Metal-Containing Nanocomposites Based on 1-Vinyl-1,2,4-triazole–Crotonic Acid Copolymer

Russian Journal of Applied Chemistry - To prepare silver metal–polymer nanocomposites and coatings on pure iron and steel electrodes, electropolymerization of 1-vinyl-1.2.4-triazole with...     

Polymer chelates of fe,co, and ni based on 5-ethynyl-2H-tetrazole

Electrochemical preparation of chelates based on 5-ethynyl-2H-tetrazole on the surface of iron, cobalt, and nickel results in colored polymer film at low current density. At higher current density the polymer chelate is transferred into the solution. The composition and structure of the polymer chelates has been studied by infrared spectroscopy, elemental analysis, and thermogravimetric analysis. The mechanism of the chelates formation in various solvents has been suggested.     

Formation of composite polymeric coatings on pure iron

We have demonstrated possibility of electrochemical preparation of metal-polymer nanocomposites on pure iron and steel electrodes in the course of electrochemically initiated polymerization of 1-vinyl-1,2,4-triazole accompanied with cathode formation of metals. Silver nanoparticles have been uniformly distributed in the formed polymer matrix. The prepared composites possess excellent thermal stability.     

Investigation of characteristics of electrically-controlled liquid-crystal retarders

We present results of studies of main characteristics of electrically-controlled retarders fabricated on the basis of planar- and twist-oriented liquid crystals (LC). The investigated characteristics are time of switching and the calibration curve of controllable phase incursion. Computer simulation and numerical calculations of the processes of LC director reorientation in an external electric field have been performed. Based on LabView software a special program is constructed for computer control of the shape, frequency, and amplitude of the external voltage applied to LC cell. An experiment has been implemented on realization, with use of this program, of the prescribed phase retardation of an optical beam. Calculated results agree with experimental data.     

Amplitudes of multichannel scattering on a two-dimensional potential barrier with constant height

The immersing method is applied to solve the N-channel scattering problem for concrete potential. In particular, we consider the particle scattering on a two-dimensional potential barrier, which is constant in the scattering direction and arbitrary in the cross-section direction. For this case the scattering amplitudes t _m and r _m (1,2, m= ...,N) are determined. A transition from the obtained formulas to the case of ?-potential is performed. For this case transmission amplitudes t _m and reflection amplitudes r _m are obtained. It is also shown that the product of transmission and reflection amplitudes along the channel m does not depend on the scattering channel.     

Estimation of higher derivatives of the solutions for a class of almost hypoelliptic equations in an infinite strip

The paper considers regular, almost hypoelliptic equations in an infinite strip. It is proved that all solutions of almost hypoelliptic equations, which are of some special space, belong to the Gevrey class.     

Smoothness of solutions of almost hypoelliptic equations

A two-dimensional linear differential operator P(D) = P(D ₁, D ₂) is called almost hypoelliptic if all derivatives D ^α P of the characteristic polynomial P(ζ) = P(ζ ₁, ζ ₂) are estimated by P(ζ). Assuming that {Ω _κ = (x ₁, x ₂) ∈ E ² : |x ₁| < κ, x ₂ ∈ R ¹}, the paper proves that if the width κ of the strip Ω _κ exceeds some C = C(P) > 0, then all solutions {u} of the almost hypoelliptic equation P(D)u = 0 in a Sobolev space are infinitely smooth functions with respect to x ₁.     

Focusing of X-Rays inside a single crystal under the temperature gradient

A method for experimental investigation of the effect of X-ray focusing inside a single crystal subject to temperature gradient is proposed. The definition of diffracted X-ray focusing inside the crystal is shown to increase depending on the value of temperature gradient.