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Vol 10, No 3 (2016)

Elementary Physicochemical Processes

Influence of external electric field on the transfer of protons in hydrogen-bonded systems

Abronin I.A., Koval’chuk I.A., Sakun V.P.

Abstract

The LCAO MO self-consistent field method in combination with the 6-31** basis set is used to calculate sections of the potential energy surface for a proton in the NH3…HCl system in the presence of an external electrostatic field. The field strength is varied in the range of 0.000 to 0.017 a. u. In the absence of the field, the potential of the proton in the isolated complex has one well, the N–Cl distance is equal to 2.92 Å, and the NH3…H–Cl bond is a hydrogen bond. With increasing distance between the N and Cl atoms, a second well appears in the potential, with the well near the Cl atom remaining deeper. In the presence of an external electric field, with increasing its strength, the depth of the well near the N atom increases, while the height of the barrier for proton transfer from the chlorine to the nitrogen atom decreases. At a certain field strength, the well near the nitrogen atom becomes deeper than that near the chlorine atom, so the proton moves to the nitrogen, making the complex ionic. Thus, the external electric field can influence the type of chemical bond in NH3…HCl system.

Russian Journal of Physical Chemistry B. 2016;10(3):357-359
pages 357-359 views

Theoretical study of the interaction in HCCH...X (X = F, Cl, Br, I) hydrogen-bonded anion–molecule complexes and calculation of the complex formation energy within an electrostatic model

Savel’ev V.A.

Abstract

An electrostatic model is proposed to calculate the formation energy ΔЕ of linear HCCH…Х (X = F, Cl, Br, I) hydrogen-bonded anionic complexes between a halide ion and an acetylene molecule. The potential energy surface (PES) in this model includes four kinds of interaction in the HCCH…Х system, namely, electrostatic (Coulombic), polarization, dispersive, and exchange repulsion interactions. An analytical expression for the formation energy ΔЕ of the complexes is obtained, and the PES parameters necessary for calculating ΔЕ are determined. The calculated ΔЕ values are in good agreement with ab initio data from the literature. The relative contributions from the different types of interactions to ΔЕ are estimated and analyzed. The electrostatic (Coulombic) interaction makes the main contribution to the formation energy of HCCH…Х clusters.

Russian Journal of Physical Chemistry B. 2016;10(3):360-370
pages 360-370 views

Basic Physical and Chemical Processes

An exact solution for polaron in the nonlinear lattice in the Su–Schrieffer–Heeger approximation

Astakhova T.Y., Kashin V.A., Vinogradov G.A.

Abstract

The exact solution for a polaron in a lattice with cubic nonlinearity is obtained. The electron–phonon interaction is taken into account in the Su–Schrieffer–Heeger approximation. The system of nonlinear differential equations in partial derivatives, obtained in the continuum approximation, is exactly integrable at a certain ratio between the parameters of nonlinearity, α, and the electron–phonon interaction, χ. An approximate solution is obtained for arbitrary values of α and χ. A good agreement between the analytical results with the numerical simulation is observed at not too large values of parameters α and χ, where the continuum approximation is valid. Stable solutions also exist at higher values of these parameters.

Russian Journal of Physical Chemistry B. 2016;10(3):371-378
pages 371-378 views

Structure of Chemical Compounds. Spectroscopy

Effect of the structure of solid compounds on the shape of their NMR spectra and manifestations of dynamic chaos in paramagnetic spin systems

Zavel’skii V.O., Lundin A.A.

Abstract

The shape of NMR absorption line for typical ionic crystals, molecular crystals, and glasses is studied. The proposed theory and available experimental results suggest that the shape of NMR spectra of conventional dielectric crystals (and even molecular) is the convolution of a frequency-truncated nearly-rectangle-shaped function (characteristic oscillations in free precession signals) and a Gaussian-like function. A Gaussian-like shape of the spectra of glasses with a rigid structure (no oscillations in the free precession signal) is probably associated with a random scatter of interatomic distances. The results are interpreted within the framework of the proposed theory. It is demonstrated that, at least for solids the lattice of which contains no isolated groups of nuclei and are not quasi-one-dimensional, the structure only weakly affects the shape of the spectrum, which in turn is associated with the onset of dynamic chaos in the spin system.

