Criteria for bounded and totally bounded sets from <Emphasis Type="Italic">F</Emphasis>-algebras of holomorphic functions described by maximal functions in a half-plane

Classes of holomorphic functions determined by maximal functions are studied in the upper half-plane. Criteria for bounded and totally bounded sets for these classes are proved.     

Carbon nanostructures based on IR-pyrolyzed polyacrylonitrile

For the first time, it is shown that IR pyrolysis of a composite based on polyacrylonitrile and gadolinium chloride produces a metal-carbon nanocomposite where metal particles with a size of 4–11 nm form a fine dispersion in the structure of the carbon matrix. The carbon phase of the composite is a carbon-carbon nanocomposite with a structure in which carbon nanoparticles (bamboolike carbon nanotubes, carbon nanospheres, or octahedral carbon nanoparticles) are incorporated into the matrix graphite-like material.     

Properties of integral transforms with λ-multiplicative kernels

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 4, pp. 479–484, April, 1989.     

Lanthanide(III) (Eu,Gd, Tb,Dy) Complexes Derived from 4‐(Pyridin‐2‐yl)methyleneamino‐1,2,4‐triazole: Crystal Structure,Magnetic Properties,and Photoluminescence

The reaction of lanthanide(III) nitrates with 4‐(pyridin‐2‐yl)methyleneamino‐1,2,4‐triazole (L) was studied. The compounds [Ln(NO₃)₃(H₂O)₃] ? 2 L, in which Ln=Eu ( 1 ), Gd ( 2 ), Tb ( 3 ), or Dy ( 4 ), obtained in a mixture of MeCN/EtOH have the same structure, as shown by XRD. In the crystals of these compounds, the mononuclear complex units [Ln(NO₃)₃(H₂O)₃] are linked to L molecules through intermolecular hydrogen‐bonding interactions to form a 2D polymeric supramolecular architecture. An investigation into the optical characteristics of the Eu³⁺‐, Tb³⁺‐, and Dy³⁺‐containing compounds ( 1 , 3 , and 4 ) showed that these complexes displayed metal‐centered luminescence. According to magnetic measurements, compound 4 exhibits single‐ion magnet behavior, with ΔE_eff/k_B=86 K in a field of 1500 Oe.     

Low-Temperature Oxidation of Carbon Monoxide: The Synthesis and Properties of a Catalyst Based on Titanium Dioxide,Nanodiamond, and Palladium for CO Oxidation

A catalyst based on TiO₂ and nanodiamond with a 10 wt % palladium content of the catalyst was synthesized. The effect of the nanodiamond content on the catalytic properties in a reaction of CO oxidation at room temperature and low concentrations of CO (<100 mg/m³) was studied. It was established that, at a nanodiamond content of the catalyst from 7 to 9 wt % and a palladium content of 10 wt %, the rate of CO oxidation reached a maximum, and it was higher by a factor of 2.5 than the rate of CO oxidation on a catalyst based on pure TiO₂, which included palladium clusters. With the use of transmission electron microscopy, XRD X-ray diffractometry, and X-ray photoelectron spectroscopy, it was found that the clusters of palladium covered with palladium oxide with an average cluster size of 4 nm were formed on the surface of the TiO₂ carrier. It was assumed that the catalyst synthesized is promising for applications in catalytic and photocatalytic air-cleaning systems.     

Synthesis of Iron and Cobalt Nanoparticles in an IR-Pyrolyzed Chitosan Matrix

Russian Journal of Physical Chemistry A - Metal–carbon nanocomposites IR-CS/Fe and IR-CS/Co in the form of metal nanoparticles dispersed in a carbon matrix are synthesized via the IR...     

Schrödinger equation in the drift theory of cold plasma

A two-dimensional flow of an ideal neutral plasma across a magnetic field B is considered. The magnetic field is frozen in the plasma and is proportional to the plasma density n: Bn. All ions are assumed to have the same magnetic moment and, correspondingly, mechanical moment l. It is shown that the magnetic moment is doubled due to the drift motion. The equations of plasma hydrodynamics, to which terms proportional to l² have been added, are investigated within the framework of drift theory. The forces are due to the additional pressure of the drift velocity and are proportional to the Bohm potential . The equations derived by the Madelung transformation (transition to the function: ) are reduced to the Schrödinger cubic equation, which yields a new type of dynamics. It is shown that solitons, or nonspreading wave packets, which correspond to magnetosound waves in linear theory, and steady states can occur in the plasma described.Bauman State Technical University, Moscow. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 38, No. 11, pp. 1133–1145, November, 1995.