


Vol 12, No 4 (2018)
- Year: 2018
- Articles: 29
- URL: https://journal-vniispk.ru/1990-7931/issue/view/12509
XXIX Russian Symposium “Modern Chemical Physics” (Tuapse, Russia, September 2017)
Variable Activity of Reagents with C=C and N=N Bonds in Cycloaddition Reactions
Abstract
Data on rates and enthalpies of the reactions of quadricyclane (4) and diadamantylidene (5) with N-phenylmaleimide (1), 4-phenyl-1,2,4-triazoline-3,5-dione (2), and tetracyanoethylene (3) are obtained for the first time. Reagent 2 with the N=N reaction center is found to be six orders of magnitude more active than its structural analog 1. A strong π-acceptor 3 is 370 times more active than reagent 2 in the reaction with a strong π-donor substrate 4 but is less active than reagent 2 in many [4π + 2π], [2π + 2π + 2π], and [2π + 2π] cycloaddition reactions, and, especially, in ene reactions. The possible causes of the strong difference and variable activity of compounds 1–3 with C=C and N=N bonds are discussed.



Structural Investigation of Biomacromolecules Using Ultrahigh-Resolution Mass Spectrometry and Isotope Exchange
Abstract
We present a new analysis methodology for arbitrary complex molecular systems using ultrahigh-resolution mass spectrometry and isotope exchange. The kinetics of the hydrogen–deuterium exchange reaction is described for large biomacromolecules. The possible applications of the proposed methodology for the analysis of linear oligosaccharides, proteins, and molecular ensemble of humic acids are discussed.



Composite Materials with Ultrahigh-Molecular-Weight Polyethylene and Boron Synthesized via Polymerization in situ
Abstract
Composite materials made of ultrahigh-molecular-weight polyethylene (UHMWPE) and boron have been synthesized using polymerization filling (polymerization in situ), varying the boron content in a wide range from, 10 to 75 vol %. The behavior of synthesized composites during deformation under compression depending on the degree of filling has been studied, and it has been determined that composites with a boron content of about 45 vol % have the maximum value for Young’s modulus, and increases in stress values at offset yield strength under compression is observed up to the filler content of 52 vol %. Based on the analysis of the stress–strain curves under compression, it can be asserted that, even at high degrees of filling, UHMWPE–boron composites retain plastic deformation.



Thermostimulated Luminescence in Colloidal Ag2S Quantum Dots
Abstract
Temperature properties of recombination IR luminescence (1240 nm) for ensembles of colloidal Ag2S quantum dots with an average size of 3.6 ± 0.5 nm have been investigated in gelatin. Thermostimulated luminescence, resulting from varying temperatures and at continuous photoexcitation of colloidal Ag2S quantum dots, has been detected. A peak of thermolumination has been found at the temperature region of 100–240 K, which is maintained by two components, the presence of which is by the existence of two types of hole trap states with depths of 0.07 and 0.09 eV.



The Influence of the V2O5 · GeO2 Glass Phase on the Properties of AgI Nanolayers
Abstract
Using X-ray phase analysis and impedance monitoring, it was shown that for a nanolayered structure, softened glass (V2O5 · GeO2) can take an imprint from AgI lattice and retain it while being cooled to temperatures below Tg.



Elementary Physicochemical Processes
Ab Initio Calculation of the Lowest Singlet and Triplet Excited States of the N2 Molecule
Abstract
Ab initio calculations of the adiabatic potential curves and matrix elements of radial nonadiabatic coupling of the N2 molecule for the states related to dissociation limits I–V were performed. The most important spectral characteristics of the adiabatic states agreed well with the available experimental and theoretical data. The diabatic states were constructed. The diabatic quantum defects and radial matrix elements of the configuration interaction of the dissociative and Rydberg configurations whose states converge to the ground state \(X^{2}\Sigma{_g^+}\) and the first electronically excited state A2Πu of the \(\rm{N_2^+}\) ion were calculated. The possibility of using the results for calculating the cross sections and rate constants of dissociative recombination and associative ionization within the framework of the multichannel quantum defect theory was discussed.



