A study of void size growth in nonequilibrium stochastic systems of point defects

We study properties of voids growth dynamics in a stochastic system of point defects insolids under nonequilibrium conditions (sustained irradiation). It is shown thatfluctuations of defect production rate (external noise) increase the critical void radiuscomparing to a deterministic system. An automodel regime of void size growth in astochastic system is studied in detail. Considering a homogeneous system, it is found thatexternal noise does not change the universality of the void size distribution function;the mean void size evolves according to classical nucleation theory. The noise increasesthe mean void size and spreads the void size distribution. Studying dynamics of spatiallyextended systems it was shown that vacancies remaining in a matrix phase are able toorganize into vacancy enriched domains due to an instability caused by an elastic latticedeformation. It is shown that dynamics of voids growth is defined by void sinks strengthwith void size growth exponent varying from 1/3 up to 1/2.     

Mechanistic studies of UV assisted [4 + 2] cycloadditions in synthetic efforts toward vibsanin E

Quantum chemical DFT calculations at the B3LYP/6-31G(d) level have been used to study the stereochemical course of the photochemical cycloaddition of enone 9 with dienes. The observed products of this photochemically induced cycloaddition showed a stereoselectivity, which is opposite to what would be expected by FMO considerations. The quantum chemical calculations revealed that the unusual stereoselectivity of the reaction can be rationalized by assuming a stereospecific photochemical cis-trans isomerization of enone 9 to trans isomer 9a followed by a thermal Diels-Alder reaction of the diene onto the highly reactive trans enone. The photochemical reaction step involves the selective formation of a twisted triplet intermediate, which accounts for the selectivity of the reaction.     

Acoustic field structure in the first oceanic convergence zone for different frequencies in the audio range

Experimental data on the angular and energy structures of the acoustic field generated in the first convergence zone by a source of continuous pseudo-noise radiation in the frequency range 0.5–4.0 kHz are presented. The experiments are carried out in a tropical region of the Central Atlantic. The acoustic field characteristics are studied with the omnidirectional and highly directional (～2°) reception in the vertical plane. Particular attention is given to studying the field structure at the entrance to the convergence zone at frequencies of 1.25 and 3.15 kHz. The experimental data are compared with the ray calculations. In the experiments, the origin of the convergence zone, which is determined by a sharp increase in the received signal intensity, is found to be about 1.2 km nearer to the source than in the calculations. At a frequency of 1.25 kHz, the convergence zone begins 300 m nearer than at the higher frequency (3.15 kHz). At distances of several kilometers to the zone origin, weak signals that arrive at the same angles as the signals forming the origin of the convergence zone are detected.     

Separation of Pyrimidine Bases on a HPLC Stationary RP-18 Phase Coated with Calix[4]resorcinarene

Lipophilic calix[4]resorcinarenes, derived from lauryl aldehyde and resorcinol, are strongly adsorbed on the modified silica gel RP-18 for HPLC chromatography, while their solutions are passed through the column. The calix[4]resorcinarene-coated RP-18 phases were found to be useful beds for HPLC separation of uracil, thymine and cytosine.     

A quantum analog of the Poincare-Birkhoff-Witt theorem

We reduce the basis construction problem for character Hopf algebras to a study of special elements, called “super-letters,” which are defined by Shirshov standard words. It is shown that character Hopf algebras having not more than finitely many “hard” super-letters share some of the properties of universal envelopings of finite-dimensional lie algebras. The background for our proofs is the construction of a filtration such that the associated graded algebra is obtained by iterating the skew polynomials construction, possibly followed with factorization. Supported by the National Society of Researchers, México (SNI, exp. 18740, 1997–2000) Translated fromAlgebra i Logika, Vol. 38, No. 4, pp. 476–507, July–August, 1999.     

Large Deviation Probabilities for Square-Gaussian Stochastic Processes

We investigate properties of square-Gaussian stochastic processes. These processes are formed by quadratic forms of Gaussian processes or by limits in the mean square of quadratic forms of Gaussian processes. Special classes of these processes are determined and investigated. For processes from these classes estimates of large deviation probability are obtained. These estimates we use to estimate the probability that Gaussian vector-valued process leave some region on some interval of time. We construct asymptotic confidence regions for estimates of covariance functions of vector-valued Gaussian processes. Criterion of hypothesis testing on covariance functions of these processes is constructed.     

Evaluation of the possibilities of detecting ejections of nitrogen oxides by an airborne differential absorption lidar operating in the medium ir spectral region

Using numerical simulation, we evaluated the possibilities of detecting ejections of nitrogen oxides by an airborne differential absorption lidar operating in the medium IR spectral region at converted frequencies of CO- and CO₂-lasers. We present results of calculations of random errors in determining the integrated content of nitrogen oxide and dioxide depending on the amount of ejection and the flight altitude of an airplane. It is shown that the use of frequency-converted CO- and CO₂-laser radiation makes it possible to determine ground-level ejections of nitrogen oxides at a level of 0.01 MPC. Institute of Atmospheric Optics, Siberian Branch of the Russian Academy of Sciences, I Akademicheskii Ave., Tomsk, 634055, Russia; e-mail: oleg@losa.iao.tomsk.ru. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 66, No. 6, pp. 843–845, November–December, 1999.     

Novel network polymers based on calixresorcinarenes

The novel network polymers 2a-2d based on calix[4]resorcinarene derivatives were obtained with yields 2a: 80%, 2b: 90%, 2c: 70%, 2d: 70%. Polymers 2a and 2b containing fragments of tetramethylcalix[4]resorcinarene or tetraphenylcalix[4]resorcinarene as a repeating units were synthesized by condensation cis-tetramethylcalix[4]resorcinarene or cis-tetraphenylcalix[4]resorcinarene with formaldehyde. Polymers 2c and 2d containing fragments of furylcalix[4]resorcinarene were obtained by condensation of formaldehyde with products of calix[4]resorcinarene and furfural interaction. The IR spectra and sorption properties of the polymers were researched. It is found out that 2a-2d can participate in the cation-exchange reaction.     

Material issues for construction of organic and polymeric driving circuits for display and electronic applications

Organic and polymeric driving circuits may be a possible alternative to realize low cost flexible and large area flat panel displays. Recent efforts have been directed to the discovery of solution processable polymeric semiconductors for the ease of fabrication and low cost. In this paper, we report the investigation of various 3‐substituted regioregular polythiophenes as active semiconductors for field‐effect transistors. The best transistor performance has been found with regioregular poly(3‐heaxylthiophene). The difference in their device performance was correlated to the structure and morphological behavior of these regioregular polythiophenes.     

Partial Sn‐atom ordering in Sm3Ga0.80–2.48Sn4.20–2.52

Trisamarium digallide tristannide crystallizes with a partially ordered Pu₃Pd₅‐type structure in space group Cmcm. In a single crystal of Sm₃Ga_1.89(4)Sn_3.11(4), the 8g position is mostly occupied by Sn atoms (93% Sn and 7% Ga), while the 4c and 8f positions are occupied by a Ga/Sn statistical mixture. The evolution of the structure as a function of the Ga content has been studied by X‐ray powder diffraction on ten Sm₃Ga_5−xSn_x samples. It is shown that the 8g position remains occupied essentially exclusively by Sn atoms within the whole homogeneity range, with x ranging from 2.52 to 4.20.