Abstract:
In this work the data of superhardness effect of thin film coatings based on diborides transition metals are presented. The results of substructural characteristics of the synthesized films are discussed. The structure, physicomechanical characteristics of the films are investigated. The formation mechanism sp2 and sp3 chemical bonds are described. The measurements of the hardness and the elasticity module of the coating are conducted.

Abstract:
In this note we present the results of several searches for physics beyond the standard model. All final states use 2 inverse fb\of data produced at Tevatron in p-pbar collisions at 1.96 TeV and collected by the CDF Run II detector. None of the analysis is heavily optimized for any specific model. All signatures contain missing transverse energy in the final state and all, except for one, have at least one photon in the final state. Unfortunately, no interesting excesses of events over the SM prediction are observed in any final states, except may be for the last one.

Abstract:
Two different constructions of an invariant of an odd dimensional hyperbolic manifold in the K-group $K_{2n-1}(\bar \Bbb Q)\otimes \Bbb Q$ are given. The volume of the manifold is equal to the value of the Borel regulator on that element. The scissor congruence groups in non euclidian geometries are studied and their relationship with algebraic K-theory of the field of complex numbers is discussed.

Abstract:
Lie bialgebras were introduced by Drinfeld in studying the solutions to the classical Yang-Baxter equation. The definition of a bialgebra in the sense of Drinfeld (D-bialgebra), related with any variety of algebras, was given by Zhelyabin. In this work, we consider Malcev bialgebras. We describe all structures of a Malcev bialgebra on a simple non-Lie Malcev algebra.

Abstract:
I compute explicitly the regulator map on $K_4(X)$ for an arbitrary curve $X$ over a number field. Using this and Beilinson's theorem about regulators for modular curves ([B2]) I prove a formula expressing the value of the $L$-function $L(E,s)$ of a modular elliptic curve $E$ over $\Bbb Q$ at $s=3$ by the double Eisenstein-Kronecker series.

Abstract:
Raman spectroscopy is one of the most informative probes for studies of material properties under extreme conditions of high pressure. The Raman techniques have become more versatile over the last decades as a new generation of optical filters and multichannel detectors become available. Here, recent progress in the Raman techniques for high-pressure research and its applications in numerous scientific disciplines including physics and chemistry of materials under extremes, earth and planetary science, new materials synthesis, and high-pressure metrology will be discussed. 1. Introduction Raman spectroscopy probes elementary excitations in materials by utilizing inelastic scattering processes of a near ultraviolet, visible, and near infrared monochromatic light source (commonly a laser). The scattered radiation forms a spectrum near that of the excitation laser wavelength. The results are easy accessible for recording as very sensitive detectors are available in this spectral range. The main strength of the Raman spectroscopy is the ability to provide a great wealth of easily analyzable information very rapidly. The Raman spectra can be used to characterize the elastic, vibrational, electronic, and magnetic subsystems through the observations of the corresponding elementary excitations. The Raman spectra of phonons (lattice and molecular vibrations) have a very high selectivity, thus permitting finger-printing analysis of the materials phase that can include its composition and state. The information about the crystal structure is provided through the vibrational selection rules, which govern the Raman activity of phonon modes depending on their symmetry and the wave vector. The access to electronic and magnetic states is attained through the coupling to the vibrational states, and through the observations of the spectra of the electronic and magnetic excitations. As the spectra of elemental excitation change with the application of pressure, the associated phenomena can be effectively studied by in situ Raman spectroscopy. These include changes in the energy of the vibrational excitations, phase transformations (including melting), chemical reactivity, and magnetic and electronic transitions. This information can be used for multiple applications because these transformations are of interest for fundamental physics and chemistry, materials, and earth and planetary science. Last (but not least), Raman spectroscopy is a great tool for measurements of pressure at both extremely low and extremely high temperatures. Previous comprehensive reviews on Raman

Abstract:
The problem of the null-modes existence and some particularities of their interaction with nonlinear vortex-wave-like structures is discussed. We show that the null-modes are fundamental elements of nonlinear wave fields. The conditions under which null-modes can manifest themselves are elucidated. The Rossby-Hasegawa-Mima (RHM) model is used for the illustration of features of null-modes-waves interactions.

Abstract:
The confinement mechanism proposed earlier by the author is employed for to compute the decay constants $f_P$ corresponding to leptonic decays $P\to l^\pm+\nu_l$, $l=\mu, e$, where $P$ stands for any meson from $\pi^\pm$, $K^\pm$. For this aim the weak axial form factor of $P$-meson is nonperturbatively calculated. The study entails estimates for parameters of the confining SU(3)-gluonic field in charged pions and kaons. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field at the scales of the mesons under consideration. Further the obtained results are applied to the problem of chiral symmetry breaking in quantum chromodynamics (QCD). It is shown that in chirally symmetric world masses of pions and kaons are fully determined by the confining SU(3)-gluonic field among (massless) $u$, $d$ and $s$ quarks and not equal to zero. Accordingly chiral symmetry is sufficiently rough approximate one holding true only when neglecting the mentioned SU(3)-gluonic field between quarks and no additional mechanism of the spontaneous chiral symmetry breaking connected to the so-called Goldstone bosons is required. Finally, a possible relation of the results obtained with a phenomenological string-like picture of confinement is discussed too.

Abstract:
On the basis of the confinement mechanism earlier proposed by author the electric formfactor of $\pi^0$-meson is nonperturbatively calculated. The latter is then applied to describing electromagnetic decays $\pi^0\to2\gamma$ and $\pi^0\to e^+e^-\gamma$ which entails estimates for parameters of the confining SU(3)-gluonic field in $\pi^0$-meson. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field.

Abstract:
On the basis of the confinement mechanism earlier proposed by author, the electric form factor of $\eta$-meson is nonperturbatively calculated. The latter is then applied to describe electromagnetic decay $\eta\to2\gamma$ which entails estimates for parameters of the confining SU(3)-gluonic field in $\eta$-meson. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field.