Russian Journal of Physical Chemistry B. 2016;10(3):379-387
pages 379-387 views

The spectral properties and the NIR photoluminescence of univalent bismuth Bi+ in RbAlCl4, CsAlCl4, RbMgCl3, CsMgCl3, KCdCl3 and RbCdCl3 crystal phases

Vtyurina D.N., Romanov A.N., Veber A.A., Fattakhova Z.T., Antonov A.A., Tsvetkov V.B., Korchak V.N.

Abstract

Polycrystalline samples of Bi-doped triple chlorides RbAlCl4, RbMgCl3, RbCdCl3, CsAlCl4, CsMgCl3, KCdCl3 were prepared by crystallization from the Lewis acidic melts. The broadband long-lived NIR photoluminescence with maxima near 1 μm was observed from all the materials. The most probable source of this emission is bismuth monocation Bi+, which substitutes for the large alkali cations. The relationship between the Bi+ optical properties and the symmetry of crystal field is discussed.

Russian Journal of Physical Chemistry B. 2016;10(3):388-393
pages 388-393 views

Kinetics and Mechanism of Chemical Reactions. Catalysis

Parabolic model of the concerted molecular decomposition of chloroalkanes

Pokidova T.S., Denisov E.T.

Abstract

The intersecting parabolas model (IPM) is used to analyze the measured kinetic parameters for the concerted molecular decomposition of chloroalkanes RCl to olefin and HCl. According to this model, the configuration of the transition state is formed by three atoms: C…H…Cl. The activation energy E and the rate constant k for 12 previously unstudied reactions of concerted molecular decomposition of RCl are calculated based on the enthalpy of reaction by using the IPM algorithms. The factors that influence the activation energy E for RCl decomposition are established: the enthalpy of reaction, energy of stabilization of radical R, presence of a π bond adjacent to the reaction center, and dipole–dipole interaction for the decomposition of polychloroalkanes. The values of E and k for reverse reactions of addition of HCl to olefins are evaluated. The energy spectrum of partial activation energies for the concerted molecular decomposition of RCl is constructed.

Russian Journal of Physical Chemistry B. 2016;10(3):394-406
pages 394-406 views

H3O2- ions with a strong quasi-symmetrical H-bond and their hydration in aqueous solutions of NaOH and KOH

Maiorov V.D., Voloshenko G.I., Kislina I.S., Tarakanova E.G., Yukhnevich G.V.

Abstract

Ion-molecular interactions in aqueous solutions of NaOH (0–47.8%) and KOH (0–51.95%) are studied by multiple frustrated total internal reflection IR spectroscopy. Interpretation of the spectra and analysis of the spectral data are performed based on the results of DFT calculations (B3LYP/6-31++G(d, p)) of the characteristics of the free and double hydrated H3O2- ion. It is established that the changes in the IR spectra of NaOH and KOH aqueous solutions caused by increasing alkali concentration are due to the formation of H3O2- ions with a strong quasi-symmetrical hydrogen bond and their subsequent hydration by one or two water molecules. The influence of the cation nature on the degree of hydration of H3O2- ions is demonstrated. The equilibrium concentrations of monohydrate (H3O2- ∙ H2O) and dihydrate (H3O2- ∙ 2H2O) are calculated and their IR continuous absorption spectra are isolated.

Russian Journal of Physical Chemistry B. 2016;10(3):407-416
pages 407-416 views

Quantum-chemical analysis of the disproportionation of nitroxyl and peroxyl radicals in oxidizing organic compounds

Pliss E.M., Soloviev M.E., Tikhonov I.V., Loshadkin D.V., Buchachenko A.L.

