On a thermodynamic limitation of the water-gas potentiometry using solid electrolyte cells

Possibilities of the water-gas potentiometry using oxide ion-conducting solid electrolytes may be restricted by side reactions in the gas being analyzed. Changes in electrode potentials caused by simultaneous interfering equilibria in the water gas were investigated over a temperature range 1200 to 400°C for different initial gas compositions. Formation reactions of carbon and methane proved to be the side reactions which can be responsible for potential changes. Limits for the use of the analytical method are shown by graphs with deviations from the ideal values.77th report on oxide ion-conducting solid electrolytes and their possibilities of application; 76. see cfi/Ber. DKG (in press)     

A microscopic model for the intrinsic Josephson tunneling in high- superconductors

A quantitative analysis of a microscopic model for the intrinsic Josephson effect in high-temperature superconductors based on interlayer tunneling is presented both within a mean-field BCS evaluation and a numerically essentially exact Quantum Monte-Carlo study. The pairing correlations in the CuO₂-planes are modelled by a 2D Hubbard model with attractive interaction, a model which accounts well for some of the observed features such as the short planar coherence length. The stack of Hubbard planes is arranged on a torus, which is threaded by a magnetic flux. The current perpendicular to the planes is calculated as a function of applied flux (i.e. the phase), and - after careful elimination of finite-size effects due to single-particle tunneling - found to display a sinusoidal field dependence in accordance with interlayer Josephson tunneling. Studies of the temperature dependence of the supercurrent reveal at best a mild elevation of the Josephson transition temperature compared to the planar Kosterlitz-Thouless temperature. These and other results on the dependence of the model parameters are compared with a standard BCS evaluation. Received: 24 February 1998 / Revised: 28 April 1998 / Accepted: 23 June 1998     

On the imaginary simple roots of the Borcherds algebra II9,1

In a recent paper [O. Bärwald, R.W. Gebert, M. Günaydin and H. Nicolai, preprint KCL-MTH-97-22, IASSNS-HEP-97/20, PSU-TH-178, AEI-029, hep-th/9703084, to appear in Commun. Math. Phys.] it was conjectured that the imaginary simple roots of the Borcherds algebra _II9,1 at level 1 are its only ones. We here propose an independent test of this conjecture, establishing its validity for all roots of norm − 8. However, the conjecture fails for roots of norm −10 and beyond, as we show by computing the simple multiplicities down to norm −24, which turn out to be remarkably small in comparison with the corresponding E₁₀ multiplicities. Our derivation is based on a modified denominator formula combining the denominator formulas for E₁₀ and _II9,1, and provides an efficient method for determining the imaginary simple roots. In addition, we compute the E₁₀ multiplicities of all roots up to height 231, including levels up to l = 6 and norms −42.     

Zur Charakterisierung von Boden-Huminstoffen

Summary Humic acids prepared from four horizons of a Podzol in the Segeberger Forest as well as different fractions of humic substances (fulvi acid, humic acid, and humin) of the Ahe horizon were characterized by a combination of analytical methods. As basis served the data from elemental analyses, UV/VIS-, FTIR-, and ¹³C-NMR spectroscopy, gel permeation chromatography using Fractogel TSK, and vapor pressure osmometry. Utilizing pyrolysis in direct coupling with field ionization mass spectrometry, more detailed information about structural features of the humic substances in soils could be obtained. In this manner, the different importance of carbohydrates, aromatic, and lipidic components in the various fractions is observed. The characteristic temperature dependence of the averaged molecular weights of the pyrolyzates indicates a basic structural skeleton, which is quite similar for the humic acids isolated from the different horizons. By degradation of the carbohydrates and increasing incorporation of lipidic components an enhanced biotransformation takes place with increasing depth of the soil profile.

---

---

Gewidmet Herrn Professor Dr. W. Fresenius zum 75. Geburtstag