Aqueous sol–gel synthesis and thermoanalytical study of the alkaline earth molybdate precursors

The preparation and characterization of the M′–Mo–O nitrate–tartrate (M′ = Mg, Ca, Sr, and Ba) gels, which were produced by the simple aqueous sol–gel method and calcined at 500, 600, 700, 800, 900, and 1,000 °C temperatures are reported. The crystalline alkaline earth metal molybdates (MgMoO₄, CaMoO₄, SrMoO₄, and BaMoO₄) and as-prepared M′–Mo–O nitrate–tartrate gels investigated by thermal analysis (TG/DSC), X-ray diffraction (XRD), and scanning electron microscopy (SEM). TG/DSC analysis showed the possible decomposition mechanism of synthesized gels. XRD studies allowed the identification of main types of crystalline structures in the MgMoO₄, CaMoO₄, SrMoO₄, and BaMoO₄ systems. Moreover, SEM analysis revealed the changes of surface morphology of the final compounds depending on annealing temperatures.     

N-Aryl-N-Hydroxy Urethanes as Peroxidase Substrates

 N-Aryl-N-hydroxy urethanes (AHUs), which are promising N*OH mediators for oxidoreductase catalysis, are electrochemically active redox compounds with a redox potential of 0.35–0.40 V vs. SCE (0.59–0.64 V vs. NHE). Alkyl substituents in the carbamic acid residue have, as expected, only little influence on the redox potential. The highest potential was noticed for N-hydroxy-N-(4-cyanophenyl)-carbamic acid methyl ester. Recombinant Coprinus cinereus peroxidase (rCiP) catalyzes oxidation of the AHUs with apparent bimolecular constants k _ox of 2.5ċ10⁴–7.5ċ10⁴ M ⁻¹s⁻¹ at pH = 8.5 and 25°C. Structure-function connectivities of the substrates were analysed within the framework of the Marcus cross relationship and by using ab initio quantum chemical calculations. An excellent correlation of the redox potentials and the HOMO energies could be found. However, no correlation of log(k _ox) with redox potential and HOMO energy was indicated as predicted by theory. This was explained by specific docking of the substrates in the active center of rCiP.     

Synthesis and Sm/Sm doping effects on photoluminescence properties of Sr4Al14O25

Complete and partial samarium reduction was achieved under strong reducing atmosphere by solid-state and combustion synthesis of Sr_3.96Sm_0.04Al₁₄O₂₅. Dependence of different fluxing agents on the formation of various strontium aluminates was examined. The samples were investigated by X-ray powder diffraction, temperature dependent luminescence decay and photoluminescence measurements. Excitation with UV radiation resulted in sharp and well resolved emission lines of samarium ions. Distinct temperature behavior for Sm²⁺ and Sm³⁺ were detected in the range of 100-500 K. Estimated emission thermal quenching values (TQ_1/2) for divalent samarium were approximately 270 K while for trivalent state around 660 K. Measured luminescence decay values of Sm²⁺ are substantially lower than for Sm³⁺,≈1.7 and ≈2.7 ms, respectively. The spectral feature of Sm²⁺ emission spectrum indicates that dopant occupies low symmetry site in Sr₄Al₁₄O₂₅ compound.     

Arithmetical Properties of Powers of Algebraic Numbers

We consider the sequences of fractional parts {ⁿ}, n = 1, 2,3,..., and of integer parts [ⁿ], n = 1, 2, 3,..., where isan arbitrary positive number and > 1 is an algebraic number.We obtain an inequality for the difference between the largestand the smallest limit points of the first sequence. Such aninequality was earlier known for rational only. It is alsoshown that for roots of some irreducible trinomials the sequenceof integer parts contains infinitely many numbers divisibleby either 2 or 3. This is proved, for instance, for , n = 1, 2, 3,.... The fact that thereare infinitely many composite numbers in the sequence of integerparts of powers was proved earlier for Pisot numbers, Salemnumbers and the three rational numbers 3/2, 4/3, 5/4, but nosuch algebraic number having several conjugates outside theunit circle was known. 2000 Mathematics Subject Classification11J71, 11R04, 11R06, 11A41.     

Elastic properties of chemically modified baker's yeast cells studied by AFM

Chemical pretreatment is widely used to facilitate transformation of living cells when foreign components are introduced into a cell through the cell wall. The influence of appropriate chemicals on the wall properties and mechanism of transformation is still a matter of intensive studies. Saccharomyces cerevisiae cells (also known as baker's yeast) were investigated by atomic force microscopy (AFM). The cell walls were modified by lithium acetate and dithiothreitol. The AFM imaging was performed in liquid water‐based environment. The living cells were fixed by trapping into the holes of a polycarbonate membrane. Mechanical and morphological properties of initial intact cells and treated cells were investigated. The increased stiffness of the chemically treated cells was observed. As deduced from the applied theoretical Hertz‐Sneddon model, the treated cells show completely different response mechanism to applied mechanical pressure in comparison with the intact cells. Also, the increased roughness of the cell wall of the treated yeasts was observed. Copyright © 2011 John Wiley & Sons, Ltd.     

On the fractional parts of the natural powers of a fixed number

Let ξ ≠ = 0 and α > 1 be reals. We prove that the fractional parts {ξ αⁿ}, n = 1, 2, 3, ..., take every value only finitely many times except for the case when α is the root of an integer: α = q ^1/d, where q ≥ 2 and d ≥ 1 are integers and ξ is a rational factor of a nonnegative integer power of α.     

Synthesis and photoluminescence properties of Sm-doped LaMgB5O10 and GdMgB5O10

Luminescence and reflection spectra as well as luminescence kinetics of the 1 mol% Sm³⁺-doped crystalline lanthanum magnesium meta borate (LaMgB₅O₁₀) and gadolinium magnesium meta borate (GdMgB₅O₁₀) were analyzed. Materials were synthesized by conventional solid state route and showed bright orange-red emission under UV excitation. Emission spectra contain sharp and well resolved Sm³⁺⁴G_5/2→⁶H_J transitions indicating a strong crystal-field effect. In case of gadolinium compound energy transfer between Gd³⁺ and Sm³⁺ was detected. The luminescent kinetics of the Sm³⁺ in analyzed powders is characterized by single exponential decay and experimental values vary in the range 2.2-2.4 ms.