A differential technique which is independent of initial conditions for calculating the rate constant of a second-order reaction

It has been shown that experimental errors of the initial conditions of a second-order reaction can cause erroneous results with the rate constant calculated directly from the differential or integrated rate expression. By means of a computer method, a differential technique has been developed so that precise initial reactant conditions are not necessary for calculating a second-order rate constant if continuous measurements of a single reaction variable are available. The technique has been successfully applied to the data of Kistiakowsky and Lacher on the condensation of acrolein and butadiene.     

Messung der von Elektronenlawinen erzeugten Raumladungsfelder mittels einer Sondenlawine

The electrical fields due to the space charge of positive ions in a plane-parallel discharge gap are measured by means of an electron avalanche. The measurements were made in a N₂-CH₄ gas mixture (5% CH₄) at a total pressure of 210 Torr (20 °C) in a 3 cm gap, at a voltage UD (static breakdown potential). The positive ions are produced by electron avalanches, which are released from a broad area by an UV flash at the cathode. The ions so produced drift towards the cathode with a drift velocity v₊. After a timeT the probe avalanche is started by a second UV flash in the symmetry axis of the charge distribution. From its temporal growth, which is given by the relation\(i_s (t) \sim \delta v\_\exp \left( {\int\limits_0^t {\alpha v\_dt} } \right)\), one can evaluate the space charge field E(z) of the positive ions. The measured fields are in good agreement with those predicted by calculations.     

Über Schichten halbeinfacher Lie-Algebren

Ohne Zusammenfassung     

Taylor's theorem for analytic functions of operators

We discuss analytic functions on a Banach algebra into itself. In particular expressions for derivatives are given as well as convergent Taylor expansions.     

Synthesis of substituted pyrrolo[2,3-D]pyrimidine-2,4-diones

A facile route for the synthesis of substituted pyrrolo[2,3-d]pyrimidine-2,4-diones from substituted 2-amino-3-cyano-4-methylpyrroles is reported.     

Das Gesetz vom iterierten Logarithmus mit Anwendungen auf die Zahlentheorie

Ohne Zusammenfassung     

The rotational analysis of the gamma system (A 3Φ - X′ 3Δ) of the spectrum of zirconium oxide

Rotational analyses of the (0,0), (1,1) and (2,2) bands, and a partial analysis of the (3,3) band, of the γ-system (A³Φ - X′³Δ) of the molecules ⁹⁰Zr¹⁶O, ⁹⁴Zr¹⁶O, ⁹⁶Zr¹⁶O have been performed. The measured wave numbers and their assignments are presented up to high quantum numbers. The rotational constants are calculated and an estimate is made of the spin-coupling coefficients. Both states belong closely to Hund's coupling case a.