Iwasawa invariants of Λ-adic representation

It is a classical result that the number of primes ? for which τ(?) vanishes has Dirichlet density 0, where τ(?) is the Ramanujan τ function. We study an analogous question that arises in studying the Λ-adic representation whose image is full. In particular, we show that the set of primes ? for which the trace of the Frobenius at ? has positive μ-invariant has Dirichlet density 0. We also discuss the analogous Dirichlet densities related to λ-invariants.     

Autothermal reforming of methane to syngas for Fischer-Tropsch synthesis with promoted palladium and a fast start-up device

In this study, a Pd catalyst was prepared with promoters such as CeO₂, BaO and SrO in a washcoated form on a metallic monolith for autothermal reforming of methane to syngas for the Fischer-Tropsch synthesis. A reactor was installed with an electric heater in the form of the metallic monolith as a start-up device instead of a burner with which stable and fast start-ups (within 4 min) were achieved. Gas hourly space velocity and O₂/CH₄ governed, methane conversion, while H₂O/CH₄ controlled H₂/CO ratio. A methane conversion of approx. 96%, H₂+CO selectivity of approx. 85%, and H₂/CO of approx. 2.6 were obtained under the conditions of gas hourly space velocity (GHSV) at 103000 h^?1, O₂/CH₄=0.7 and H₂O/CH₄=0.35.     

The influence of microcrystalline cellulose grade on shape and shape distributions of pellets produced by extrusion-spheronization.

In this study, five microcrystalline cellulose (MCC) grades were physically characterized and their extrusion-spheronization behaviours were characterized in terms of water requirements and pellet shape profiles. It was found that the MCC grades differed significantly in the physical properties investigated. Physical properties of MCC were found to influence the water requirement for extrusion-spheronization. MCC grades of higher bulk densities, lower porosities and water retentive capacities required less water to produce pellets of equivalent size. These MCC grades were also found to produce pellets of lower sphericity and wider shape distributions. Packing of MCC particles within the agglomerate played a role in determining amount of water retention and pellet rounding during spheronization. However, there was a limit to the influence of packing density on the rate of pellet rounding because poor packing resulted in higher water retentive capacity, which also limited the rate of rounding.     

Surface modified microarray chip and laser induced fluorescence microscopy to detect DNA cleavage

This work describes a quantitative method to detect DNA damage in the presence of Pb and Cd ions using a surface modified microarray chip and a laser induced fluorescence microscopy (LIFM). The detection was carried out by the immobilization of a single-stranded DNA oligomer, tagged with a Cy5 fluorophore on a polydimethylsiloxane (PDMS) microarray chip followed by LIFM. Sulfosuccinimidyl-4-(N-maleimidomethyl) cyclohexane-1-carboxylate (Sulfo-SMCC) was attached as a cross-linker via the formation of covalent amide bonds. Then, the single-stranded DNA oligomer containing Cy5 as a fluorophore and thiol functional groups at both terminals, was bonded to the linker by reaction with sulfhydryl group. As the DNA oligomers were reacted with metal ions of Pb and Cd, the un-cleaved DNA oligomers were quantitatively identified by monitoring Cy5 fluorescence. Cadmium showed a quenching constant of 0.84 in the Stern–Volmer plot, whereas lead gave 0.22, indicating that cadmium ions suppress fluorescence more than lead ions. When optimized, fluorescence reductions of 23% (± 2.1) for Pb and 25% (± 1.4) for Cd were observed in air and decreased to almost < 5.0% in a radical scavenger of 5 mM. The cleaved DNA was also confirmed by MALDI-TOF-MS. In result, this experimental method using a microarray chip with surface modification provided quantitative determination of DNA oligomer damage with reproducible results, significantly reduced sample volumes and analysis times.     

High-Resolution Infrared-Vacuum Ultraviolet Photoion and Pulsed Field Ionization-Photoelectron Methods for Spectroscopic Studies of Neutrals and Cations

We show that by scanning the frequency of a single mode infrared (IR) optical parametric oscillator (IR-OPO) laser to excite the molecular species of interest and fixing the frequency of a vacuum ultraviolet (VUV) laser to photoionize the IR excited species, high-resolution IR spectra of polyatomic neutrals can be obtained with high sensitivity. The fact that this IR-VUV-photoion (IR-VUV-PI) method is based on VUV photoionization probe, and thus, allows the identification of the neutral IR absorber, makes it applicable for IR spectroscopy measurements of isotopemers, radicals, and clusters, which usually exist as impure samples. The highly resolved IR-VUV-PI measurements achieved using the single mode IR-OPO laser have made possible the selection of single rovibrational states of CH3X (X=Br and I), C2H4, and C3H4 for VUV-pulsed field ionization-photoelectron (VUV-PFI-PE) measurements, resulting in rovibrationally resolved photoelectron spectra for these polyatomic molecules. These experiments show that the signal-to-noise ratios of the IR-VUV-PI and IR-VUV-PFI-PE spectra obtained by employing the high-resolution IR-OPO laser are significantly higher than those observed in previous IR-VUV-PI and IR-VUV-PFI-PE studies using a low-resolution IR-OPO laser. Further improvement in sensitivity of IR-VUV-PI and IR-VUV-PFI-PE measurements by using the collinear arrangement of IR-VUV lasers and molecular beam is discussed.     

Lewis-type catalytic activity of direct incorporated Zr- and Sn-SBA-16 catalysts

Metal incorporation into nanoporous materials could give Lewis acid sites through the framework substitution of silica matrix, which are supposed to be in tetrahedral substitution of silica. In this work, Zr- and Sn-incorporated SBA-16 were directly synthesized by the microwave synthesis method. These microwave synthesized Zr- and Sn-incorporated mesoporous silica materials were applied in activation of ketones by Lewis acid sites to catalyze Meerwein-Ponndorf-Verly reduction of cyclohexanone and Baeyer-Villiger oxidation of adamantanone, respectively. Optimum incorporated Zr- and Sn-species gave almost 100% selectivity with high activity onto corresponding alcohol and lactone, respectively.