Kucherenko M.G., Chmereva T.M. NONRADIATIVE ENERGY TRANSFORMATION OF ELECTRONIC EXCITATIONS IN MULTILAYER PLANAR NANOSTRUCTURES "METAL — INSULATOR" ^{[№ 9 ' 2015]} Characteristics of quasistatic field (near field) of a dipole source in a threelayer planar system are calculated by method of constructing dipoles images in conductive and dielectric media. In the dielectric medium a generation of collective electronic excitations — Frenkel excitons with the formation of the respective resonant frequency bands with frequency dependence of dielectric constant of the molecular crystal is considered. It is shown that the penetration of the field in each of the environments greatly depends on the balance between the use of the oscillation frequency of the primary (donor) dipole and frequencies of exciton and plasmon resonances of molecular crystalline and conductive environments. On the basis of the found characteristics of the fields frequency dependence of the nonradiative transfer rate of electronic excitation energy donor molecules, localized in a thin inner layer, which is in the same layer acceptor metal nanoparticles of spherical shape is calculated. The influence on the rate of energy transfer configuration characteristics of the composite system, as well as the characteristic frequency parameters of conductive materials is investigated.
Kucherenko M.G., Izmodenova S.V., Chmereva T.M., Kruchinin N.Yu., Podresova N.S. DIFFUSION CONTROLLED REACTION KINETICS IN NEARSURFACE SHELL OF FULLERENETUBULENE NANOPARTICLE WITH ADSORBED MACROMOLECULAR CHAIN ^{[№ 9 ' 2013]} A mathematical model of the electronic excitation crossannihilation kinetics of oxygen molecules and organic dyes, connected with macromolecule linkers adsorbed on a fullerene or carbon nanotube (tubulene) surface in a solution is proposed. The model taken into account a nonhomogeneous character of the radial distribution of polymeric chain linkers forming like profile of oxygen singlet excitations generation centers and furthermore diffusion relaxation features of its density in the nearsurface zone of the different curvature radius. Expressions are produced for the time — dependent signal of annihilation delayed fluorescence of dye molecules and they are different for the spherical and tubular nanoparticle. The oxygen molecules thermal diffusion which obtained by the formation of a nonhomogeneous temperature field in the nearsurface layer was taken into account. The estimation of the thermal diffusion effect value is made and its influence on the longtime luminescence kinetics of dye molecules connected with polymeric chains adsorbed on fullerene/tubulene kernels is obtained.
Kucherenko M.G., Izmodenova S.V., Chmereva T.M. "KINETIC LENS" EFFECT IN INTERMOLECULAR ENERGY TRANSFER NEAR METALLIC NANOPARTICLE WITH MACROMOLECULAR LINKER ^{[№ 1 ' 2013]} A mathematical model of the electronic excitation radiationless energy transfer kinetics (Forster Resonace Energy Transfer — FRET) between molecules, connected with the spherical metal nanoparticle by means macromolecular linkers is proposed. It is shown that in such systems like the cluster type a complex energy transfer kinetic regime is formed as a result of the rate variation of the local plasmoninitiated inductive — resonant transition for the donoracceptor pairs which generate various geometrical configurations of molecules with nanoglobule. Observed picture of the population dynamics of reagents excited states resembles a result of the construction of the optical image of some object by means of a collecting (or scattering) lens.
Kucherenko М.G., Chmereva T.M. PULSE FORM OF DYES CROSSANNIHILATION DELAYED FLUORESCENCE IN OXYGEN INCLUDED NANOPOURES MATERIALS ^{[№ 9 ' 2012]} The mathematical model of the kinetics of crossannihilation reactions of electronic excitations of molecules of oxygen and organic luminophors which proceeds in spherical nanoporous is developed. The model considers the lateral diffusion of the oxygen in the surface layer and it desorption in internal area of a cell. The desorption influence on the signal intensity of the delayed fluorescence of luminophor molecules is shown.
Kislov D.А., Kucherenko М.G., Chmereva T.M. ENHANCEMENT OF NONRADIATIVE ELECTRONIC EXCITATION ENERGY TRANSFER BETWEEN MOLECULES PLACED NEAR A CONDUCTING BODIES ^{[№ 4 ' 2011]} In this work radiationless electronic excitation energy transfer between molecules placed near conductive bodies is investigated. A mechanism involving localized surface plasmons may be an effective mechanism for energy transfer in this system is shown. A comparative evaluation of the efficiency of direct dipoledipole and plasmon channels of energy transfer is carried out. A dominant contribution of the plasmon mechanism in the overall rate of energy transfer in the close proximity of molecules on the metal surface and the appropriate choice of the environment dielectric properties is predicted.
Kucherenko М.G., Chmereva T.M. , Kislov D.А. INCREASE OF RADIATIONLESS ELECTRONIC EXCITATION ENERGY TRANSFER RATE BETWEEN MOLECULES PLACED NEAR A SOLID FLATE SURFACE ^{[№ 1 ' 2011]} A radiationless electronic excitation energy transfer between molecules placed near a conductor flat surface is investigated. A mathematical model is proposed where the condensed phase boundary taken into account by introduce of an effective dipoleimagine and the medium dielectric permeability on the electronic transfer frequency in the donor molecule. A distance dependence and anisotropy characteristics of the energy transfer rate are determined in the donoracceptor pare of adsorbates. In a purely quantum model based on the secondary quantization formalism it is showed that a mechanism of surface plasmons can be effective for the energy transfer in such systems. Comparative estimates of direct and plasmonic energy transfer channels efficiencies are made. The dominant contribution of the plasmonic mechanism to total energy transfer rate (over 12 power) is predicted by placed molecules near the metal surface and a weak plasmon decay.
