Supersmooth Topoi

It is well known that supersmooth functions are more akin to holomorphicfunctions than to smooth functions. The ultimate object of study in complexgeometry is not merely complex manifolds, but complex spaces, in whichholomorphic functions may be nilpotent and consequently invisible from ageometric viewpoint. Supergeometers have long been searching for an appropriatedefinition of supermanifold, for which many classical results in the theory ofsmooth manifolds can naturally be superized. However, they have not proceededfurther in quest of a supersmooth equivalent of complex space. The principalobject of this paper is to introduce the notion of supersmooth superspace intosupergeometry after the classical definition of complex space in complexgeometry, and then to build a good model of synthetic supergeometry after themanner of Dubuc and Taubin (1983), thereby superseding Yetter (1988). Themodel to be constructed is a Grothendieck topos encompassing the category ofG -supermanifolds and G -mappings as a full subcategory.     

Microscopically controlled oxidation of H/Si(1 0 0) by lateral surface electric field studied by emission electron microscopies

The ultrathin oxidation of a H/Si(1 0 0) surface with microfabricated pn-junctions was studied by photoemission electron microscopy (PEEM), mirror electron microscopy (MEM) and microscopic X-ray photoelectron spectroscopy (μ-XPS). The ultrathin oxidation inverts the contrast of the junctions in PEEM images. It is found by analyzing the intensity profiles of images that the potential distribution across the pn-junctions is also inverted by the oxidation. The charging of the oxide by ultraviolet irradiation from a light source of PEEM is attributed as the cause of the inversion of the contrast shown by μ-XPS and MEM.     

Continuous flame oxidation in supercritical water

Abstract

Continuous flames have been observed in Supercritical water oxidation (scWO) of isopropyl alcohol (IPA), using a vertical continuous reactor with sapphire windows and a mixing nozzle. Two types of continuous flame were confirmed: the one was long pale blue colored and the other was red short cone shaped, changing blue to red at around air ratio 2.0. The flame was strongly influenced by IPA concentration, air ratio and design of the mixing nozzle. Results for decomposition of PA are presented for IPA concentrations ranging from 600 up to 28260 ppm as TOC and initial reactor temperatures, were mostly around 490°C, at 25 MPa. Decomposition rate at steady state was over 99.9%. Experimentally measured CO₂ and O₂ concentrations at the flue gas were in good agreement with theoretically calculated values. Even for low air ratio as 1.1, high decomposition rate without CO, NO, NO₂ was achieved.     

Characteristics of a new HPLC column packed with octadecyl-bonded polymer gel

Summary The chromatographic efficiency and stability of a new octadecyl-bonded polymer (ODP) gel, developed for reversed phase liquid chromatography (RPLC) by substitution of stearate ester groups for the hydroxyl groups of vinyl alcohol copolymer particles, were investigated and compared with those of conventional gels. The efficiency of the column packed with the ODP gel was practically unaffected by repeated alternating passages of distilled water and acetonitrile, apparently because the gel volume was affected similarly by both solvents. Like conventional ODS columns, the ODP column demonstrated a close correlation between log k’ (capacity factor) and carbon atom number in alkyl alcohols in accordance with Martin’s rule and H ∼ 4 dp, thus indicating a high column efficiency for these alcohols. The capacity factor of the ODP column for pyridine with acidic eluent was smaller than that of ODS columns, and the pyridine peak was sharp and symmetrical.     

Differential Forms in Synthetic Differential Supergeometry

We present a basic theory of differential formsin synthetic differential supergeometry. Exteriordifferential calculus is developed, and Cartan's threemagic formulas as well as a variant of de Rham's theorem are established.     

Deracemization of 1,2-diol monotosylate derivatives by a combination of enzymatic hydrolysis with the Mitsunobu inversion using polymer-bound triphenylphosphine

The deracemization of 1,2-diol monotosylate derivatives is achieved by the sequential combination of enzymatic hydrolysis and Mitsunobu inversion using a polymer-bound triphenylphosphine. After the lipase-catalysed hydrolysis of the racemic 2-acetoxyhexyl tosylate, the subsequent Mitsunobu reaction without separation causes an inversion of the resulting (R)-alcohol to give the (S)-enantiomer of the acetate as a single product. In particular, the reaction using the polymer-bound triphenylphosphine also proceeds smoothly, and the product is easily separated by filtration from the polymer-bound reagent and its by-products. This deracemization process is applicable to the preparation of several optically active 1,2-diol monotosylates.