Analogs of pyrimidine nucleosides

The reaction of alkoxy bromides with N₁-(-tetrahydrofuryl) derivatives of pyrimidine bases has given a series of 6-alkoxy-5-bromo-1-(-tetrahydrofuryl)-5, 6-dihydrouracils. The hydrogenation of the 1-(-tetrahydrofuryl) derivatives of uracil and of 5-fluorouracil has been studied. It has been shown that in both cases 1-(-tetrahydrofuryl)-5, 6-dihydrouracil is formed.     

Analogs of pyrimidine nucleosides

A number of N₁-(-butyrolactono) derivatives of 5-substituted uracils have been synthesized by condensing the sodium derivatives of the corresponding bases with -bromobutyrolactone or by the halogenation of N₁-(-butyrolactono)uracil.For part I, see [1].     

Certain exact bounds for seminorms given on spaces of periodic functions

Certain new bounds are established for the values of seminorms given on the spaces C and L^p (1p<) of periodic functions by means of the norm of the function itself and its finite differences, as well as of the moduli of continuity. These bounds are applied to concrete seminorms; in particular, to the best approximation, which yields a refinement of the direct theorems in approximation theory. The results obtained for spaces C and L¹ are exact.Translated from Matematicheskie Zametki, Vol. 21, No. 6, pp. 789–798, June, 1977.     

Study of electrorheological sensitivity of suspensions based on hydrated aluminum oxides

The electrorheological fluids with the disperse phase formed by the particles of hydrated aluminum oxides prepared by the chemical precipitation from aluminum-containing solutions and subjected to heat treatment at different temperatures are studied. It is shown that the electrorheological activity of suspensions depends on the chemical and phase compositions of the dispersed phase. The influence of water, whose different forms comprise hydrated aluminum oxides, on the manifestation of the electrorheological effect of suspensions is estimated. It is established that the maximum gain in the effective viscosity of electrorheological fluids is related with water molecules forming hydrogen bonds in the interlayer space of the boehmite lattice.     

A mechanistic investigation of (Me3Si)3SiH oxidation

The interaction of (Me₃Si)₃SiH with O₂ is known to afford (Me₃SiO)₂Si(H)SiMe₃ in which the two oxygen atoms arise from the same oxygen molecule. In order to investigate the mechanism of this unusual reaction, the oxidation rates were measured in the temperature range 30-70 °C by following oxygen uptake in the presence and absence of hydroquinone as inhibitor. The rate constant for the spontaneous reaction of (Me₃Si)₃SiH with O₂ was determined at 70 °C to be ∼3.5 × 10⁻⁵ M⁻¹ s⁻¹. A sequence of the propagation steps is proposed by combining the previous and present experimental findings with some theoretical results obtained at the semiempirical level. These calculations showed that the silylperoxyl radical (Me₃Si)₃SiOO undergoes three consecutive unimolecular steps to give (Me₃SiO)₂Si()SiMe₃. Evidence has been obtained that the rate determining step is the rearrangement of silylperoxyl radical to a dioxirand-like pentacoordinated silyl radical. Our findings are of considerable importance for the understanding of the oxidation of hydrogen-terminated silicon surfaces.     

Direct calculation of the crystal-melt interfacial free energy via molecular dynamics computer simulation

We review our recent work on the direct calculation of the interfacial free energy, gamma, of the crystal-melt interface via molecular dynamics computer simulation for a number of model systems. The value of gamma as a function of crystal orientation is determined using a thermodynamic integration technique employing moving cleaving walls [Phys. Rev. Lett. 2000, 85, 4751]. The calculation is sufficiently precise to resolve the small anisotropy in gamma, which is crucial in determining the kinetics and morphology of dendritic growth. We report values of gamma for the hard-sphere and Lennard-Jones systems, as well as recent results on the series of inverse-power potentials. For the inverse sixth-, seventh-, and eighth-power systems, we determine gamma for both fcc and bcc crystal structures. For these systems, the bcc-melt gamma is lower than that for fcc crystals by about 25%, consistent with recent experiments and computer simulations on fcc-forming systems that show preferential formation of bcc nuclei in the initial stages of crystallization. In addition, we show that our results give a molecular interpretation of Turnbull's rule, which is the empirical relationship between gamma and the enthalpy of fusion.     

A structural study of ternary lanthanide orthoscandate perovskites

Ternary lanthanide scandates (Ln=La, Pr, Nd, Sm, Eu, Gd, Tb, Dy, and Ho) have been synthesized at ambient pressure. Their structure has been investigated at room temperature by Rietveld analysis of powder X-ray diffraction data. The Ln-scandates are orthorhombic perovskites, adopting space group Pbnm (? 62), a≈b≈√2a_p, c≈2a_p, Z=4. Heavy lanthanides (Er-Lu), and Y do not form perovskites at ambient conditions. Compositionally driven phase transitions were not observed. The unit-cell parameters decrease with increasing ScO₆ octahedron rotation and atomic number of the Ln cation. In common with lanthanide orthoferrites, the uniform structural evolution is interrupted at the middle-heavy part of the lanthanide sequence. This is probably due to an interplay between: (i) enlargement of the ScO₆ octahedra relative to BO₆ in other perovskites (e.g., FeO₆ in GdFeO₃); (ii) reduction in size of the first coordination sphere of Ln³⁺ coincident with the lanthanide contraction; (iii) coincident expansion of the second coordination sphere due to screening effects of O^I1 on O^I2, and entry of Sc to the lanthanide coordination sphere; (iv) complex mixing between oxygen and lanthanide lanthanide f- and scandium d-orbitals. In the series studied, Ln³⁺ are in eight-fold coordination (tetragonal antiprism), and are considerably displaced from the center of the LnO₈ polyhedron along [001]. Evolution of the crystallochemical characteristics through the Ln orthoscandate series is complex due to both the antipathetic distortions of A- and B-site coordination polyhedra and interaction of the orbitals of oxygen, Ln and Sc. Empirically obtained limits of Goldschmidt and observed ^viiit_o tolerance factors for ternary LnBO₃ compounds adopting the Pbnm structure are 0.795 and 0.841, respectively.     

Multistage adaptive compensation of active noise interferences using block orthogonalization of signals of compensation channels

The multistage digital automatic compensators of active noise interferences have been synthesized using the block Gram-Schmidt orthogonalization and LS-algorithm based on the least squares criterion. The specified automatic compensators ensure parallel-serial processing of signals. The application of RLS-algorithm made it possible to obtain a recurrent procedure for calculation of weighting coefficients of automatic compensator modules represented in the form of multiinput weighting adders. Statistical computer simulation was used to analyze the multistage digital automatic compensators based on the RLS-algorithm with simultaneous adaptation of weighting adders of all stages. As a result of parallelization of computational process, the synthesized multistage automatic compensators made it possible to increase the speed of processing (signal sampling frequency) by one order of magnitude and more as compared to that of automatic compensators built on single-stage scheme.