Neue Erzeugungen der Minimalflächen von G. Thomsen

Ohne ZusammenfassungHerrn Josef L. Krames zum 75. Geburtstag am 7. Oktober 1972 gewidmet     

Die Spannungsfunktionen des dreidimensionalen Kontinuums; statische Deutung und Randwerte

Ohne Zusammenfassung     

Eine optische Methode zur Bestimmung von Perchlorat

Ohne Zusammenfassung     

Reaktionsmechanismen des Oxoniumions von neuen Gesichtspunkten der Säure—Basen-Katalyse

Hydroxide ion is shown to react with α-glucose in two ways. Firstly, it catalyses mutarotation of α-glucose in conjunction with the hydrate sheath, and secondly, it reacts extremely rapidly as partially dehydrated hydroxide ion with formation of α-glucosate ion without mutarotation of α-glucose. This knowledge, combined with the author's determination of the hydrogen bond entropy of the hydrated oxonium ion leads to new views on the mechanism of very rapid oxonium ion reactions. The hydrogen bond entropy of the hydrated oxonium ion ΔS was determined by the author from the coefficients of the water catalysisk _W and oxonium ion catalysiskH₃O⁺ of the mutarotation of α-glucose $$\Delta S = R ln {{k_w } \mathord{\left/ {\vphantom {{k_w } {k_{H_3 O^ + } }}} \right. \kern-\nulldelimiterspace} {k_{H_3 O^ + } }},$$ As the proton of the hydrated oxonium ion is attracted by both oxygen atoms with the same intensity, (ΔS)/2 is the hydrogen bond entropy of the single hydrated proton, which is to be considered as the activated oxonium ion of the reactions between the oxonium ion and the anions. While only the activation of the oxonium ion is necessary for the reaction of the oxonium ion with hydroxide ion, the reaction of the oxonium ion with acetate ion needs furthermore the activation of this anion, which consists of rupture of the internal hydrogen bond of this anion. The enthalpy of activation of the acetate ion is determined by the author from the acetate ion catalysis and the water catalysis of the α-glucose mutarotation. The activation enthalpy of the reaction of the oxonium ion with acetate is therefore the sum of the activation enthalpies of the oxonium ion and of the anion. Furthermore it is shown that the high migration velocity of the hydrogen ion in aqueous solution is due to the proton exchange between the water molecules, initiated by the single hydrated proton.     

A measurement of σtot(e+e− → hadrons) for cm energies between 12.0 and 36.7 GeV

The ration R = σ(e⁺e^? → hadrons)σ_μμ was measured between 12.0 and 36.7 GeV c.m. energy W with a precision of typically ± 5.2%. R is found to be constant with an average R = 4.01 ± 0.03 (stat) ± (syst.) for W ? 14 GeV. Quarks are found to be point-like, the mass parameter describing a possible quark form-factor being larger than 186 GeV. Fits including QCD corrections and a weak neutral-current contribution are presented.     

Book review

Acta Applicandae Mathematicae -