Continuous mappings of open sets in a Banach space

If is a bounded open set of a Banach space (B), is a completely continuous mapping of into the same space (B), and E- , where E is the identity transformation, is a uniformly fading mapping of into the Banach space, then the order of on equals ± 1 at every point y of .Translated from Matematicheskii Zametki, Vol. 13, No. 6, pp. 838–848, June, 1973.In conclusion, the author wishes to express her gratitude to her supervisor, K. A. Sitnikov.     

Reaction of sulfenamides withN,N-dimethylaniline in the presence of phosphorus(v) oxochloride

Reaction of arylsulfenamides withN,N-dimethylaniline in the presence of POCl₃ at room temperature affords unsymmetrical diaryl sulfide, onlypara-substitutedN,N-dimethylanilines being formed. Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 1, pp. 178–179, January, 2000.     

Quantum chemical study of regioselectivity of reactions of substituted pyrido[1,2-<Emphasis Type="Italic">a</Emphasis>]benzimidazoles with electrophiles

The geometric, charge, and electronic characteristics of 7-substituted pyrido[1,2-a]benzimidazoles and their cations were calculated using the DFT method with the B3LYP functional in the 6-31G** basis set. High regioselectivity of the reactions between the condensed imidazole derivatives and electrophilic agents was explained by the results of quantum chemical simulation. It was concluded that the S _EAr reaction was orbitally controlled. According to Fukuís concept, the reaction center of the electrophilic attack was the C(8) atom of the heterocyclic system, which agreed well with the experimental data.     

Influence of the interatomic potential on thermotransport in binary liquid alloys: case study on NiAl

Equilibrium molecular dynamics simulation in conjunction with the Green-Kubo formalism is employed to study the transport properties of a model Ni₅₀Al₅₀ melt with the embedded-atom method potential developed in [G.P. Purja Pun, Y. Mishin, Phil. Mag., 2009, 89, 3245]. The principal objective of the work is to quantitatively characterise and analyse thermotransport in the system, i.e. diffusion driven by a temperature gradient. In addition, direct phenomenological coefficients for mass and thermal transport are also evaluated and analysed in the process. Furthermore, the results obtained are compared with previously published data for a different model of Ni₅₀Al₅₀ melt with an alternative embedded-atom method potential for the alloy as well as with experiment where possible. It is found that both potentials are able to consistently predict both direct transport coefficients over a wide temperature range. However, these two potentials are found to be inconsistent in characterising the cross-coupled heat and mass transport, predicting even different directions (sign) of the heat of thermotransport. The origin of this difference is discussed in the paper in detail.     

Experimental research of the interference and phase structure of the power flux from a local source in shallow water

The paper studies the interference structure of low-frequency tonal and wideband signals in shallow water, received by four-component vector-scalar modules. The spatial amplitudes and phase characteristics of the scalar field are analyzed, as well as three components of the vibration velocity vector and the power flux vector. A relationship is established between the zone of interference maxima and minima and the phase gradient in the horizontal and vertical plane, the change in direction of the vertical and horizontal components of the vibration velocity vector, and the change in the depression angle of the power flux vector in the horizontal plane.     

Synthesis of 3,5-dicya nopyridine by oxidative ammonolysis of 3,5-lutidine

Pyridine-3,5-dicarboxylic acid was synthesized by oxidative ammonolysis of 3,5-lutidine and hydrolysis of the resulting 3,5-dicyanopyridine.Communication XCIV from the series Oxidation of Organic Compounds; see [1] for communication XCIII.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 6, pp. 819–820, June, 1973.     

Electrochemical Template Synthesis of an Polyaniline Composite with Polymeric Perfluorinated Sulfo Cationite

Combining a tracer technique with electrochemical measurements offers a unique opportunity to study the mechanism of anodic synthesis of a composite based on an electron-conducting polymer (polyaniline) and a polymeric perfluorinated sulfo cationite (Nafion, MF-4SK). The composite formation involves two steps. First, the monomer (aniline) is intercalated into the solid-cationite matrix probably with the formation of a template phase, after which postintercalation polymerization of the template occurs.     

Structure and Energetics of β-Diketonates. XII. Structure of Lanthanide tris-Dipivaloylmethanates for Er(thd)3 Used as an Example

A simultaneous electron diffraction and mass spectroscopic study of saturated vapors of erbium tris-dipivalylmethanate has revealed that at 136(5)°C, the vapor consists solely of Er(thd)₃ molecules. Electron diffraction data may be described by two alternative models (of C_3 and D_3 symmetry), for which r_a, r_g, and r structural parameters have been determined. D₃ symmetry is recognized to be preferable for free Er(thd)₃ molecules. The main structural parameters of the model are r (Er – O) 2.218(5), r (O – C) 1.279(5), r (C – C_r) 1.404(6), r (C – C_t) 1.512(3), r(C_t – C_m) 1.542(5), r (rm C_m– H) 1.804(4) , The ErO 75.0(0.4)°. The ErO₆ coordination polyhedron has a structure close to an antiprism. A rotational angle of the O–O–O trigonal face relative to the position in a regular prism is 20.7(0.8)°. Possible reasons for the differences in the structure of Er(thd)₃ molecules in the gas phase and crystal are discussed.     

Structure and Energetics of β–Diketonates. XI. Molecular Structure of Sc(thd)3 from Gas–Phase Electron Diffraction Data

Electron–diffraction and mass–spectrometric studies of saturated vapor of scandium tris–dipivaloyl–methanate showed that at 135(5)°, the vapor contains only monomeric Sc(thd)₃, whose structural parameters r _a , r _g , and r were determined. The internuclear distances in the chelate ring were found to be rSc=O) = 2.066(5), r(O=C) = 1.272(3), and r(C=C_r) = 1.385(3). The ScO₆ coordination polyhedron has a D ₃ symmetry configuration close to a regular antiprism. The angle of rotation of the O=O=O trigonal faces relative to their position in a regular prism is 25.7(1.5)°.     

New Method of Synthesis of β-Haloalkyl Alkynyl Sulfides: Reaction of Alkynesulfenamides with Olefins in the Presence of Phosphoryl Halides

Reactions of alkynelsufenamides with olefins (such as cyclohexene, norbornene, 1-hexene, 1-octene, allylbenzene, and styrene) in the presence of phosphoryl halides (POCl₃, POBr₃) afforded 70–95% of β-halo-substituted alkyl alkynyl sulfides. The reactions with cyclohexene and norbornene are characterized by trans stereoselectivity. Alkynylsulfenylation of terminal alkyl- and benzylacetylenes occurs in a regioselective fashion with predominant formation of the corresponding anti-Markownikoff adducts, while the addition to styrene yields halogen-containing sulfides according to the Markownikoff rule.__________Translated from Zhurnal Organicheskoi Khimii, Vol. 41, No. 7, 2005, pp. 977–982.Original Russian Text Copyright © 2005 by Beloglazkina, Belova, Dubinina, Garkusha, Buryak, Zyk.