Crystal structure and magnetic properties of the binuclear copper(II) complex with 2,6-diformyl-4-tert-butylphenol bis(imidazolinylhydrazone)

The binuclear copper(II) complex with 2,6-diformyl-4-tert-butylphenol bis(imidazolinylhydrazone) (H₃L), [Cu₂(H₂L)Br₂]ClO₄ (I), was synthesized. The structure of complex I was determined by X-ray diffraction analysis. The antiferromagnetic exchange interaction (2J = ?108 cm^?1) translated through the phenoxide oxygen atom is observed between the copper(II) ions. The exchange parameter was calculated by the quantum-chemical “broken symmetry” method.     

Synthesis,structure, and complexing ability of a novel ligand system, 1-benzyl-2-benzimidazolylhydrazone of pyrrol-2′-carbaldehyde

A new ligand system, the product of condensation of pyrrol-2-carbaldehyde and 1-benzyl-2-hydrazinobenzimidazole is synthesized. Possible tautomers of the hetarylhydrazone are calculated and its acidebase properties studied, as well as its complexing ability with respect to divalent ions of copper, nickel, zinc, and chromium.     

2-Acetylbenzimidazole phthalazin-1-ylhydrazone and its complexes with transition metals

2-Acetylbenzimidazole phthalazin-1-ylhydrazone (H₂L) and its complexes with Cu(II), Ni(II), Mn(II), Zn(II), Cd(II), and Fe(III) were synthesized. The structure of the complexes was determined on the basis of their elemental compositions, IR and ESR spectra, and thermogravimetric, conductometric, and magnetochemical studies. The dinuclear copper complex [CuL]₂ was found to display strong antiferromagnetic exchange between the copper(II) ions. The ionization constants, energies of possible conformations of the hydrazone, geometric parameters of the dinuclear complex, and exchange parameters were calculated by quantum-chemical methods.     

Utility function under risk: An ergodic approach

A new approach to the construction of utility under uncertainty is proposed. The approach relies on a binary relation on the set of outcomes of a probabilistic process. Kingman’s subadditive ergodic theorem is applied to prove the existence of a utility function. The differences between the proposed approach and the theories of von Neumann-Morgenstern and Savage are considered. Resolution of some classical paradoxes is demonstrated. __________ Translated from Nelineinaya Dinamika i Upravlenie, No. 3, pp. 261–276, 2003.     

Ordering Web Pages by Cross-Link Information

We construct an ordered family of web pages that allow for the canonical structure of the link matrix. The multirelation method is applied to obtain a restriction of this family and to investigate the kind of orderings that arise. A new interpretation of the link matrix is proposed, reducing the number of equivalence classes in its canonical form. The discussion is illustrated with some prototype examples. __________ Translated from Prikladnaya Matematika i Informatika, No. 18, pp. 93–107, 2004.     

Transition metal complexes with 2-(<Emphasis Type="Italic">N</Emphasis>-tosylamino)benzaldehyde 1-phthalazinylhydrazone

2-(N-Tosylamino)benzaldehyde 1-phthalazinylhydrazone (H₂L) and its complexes with Cu(II), Ni(II), and Mn(II) were obtained. The acid-basic properties of the hydrazone were studied using potentiometry and spectrophotometry. The experimental data were compared with the results of quantum-chemical DFT calculations. The structure of the binuclear complex [Cu₂L₂] was determined using X-ray diffraction. The broken symmetry approach was used to calculate the exchange coupling constant of the copper ions.     

Effect of the nature of non-bridging donor atoms on the structure and magnetic properties of binuclear copper(II) complexes with heterocyclic azomethyne ligands

Journal of Structural Chemistry - Pyrazolate bridging binuclear copper(II) complex with a heterocyclic azomethyne ligand (a condensation product of 1,3-diaminopropanol-2 with...     

Transition metal complexes with 2,6-Di-tert-butyl-p-quinone 1′-phthalazinylhydrazone

2,6-Di-tert-butyl-p-quinone 1′-phthalazinylhydrazone (HL) was synthesized. Quantum-chemical calculations of the energy of possible tautomeric forms of the hydrazone were performed. The complexes of Zn(II), Hg(II), Ni(II), and Cu(II) of ML₂ composition were obtained and studied. The structure of the NiL₂ complex was established by XRD. It was shown by DFT-D3 calculations that the cis-structure of the complex is stabilized due to the interligand dispersion interaction.     

Direct electrochemical and chemical syntheses, structures, and properties of metal complexes of azo compounds with an additional azo group in the amine fragment

New complexes of Cu(II), Co(II), and Ni(II) with 1-phenyl-3-methyl-4-[(4-phenylazophenyl)hydrazono]-5H-pyrazol-5-one and 1-phenyl-3-methyl-4-[4-methyl-2-(4-methylphenylazophenyl)hydrazono]-5H-pyrazol-5-one are synthesized by the chemical and electrochemical methods and characterized by IR, ¹H NMR, and EXAFS spectroscopy and X-ray diffraction analysis. Depending on the complexing metal and position of the additional azo group, the latter is involved or not in coordination with the metal to form heterounit five- and six-membered metallocycles.