Structure and electronic spectra of 2-phenylbenzimidazoles. Quantum chemical analysis of the intramolecular hydrogen bond

Institute of High-Molecular-Weight Compounds, Russian Academy of Sciences. Leningrad State University Translated from Zhurnal Strukturnoi Khimii, Vol. 33, No. 5, pp. 20–27, September–October, 1992.     

Quantum-chemical study of lutetium and ytterbium bis- and tetrakis(phthalocyaninates)

DFT calculations with B3LYP and PBE0 functionals have been carried out to determine the structural parameters, vibrational frequencies, and quadrupole moments of double-decker heavy lanthanide phthalocyaninates Pc₂Lu, (Pc₂Lu)⁺, (Pc₂Lu)^–, Pc₂Yb, (Pc₂Yb)⁺, and (Pc₂Yb)^–. Free valence of the Pc moiety [0.5 in Pc₂Lu and Pc₂Yb; 1.0 in (Pc₂Lu)⁺ and (Pc₂Yb)⁺] is delocalized in small fractions over the carbon atoms. The Pc₂Lu и Pc₂Yb molecules have a high electron affinity (3.2 eV) and a low ionization potential (6.1–6.3 eV). Calculations predict formation of quadruple-decker supercomplex Yb(Pc₂Lu)₂ from two Pc₂Lu molecules and an Yb atom via an exothermic process. The equilibrium structure of the molecules and ions can be characterized by D_4d point symmetry group.     

Quantum-Chemical Model of the Minimal Cluster in Xenotime

Russian Journal of General Chemistry - A quantum-chemical model of the minimal cluster in xenotime has been proposed taking into account the ionic-crystal medium potential. The [YO8]5–...     

1H,4H-1,4-diborabuckminsterfullerene with pyridine molecules and ytterbium endo-atom

The competition between the ytterbium endo-atom and the pyridine exo-molecules as nucleophiles interacting with the electron-deficient 1H,4H-1,4-diborabuckminsterfullerene was studied using the quantum chemical DFT PBE0 method. The equilibrium structural parameters, dipole moments, IR spectra, and exothermic effects of the formation of the C₅₈B₂•Py₂ adduct and the endohedral Yb@C₅₈B₂•Py₂ complex were determined. The concept of the state of oxidation/reduction of an atom in a chemical compound has been clarified. The localization of the ytterbium(II) under a pair of equivalent carbon atoms bonded to boron(III) atoms is predicted. The introduction of ytterbium(II) into the adduct cavity weakens exo-bonds with pyridine molecules without changing the oxidation state of boron(III). Each nitrogen atom retains a lone electron pair, coordinated by a boron(III). The ytterbium(II) endo-atom retains 14 electrons in f states.     

Quantum-Chemical Modeling of the First Coordination Sphere of the Metal Cation in Monazite

Russian Journal of General Chemistry - A model of minimum size clusters in orthophosphates has been suggested. In the case of monazite, the cluster includes a cerium(III) cation with nine oxygen...     

A Quantum Chemical Study of C<Subscript>60</Subscript>Cl<Subscript>30</Subscript>, C<Subscript>60</Subscript>(OH)<Subscript>30</Subscript> Molecules and Fe@C<Subscript>60</Subscript>(OH)<Subscript>30</Subscript> Endocomplex

(U)PBE0/cc-pVDZ method is used to study the structure of C₆₀Cl₃₀, C₆₀(OH)₃₀ molecules and Fe@C₆₀(OH)₃₀ endocomplex. The triplet state of the endocomplex is shown to be the lowest in energy among its four states corresponding to different spin multiplicities and positions of Fe nucleus within the fullerene cavity. This state is characterized by bonding between the iron atom and one of two benzenoid cycles of the carbon cage, six internuclear Fe–C distances (208 pm), and 1s²2s²2p⁶3s²3p⁶3d^7.24s^0.14p^0.3 electron configuration of iron with spin population of 2.36.     

