Lax-type isospectral deformations on nilmanifolds

A one-parameter familyg(t) (0 t T) of Riemannian metric on a compact manifold is called an isospectral deformation of a metricg(0) if the Laplace-Beltrami operators associated to the metricsg(t) have the same spectra. Examples of non-trivial isospectral deformations were constructed on solvmanifolds for the first time by C.S. Gordon and E. Wilson on the basis of Kirillov theory. This paper considers the isospectral deformations on nilmanifolds from the dynamical point of view. First, we see for certain isospectral deformations that the associated Hamiltonian systems of geodesic flows are decomposed into a collection of reduced systems which are left invariant as Hamiltonian systems under the deformations. This fact is formulated by the classical Lax equations. Next, by using a quantization procedure, we attempt to obtain Lax equations for the reduced Laplacians from the classical Lax equations. As a result, we show that certain isospectral deformations by Gordon-Wilson are represented by the Lax equations.     

Self-assembly of active IrO2 colloid catalyst on an ITO electrode for efficient electrochemical water oxidation

Active catalysts for water oxidation to evolve O(2) are required for the construction of artificial photosynthetic devices that are expected to be promising energy-providing systems in the future. The citrate-stabilized IrO(2) colloid was self-assembled onto an indium tin oxide (ITO) electrode to form a monolayer of the colloidal IrO(2) particles when it was dipped in the colloid solution. The self-assembly could be achieved by a chemical interaction between carboxylate groups on the citrate stabilizer and hydroxyl groups on the ITO surface to form ester bonds. Efficient electrocatalysis for water oxidation was demonstrated using the electrode modified by the self-assembled IrO(2) colloid to yield the highest turnover frequency ((2.3-2.5) x 10(4) h(-1)) of IrO(2) in the hitherto-reported catalysts for electrochemical water oxidation.     

Organic-inorganic hybrids from renewable plant oils and clay

This study deals with the preparation and properties of a new class of organic-inorganic hybrids from renewable resources. The hybrids were synthesized by an acid-catalyzed curing of epoxidized triglycerides in the presence of an organophilic montmorillonite (a modified clay). The mechanical properties were improved by the incorporation of clay in the oil-based polymer matrix. The reinforcement effect due to the addition of clay was confirmed by dynamic viscoelasticity analysis. The hybrids showed relatively high thermal stability. The co-curing of epoxidized soybean and linseed oils in the presence of clay produced hybrids with controlled mechanical and coating properties. The barrier property of the hybrid towards water vapor was superior to that of the oil polymer. The development of the present hybrids consisting of inexpensive renewable resources, triglyceride and clay is expected to contribute to global sustainability.     

Resonance energy transfer from dibucaine to acriflavine in polystyrene latex dispersions

Resonance energy transfer from dibucaine (DC) to acriflavine (AF) has been investigated both in homogeneous aqueous solutions and in polystyrene latex dispersions. The energy transfer reaction is observed by monitoring fluorescence quenching of DC as well as sensitized emission of AF. It is found that the energy transfer from DC to AF is remarkably enhanced on going from the aqueous homogeneous solution to the latex dispersion. This is mainly attributed to the fact that both the donor and acceptor are effectively adsorbed onto the latex particles, as evidenced by the measurement of adsorption isotherms. From the adsorption experiments, it is also elucidated that electrostatic interaction is significant at low DC concentration, while hydrophobic interaction dominates at the higher concentration especially at higher pH.     

A reappraisal,based on (31)P NMR,of the direct coordination of a metal ion with the phosphoryl oxygen at the cleavage site of a hammerhead ribozyme