Abstract

The enthalpy change of disproportionation reaction of nitroxyl and peroxyl radicals was calculated by the DFT B3LYP/cc-pVDZ method. The regeneration of the corresponding hydroxylamine during the oxidation of unsaturated compounds inhibited by nitroxyl radicals is shown to be associated with the disproportionation of the nitroxyl and peroxyl radicals.

Russian Journal of Physical Chemistry B. 2016;10(3):417-420
pages 417-420 views

The kinetics of the gas-phase reaction between methanol and boron trichloride

Kapralova G.A., Chaikin A.M.

Abstract

Using a spectroscopic complex designed for studying the kinetics of chemical reactions, the rate constant for the gas-phase reaction between a Lewis base and a Lewis acid—CH3OH + BCl3 → CH3OBCl2 + HCl—at at room temperature and pressures of 1.5–27.9 Torr has been derived for the first time. The complex comprises a reactor embedded in the optical system of a commercial AF-3 Fourier transform IR spectrometer capable of recording the spectra of reactants during the process. The reaction mechanism has been analyzed.

Russian Journal of Physical Chemistry B. 2016;10(3):421-426
pages 421-426 views

The hydrolysis mechanism and kinetic analysis for COS hydrolysis: A DFT study

Guo H., Tang L., Li K., Ning P., Sun X., Liu G., Bao S., Zhu T., Jin X., Duan Z., Li Q.

Abstract

Density Functional Theory (DFT) was utilized to study the hydrolysis mechanism and kinetic analysis of carbonyl sulfide (COS). The structures of reactants (R), transition states (TS), intermediates (IM) and products (P) were analyzed and a conclusion reached that hydrolysis mechanism of COS occurs in two paths with One path as a C=S path and the other as a C=O path and all featuring potential for forming H2S and CO2. Function change analysis of COS hydrolysis indicated the rate-determining step of COS hydrolysis was the first elementary reaction as OH and H in H2O attacked C=O and S=O in COS, respectively, with the two paths parallel and competitive and the C=S path more reactionary than the C=O path. Influence on each elementary reaction was also not consistent with reaction temperature increase. The study also included further investigation of the COS catalytic hydrolysis.

Russian Journal of Physical Chemistry B. 2016;10(3):427-434
pages 427-434 views

Combustion, Explosion, and Shock Waves

Promotion of the self-ignition of fuel–air mixtures with mechanoactivated Al (Mg)–MoO3 particles

Troshin K.Y., Streletskii A.N., Kolbanev I.V., Borisov A.A., Frolov S.M., Frolov F.S.

Abstract

The ignition delay times of heptane–air and diesel oil–air mixtures with and without additives of mechanoactivated Mg–MoO3, Al–MoO3, and Mg–fluoroplastic nanopowders are measured using a rapid-mixture-injection setup. At temperatures below a certain threshold value, the metal–MoO3 additives produce practically no effect on the ignition delay time, whereas at higher temperatures, these additives sharply reduce the ignition delay time, down to the resolution time of the experimental method. The promoting efficiency of the small heterogeneous additives tested is many times superior to that of the known homogeneous promoters. Magnesium–fluoroplastic additives are demonstrated to produce no promoting effect on the ignition of the fuel–air mixtures studied. The mechanism of the action of the heterogeneous additives on the gasphase self-ignition of fuels is discussed.

Russian Journal of Physical Chemistry B. 2016;10(3):435-443
pages 435-443 views

Finely striped structure at the edges of localized deformation bands

Belikova A.F., Buravova S.N., Petrov E.V., Sachkova N.V., Shchukin A.S.

Abstract

Under conditions of high-rate loading, plastic strain localization is a result of tension in the zone of interference of unloading waves rather than of thermal softening. At stresses close to the dynamic strength of the material, the microstructure of localized strain bands consists of strongly deformed material, with a large number of incipient microdiscontinuities. At stresses below the Hugoniot elastic limit, the microstructure looks as a set of barely visible stripes. The finely striped structure at the edges of the bands of a spall damage arises as a result of the stretching of initially rounded damage centers attached to the matrix material during dynamic deformation.