Quantum Chemical Study of Niobium and Tantalum M<Subscript>4</Subscript>O<Subscript>10</Subscript> Oxide Clusters and M<Subscript>4</Subscript>O<Stack><Subscript>10</Subscript><Superscript>–</Superscript></Stack> Anions

Structural parameters and vibrational frequencies of the clusters (T_d)–Nb₄O₁₀, (C_3v)-TaNb₃O₁₀, (D_2d)-Nb₄O ₁₀ ^– , and (C_s)-TaNb₃O ₁₀ ^– were calculated. According to the (U)DFT/SDD calculations with BLYP, B3LYP, and PBE0 functionals magnetization of the anion (D_2d)-Nb₄O ₁₀ ^– is distributed equally among four niobium atoms. In the anion (C_s)-TaNb₃O ₁₀ ^– unpaired electron presumably occupies niobium atoms. The distinction in contributions from Nb atoms in the magnetization of the tantalum-containing cluster grows with the exchange component of the DFT functional in the series of functionals BLYP < B3LYP < PBE0 < UHF.     

Computer simulation of the structure of large molecules: IV. 2D polybuckminsterfullerenes and their boraza analogs with bisingle nitrogen-boron bonds

The equilibrium structure of the dimer (C₆₀)₂, clusters (C₆₀)₉, and (C₆₀)₇ simulating the poly-C₆₀ (VIII) and poly-C₆₀ (XII), as well as their boraza analogs with bisingle nitrogen-boron bonds was determined by the quantum-chemical methods B3LYP/6-31G and PBE0/6-31G. The boraza analogs are characterized by the positive values of calculated (B3LYP/PBE0) energies of the interpolyhedral bonds: 10/20, 35/74, and 54/109 kcal mol⁻¹ respectively per a pair of monomers. The PBE0 method predicts shorter bond than B3LYP, and, in accordance with calorimetric data, positive bonding energy of the polyhedra in (C₆₀)n.     

Structure of gallium(III) monofluoride phthalocyaninate: A quantum chemical study

The B3LYP/6-31G quantum chemical method is used to calculate the structural parameters of [F(PcGaF)₇]^-, [(PcGaF)₆PcGa]⁺ heptamers and the (PcGaF)_∞, polymer of gallium(III) monofluoride phthalocyaninate. The eclipsed (ecl.) configuration (D _4h point symmetry group) corresponds to the energy minimum of the [FGa(Pc)FGa(Pc)F]^- dimer. The calculated equilibrium bond lengths in the central unit of all-ecl. heptamer (GaN 1.988 Å; GaF 1.933 Å) are similar to the bond lengths in the all-ecl. polymer (GaN 1.988 Å and GaF 1.940 Å) and to the respective single crystal X-ray diffraction parameters.     

Spin populations and free valences in excited molecules and in radicals

Using the DFT PBE0 quantum-chemical method, we have determined the spin populations and the free valences of atoms in (i) 3,4-dimethylenefuran; (ii) exciplex 3,4-dimethylenefuran · O₂; (iii) phthalocyaninates PcCu and PcCo; (iv) cations Pc⁺Cu, Pc⁺Co, and Pc⁺Ni; (v) dication [PcAlOAlPc]²⁺; and (vi) two excited triplet diketones: fulleroid-type C₅₈(CO)₂ and cyclododeca-3,4,9,10-tetraene-1,7-dione. Free valences determine atomic contributions to the doubled variance of the many-electron spin. Unlike spin populations, they are insensitive to the choice of the component of a quasi-degenerate spin state of a chemical compound and account for the regioselectivity of the radical addition to 3,4-dimethylenefuran and the photochemical stability of Pc-containing nanosystems. In a triplet state of C¹²H₁₂O₂, the spin density and the free valence are localized on a single carbonyl group, whereas, in a triplet state of C₅₈(CO)₂, they are delocalized.