Equations of optimal nonlinear filtration and interpolation for partially observed Markov processes

Recurrence relations are obtained for problems of optimal filtration and interpolation of partially observed discrete Markov chains. We present the system of differential equations for problems of optimal nonlinear filtration for Markov processes with continuous time and the system of inverse differential equations for problems of optimal nonlinear interpolation.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 8, pp. 971–976, August, 1994.     

X-ray photoelectron spectra of heterometallic 3<Emphasis Type="Italic">d</Emphasis>-metal carboxylate complexes

The electronic structure and magnetic states in the heterometallic hexanuclear complex Mn₄^IIFe₂^III (μ₄-O)₂(Piv)₁₀ · MeCN₄ have been studied by X-ray photoelectron spectroscopy (XPS). The substitution of two Mn atoms for two Fe atoms in the hexanuclear complex was found to have an effect on the patterns of iron and manganese X-ray photoelectron spectra. XPS data are evidence of the high-spin paramagnetic state of Mn^II and Fe^III atoms, as well as of the ligand-metal charge transfer upon complex formation. In the heteroatomic complex, the degree of bond covalence increased for both the manganese and iron atoms. The results obtained are in good agreement with X-ray diffraction data.     

α-Diimine Cisplatin Derivatives: Synthesis,Structure, Cyclic Voltammetry and Cytotoxicity

Three new Pt(II) complexes [(dpp-DAD)PtCl₂] (I), [(Mes-DAD(Me)₂)PtCl₂] (II) and [(dpp-DAD(Me)₂)PtCl₂] (III) were synthesized by the direct reaction of [(CH₃CN)₂PtCl₂] and corresponding redox-active 1,4-diaza-1,3-butadienes (DAD). The compounds were isolated in a single crystal form and their molecular structures were determined by X-ray diffraction. The purity of the complexes and their stability in solution was confirmed by NMR analysis. The Pt(II) ions in all compounds are in a square planar environment. The electrochemical reduction of complexes I–III proceeds in two successive cathodic stages. The first quasi-reversible reduction leads to the relatively stable monoanionic complexes; the second cathodic stage is irreversible. The coordination of 1,4-diaza-1,3-butadienes ligands with PtCl₂ increases the reduction potential and the electron acceptor ability of the DAD ligands. The synthesized compounds were tested in relation to an adenocarcinoma of the ovary (SKOV3).     

Mikrochemie

Ohne Zusammenfassung     

Nonmonotonic variation of the electrical conductivity of C<Subscript>60</Subscript> fullerene crystals dynamically compressed to 300 kbar as evidence of anomalously strong reduction of the energy barrier of C<Subscript>60</Subscript> polymerization at high pressures

The electrical conductivity of a C₆₀ fullerene crystal is measured under the conditions of quasi-isentropic loading by a diffuse shock wave to a pressure of 30 GPa at room temperature. Nonmonotonic behavior of the conductivity of the samples with an increase in pressure is observed: first, conductivity increases by several orders of magnitude and, then, decreases rapidly. An increase in conductivity is explained by a decrease in the band gap under pressure, whereas a decrease in conductivity may be explained under the assumption that the energy barrier of C₆₀ polymerization decreases similarly to the band gap with an increase in pressure. As a result, the rate of C₆₀ polymerization at high pressures increases considerably (by more than seven orders of magnitude).