Improvement of accuracy of interferometric measurement of wedge angle of plates

A method is proposed for improving the accuracy of measuring the wedge angle of transparent plates using a lateral-shear holographic interferometer. Consecutive processing of a pair of interferograms with doubled number of interference fringes leads to reduction of the observational error by a factor of two compared to traditional interferometric methods. Data on the experimental validation of the method are presented.     

Role of interactions of triplets of atoms in the formation of elastic properties of cubic crystals

It is widely known that the interaction of triplets of particles (which are not reducible to the sum of pair interactions) play an important role in formation the nonlinear and anisotropic properties of crystals. The aim of this work is to establish a general form of the dependence of these properties on interactions of triplets of atoms that is dependent only on the structure of the crystals. To separate the interactions of triplets of atoms from those of quadruples, we assume that the energy of triplets of interacting atoms depends only on the characteristics of a triangle whose vertices are the centers of gravity of interacting atoms. In this model, the internal energy must therefore be invariant upon rearrangement of the numbers of interacting atoms and any rotation of the triangle in isotropic space, P(3) × O(3). To specify the form of energy dependence on characteristics of selected triangles, we constructed an integral rational basis of invariants in dependence on the components of the vectors connecting the vertices of each triangle. Using the example of a simple dependence of the energy on basic invariants, we show how to move from the assumed energy dependence on invariants to the dependence of energy on lattice sums.     

Calculation of energy characteristics of adsorption of metals

Within the framework of the electron density functional, a technique is developed for calculation of the adsorption energy and variation in the electron work function for metal substrates due to metal atom adsorption. The corrections to the local density approximation, which are associated with non-uniformity of the electron density in the subsurface region and discontinuous ion charge distribution over the crystal lattice sites, are included into consideration. It is shown that adsorption of alkali metal atoms results in lower electron work function, while that of transition metals (cobalt, iron, and chromium) might both decrease and increase the electron work function. Formation of a variety of adsorption structures from metal atoms depending on the temperature is discussed. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 14–19, July, 2007.     

X-ray interferometric method of determination of parameters of permolecular structure of polymers

A new method for determining the density of polymer materials based on determination of the path-length differences in moiré patterns is proposed. The method is characterized by simplicity and accuracy of results. The densities of polychloropren and polystirol have been determined with high accuracy. Knowledge of the dependence of the polymer density on the stretching degree enables one to reveal the dynamics of changes in the permolecular structure at deformation of polymers.     

Application of new methods of interpretation of meteor observations at the Institute of Astrophysics of Tajikistan

New methods of interpretation of meteor observations were developed and published in [1?C9]. The interpretation of ground-based observations of meteors and bolides available today in the scientific literature all over the world suffers from serious contradictions. Observers use the so-called photometric approach for determination of extra-atmospheric masses of meteoric bodies. This approach is based on the formula proposed in 1933 [10] and very simple ideas of how to describe the interaction between the atmospheric air and the surface of a meteoric body. These ideas are provisionally suitable to describe the flow around a body in a free molecular regime. Subsequently, the photometric approach was applied to all the meteor events including bolides. The main effort aimed to elaborate the approach included a choice of new formulas for the radiative efficiency.     

Stability of families of probability distributions under reduction of the number of degrees of freedom

We consider two classes of probability distributions for configurations of the ideal gas. They depend only on kinetic energy and they remain of the same form when degrees of freedom are integrated out. The relation with equilibrium distributions of Tsallis’ thermostatistics is discussed.     

Simulation of the superlinearity of dose characteristics of thermoluminescence of anion-defective aluminum oxide

The specific features revealed in the superlinearity of dose dependences of thermoluminescence of anion-defective aluminum oxide single crystals have been considered theoretically in terms of the model of an interactive trap system. The model explains the decrease in the degree of superlinearity at a low heating rate, as well as with an increase in the dose increment, the occupancy of deep traps, and the sensitivity of the crystals to radiation due to the increase in the concentration of luminescence centers. The obtained results indicate a widening of the possibilities of the model for interpreting experimental data in the investigation of the dose characteristics of thermoluminescence of the studied crystals.     