Cylindrical Space–Time Model and Mirror Symmetry Violations
Abstract
The symmetrical character of empty space–time is proposed as a putative reason for mirror symmetry violations in the bioorganic world and in the world of elementary particles, and a new geometrical model for the empty space–time is put forward. In contrast to flat four-dimensional Minkowski space, this model is described by a cylindrical four-dimensional space metrics. The geodesic lines of this space are helical. The helical structure of the model proposed shows that distortion of mirror symmetry may be a consequence of geometrical structure of the empty space rather than a characteristic of any specific interaction.



Structure of Chemical Compounds. Spectroscopy
Mercury Isotopes in Earth and Environmental Chemistry
Abstract
In Earth and environmental chemistry magnetic isotopes are the universal means to identify reaction mechanisms. Mass-independent fractionation of isotopes as a signature of mechanism occurs by two ways: first, via magnetic isotope effect (MIE), which is controlled by magnetic, or hyperfine, coupling between unpaired electrons and magnetic nuclei in paramagnetic species (in radicals, particularly), and, second, via nuclear volume effect (NVE), which is induced by the difference in volumes of isotopic nuclei. MIE is the dependence of the reaction rates on the nuclear magnetic moment of reactants and fractionates magnetic and nonmagnetic isotopes; NVE fractionates isotopes with different nuclear volumes. Both effects, MIE and NVE, are supposed to coexist in condensed phases. Decisive test for their differentiation is illustrated by example of radical pairs with mercury nuclei: if isotope fractionation is controlled by MIE, the ratio Δ201Hg/Δ199Hg is expected to be in the limits 1.05–1.25 for isotopic enrichment and 0.80–0.92 for impoverishment. If isotope fractionation is controlled by NVE, this ratio is estimated to be in the range 0.50–0.62. In contrast to MIE-induced two-directional fractionation, which is controlled by direction of coherent spin conversion of radical pair (triplet–singlet or vice versa), the NVE induces one-directional, universal isotope fractionation, almost independent on the reaction mechanism.



Theoretical Study of the Electronic and Optical Properties to Design Dye-Sensitivity for Using in Solar Cell Device
Abstract
In this work, the structural and optoelectronic properties of phenanthrene-1,3,4-thaidiazoles oligomers were calculated using density functional theory (DFT) at B3LYP/6-31G(d) basis set level, to evaluate their possible application as organic semiconductor materials in photovoltaic and solar cell devices. For this reason, the energy gaps, frontier orbital (HOMO, and LUMO) distributions, total energies, Fermi level energies, work functions and maximum wavelength absorption, vertical absorption energies, and oscillator strengths have been investigated and discussed. The structures of phenanthrene-1,3,4-thiadiazoles oligomers are expanded from 1 to 10 thiadiazole monomeric units, to examine the increase of thiadiazole monomeric units on the optoelectronic properties. We observed that increased the number of monomeric units lead to significantly enhance the optoelectronic properties, which caused to decrease the gap energy from 3.69 eV in the structure with one thiadiazole ring just to 2.36 eV with 10 units. These changes give the shift of maximum absorption wavelengths from 376 to 578 nm. Consequently, these molecules have main absorption bands within the solar spectrum, to give the best performance for photovoltaic and organic solar cells devices.



Enhancement of Fluorescence of Nanosized ZnO: SiO2 Films in the Presence of Human Serum Albumin
Abstract
The optical properties of the films of new nanosized of ZnO: SiO2 materials with intense ultraviolet luminescence (UVL) with a maximum at 362 nm were studied. When human serum albumin (HSA) is applied on the surface of films, an effective fluorescent energy transfer occurs, which is manifested in an increase in the intensity of ultraviolet luminescence of ZnO: SiO2. The increase in integrated UVL intensity is inversely proportional to HSA concentration; it has 9.2–12.6 times (with a decrease in the HSA concentration from 10–8 to 10–12 M) the UVL intensity of purified ZnO: SiO2 film. The dependence of the UVL intensity on the HSA concentration is close to linear. Compared to the intensity at a concentration of 10–8 M, the gain is 8, 19, 31, and 36% for protein concentrations in the solution applied to the surface of ZnO: SiO2 of 10–9, 10–10, 10–11, and 10–12 M, respectively. These supramolecular systems can be used to create biosensors and to simulate the physicochemical processes of photosynthesis. In the former case, the linear dependence of fluorescence on concentration is a significant advantage.



