Molecular magnetic structures based on high-spin intermediates of low-temperature radiolysis of azido derivatives and possibilities of their use in undulator systems

High-spin intermediates with S = 2 generated by γ-radiolysis of triazidopyridines at 77 K were studied using the ESR method in the X range. Their thermal stability at 77–240 K with the transition to the one-electron states (S = 1/2) due to intermolecular reactions at 100–200 K was shown. The study of saturation processes elucidated an effect of a sharp nonlinear increase in the intensity of the ESR signals from quintet dinitrenes with an increase in the microwave field power higher than 10 mW. This effect can be applied as a method of identification of high-spin molecules obtained together with other paramagnetic products of low multiplicity and in the search for systems with molecular magnetism. A set of principles was developed for making compact undulators based on static molecular magnetic structures using dynamic effects upon the interaction of an electron beam with a laser pulse counter.     

Plasmonic Nanobiosensor with Chain Reaction Amplification Mechanism

Herein we demonstrate a plasmonic nanobiosensor that explores chain reaction amplification mechanisms to transduce chemical signals released in biocatalytic reactions, turning optical signals into a visual spectral range. The sensor has a very simple design: gold nanoparticles resting in the surface of a grafted P2VP film. Changes in the gold nanoparticles’ position causes changes in the plasmon coupling mode. This is detected by means of a maximum absorbance shift.     

Problem of envelopes of locally convex spaces

Harkov. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 1, pp. 205–207, January–February, 1990.     

A swirling jet with vortex breakdown: three-dimensional coherent structures

The paper reports on shape of a three-dimensional coherent structure in a velocity field of a high-swirl turbulent jet with the bubble-type vortex breakdown. A set of the 3D instantenous velocity fields was measured by using the tomographic particle image velocimetry (tomographic PIV) technique and processed by the proper orthogonal decomposition (POD) method. The detected intensive coherent velocity component corresponded to a helical vortex core of the swirling jet and two secondary spiral vortices. The entire coherent structure was rotating around the jet axis in compliance with the direction of the flow swirl. From the 3D data it is concluded that the dynamics of the strsucture can be described by a traveling wave equation: Re[A(y, r)·e ^{i(mθ + ky - ωt)}] with the number of the spiral mode m = +1 for positively defined k and ω.     

Method of systems of equations of P-adic coverages for fractal analysis of events

Self-similarity in high-energy multiparticle production processes is discussed. A parton shower and hadronization are assumed to give rise to a set of particle with a fractal structure. It is noted that the box counting (BC) and P-adic coverage (PaC) methods determine the fractal dimension with permissible 1/k ranges. A new method of systems of equations of P-adic coverages (SePaC) is proposed that extends the PaC method to fractals with permissible m/k ranges. The SePaC method is shown to determine the fractal dimension of a shower with a prescribed accuracy, the number of fractal levels, the type of the cascade (random or regular), and its structure.