An ARPES view on the high-<Emphasis Type="Italic">T</Emphasis><Subscript>c</Subscript> problem: Phonons <Emphasis Type="Italic">vs.</Emphasis> spin-fluctuations

We review the search for a mediator of high-T _c superconductivity focusing on ARPES experiment. In case of HTSC cuprates, we summarize and discuss a consistent view of electronic interactions that provides natural explanation of both the origin of the pseudogap state and the mechanism for high temperature superconductivity. Within this scenario, the spin-fluctuations play a decisive role in formation of the fermionic excitation spectrum in the normal state and are sufficient to explain the high transition temperatures to the superconducting state while the pseudogap phenomenon is a consequence of a Peierls-type intrinsic instability of electronic system to formation of an incommensurate density wave. On the other hand, a similar analysis being applied to the iron pnictides reveals especially strong electron-phonon coupling that suggests important role of phonons for high-T _c superconductivity in pnictides.     

On complete parabolic surfaces

Sufficient conditions are found for complete parabolic surfaces to be cylindrical in Euclidean space. A complete (l-2)-[resp. (l-3)]-parabolic surface is a cylinder with (l-3)-[resp. (l-4)]-dimensional generators if the order of flattening of the surface isl-2 [resp.l-3] and the strong zero-index is constant.Translated from Ukrainskií Geometricheskií Sbornik, Issue 28, 1985, pp. 8–19.     

Behavior of nonautonomous oscillatory systems under the effect of small random perturbations in a resonance case

The limiting behavior of a solution of a nonlinear stochastic differential equation describing a nonautonomous oscillatory system with small random perturbations is investigated. The resonance case is considered.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 12, pp. 1645–1651, December, 1992.     

Negative exterior curvature foliations on compact Riemannian manifolds

The topological structure of compact Riemannian manifolds that admit hyperbolic foliations is studied. Translated fromMatematicheskie Zametki, Vol. 62, No. 5, pp. 673–676, November, 1997. Translated by S. S. Anisov     

New Ambidentate Ligands—Azomethin Derivatives of 1-Amino-3-methylbenzimidazoline-2-thion

Metal chelates ML₂ (M = Co²⁺, Ni²⁺, Cu²⁺, Cd²⁺) are synthesized from azomethin derivative of amino-3-methyl-benzimidazoline-2-thion and 2-N-tosylaminobenzaldehyde (HL) and their compositions and structures are determined from the electronic mass spectrometry, IR and electronic spectroscopy and magnetochemistry data.     

Tunnel magnetoresistance oscillations in a ferromagnet-insulator-ferromagnet system

A model of spin-dependent transport of electrons through a ferromagnet-insulator-ferromagnet structure is developed. It takes into account the image forces, tunnel barrier parameters, and effective masses of an electron tunneling in the barrier and in the ferromagnetic electrode in the free electron approximation. Calculations for an iron-aluminum oxide-iron structure show that, with an increase in the bias voltage, the tunnel magnetoresistance decreases monotonically and then breaks into damped oscillations caused by the interference of the electrons’ wave functions in the conduction region of the potential barrier. The image forces increase the tunnel magnetoresistance by two or three times.     

Photochemistry of <Emphasis Type="Italic">N</Emphasis>-substituted salicylic acid amides

The products of photolysis of N-substituted salicylic acid amides, viz., 2-hydroxy-3-tert-butyl-5-ethylbenzoic acid N-(4-hydroxy-3,5-di-tert-butylphenyl)amide (1) and 2-hydroxybenzoic acid N-[3-(4-hydroxy-3,5-di-tert-butylphenyl)prop-1-yl]amide (2), in heptane were studied by optical spectroscopy and stationary and nanosecond laser photolysis (Nd: YAG laser, 355 nm). It was shown by the method of partial deuteration of amides 1 and 2 that they exist in both the unbound state and as complexes with intraand intermolecular hydrogen bond. Amides 1 and 2 are subjected to photolysis, which results in the formation of a triplet state and phenoxyl radicals RO? presumably due to the absorption of the second photon by the excited singlet state. The formation of radical products due to N–H bond ionization was not observed. The main channel of decay of the triplet state and radicals RO? is triplet–triplet annihilation and recombination (k _r ≈ 2.3?10⁸ L mol^–1 s^–1), respectively. The UV irradiation of compounds 1 and 2 leads to the excitation of the amide groups, and no formation of radical products due to N–H bond ionization was observed.     

Molecular and associative properties of <Emphasis Type="Italic">N</Emphasis>-vinylpyrrolidone copolymers with <Emphasis Type="Italic">N</Emphasis>-crotonoylaminocaproic acid in dilute solutions

The random copolymers of N-vinylpyrrolidone and N-crotonoylaminocaproic acid attractive for the modification of drugs are studied by static and dynamic light scattering, viscometry, and sedimentation-diffusion analysis. The content of functional groups in the copolymers is 14.1–27.0 mol %. Analysis is performed in 0.1 N aqueous solutions of sodium acetate and dimethylformamide. The molecular characteristics of the copolymers with various composition are determined. It is shown that supramolecular structures are present in copolymer solutions and their amount depends on copolymer composition; the effect of solvent on the formation of these structures is ascertained.