Russian Journal of Physical Chemistry B. 2016;10(3):444-450
pages 444-450 views

On the mechanism of the detonation of organic high explosives

Anisichkin V.F.

Abstract

This article presents a further analysis of isotopic labeling data on the mechanism of the detonation of TNT-, RDX-, and HMX-containing mixtures and on the release of free carbon from these mixtures. The distribution of carbon isotopes among the condensed explosion products and, for the first time, among the gaseous ones is considered in relation to the particle size of the mixed explosives. A sequence of main chemical reactions in the detonation wave is suggested to account for the experimental data discussed.

Russian Journal of Physical Chemistry B. 2016;10(3):451-455
pages 451-455 views

Reactions of initiation of the autoignition of H2–O2 mixtures in shock waves

Vlasov P.A., Smirnov V.N., Tereza A.M.

Abstract

The initiation of the autoignition of hydrogen–oxygen–argon mixtures behind reflected shock waves is studied by absorption and emission spectrophotometry in the temperature range of 960 < T < 1670 K at pressures of ~0.1 MPa. Introduction of Mo(CO)6 additive in an amount of ~80 ppm made it possible to study the effect of O atoms on the shortening of the ignition delay time of H2–O2–Ar mixtures. A kinetic modeling of our own and published experimental data at temperatures of 930 < T < 2500 K and pressures of 0.05 < P < 8.7 MPa enabled to establish how the initiation reactions influence the process of self-ignition and to evaluate the rate constant for one of the initiation reactions: k(H2 + O2 → 2OH) = (3 ± 1) × 1011exp(–Ea/RT), cm3 mol–1 s–1, where Ea = (40 ± 2) kcal/mol.

Russian Journal of Physical Chemistry B. 2016;10(3):456-468
pages 456-468 views

Three-dimensional numerical simulation of the characteristics of a ramjet power plant with a continuous-detonation combustor in supersonic flight

Dubrovskii A.V., Ivanov V.S., Zangiev A.E., Frolov S.M.

Abstract

Multi-variant three-dimensional numerical simulations demonstrate the feasibility of the continuous- detonation process in an annular combustor of a ramjet power plant operating on hydrogen as fuel and air as oxidant in conditions of flight at a Mach number of M0 = 5.0 and an altitude of 20 km. Conceptual schemes of an axisymmetric power plant, 400 mm in external diameter and 1.3 to 1.5 m in length, with a supersonic intake, divergent annular combustor, and outlet nozzle with a frusto-conical central body are proposed. Calculations of the characteristics of the internal and external flows, with consideration given to the finite rate of turbulent-molecular mixing of the fuel mixture components with each other and with the combustion products, as well as the finite rate of chemical reactions and the viscous interaction of the flow with the bounding surfaces, have shown that, in these flight conditions, the engine of such a power plant has the following performance characteristics: the thrust, 10.7 kN; specific thrust, 0.89 (kN s)/kg; specific impulse, 1210 s; and specific fuel⋅consumption 0.303 kg/(N h). In this case, the combustor can operate with one detonation wave traveling in the annular channel at an average velocity of 1695 m/s, which corresponds to a detonation wave rotation frequency of 1350 Hz. It is shown that, an operating combustor has regions with subsonic flow of detonation products, but the flow is supersonic throughout its outlet section.

Russian Journal of Physical Chemistry B. 2016;10(3):469-482
pages 469-482 views

Energy potential of solid composite propellants based on 1,1-diamino-2,2-dinitroethylene

Lempert D.B., Dorofeenko E.M., Shu Y.