It has been generally accepted, on the basis of kinetic studies with phosphorothioate-containing substrates and analyses by NMR spectroscopy, that a divalent metal ion interacts directly with the pro-Rp oxygen at the cleavage site in reactions catalyzed by hammerhead ribozymes. However, results of our recent kinetic studies (Zhou, D.-M.; Kumar, P. K. R.; Zhang. L. H.; Taira, K. J. Am. Chem. Soc. 1996, 118, 8969-8970. Yoshinari, K.; Taira, K. Nucleic Acids Res. 2000, 28, 1730-1742) demonstrated that a Cd(2+) ion does not interact with the sulfur atom at the Rp position of the scissile phosphate (P1.1) in the ground state or in the transition state. Therefore, in the present study, we attempted to determine by (31)P NMR spectroscopy whether a Cd(2+) ion binds to the P1.1 phosphorothioate at the cleavage site in solution. In the case of the R32-S11S (ribozyme-substrate) complex, neither the Rp- nor the Sp-phosphorothioate signal from the S11S substrate at the cleavage site was perturbed (the change was less than 0.1 ppm) upon the addition of Cd(2+) ions (19 equiv) at pH 5.9 and 8.5. By contrast, we detected the significant perturbation of the P9 phosphorothioate signal from another known metal-binding site (the A9/G10.1 metal-binding motif). The Rp-phosphorothioate signal from A9/G10.1 was shifted by about 10 ppm in the higher field direction upon the addition of Cd(2+) ions. These observations support the results of our kinetic analysis and indicate that a Cd(2+) ion interacts with the sulfur atom of the phosphorothioate at the A9/G10.1 site (P9) but that a Cd(2+) ion does not interact with the sulfur atom at the Rp- or at the Sp-position of the scissile phosphate (P1.1) in the ground state.     

Flow injection extraction chromatography with ICP-MS for thorium and uranium determination in human body fluids

A method based on flow injection extraction chromatography coupled to on-line ICP-MS (FI-EXC-ICPMS) has been developed and validated for simultaneous thorium and uranium determination in human body fluids. By using extraction chromatography, the limits of detection achieved for ²³²Th, ²³⁵U and ²³⁸U were 0.06 ng^.l^-1, 0.0014 ng^.l^-1 and 0.05 ng^.l^-1, respectively. The accuracy of the FI-EXC-ICPMS method was 102.4% and 101.5% with overall precision (RSD_max at 95% CI) of 5.3% and 4.9% for ²³²Th and ²³⁸U, respectively. The ²³⁵U/²³⁸U atom ratio is measured with 1.8% precision. The technique was employed for simultaneous thorium and uranium analyses in human urine and blood samples after microwave digestion. This revised version was published online in July 2006 with corrections to the Cover Date.     

Kinetics of crosslinking reactions. 1. Reaction rate of intramolecular crosslinkings by using a soluble microgel

Soluble microgels with several pendant vinyl groups were synthesized by radical copolymerization of methyl methacrylate (MMA) with p-divinyl benzene (p-DVB). The polymerization conditions used for intramolecular crosslinking of microgels were chosen from gel permeation chromatograph (GPC) measurements of the reaction products. The rate constant of intramolecular crosslinking (k_pⁱ) was estimated from the changes in the concentration of pendant vinyl groups of microgel by using photometrical measurements at 30°C assuming a unimolecular termination mechanism of polymer radicals. As a result, k_pⁱ showed larger values than k_p of styrene and depended strongly on the internal structure of the microgels.     

Potential Involvement of Both Type I and Type II Mechanisms in M13 Virus Inactivation by Methylene Blue Photosensitization

We have investigated the mechanism of virus photoinactivation with methylene blue (MB) by conducting deuterium oxide (D₂O), azide ion (N₃^-) and oxygen-dependent, studies. Inactivation of M13 bacteriophage and singlet oxygen (¹O₂) generation by MB photosensitization were irradiation dose dependent. Inactivation of M13 was enhanced by D₂O and inhibited by N₃^-, suggesting that ¹O₂ participates in M13 inactivation by MB photosensitization. However, N₃^- did not inhibit M13 inactivation completely. On the other hand, deoxygenating the reaction solution still caused 52-67% of M13 inactivation observed in the presence of oxygen. These results suggest that ¹0₂-mediated (Type II) and sensitizer-mediated (Type I) reactions may both play roles in M13 inactivation by MB photosensitization.     

Anomalously high237Np in intertidal sediments from the Ribble Estuary in the Irish Sea

Depth profiles and inventories of²³⁷Np in sediment cores from the Ribble Estuary in the Irish Sea have been studied along with those of Pu isotopes,²⁴¹Am and¹³⁷Cs, to allow a more detailed look of anomalously high²³⁷Np content observed in this estuary previously. The comprehensive data obtained showed that the depth profiles of both²³⁷Np contents and²³⁷Np/^239,240Pu activity ratios were clearly different from those of^239,240Pu,²⁴¹Am, and¹³⁷Cs and their activity ratios. As much as 80–90% of²³⁷Np inventories (0.32–1.06 kBq/m²), found in three cores, were estimated to be derived from a source other than Sellafield, on the basis of comparison of the²³⁷Np/^239,240Pu inventory ratio (0.65–1.74%) found in the Ribble Estuary cores with those (0.10–0.16%) in the Ravenglass Estuary cores.