The quantum graph model of junction of zig-zag and armchair signle-wall carbon nanotubes is considered. The spectrum is completely described. A condition on appearance of states
localized near the interface is provided. All localized states are explicitly calculated. 

In this paper we propose a method for parameterization of fractal clusters which allows us to represent as quasi-fractals. The quasi-fractals are self-similar objects with a slower (logarithmic) scaling in comparison with conventional fractals. The proposed method on flat clusters, obtained by the model of Witten-Sander in which dipole-dipole and charge-dipole interactions between particles were additionally introduced is tested. The results suggest that
these clusters can be interpreted as fractals and as quasi-fractals but in the second case we have a clear connection between external conditions of growth and geometry of the clusters (in terms of new fitting parameters). 

This paper presents the experimental results of determining friction factors for two microchannels with circular cross-sections: rectilinear and curvilinear. The inner diameter of the channels is 68.9 and 70.3 mm. The Reynolds numbers ranged from 320 to 3215. Pressure measurements are carried out simultaneously in 16 locations along the straight microchannel and in 12 locations for the curved microchannel. The friction factor for the straight microchannel is in good agreement with the theoretical value for the round smooth tubes. For the curved microchannel, the friction factor value of the curved section is less than the reference value for smoothly curved tubes. The Reynolds number for the laminar-turbulent transition in a straight microchannel is 2300–2600. In the curved microchannel the transition is not observed. The length of the developing region was identified, and the inlet minor loss coefficient is calculated.

The paper presents results of computer simulation of the probe contact mode atomic force microscope (AFM) in interaction with the surface of a nonlinear elastic polymer material. The modeling took into account not only the forces of mechanical response to indentation of the probe into the polymer, but also such important factors as to the nanoscale surface tension forces associated with the curvature of the sample surface and intermolecular interactions of the van der Waals forces. The corresponding contact boundary-value problem is solved numerically to determine the force of the nonlinear elastic response. Comparison of the results for the nonlinear case with a classical solution of the Hertz problem for linearly elastic medium held. For the intermolecular and surface forces, the analytical formulas relating the strength of the interaction with the geometry of the probe and the distance between its apex and the sample surface. 

Intermolecular interactions give rise to the incremental polarizabilities in molecular ensembles that triggers  the Raman vibrational transitions forbidden by selection rules for isolated molecules. By using the diagrammatic technique, a new channel of the long-range binary polarizability induction is established, for which the outer field and the electric field of a molecule non-linearly polarize the other particle. An account for this channel is found to  be crucial for a successful quantitative interpretation of the СО₂ ν₃ Raman band induced by the СО₂-СО₂ and СО₂-Ar collisions.

Structural and electric properties of the composite polymeric films with disperse filler (an amorphous dioxide of silicon) was investigated. Research of samples by a Small Angle X-ray method has shown that the surface of particles is smooth and the increase in its concentration doesn't lead to formation of agglomerates. Data of thermoactivation spectroscopy shows that the electrets state relaxation in investigated samples is caused by the expense of their volume conductivity. To explain growth of conductivity with increase in percentage of disperse particles it is possible occurrence of additional conductivity on a surface of particles of a filler.

A problem of high-temperature phase transitions for coupled (dressed) atom-light states and polaritons is considered. An achievement of thermodynamically equilibrium phase for such a states is possible under interaction between rubidium atoms and quantum irradiation in the presence of optical collisions (OCs) with ultra-high pressure buffer gas particles being under high temperatures (up to 530 K). Special metallic  micro-waveguides permitting  photon trapping are proposed for purpose of the enhancement of atom-field interaction. A photonic phase transition to the superradiant state, determined by the equilibrium state of coupled system, was theoretically predicted. It have been  shown that under large negative atom-light detunings and certain waveguide parameters photon-like low branch (LB) polaritons undergo high-temperature phase transition to  condensate (superfluid) state.

The influence of quantum dots CdSe/ZnS on the photoconductive and on spectral properties of polyimide matrices have been investigated. The photocurrent increase has been obtained (on one - two order of magnitude) in thin film organic system with semiconductor nanoparticles. Bathochromic shift for the investigated nanocomposite have been found in the near IR range. The results received can be interesting for micro- and a nanoelectronics, solar energy elements, etc.

Aluminum and antimony-doped zinc oxide nanostructures, oriented on the zinc metal substrates were obtained via hydrothermal (HT) method. It is established that the optimal synthesis parameters (T = 180 ° C, t = 6 h, the solution concentration of EDA C = 4.5 M) promotes the formation of less defective and more ordered structures. According to XRD, photoluminescence and Raman spectroscopy the properties of ZnO nanorods, doped with aluminum or antimony vary depending on the concentration of dopants.

Phase formation in the liquid phase separation region of the SiO₂-TiO₂ system was experimentally studied. A thermodynamically optimized phase diagram of the SiO₂-TiO₂ system has been constructed. The curve of phase spinodal decomposition was calculated. It is shown that the phase decomposition in the liquid phase region occurs through a spinodal mechanism at the melt rapid cooling. It has been experimentally demonstrated that this phenomenon leads to the formation of hierarchically organized nanostructures.

The catalytic synchronous mechanism effect of deposited nanoscale layers of chemostimulaters V and V₂O₅ on the surface of InP and GaAs in the process of thermal oxidation these semiconductors was established. The proof of this mechanism is a abrupt decline in the effective activation energy of processes, a significant increase in the rate of film growth compared with its own oxidation, regeneration of active particles containing V⁺⁵ (data of XRD, IRS, AES), the independence of the kinetic parameters of oxidation processes on the amount of applied catalyst. Thermal oxidation of InP in the presence of nanoislands of V₂O₅ in the initial stage of the process occurs mainly in those catalytically active centers (accordingly to the data of SEM, AES).