Influence of External Factors on Physicochemical Transformations
Mathematical Simulation of Low-Frequency Mechanical Action on Bimolecular Reaction Kinetics in a Structured Liquid
Abstract
A mathematical model of the physicochemical processes that occur under low-frequency mechanical action on bimolecular reaction kinetics with consideration for the association of reagents is presented. As a result of the mathematical simulation, special features of the kinetics and stability of the reaction modes were established. It was shown that, in a structured liquid, a formally simple reaction occurs as a complex process with the appearance of bistability regimes, the formation of a temporal dissipative structure, and the complex structure of intermediate concentration oscillations. The possibility of controlling transitions from stable to unstable reaction conditions and vice versa under changes in the external action amplitude was demonstrated.



Nanostructured TiO2 Films with a Mixed Phase for Perovskite Solar Cells
Abstract
A series of thin films made with TiO2 nanoparticles with a varied anatase/rutile phase ratio is prepared on conducting glass substrates using a spin-coating method. The structure, morphology, and optical properties of TiO2 nanopowders and thin films fabricated are studied using powder X-ray diffraction, scanning electron microscopy, and optical spectroscopy. The TiO2 nanostructured films created are used as photoelectrodes for the fabrication of perovskite solar cells (PSCs). The photovoltaic characteristics of PSCs under AM1.5 light illumination (1000 W/m2) under ambient conditions are studied. It is shown that the best efficiency of solar-to-electrical energy conversion, namely, 9.3%, is obtained for the PSC with a photoelectrode based on a TiO2 film with an anatase/rutile mixed phase ratio of 86/14%.



Combustion, Explosion, and Shock Waves
The Numerical Simulation of Indirect Laser Radiation on Pentaerythritol Tetranitrate
Abstract
This paper analyzes detonation processes in an explosive laser device, in particular the indirect radiation of an explosive material. A hydrodynamic approach is applied to the numerical analysis, the results of which are in good agreement with experimental data.



Combustion Wave Stability in Transition through the Interface of Gasless Systems
Abstract
In this paper, using mathematical modeling, we study combustion wave stability in transition through the interface of gasless systems. The effect of a gas layer separating two chemically active gasless layers on the combustion wave stability was studied at all stages of the transition. Using the criteria obtained, we estimate the stability conditions of the transition combustion wave. The nonstationary dynamics of the combustion wave transition through the gas gap is studied with allowance for competing mechanisms of heat transfer, such as conductive and radiant transfer. We analyze the effect of radiation heat transfer in the gas gap on the characteristics and stability of the transient combustion process. The failure region of the igniter combustion wave is determined through the approach to the ignition system, while estimates of temperature and heat flux at the interface of the systems are given with respect to the time of the igniter combustion completion under conditions of dominant conductive and radiant heat transfer.



Physical Methods for Studying Chemical Reactions
Disintegration of the Negative Ions of Monochloroacetic Acid in the Analysis of Its Aqueous Solution with the Use of Electrospray Ionization
Abstract
The negative ion mass spectrum of an aqueous solution of completely neutralized monochloroacetic acid (MCAA) was measured by a mass-spectrometric method of electrolyte solution electrospray in a vacuum. It was found that the negative ions of the MCAA acid residue, which were formed on the dissociation of MCAA molecules in water, decomposed under the electrospray. The efficiency of disintegration depends on the isotope of chlorine in the MCAA molecule.



Chemical Physics of Biological Processes
Nuclear Magnetic Ions of Magnesium, Calcium, and Zinc as a Powerful and Universal Means for Killing Cancer Cells
Abstract
Magnetic isotope effect controls enzymatic DNA synthesis and strongly, by 2–3 times, suppresses catalytic activity of polymerases and increases even more strongly, by 20–50 times, the mortality of cancer cells. Catalyzing ions 25Mg2+, 43Ca2+, and 67Zn2+ carrying magnetic nuclei are shown to efficiently kill cancer cells. The advantage of these ions for practical medicine is that being injected in blood they are captured selectively and almost exclusively by cancer cells inducing their death. The healthy cells capture these ions much less efficiently (perhaps due to the lower penetrability of their membranes) and are not vulnerable to these ions in comparison with cancer cells. Of course, penetrability of cells is identical for magnetic and nonmagnetic ions, but only the former kill cancer cells.



