Über die isoperimetrische Aufgabe imn-dimensionalen Raum konstanter negativer Krümmung

Ohne ZusammenfassungHerrn Oskar Perron zum 60. Geburtstag am 7. Mai 1940 gewidmet     

Crystal Structure of Cesium Dihydrotrifluoride,CsH2F3. Refinement of the Crystal Structures of NMe4HF2 and NMe4H2F3

Single crystals of (NMe₄)(HF₂) were obtained during attempted recrystallization of NMe₄F from fluoroolefin. X‐ray diffraction data show that (NMe₄)(HF₂) crystallizes in the orthorhombic space group Pmmn with unit cell dimensions a = 6.535(2), b = 8.688(3), and c = 5.333(2) Å. The symmetric and virtually linear HF₂ anions exhibit a short F···F distance of 2.256(2) Å. The both crystal structures of (NMe₄)(H₂F₃) (orthorhombic, Pbca, a = 8.509(1), b = 11.273(2), and c = 14.880(2) Å) and CsH₂F₃ (orthorhombic, P2₁2₁2₁, a = 7.345(3), b = 9.126(4), and c = 11.444(4) Å) contain dihydrogentrifluoride anions, H₂F₃^?, which have a bent shape and F···F distances of 2.30‐2.34Å.     

Two-step photoionization of Na2: dependence on alignment

Laser light is used for two-step photoionization of Na₂. the first step depends on the moleculer orientation, the second step doesnot. This yields a method for the analysis of molecular alignment.     

C 1s and Au 4f7/2 referenced XPS binding energy data obtained with different aluminium oxides, -hydroxides and -fluorides

A number of partially catalytically active aluminium compounds characterised by powder XRD have been investigated by XPS and XAES using a new method for static charge referencing [1, 2]. In detail, α-Al₂O₃, γ-Al₂O₃, boehmite γ-AlO(OH), bayerite α-Al(OH)₃, hydrargillite γ-Al(OH)₃, α-AlF₃, β-AlF₃, and AlF_2.3(OH)_0.7· H₂O and a hexa-fluoropropylene oxide (HFPO) modified γ-Al₂O₃ are examined. Well defined and chemically inert 20 nm gold particles are deposited as a nearly statistical distribution on the sample surface avoiding large coagulation effects. This procedure allows a determination of gold referenced XPS and XAES data sets. Binding energies (BE) of Al 2p, Al 2s, O 1s and F 1s photoelectron peaks as well as kinetic energies (KE) of Al KLL and F KLL Auger electron emission peaks are presented in relation to the Au 4f_7/2 BE reference. XPS and XAES data found in literature are, in most cases, C 1s referenced and scatter in a broad range. BE differences Δ between the C 1s charge reference BE and Au 4f_7/2 charge reference BE obtained with our samples are monitored by using the Al 2p orbital. These BE differences Δ clearly suggest that the chemical state of carbon observed in this study is not as uniform as required for reliable static charge referencing. Received: 24 June 1996 / Revised: 12 December 1996 / Accepted: 14 December 1996     

Kinetik und mechanismus der elektrochemischen reduktion von 2,2′-dipyridyl I. Primärprozesse: Vorgelagerte isomerisierung eines komplexes

Polarography and chronopotentiometry are used to study the primary processes of the reduction of 2,2′-bipyridine at mercury electrodes in aqueous solutions (12 < pH < 14). Bipyridine and its first reduction product are strongly adsorbed. The reduction is preceded by a complex equilibrium between bipyridine and the cation of the supporting electrolyte (Li, Na, K, Ba). Due to the great excess of the cations, the equilibrium is shifted completely to the side of the complex, which exists as cis- and trans-isomer. The cis-form is more stable, forming a chelate, the trans-form however is more easily reducible. The kinetic and thermodynamic data of the isomerization are determined. The first reduction product reacts irreversibly giving a substance which can be reoxidized to bipyridine via a radical intermediate.     

Synthese von 2-methylalanin-peptiden,die pH-Abhängiggkeit ihrer 13C-NMR-spektren und eine neue methode zur auswertung über CS-diagramme

The uncommon amino-acid 2-methylalanine (α-aminoisobutyric acid, Aib) was investigated by ¹³C-NMR. The chemical shifts of amino- or carboxy-protected derivatives of Aib and of protected oligopeptides are discussed with respect to neighbouring groups and amino acids. The pH-dependence of the ¹³C-NMR spectra of Aib, Aib-Ala, Ala-Aib, Aib-Ala-Aib and Aib-Ala-Aib-Ala-Aib was studied. Using these examples, a new and advantageous method is demonstrated for the first time for the evalutions of NMR titration curves, which uses so-called chemical shift diagrams (CS diagrams).     

Assignment of 15N-NMR resonances of vitamin B12 analogues by 2D-[15N, 1H] long-range correlation: Fully [15N]-labelled Co-β-cyano-5-hydroxybenzimidazoylcobamide (factor III) and derivatives

The ¹⁵N-NMR spectra of vitamin B₁₂ analogues obtained in fully ¹⁵N-labelled form have been measured by direct and inverse (¹⁵N, ¹H) correlated spectroscopy. All resonances, except those of the NH₂ groups, have been assigned to individual N-atoms. The influences on δ (N) are analyzed and discussed which are caused by changing the α-face ligand from CN to H₂O or CH₃ and by switching the β-face ligand from the base-on to the base-off state. An implication of the correct resonance assignment on biosynthetic pathways is demonstrated.