Kucherenko M.G., Kruchinin N.Yu., Chmereva T.M. KINETICS OF THE QUASISTATIC QUENCHING OF EXCITED CENTERS, THE SURFACE LAYER OF SEGMENTS OF MACROMOLECULAR CHAINS IN NANOPORES AND IN THE VICINITY OF NANOPARTICLES ^{[№ 5 ' 2010]} We studied the kinetics of the radiationless transfer of electronic excitation energy between molecules, located inside the spherical nanopolosti filled macromolecular chains. The case was studied where the donor centers are located on the surface of the cavity, and the acceptor molecules attached to the chain segments. We built a mathematical model that takes into account the random variation of the conformation of macromolecules, which lead to modulation of the radius of the donoracceptor pair, supported by molecular dynamic calculations. We studied also the cases of systems "reverse geometry" in the deployment of macrochains and reagents on the outer surface of spherical and cylindrical nanoparticles.
Kucherenko M.G., Chmereva T.M. PLACEMENT OF POLYMER CHAIN LINKS IN A FIELD OF SMOOTH HARD SURFACE AND IN NANOCAVE OF POROUS SORBENT ^{[№ 9 ' 2008]} The problem of density distribution of polymer chain links on the surface of adsorbents with big and small (including nanometre) radius of curving of cavities and caverns, including nanostructures with pores of different forms, is regarded in this article. The author shows expressions for effective potentials of surfaces field got on the base of pair atomic potentials of 612 LennardJohns. It is shown that description of spatial placing of chain subunits with linear memory is sensible to form of nanocave in contrast to approximation of independent links leaded to Boltzmann distribution. Effectiveness of change of integral potentials of nanostructural sorbents with model potentials constructed from potentials of hard wall and deltafunctional pit with deep factor matched with appropriate method is demonstrated in this work.
Kucherenko M.G., Stepanov V.N., Chmereva T.M. ASYMPTOTIC STAGE OF EXITONIC PROCESSES KINETICS IN POLYMERIC CIRCUITS WITH THE REGULAR AND THE BROKEN STRUCTURE ^{[№ 9 ' 2004]} In the work the review is made of the most important results of wellknown publications on reactions kinetics in the condensed systems concerning to exitonic processes in macromolecular circuits of a natural and synthetic origin. The mathematical models are considered which are taking into account correlation and fluctational effects in kinetics of onedimensional reactions. New models are offered for remote annihilation of "isolated" excitons: excitations on a circuit, enclosed within the limits of its connected pieces, and also the model which is taking into account complicated transport of excitons, as a result of shifting jerks of lateral parts of a circuit.
Kucherenko M.G., Gunkov V.V., Chmereva T.M. OXYGENDEPENDENT PHOTOREACTION KINETICS IN LANGMUIRBLODGETT MONOMOLECULAR FILM ^{[№ 3 ' 2002]} The crossannihilation kinetics of delayed fluorescence of organic molecules is investigated in surfactant monolayer (LangmuirBlodgett technology) interfaced with the air. New features of the mathematical model of molecular process are considered when the theory gains an details of the oxygen diffusion transport in LBfilm. The analysis of the luminescence pulse form is made on a bases of O2 sorptiondesorption and oxygen lateral diffusion model in the film. The delayed fluorescence intensity is used as basic observed value and it built on the base of pair distribution function, taking into account the desorbtion of O2 molecules into gas phase. The oxygen desorbtion is considered or as onestep quantum process, or as thermoactivation transition through an potential barrier like Kramers theory approach.
M.G. Kucherenko, T.M. Chmereva EXCITED OXYGEN MOLECULES DESORBTION INDUCED BY VIBRATION TRANSITION FROM SURFACE MONOLAYER ^{[№ 1 ' 2001]} The connection between oxygen molecules desorbtion from the surfactant monolayer to the gas phase and the reaction kinetics + immobilized surface centers R products is discov ered. The desorbtion probability calculation is derived for the diatomic molecule when the process induced by a vibration transition. The pair distribution function taken into account a loss of O2  molecules is built for particlesreagents in the surfactant film.
Kucherenko M.G., Chmereva T.M. DETERMINATION OF MAGNETIC MOMENTS OF A TOMS WITH REGARD TO SPINORBITAL INTERACTION OF ELECTRONS ^{[№ 1 ' 2000]} The problem of determination of electronic magnetic moment of the atom is considered in this work. Total magnetic moment is represented as a parameter, characterizing the atomic system. The most widespread case of intermediate type of relationships between orbital and spin moments is analysed. Calculation of coefficients for linear combination of base stations with full moment isprovided. The perturbation theory for the spinorbital interaction is used. The correction for atomic g  factor of sixth group of elements is determined. The most significant effect for atoms with the big serial number is observed. For the atom of fifth group phosphorus Lande's factor is zero in excited station, but we determine nonvanishing gyromagnetic attitude with regard to spinorbital interaction.
