Yb, U). It is found that the ground state configurations for the lanthanocenes are 4fnπ3, while for the actinocenes they are 5fn−1π4. The ground states for the lighter and heavier lanthanocenes are, respectively, the lower and higher multiplicity states resulting from the coupling between the highest possible spin–multiplicity of the central metal 4fn subshell and the unpaired ligand π electron, whereas they always have the highest possible multiplicity of 5fn−1π4 for the actinocenes. The metal–ring distances and symmetric metal–ring stretching frequencies are reported. The special characteristics of the uranium 5f orbitals in uranocene are described. Extensive spin–orbit configuration interaction calculations were performed for uranocene and confirm the assignment of the ground state and first excited state of uranocene made previously by other authors. However, a different ordering is obtained for the higher states. The calculated term energy for the first excited state of uranocene is in excellent agreement with the experimental value. © 1997 American Institute of Physics.
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 108 (1998), S. 8521-8527 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A recently proposed approach for performing electronic-structure calculations on crystalline insulators in terms of localized orthogonal orbitals is applied to the oxides of lithium and sodium, Li2O and Na2O. Cohesive energies, lattice constants and bulk moduli of the aforementioned systems are determined at the Hartree-Fock level, and the corresponding values are shown to be in excellent agreement with the values obtained by a traditional Bloch-orbital-based Hartree-Fock approach. The present Wannier-function-based approach is expected to be advantageous in the treatment of electron-correlation effects in an infinite solid by conventional quantum-chemical methods. © 1998 American Institute of Physics.
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