Investigation of Antimicrobial Properties of QASs+ (Novel Synthesis)
Abstract
Quaternary ammonium salts (QASs) are bioactive materials known for their antimicrobial effects. However, it is difficult to provide desirable quaternary ammonium salts. Thus, firstly new quarternary ammonium salts which are not in the literature were synthesized and organoclays were prepared with different quarternary ammonium salts content. The organoclays included quaternary ammonium salts such as N,N-di (3-methyl butyl)-N-(1-phenylethyl)-N-methyl ammonium Iodide (QAS-1), N,N-dipentil-N-(1-phenylethyl)-N-methyl ammonium Iodide (QAS-2), and N,N-dihexcyl-N-(1-phenylethyl)-N-methyl ammonium Iodide (QAS-3) which were newly synthesized for modification of Na+-montmorillonite (Na+-Mt) and were characterized by nuclear magnetic resonance spectroscopy (NMR). Synthesized organoclays were characterized by using Fourier transform infrared (FTIR), scanning electron microscopy (SEM) and X-ray diffraction (XRD). Characterization results proved that the modification is performed with high performance and as seen in the XRD results, the interstratum distances increased considerably and the diffraction angles decreased. The antimicrobial activity of the organoclays against Staphylococcus aureus and Escherichia coli were studied in detail and were obtained much larger inhibition zones than similar studies. QAS-3-Mt organoclay showed the maximum of antimicrobial activity against S. aureus and E. coli. As is known, organoclay comes among the fillers that play the most effective role in the synthesis of composite materials. In this context, the product we have synthesized is unique and can be used for many purposes.



Features of the Rheological Behavior of Polymer-Colloidal Dispersions Based on a Sodium Salt of Carboxymethyl Cellulose and Silver Iodide Sols
Abstract
The rheological properties of aqueous solutions of a sodium salt of carboxymethyl cellulose are studied. The occurrence of a region of unstructured semidilute solutions in which the entanglement network is absent is found. The introduction of both opposite and like-charged micelles of the lyophobic sol into a semidilute polymer solution leads to its structuring due to the appearance of an additional network because of polymer adsorption on the surface of the sol. As a result of the network formation a decrease in the interval between the crossover and the formation concentration of the entanglement network and also an increase in the viscosity of the semidilute solution are observed.



Chemical Physics of Nanomaterials
Influence of Matrix Nature on the Structural Characteristics of In2O3–CeO2 and SnO2–CeO2 Composites Fabricated by the Impregnation Method
Abstract
The structural characteristics, valence states, and distribution of cerium ions between the components in In2O3–CeO2 and SnO2–CeO2 nanocomposites fabricated using the impregnation method were studied. X-ray photoelectron spectroscopy (XPS) and energy-dispersive X-ray spectroscopy (EDX) were used to show that, during impregnation, cerium ions are not included into In2O3 crystals and are disposed only on their surface in the form of nano-sized crystallites or amorphous clusters. On the other side, under the contact of CeO2 clusters with a surface of SnO2 matrix crystals, cerium ions penetrate into the surface layer of these crystals. In contrast to an In2O3–CeO2 system, where the addition of CeO2 does not affect the conduction activation energy, where cerium oxide is added to SnO2, the observed increase in the resistance of a SnO2–CeO2 composite is accompanied by a sufficient increase in activation energy. These data and the XPS spectra confirm the modification of the surface layers of conductive SnO2 crystals as, a result of the penetration of cerium ions into these layers.



Surface Reactions
Molecular Simulation of H2O, CO2, and CH4 Adsorption in Coal Micropores
Abstract
Based on the chemical model of coal, slit micropores with different pore sizes are established and structures are optimized in the software of materials studio. As the temperature rises, absolute adsorption capacities of H2O are slightly affected, while absolute adsorption capacities of CO2 and CH4 gradually decrease. As the fugacity rises, excess adsorption curves of CO2 experience increase-decrease-gentle three stages, while the curves of CH4 gradually decrease. With the increase of pore size, adsorption capacities of H2O increase, while adsorption capacities of CO2 and CH4 gradually decrease. H2O firstly adsorbs on the oxygen-containing functional group, so the walls of pore are the preferential area for H2O, while CO2 and CH4 choose to adsorb on–C–C–, therefore the walls are the primary area for CO2 and CH4. Strong potential in micropores and hydrogen bond among water molecules will promote the water adsorption, while the adsorptions of CO2 and CH4 are only induced by the Van der Waals interaction, but the difference between adsorption density and bulk density of CO2 and CH4 decides the change of excess adsorption capacity.