Abstract

To obtain new formulations for solid composite propellants for creating composites with low sensitivity to mechanical stress and improved thermal stability, the energy potential of composites based on 1,1-diamino-2,2-dinitroethylene (FOX-7) and additionally containing a hydrocarbon or active binder, aluminum, and inorganic oxidant was studied. A formulation with 60% FOX-7 and 19 vol % active binder can be created which is characterized by a specific impulse Isp ~ 251 s, density ~1.91 g/cm3, and Tc below 3600 K. The composites containing FOX-7 have smaller specific impulse values than the same formulations with HMX: by 10 s at 60% FOX-7 and by 4 s at 30% HMX.

Russian Journal of Physical Chemistry B. 2016;10(3):483-489
pages 483-489 views

Electric and Magnetic Properties of Materials

Emergence of an electric field in finely disperse dielectrics during their interaction with hydrogen

Kharlamov V.F., Sergeev V.O., Sokolov A.A.

Abstract

The interaction of hydrogen molecules with the surface of the particles of a finely disperse dielectric CsNO3, KMnO4, or Pb(NO3)2 was found to be accompanied by the emergence of an electric field in the powder layer. This effect is independent of the material of the identical metal electrodes (Pt, Au, Hf, Mo, Pb, Al) and is determined by the decay into hydrogen Н+ ions and the electrons of the chemisorbed Н2 molecules.

Russian Journal of Physical Chemistry B. 2016;10(3):490-495
pages 490-495 views

Chemical Physics of Biological Processes

Effect of cavitational disintegration of surplus activated sludge on methane generation in the process of anaerobic conversion

Gladchenko M.A., Razumovskii S.D., Kovalev D.A., Murygina V.P., Raevskaya E.G., Varfolomeev S.D.

Abstract

The effect of mechanical pretreatment of surplus activated sludge from the wastewater treatment facilities of a plant producing chips (LLC “Frito Lay Manufacturing,” Kashira, Moscow oblast) in a cavitation disintegrator on methane generation in the process of anaerobic conversion is investigated. In laboratory conditions, cavitation disintegration pretreatment of the activated sludge results in a two- to sixfold increase in the transfer of various types of organic materials from the cell suspension into the aqueous phase. It is demonstrated that cavitation pretreatment of the activated sludge makes it possible to produce 31% extra methane as compared to the amount produced from the original sludge.

Russian Journal of Physical Chemistry B. 2016;10(3):496-503
pages 496-503 views

Regulation of the physicochemical and biotechnological process parameters of the liquid-phase aerobic degradation of nitrocellulose-containing wastewater sludge

Gladchenko M.A., Rogozin A.D., Cherenkov P.G., Murygina V.P., Gaidamaka S.N., Lifshits A.B.

Abstract

The physicochemical process parameters of the liquid-phase aerobic degradation of nitrocellulose- containing sludge from the Aleksin Chemical Industrial Complex was studied by laboratory simulation with the use of activated indigenous microflora. The intensification of the aeration process and the saturation of sediments with atmospheric oxygen in a concentration of no lower than 7.7 (mg O2)/L, the maintenance of the pH values of a bioreactor medium in an alkaline range (7.8–8.0), and the moistening of bottom sediments to 90% led to a nitrocellulose removal efficiency of no lower than 55.1% after 31 days. The kinetic characteristics of the fermentation process were determined: the rate constant of nitrocellulose degradation was 0.032 day–1 and the half-life time was 22 days. Upon the annealing of sediment after fermentations, it was found that the residual combustible component was most likely pure cellulose, which was formed as a result of the degradation (elimination of nitro groups) of parent nitrocellulose. An activated sludge concentrate (10% on a total sediment weight basis) with a 99% moisture content and a 18.7% ash content from the Aleksin Aeration Station was added to the test sediment mass in order to enrich indigenous microflora and to increase the efficiency of nitrocellulose biodegradation. The stimulating influence of activated sludge microorganisms on the biodegradation of nitrocellulose was not detected because of their low cellulolytic activity.

