On the space curves with the same image under the gauss maps

From an irreducible complete immersed curveX in a projective space ? other than a line, one obtains a curveX ^′ in a Graasmann manifoldG of lines in ? that is the image ofX under the Gauss map, which is defined by the embedded tangents ofX. The main result of this article clarifies in case of positive characteristic what curvesX have the sameX′: It is shown thatX is uniquely determined byX′ ifX, or equivalentlyX′, has geometric genus at least two, and that for curvesX ₁ andX ₂ withX ₁ ≠X ₂ in ?, ifX′₁ =X′₂ inG and eitherX ₁ orX ₂ is reflexive, then bothX ₁ andX ₂ are rational or supersingular elliptic; moreover, examples of smoothX ₁ andX ₂ in that case are given.     

Nickel-catalyzed addition of P(O)-H bonds to propargyl alcohols: one-pot generation of phosphinoyl 1,3-butadienes

[reaction: see text] Diphenylphosphine oxide and related P(O)H compounds react with propargyl alcohols at room temperature in the presence of a catalytic amount of Ni(0) complex and Ph(2)P(O)OH to produce high yields of phosphinoyl 1,3-dienes though an efficient in situ dehydration process.     

Distribution of the iron(III)-ethyl acetoacetate complex between aqueous solution and benzene

Summary Studies have been made on the distribution of iron(III)-ethyl acetoacetate complex between aqueous solution and benzene. Effect of pH, concentration of ethyl acetoacetate and shaking conditions were chosen as experimental parameters. Iron(III) can be well extracted from aqueous solution of pH 4.4–9.8 into benzene with constant extractability (97%), if the concentration of ethyl acetoacetate is kept in excess over that of iron(III). The applicability of the complex ( _max: 452 nm) to the spectrophotometric determination of iron is also discussed.

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Verteilung des Eisen(III)-Acetessigester-Komplexes zwischen wä\riger Lösung und Benzol

Zusammenfassung Zur Untersuchung der Verteilung wurden der pH-Wert, die Konzentration an Acetessigester und die Ausschüttelungsbedingungen variiert. Eisen(III) kann bei pH 4.4–9.8 mit Benzol mit einer konstanten Extrahierbarkeit von 97% ausgeschüttelt werden, wenn die Konzentration an Acetessigester größer ist als die an Eisen(III). Die Anwendbarkeit des Komplexes ( _max: 452 nm) zur spektralphotometrischen Eisenbestimmung wird diskutiert.

     

Redox features of β-VOPO4 catalyst using tracer and laser Raman spectroscopy

The oxygen ions of the β-VOPO₄ catalyst were exchanged with an tracer by a reduction–oxidation method and by a catalytic oxidation of but-1-ene using ₂. The bands at 992 and 900 cm⁻¹ were more shifted to lower frequencies than those at 1076 and 1002 cm⁻¹. Applying the correlation between the Raman bands and stretching vibrations in the literature, the exchanged oxygen species were estimated. The results suggest that the P–O–V vacancies corresponding to 992 and 900 cm⁻¹ were responsible for reoxidation and the V=O oxygen corresponding to the 1002 cm⁻¹ band of β-VOPO₄ was not. The (VO)₂P₂O₇ was oxidized to β-VOPO₄ by O₂ above 823 K. The insertion position of oxygen was determined at the bands at 992 and 900 cm⁻¹ of β-VOPO₄ using ₂, which is the same as the exchanged position.