Chemical Physics of Atmospheric Phenomena
Effects of the Interaction of Microwave Radiation with the Atmosphere on the Passive Remote Sensing of the Earth’s Surface: Problems and Solutions (Review)
Abstract
The main problems in the remote passive location of positions on the Earth’s surface are reviewed in detail. The first is related to the source of incoherent microwave radiation represented by a layer of two-temperature nonequilibrium ionospheric plasma at an altitude of ca. 80–110 km, which is located below a low Earth-orbiting satellite and formed under the influence of solar activity. As a result, the satellite receives direct radiation from this layer as well as reflected radiation from the Earth’s surface. The next problem is the attenuation of the intensity of the incident radiation as a result of the scattering of radio waves by charged aerosol layers located below the luminous layer. Aerosol particles are affected by solar and cosmic radiation and electronic and ionic attacks, due to which they become charged. Aerosol particles directly take part in the formation of a complete balance of charges in the atmosphere and are an effective catalyst for many physicochemical processes in neutral gaseous media. The processes related to the formation of aerosol particles, the kinetics of formation of their charge, and the processes of their interaction with incoherent microwave radiation are considered. This gives rise to the need to develop a fundamentally new scheme of passive location. Three possible versions of the arrangement of measurements are analyzed. In the first version, a complete set of measurements is implemented when the receiving equipment is simultaneously installed on the Earth, an aircraft, and a low Earth-orbiting satellite; in the second version, the receiving equipment is simultaneously installed on an aircraft and a satellite; in the third version, only on one satellite. The separation of the contributions of direct and reflected incoherent radiation received by the satellite can be achieved only using a special mathematical approach to the information processing (wavelet analysis), which has been under actively development in recent years. We fully show its broad possibilities for solving geophysical problems and discuss the problems of the calibration of the measuring equipment, which are associated with taking into account the superposition of two types of radiation coming to a satellite and with variation of the main parameters (concentration, flux density, and temperature of electrons) of the nonequilibrium two-temperature plasma in time.



Influence of Thunderstorm Activity on the Parameters of Air Plasma in the Ionosphere
Abstract
The effects of thunderstorm activity on the plasma-chemical processes in the air at an altitude of 95–100 km are studied. Based on numerical simulation, the concentrations of the main charged particles and the temperatures of electrons under conditions of highly charged clouds are determined. Under the same conditions, the plasma composition of air at these altitudes is analyzed. It is shown that the electric fields of clouds that are charged unipolarly after streak lightning discharges increase the concentration of electrons at these altitudes, which should lead, in turn, to a marked increase in the positioning errors of global satellite systems.



Air Plasma Parameters of the Lower Ionosphere under Normal Conditions
Abstract
Plasma-chemical processes in the lower ionosphere at altitudes of 90–100 km are studied. The background concentrations of the main charged particles and the temperatures of electrons under normal conditions are determined, based on numerical simulation. The plasma composition of air at these altitudes is analyzed.



Ionospheric Effects of the Sudden Stratospheric Warming in 2009: Results of Simulation with the First Version of the EAGLE Model
Abstract
In this paper, we discuss perturbations in neutral temperature, total electron content (TEC), and critical frequency of the maximum of the F2 layer (foF2) during the sudden stratospheric warming in January 2009. The calculations were performed using the first version of the EAGLE (Entire Atmosphere Global Model), which is a combination of the models of the low–middle atmosphere (HAMMONIA) and the upper atmosphere (GSM TIP). The EAGLE reproduces observed stratospheric warming and related mesospheric cooling in the northern polar cap in January 2009. At thermospheric altitudes, the neutral temperature perturbations have a quasi-wave character with a wavelength of ∼40 km in the vertical direction. Our results indicate that the HAMMONIA model should be used in the EAGLE instead of the GSM TIP model for the neutral temperature calculations in the altitude region from 80 to 120 km. It is shown that the obtained model foF2 and TEC perturbations are mainly related to seasonal variations. The most-pronounced perturbations in the ionospheric electron density due to stratospheric warming are formed near the equator and are basically negative. Our analysis of the neutral temperature and electron density perturbations made it possible to conclude that the dependence of ionospheric parameters on seasonal changes in solar zenith angle is stronger than for the thermosphere parameters.