Russian Journal of Physical Chemistry B. 2016;10(3):504-510
pages 504-510 views

Study of interactions of 2-benzamido-4-methylpentanoic acid-2-cyclohexyl carboxamide with BSA: Gel exclusion chromatography and molecular modeling techniques

Thakare S.B., Tekade P.V., Pande S.

Abstract

Plasma protein in blood play an important role in transportation of drug. So it is important to know the binding of drug with plasma protein. In this study we successfully observed the interaction of 2-benzamido-4-methylpentanoic acid-2-cyclohexyl carboxamide ligand (2-bmca) with Bovine serum albumin (BSA) using gel exclusion chromatographic technique at different pH. Absorbance value for collected fraction was measured on UV-vis Spectrophotometer. Differences in the absorbance value of collected fraction give the specific binding of interacting species with BSA. Interacting study shows that ligand (L) bounds to the BSA more significantly at pH 3 than at pH 4 and 5, which shows binding is more at acidic pH. Scatchard analysis gives the association constants (Kf) and the saturation value (n) for ligand(L) with BSA. Molecular modeling study gives the efficient energy value–231.16 which confirms the binding of ligand (L) with BSA.

Russian Journal of Physical Chemistry B. 2016;10(3):511-516
pages 511-516 views

Chemical Physics of Ecological Processes

Biodegradation of H acid by Bacillus subtilis and RP-HPLC method development for percent degradation estimation

Khan R.R., Adnan A., Pervaiz M., Raza M.A., Sagir M., Naz M.Y.

Abstract

The industrial synthesis of pigments and dyes generates hazardous chemicals. These chemicals are released into water, soil and environment and regarded as a major source of environmental pollution. H acid is also an important dye intermediate. In this study, the focus was on the bacterial degradation of H acid (1-amino-8-naphthol-3,6-disulfonic acid) of different concentrations and its degradation estimation method. The biodegradation was identified by the help of IR, UV-Visible spectrophotometer and high performance liquid chromatography (HPLC). A method was developed for the estimation of percent biodegradation of H acid with the help of HPLC. The developed method was applicable on standard as well as biodegraded products and on other compounds with the sulfonic acid group. It was found that H acid of concentration 300 ppm and below can be completely degraded with Bacillus subtilis. However, over 300 ppm, the bacterial degradation did not work efficiently.

Russian Journal of Physical Chemistry B. 2016;10(3):517-523
pages 517-523 views

Chemical Physics of Polymer Materials

Mechanical property of hydrous amorphous cellulose studied by molecular dynamics

Zhu M.Z., Chen Y.F., Zhu W.B., Du X.M., Zhou J.B., Gu C., Liao R.J.

Abstract

The mechanical property of cellulose is universally considered as an important parameter, which reflects the service life of cellulosic insulation paper in the transformer. In this work, the mechanical property of hydrous amorphous cellulose has been studied using molecular dynamics. Analysis of the mechanical parameters of amorphous cellulose cells reveals that amorphous cellulose remains isotropic either in the hydrous or in the anhydrous state, but shows a weakening trend in mechanical property with the increase of water content. Both intramolecular and intermolecular hydrogen bonds in cellulose molecules decrease with increasing water content, directly leading to the decline of cellulose cohesive energy density, solubility parameters, and mechanical parameters. High water content in amorphous cellulose gives bigger interchain distance of cellulose molecules, indicating that the intermolecular interaction of cellulose molecules is weakened greatly by water.

Russian Journal of Physical Chemistry B. 2016;10(3):524-530
pages 524-530 views

Chemical Physics of Nanomaterials

Modeling of dimers of chiral trifluoroacetylated aminoalcohols

Zlenko D.V., Mikhaleva M.G., Stovbun S.V.

