On the geometry of Siegel-Jacobi domains

We study the holomorphic unitary representations of the Jacobi group based on Siegel-Jacobi domains. Explicit polynomial orthonormal bases of the Fock spaces based on the Siegel-Jacobi disk are obtained. The scalar holomorphic discrete series of the Jacobi group for the Siegel-Jacobi disk is constructed and polynomial orthonormal bases of the representation spaces are given.Comment: 15 pages, Latex, AMS fonts, paper presented at the the International Conference "Differential Geometry and Dynamical Systems", August 25-28, 2010, University Politehnica of Bucharest, Romani

Development and practical application of unhairing method without using sulfide

Content: Leather manufacturing industry uses a lot of water and chemicals, and it discharges large amounts of wastewater. The processing a large amounts of wastewater requires a huge cost. Therefore, reduction of amount of a pollution load in wastewater is a theme in many countries around the world. During the leather process, a lot of pollutants occur in the unhairing process. Some estimate that the amount of pollution generated in the unhairing process accounts for 70% of the entire leather manufacturing process. In this unhairing process, usually a large amount of sulfide is used. Sulfide is known to generate hydrogen sulfide and cause damage to the drain pipe. In Tokyo, strict criteria are set for draining sulfide to sewers. Therefore, reducing the amount of sulfide used is an important task for tanner. In addition, since sulfide has no degreasing effect, a large amount of surfactant is required in the unhairing process. However, to reduce the cost and the load of the wastewater, it is also required to reduce the amount of the surfactant used. Furthermore, in recent years, the types of usable surfactants have also been limited. Therefore, development of a method of effectively removing hair loss and degreasing without using a sulfide is urgent for the leather manufacturing industry. On the other hand, pelts are widely used as raw materials for foods such as gelatin and collagen casing, cosmetics, and pharmaceuticals. However, sulfides are not originally recognized as food additives. Therefore, some companies are concerned about using pelts as a raw material for food using sulfide in the unhairing process. Also from this point of view, it is necessary to develop an unhairing method without using sulfides. The method using sodium hydroxide has been studied for a long time. However, this method is hard in handling, and is difficult to set conditions such as concentration and temperature. That is, while successful at the experimental level, it has not been put to practical use. Therefore, we studied a method to solve the above problem using sodium hydroxide. The method developed this time can reduce the pollutant in waste water, and the amount of water used in the unhairing process to 1/10 or less of the conventional one. Moreover, since it is not influenced by water temperature, it made it possible to stably remove hair irrespective of the season. The finished leather kept sufficient strength. In addition, sodium hydroxide reacts with fat in the skin and turns it into soap, so it shows the degreasing effect and contributes to reduce the dosage of degreasing agent. Take-Away: development of unhairing method without using sulfide contributes to reduce the dosage of degreasing agent reduce the pollutant in waste wate

Investigations of the Effect of the Non-Manganese Metal in Heterometallic-Oxido Cluster Models of the Oxygen Evolving Complex of Photosystem II: Lanthanides as Substitutes for Calcium

We report the syntheses and electrochemical properties of nine new clusters ([LLnMn^(IV)_(3)O_4(OAc)_3(DMF)_n]^+ (Ln = La^3+, Ce^3+, Nd^3+, Eu^3+, Gd^3+, Tb^3+, Dy^3+, Yb^3+, and Lu^3+, n = 2 or 3)) supported by a ligand (L^3–) based on a 1,3,5-triarylbenzene motif appended with alkoxide and pyridine donors. All complexes were obtained by metal substitution of Ca2+ with lanthanides upon treatment of previously reported LMn_3CaO_4(OAc)_3(THF) with Ln(OTf)_3. Structural characterization confirmed that the clusters contain the [LnMn_3O_4] cubane motif. The effect of the redox-inactive centers on the electronic properties of the Mn_3O_4 cores was investigated by cyclic voltammetry. A linear correlation between the redox potential of the cluster and the ionic radii or pKa of the lanthanide metal ion was observed. Chemical reduction of the LMn^(IV)_3GdO_4(OAc)_3(DMF)2 cluster with decamethylferrocene, resulted in the formation of LGdMn^(IV)_2Mn^(III)O_4(OAc)_3(DMF)_2, a rare example of mixed-valence [MMn_3O_4] cubane. The lanthanide-coordinated ligands can be substituted with other donors, including water, the biological substrate

An electro-chemo-mechanical analysis of solid oxide fuel cell considering evolution of microstructure in porous electrode using phase-field method

For the numerical simulation of oxygen potential distributions in Solid Oxide Fuel Cell (SOFC), the time-evolution of the anode microstructure is reflected in the macroscopic electrical conductivities and the amount of triple-phase boundaries. Once the oxygen potential distributions are determined, the time-variation of the reduction-induced strains due to nonstoichiometry of oxide materials is calculated along with the thermal strains. These strains cause the macroscopic stresses in mutually constrained components. Thus, the capability of the proposed method is demonstrated in characterizing the aging degradation of the macroscopic electro-chemo-mechanical behavior of SOFC that is caused by the Nisintering in cermet microstructures during long-period control