Asymptotics of a multiple Cauchy integral with rapidly oscillating exponential

An asymptotic expansion uniform with respect to a parameter is obtained for a multiple Cauchy integral with a rapidly oscillating exponential in the integrand under the assumption that the singularity lines are in a general position.Translated fromMatematicheskie Zametki, Vol. 58, No. 2, pp. 231–242, August, 1995.The work was financially supported by the Russian Foundation for Basic Research under grant No. 94-01-00193-a.     

Effect of a Competing n Donor on the Rate of AlCl3-Catalyzed Diels-Alder Reaction of 9,10-Dimethylanthracene with Maleic Anhydride

The catalytic effect of AlCl₃ on the Diels-Alder reaction of 9,10-dimethylanthracene with maleic anhydride is dramatically weakened on addition of a competing n donor, dibutyl ether. The n,v complex of aluminum chloride with dibutyl ether is considerably more stable than the complex with maleic anhydride; therefore, the catalytic effect is suppressed even at comparable concentrations of these n donors.     

Photosensitization of electronic transitions by dye molecules in systems consisting of a semiconductor and adsorbed molecules of p-benzoquinone

Electrophysical methods and ESR measurements have been used to investigate the changes, photosensitized by molecules of rhodamine B (RB), in the charge states of electron traps created by molecules of p-benzoquinone (pBQ) in the Ge/GeO₂ system. The results obtained in studying the quenching of fluorescence of RB molecules indicate that the photodestruction of electron traps is due to transfer of electronic excitation energy traps is due to transfer of electronic oxidation energy from the RB molecules to charged complexes formed upon adsorption of the pBQ. In order to select optimal conditions for recharging of such complexes, a study has been made of the relationship between the relative change in ESR signal and the concentration of adsorbed RB molecules.Translated from Teoreticheskaya i Éksperimental'naya Khimiya, Vol. 25, No. 5, pp. 545–550, September–October, 1989.     

Diels—Alder reaction. Effect of internal and external factors on the reactivity of diene—dienophile systems

The key factors influencing the Diels—Alder reaction rate at ambient and elevated pressures were elucidated using data on the reactivity of various diene—dienophile systems in usual and Lewis acid-catalyzed Diels—Alder reactions, the reaction enthalpy, complex formation, dissolution, and solvation, and the donor-acceptor properties of the reactants. It was found that taking account of both the orbital interaction energy and the balance of bond rupture and formation energies allows correct prediction of the reaction rate in the absence or in the presence of Lewis acids.     

Liquid chromatography of cardiac glycosides

Summary LC was used for the separation of several cardiac glycosides with water-alcohol eluents on a silanised silica column. The influence of temperature and composition of the eluent on the retention time, the retention volumes of the glycosides, the selectivity and the capacity factor of the column were studied. Higher temperature and a higher ethanol content in the eluent reduce the retention time, the selectivity and the capacity factor but the efficiency of the column increases. The best separation of six glycosides studied was obtained at 50°C, the ethanol content in the eluent being about 30%.     

Solution of Goursat problem for the Maxwell-Bloch system

A formal method of solving the initial—boundary-value problem in the quadrantx0,t0 for the Maxwell-Bloch system of equations is presented in terms of the inverse scattering problem.Institute of Mathematics, Urals Branch, Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 98, No. 1, pp. 29–37, January, 1994.     

Die untersuchung von adsorptionsgleichgewichten auf graphitiertem thermischen ruß mittels gas-chromatographie

Zusammenfassung Auf der Oberfl?chevon graphitiertem themischen Ru? werden im Grenzgebiet kleiner Belegungen die Retentionsvolumina und Adsorptionsw?rmen der Alkane, Alkene, Alkadiene, Alkine, Cyclane,Cyclene von C₁−C₆ und Benzol bestimmt. Es werden die Abh?ngigkeiten der Adsorptionsw?rmen dieser Moleküle von ihren Polarisierbarkeiten Zhal der Kohlenstoffatome, Grad der Verzweigung und Cyclisierung, Anwesenheit von Doppelbindungen und konjugierten Bindungen untersucht.

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Gas chromatographic investigation of the adsorption equilibrium on graphitized thermal carbon black I. The henry-constants and heats of adsorption of C₁−C₆ hydrocarbons at zero coverage

Summary The retention volumes and heats of adsorption at low surface coverages of graphitized thermal carbon black for C₁−C₆ alkanes, alkenes, alkadienes, alkynes, cyclanes, cyclenes, and benzene have been determined. The dependence of heats of adsorption of these molecules on polarisability, carbon number, isomerisation and cyclisation, the presence of double bonds and conjugated bonds were investigated.

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Etude par la chromatographie en phase gazeuse de l'équilibre d'adsorption sur le noir de carbone graphitisé par voie thermique I. constante de henry et enthalpie d'adsorption des hydrocarbures en C₁ à C₆ pour les taux de recouvrement nuls

Résumé On a déterminé les volumes de retention et les enthalpies d'adsorption des molécules d'alcanes, alcènes, alcadiènes, alcynes, cyclanes, cyclènes en C_` à C₆ et du benzène sur la surface du noir de carbone graphitisé par voie thermique pour les taux de recouvrement faibles. On a aussi étudié la relation entre les enthalpies d'adsorption de ces molécules et leur polarisabilité, leur nombre d'atomes de carbone, la ramification de leur cha?ne, la cyclisation, le nombre de doubles liaisons et de doubles liaisons conjuguées.

     

Polymerization dynamics of double-stranded biopolymers: chemical kinetic approach

The polymerization dynamics of double-stranded polymers, such as actin filaments, is investigated theoretically using simple chemical kinetic models that explicitly take into account some microscopic details of the polymer structure and the lateral interactions between the protofilaments. By considering all possible molecular configurations, the exact analytical expressions for the growth velocity and dispersion for two-stranded polymers are obtained in the case of the growing at only one end, and for the growth from both polymer ends. Exact theoretical calculations are compared with the predictions of approximate multilayer models that consider only a finite number of the most relevant polymer configurations. Our theoretical approach is applied to analyze the experimental data on the growth and fluctuations dynamics of individual single actin filaments.