Abstract

The formation of nanodroplets in solutions of gelating trifluoroacetylated amino alcohols (TFAAA), constituting one of the fractions of the dispersed phase, is simulated by the molecular dynamics method. It is shown that the main contribution to the energy of formation of nanodroplets comes from dispersion forces (~14 kJ/mol), which constitutes 3/4 of the total energy of interaction of a pair of molecules. The dipole–dipole component of the interaction energy for the molecules with anticollinear dipole moments is ~kT. It is shown that there are differences in the topology of pairs of bound homochiral TFAAA molecules, associated with their nonhomeomorphicity. In the first case, the chiral tetrahedrons of the molecules are nested into each other. During condensation, due to the formation of stacks, such pairs are capable of anisotropic growth. In the second case, the tetrahedrons join via their bases, creating isometric nuclei for isotropic condensation.

Russian Journal of Physical Chemistry B. 2016;10(3):531-537
pages 531-537 views

Effect of the electric potential of organoboron nanoparticles on their catalytic activity in the decomposition of ammonia

Grishin M.V., Gatin A.K., Slutskii V.G., Kharitonov V.A., Tsyganov S.A., Shub B.R.

Abstract

For the first time, it has been shown that the rate of the catalytic decomposition of ammonia over (C2B10H4)n organoboron nanoparticles can be controlled via generating an electric potential of different polarity and magnitude on the particles using an external voltage source. At a temperature of 700 K, a pressure of 10–6 Torr, and a positive potential of the particles of +6 V, the decomposition rate increases by 26%, while at a negative potential of–6 V, it decreases by 37% compared to the decomposition rate of ammonia at a zero potential of the particles.

Russian Journal of Physical Chemistry B. 2016;10(3):538-542
pages 538-542 views

Structural properties of metal oxide nanocomposites: Effect of preparation method

Ikim M.I., Yu Spiridonova E., Belysheva T.V., Gromov V.F., Gerasimov G.N., Trakhtenberg L.I.

Abstract

In2O3 + CeO2 and In2O3 + ZnO nanocomposites are prepared by the mixing of commercial nanopowders of respective oxides or the impregnation of indium oxide nanoparticles with cerium or zinc salts and the subsequent transformation of the salts into respective oxides. According to X-ray diffraction analysis, regardless of the preparation method, only two phases—indium oxide and cerium or zinc oxide—are present in the samples. The sizes and structure of the nanoparticles in the nanocomposites are determined by transmission electron microscopy and X-ray diffraction analysis. It is found that the use of the impregnation method leads to the formation of small clusters of cerium or zinc oxides on the surface of the indium oxide nanoparticles. The size of the cerium and zinc oxide nanoparticles in the impregnated samples is 3–15 and 5–25 nm, respectively. The size of nanoparticles of these oxides in the impregnated samples slightly decreases with an increase in their content in the composite.

Russian Journal of Physical Chemistry B. 2016;10(3):543-546
pages 543-546 views

The Dynamics of Transport Processes

Diffusion of atoms in a dense adsorbed layer with a hexagonal structure

Prostnev A.S., Shub B.R.

Abstract

The migration of an impurity atom over a honeycomb-type hexagonal lattice on a solid surface initiated by the diffusion of vacancies is theoretically studied. The case of small surface coverages of vacancies and impurity atoms is examined. The time dependence of the mean-square displacement at long time is demonstrated to be not very different from linear, whereas the spatial density distribution is close to a Gaussian profile, a result that makes it possible to introduce a diffusion coefficient. For the latter, an analytical expression is obtained, which differs from the product of the diffusion coefficient of vacancies and their relative concentration Vv only by a numerical factor. The dependence of the diffusion coefficient of the impurity atom on the ratio p of the frequency of its jumps to the frequency of jumps of vacancies is analyzed. In the kinetic mode, when the frequency of jumps of the impurity atom is small, the diffusion coefficient of the impurity is a linear function of p, while in the opposite case, a saturation takes place, making this coefficient independent of the frequency of jumps of the impurity atom.

Russian Journal of Physical Chemistry B. 2016;10(3):547-551
pages 547-551 views

Erratum

pages 552-552 views