Tetraaryl-1,3-dioxolane-4,5-dimethanols as catalysts for the addition of trimethylsilyl cyanide to benzaldehyde and the oxirane ring

The synthesis of 1,2-, 1,3-, and 1,4-phenylene-bis[(4R,5R)-4,5-di(hydroxydiphenylmethyl)-1,3-dioxolane]s (ortho-, meta-, and para-bis-(R,R)-TADDOLs) and bis[4-{[(4R, 5R)-4,5-di(hydroxydiphenylmethyl)]-1,3-dioxolan-2-yl}phenyl]methane was carried out. The possibilities of the use of these compounds as catalysts for the C-C bond formation in the addition of Me₃SiCN to benzaldehyde and the oxirane ring opening in cyclohexene oxide by Me₃SiCN were investigated. The catalytic activity of different bis-(R, R)-TADDOLs in this series depends on their structure. Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 8, pp. 1451–1458, August, 2007.     

Synthesis and Properties of Cadmium-containing Quinolinium and Pyrilium Salts

Consecutive treatment of methyl-substituted quinolinium and 2,6-diarylpyrilium perchlorates with sodium ethylate and equimolar amount of anhydrous cadmium(II) trifluoroacetate gives 2- and 4-methylenecadmium-containing salts of the above heterocyclic cations in 80-97% yields. The reactions of the cadmium-containing quinolinium and pyrilium salts with hydrochloric acid, acetic anhydride, mercuric trifluoroacetate, SnCl₂, and nickel(II) trifluoroacetate, resulting in substitution of the CdOCOCF₃ group by hydrogen, Ac, HgOCOCF₃, SnCl, and NiOCOCF₃, respectively, were studied.     

Effect of microheterogeneity on the kinetics of oxidation of methyl linoleate in micelles

The kinetic results of the radical chain oxidation of methyl linoleate (LH) in micelles were given. The oxidation rate depends on the average number of substrate molecules in the micelle and is almost independent of the micelle concentration under the given conditions. The chain propagation and termination were assumed to predominantly occur inside the micelle. Possible reasons for linear chain termination during the oxidation of polyunsaturated fatty esters in microheterogeneous systems were discussed.     

Stability of bars with variable rigidity compressed by a distributed force

A variable cross-section bar is considered. The bar is not uniform in length. The bar is compressed by a variable longitudinal force distributed along its axis. The stability loss in the straightline shape of the bar’s equilibrium is discussed when a curved shape is also possible. The critical combination between rigidity and the longitudinal force is a result of using an integral representation for the solution to the original stability equation with variable coefficients with the aid of the solution to a similar equation with constant coefficients. The integral representation contains the Green function of the original equation. This function is determined by the method of perturbations. The numerical results obtained by the derived formulas are compared with the known exact solutions to the stability equations for various particular cases.     

Reactions of 3-substituted 3-azabicyclo[3.3.1]nonan-9-ones with nitrogen-containing nucleophiles

Condensation of 3-substituted 3-azabicyclo[3.3.1]nonan-9-ones with hydroxylamine and hydrazine hydrate gave the corresponding oximes, hydrazones, and azines. Reductive amination of the title compounds in the presence of sodium triacetoxyhydridoborate led to the formation of 3-substituted 3-azabicyclo[3.3.1]nonan-9-amines which were converted into the corresponding dihydrochlorides by treatment with dry hydrogen chloride. Treatment of 3-tert-butoxycarbonyl derivatives with HCl under analogous conditions was accompanied by elimination of the tert-butoxycarbonyl group to produce 3-azabicyclo[3.3.1]nonan-9-amine dihydrochlorides.     

Schmidt reaction and beckmann rearrangement in the series of 3-azabicyclo[3.3.1]nonan-9-one derivatives

Russian Journal of Organic Chemistry -     

Diagram theory for the periodic anderson model: Stationarity of the thermodynamic potential

We develop a diagram theory for the periodic Anderson model assuming that the Coulomb repulsion of localized f electrons is the main parameter of the theory. The f electrons are strongly correlated and the c conduction electrons are uncorrelated. We determine the f-electron correlation function and the c-electron mass operator. We formulate the Dyson equation for c electrons and a Dyson-type equation for f electrons and their propagators. We define the skeleton diagrams for the correlation function and the thermodynamic functional. We establish the stationarity of the renormalized thermodynamic potential under variation of the mass operator. The obtained results are applicable to both the normal and the superconducting system states.