Measurement of degree of polarization of fluorescence of pure anthracene crystalline film

The polarization ratio (I _b/I_a) of fluorescence of a monocrystalline film of pure anthracene is measured correcting for all probable errors. Comparison with decay-time data brings out that deviation from the value obtained from absorption measurements is due to a loss of intensity in the a-polarized fluorescence as compared to what is expected from absorption data. This is interpreted as an evidence that anthracene crystal fluorescence is emitted from regions of local lattice imperfections. It is confirmed that the first electronic transition takes place along the short axis of the anthracene molecule.     

Amenability of discrete subgroups of the group of diffeomorphisms of the circle

The amenability of several discrete subgroups of the group of diffeomorphisms of the circle is proved.     

混合物状态方程的计算

多介质流体动力学过程的数值模拟往往涉及混合物状态方程的计算. 做图法和Newton 法是混合物状态方程计算常采用的方法, 前者虽直观精度却差, 后者计算效率高却只具有局部收敛性, 当解与其初始猜测值相差较远时Newton法不一定能够获得收敛解. 为此, 本文给出一种具有大范围收敛性的嵌入算法(imbedding method)求解混合物状态方程, 其基本思想是通过引入嵌入参数, 将待解的混合物状态方程和易解的混合物状态方程线性组合, 构成嵌入方程组, 当嵌入参数从0连续地变化到1 时, 嵌入方程组的解由易解的混合物状态方程的解连续地变化为待解的混合物状态方程的解. 嵌入方程组可由Newton法迭代求解, 也可转化为以嵌入参数为自变量的常微分方程组, 从而易于由成熟的计算方法如梯形法等进行求解. 进一步利用热力学基本关系, Maxwell形式的微分方程描述了压力和温度随嵌入参数的演化速率与应变速率和组分质量分数演化速率的关系. 对铅锡混合物热力学量的计算表明了本文算法的有效性.     

Model of stochastization of the oscillatory regime of superradiance

Based on the analysis of the experimental data on the observation of the fluorescence and superradiance of praseodymium ions in a matrix of lanthanum trifluoride, a model of superradiance of three-level radiators with two close upper levels is developed in the mean-field approximation and studied. The uppermost level is coherently pumped by an ultrashort pulse of electromagnetic field, after which the excitation is transferred to the close energy level, from which the superradiance transition occurs to the lower level. In limiting cases, the considered model is reduced to the known models of superradiance and describes the ordinary regimes of monopulse and multipulse (oscillatory) superradiance. However, in a certain region of parameters, the model under discussion describes such a multipulse superradiance signal in which electromagnetic field spikes composing it follow in time with random intervals and amplitudes, so that the regime of regular chaotic dynamics is demonstrated in a single superradiance signal. In a certain time interval, the proposed model can be described by the Lorenz equations with the parameters corresponding to the chaotic dynamics of spikes composing the superradiance signal. The presented results of the numerical simulation of the model equations qualitatively correspond to the picture of stochastic pulsations observed experimentally.     

Application of a method of linear scaling of frequencies in calculations of the normal vibrations of polyatomic molecules

The frequencies of the harmonic vibrations of 88 compounds consisting of atoms of the first period are calculated in the approximation of the hybrid density functional B3LYP with the 6-31G* basis set. Using 1189 frequencies from experimental IR and Raman spectra of these compounds in the gas phase and the corresponding theoretical frequencies, the coefficients of the function of linear scaling are found by the least squares method. The method of linear scaling of frequencies is applied to the prediction of the 108 vibrational frequencies of a porphin molecule. A conclusion is made that this method is promising for the interpretation of vibrational spectra of complex molecules and, in combination with the Pulay method of scaling of a quantum-mechanical field, for the determination of harmonic force constants.     

Rectangularity of hysteresis loop of ferrites as a function of volume of reverse domains in state of remanence

A study is made of the dependence of the coefficient of rectangularity of the hysteresis loop of ferrites of the Li-Mn-Mg and Mg-Mn-Zn system on the volume concentration of residual reverse domains. The latter is calculated from the results of measurements of the relative remanence on the basis of a model developed. It is shown that a high degree of loop rectangularity can be attained not only in the absence of reverse domains but also in the presence of a considerable volume concentration of such domains.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 109–114, June, 1978.     