Global Variations in Critical Frequency of the F2 Layer in Various Models of Solar EUV Radiation
Abstract
The paper presents the results of modeling ionospheric parameters using the Global Self-Consistent Model of the Thermosphere, Ionosphere, and Protonosphere (GSM TIP) of the Earth. Numerical experiments have been performed for three variants of the solar EUV spectrum data: the Nusinov model, EUVAC, and generalized solar flux measurements (SOLID). The calculations have been carried out on March 22, 2009 (F10.7 ~ 68) and March 22, 2014 (F10.7 ~ 154). The maximum ionization rate and, correspondingly, the critical frequency of the F2 layer have been obtained using the Nusinov model for low and high solar activities. The lowest ionization rates and values of foF2 have been obtained using the EUVAC model. Simulations with the SOLID spectrum show the better agreement of foF2 with the empirical model IRI-2007 at the maximum solar activity. At the same time, at the minimum solar activity, all models of the spectrum provide an underestimation of the values of the critical frequency of the F2 layer.



Correction of IRI-Plas and NeQuick Empirical Ionospheric Models at High Latitudes Using Data from the Remote Receivers of Global Navigation Satellite System Signals
Abstract
Correction of ionospheric models using experimental data is a current problem in accounting for ionospheric effects on the operation of radio engineering systems. In this paper, two approaches for correcting International Reference Ionosphere (IRI)-Plas and NeQuick ionospheric empirical models at high latitudes are tested using data from the receivers of global navigation satellite systems (GNSSs) located at some distance (~200–400 km) from what is considered the ionospheric region. The essence of these approaches is to minimize the root-mean-square deviation between the absolute slant total electron content (TEC) obtained from GNSS data and the modeled TEC for the same probe beam geometry (azimuth and elevation angle). The model correction results are compared using two GNSS receivers, located in Lovozero and Vardø, respectively, based on the data from the vertical sounding station in Sodankylä. Data for 2014 (average solar activity) are used. It is shown that at high latitudes the proposed correction approaches reduce error in the sunlit ionosphere and increase it in the dark ionosphere.



Optimal F10.7-Related Solar Activity Index for an Empirical Model of the Ionospheric F2 Layer
Abstract
The maximum electron density of the F2 layer NmF2 relative to the solar activity level is studied. The optimal period for averaging the solar activity index F10.7 is found, which gives on average the lowest error and the highest correlation coefficient (in space and in time) for describing the linear dependence of NmF2 vs. F10.7. This result depends substantially on the duration of NmF2 data storage selected.



Effect of Precipitating Energetic Particles on the Ozone Layer and Climate
Abstract
The mechanisms of the influence of various energetic particles on the atmosphere and their consideration by modern models are discussed. The types of energetic particles considered are galactic cosmic rays, auroral electrons, solar protons, and electrons precipitating into the atmosphere from outer radiation belt. The effects of these particles on the ozone layer and climate are illustrated using observational data and model calculations. The influence of galactic cosmic rays is noticeable only in the troposphere at southern latitudes, whereas a strong but short-term destruction of ozone by episodic solar protons have no effect at climatic time scales. Thus, the main influence on the long-term ozone layer variability is exerted by energetic electrons. Changing ozone contents lead to changing heating rates, temperature, and structure of stratospheric circulation, which in turn affects wave processes and climate. Simulation of these processes requires the use of complex numerical models that include all necessary processes and their interaction in the atmosphere from the surface to the upper thermosphere.



Unresolved Problems in the Chemistry of the Middle Atmosphere
Abstract
In this paper, we consider the unresolved problems of chemistry of the middle atmosphere related to the atmospheric lifetime of the Ox family and its O3, O(3P), and O(1D) components, as well as problems associated with the odd oxygen loss in the Ox, HOx, NOx, ClOx, and BrOx catalytic cycles. We showed that modern interpretations of the odd oxygen concept do not allow obtaining reliable data on the atmospheric lifetime of an odd oxygen family and its components, which is of fundamental importance for the chemistry of the middle atmosphere. Existing methods for determining the rate of ozone depletion in the above cycles are also shown not to have taken into account the chain nature of atmospheric ozone destruction, which leads to significant errors in the results of calculations made using them. We provide the algorithm for a correct estimate of the atmospheric lifetime of the Ox family, as well as an algorithm for calculating the rate of ozone depletion in the Ox, HOx, NOx, ClOx, and BrOx cycles, which is also used to calculate the atmospheric lifetime of the Ox family.


