Thermodynamics of adsorption equilibrium

Russian Chemical Bulletin -     

Bestimmung kleiner Sauerstoffgehalte in Selen

Zusammenfassung Es wird eine Analysenmethode zur Bestimmung von Sauerstoff in Selen beschrieben. Die Abtrennung des Sauerstoffs geschieht über seine Umsetzung mit Schwefel; die Endanzeige des gebildeten Schwefeldioxids erfolgt colorimetrisch mit Parafuchsinchlorid. Mit dem Verfahren werden Gehalte bis 0,5 ppm (w)¹ erfaßt. Die relative Standardabweichung bei Analysen von SeO₂- und TeO₂-dotiertem Selen beträgt ±8%. Die Analysen von 5 Selenproben als Perlen ergaben Gehalte zwischen 4 und 11 ppm (w) Sauerstoff; Selengleichrichterschichten enthielten 1 ppm (w) Sauerstoff.

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Determination of small oxygen contents in selenium

An analysis method for the determination of oxygen in selenium is described. The separation of oxygen is accomplished through its reaction with sulphur. The final measurement of the sulphur dioxide formed is made colorimetrically with parafuchsine chloride. With this method contents as low as 0.5 ppm (w) can be determined. The relative standard deviation for analyses of selenium doped with SeO₂ and TeO₂ is ±8%. The analyses of 5 selenium samples having the form of beads resulted in oxygen contents between 4 and 11 ppm (w), whilst selenium rectifier layers contained 1 ppm (w) of oxygen.

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Die Verfasser bedanken sieh für das fördernde Interesse von Herrn Prof. Dr. W. Gebauhr und Herrn Dr. A. Spang. Zur Arbeit trugen wesentlich die anregenden Diskussionen mit Herrn J. Martin bei.     

Non-Commutative Batalin-Vilkovisky Algebras,Homotopy Lie Algebras and the Courant Bracket

We consider two different constructions of higher brackets. First, based on a Grassmann-odd, nilpotent Δ operator, we define a non-commutative generalization of the higher Koszul brackets, which are used in a generalized Batalin-Vilkovisky algebra, and we show that they form a homotopy Lie algebra. Secondly, we investigate higher, so-called derived brackets built from symmetrized, nested Lie brackets with a fixed nilpotent Lie algebra element Q. We find the most general Jacobi-like identity that such a hierarchy satisfies. The numerical coefficients in front of each term in these generalized Jacobi identities are related to the Bernoulli numbers. We suggest that the definition of a homotopy Lie algebra should be enlarged to accommodate this important case. Finally, we consider the Courant bracket as an example of a derived bracket. We extend it to the “big bracket” of exterior forms and multi-vectors, and give closed formulas for the higher Courant brackets.     

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