Current status of equation of state of nuclear matter

The equation of state (EOS) of symmetric nuclear matter (SNM) is a very important ingredient in the study of various phenomena of interest in nuclear physics and astrophysics. Accurate assessment of the value of the SNM incompressibility coefficient, K, which is directly related to the curvature of the EOS, is needed to extend our knowledge of the EOS in the vicinity of the saturation point. We review the current status of K as determined from experimental data on compression modes in nuclei using the mean-field-based random-phase approximation. The text was submitted by the authors in English.     

Correlation of cytotoxicity and depth of necrosis of the photoproducts of photogem®

Photodynamic therapy (PDT) is an approved modality for cancer treatment, which involves the administration of a photosensitive drug (PS) that is selectively accumulated in neoplastic tissues and their vasculature and subsequently can be activated with light at the appropriate wavelength to generate reactive molecular species that are toxic to tissues. In PDT, a great part of the used PS suffers degradation by light (photobleaching) that involves a decrease in the absorption and intensity of fluorescence of the photosensitizer as well as photoproduct formation evidenced by the appearance of a new absorption band. In this study, we investigated the correlation of cytotoxicity and depth of necrosis of Photogem and its photoproducts obtained previously by irradiation at 514 and 630 nm. The cytotoxicity for degraded Photogem decreases with the previous irradiation time of Photogem solution suggesting that the photoproducts of Photogem are less cytotoxics than the original formulation. A transition between the necrosed epithelium and healthy epithelium of normal liver of rats after irradiation at 630 nm was observed with irradiated and nonirradiated PS. It is observed that the depth of necrosis only at irradiation dose of 150 J/cm² in both concentrations is greater for Photogem followed by Photogem degradated previously at 514 and then at 630 nm. The results obtained suggest that the threshold of necrosis values is lower for Photogem followed by its photoproducts formed, suggesting that the photoproducts present a low photodynamic activity. If the photosensitizer degradation happens at the same time as tumor destruction, the drug degradation can be complete before reaching the threshold of necrosis; then it is very important to control the drug concentration and light intensity of irradiation during PDT.     

Analysis of spectral characteristics of scattering of evanescent waves

The spectral scattering characteristics of nanoscale particles exhibited in the field of evanescent waves are analyzed using the method of discrete sources. The effect of various parameters on the behavior of the scattering characteristics is studied. The material of the particles is shown to have the most substantial effect on the scattering cross section.     

Continuity of the robustness of contextuality of empirical models

Recently, the robustness of contextuality (RoC) of an empirical model was discussed in [Sci. China-Phys. Mech. Astron. 59, 640303 (2016)], many important properties of the RoC have been proved except for its boundedness and continuity. The aim of this paper is to find an upper bound for the RoC over all of empirical models and prove that the RoC is a continuous function on the set of all empirical models. Lastly, a relationship between the RoC and the extent of violating the noncontextual inequalities is established for an n-cycle contextual box. This relationship implies that the RoC can be used to quantify the contextuality of n-cycle boxes.     

Temperature dependence of self-reversal of magnetization of nickel

The temperature dependence of the self-reversal of magnetization of polycrystalline nickel wire at temperatures from room temperature to the Curie point is examined and interpreted. The critical field for self-reversal and the reversed magnetization decrease steadily towards the Curie point and are affected by tension and the prehistory of the specimen.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 52–55, January, 1973.     

Effect on zero drift of accuracy of reciprocal tuning of elements of fiber-optic interferometer

The effect of the accuracy of reciprocal tuning of the elements of a fiber-optic interferometer (FOI) — laser, polarizer, and eigenaxes of single-mode-fiber (SMF) birefringence — is examined. It is shown that zero drift in the FOI consists of two parts — a constant part and a temperature-related variable part. Both of these parts are functions of the polarization state of the radiation at the entrance to the polarizer, the extinction coefficient of the polarized, and the orientation of the SMF eigenaxes with respect to the polarizer. The variable part of the zero drift is also a function of the birefringence and h-parameter of the SMF and the width of the radiation-source spectrum. Numerical estimates of FOI zero drift are made.Institute of Applied Physics, Academy of Sciences of the USSR. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 34, No. 7, pp. 817–824, July, 1991.