Latteninterpolation bei einer Funktion von zwei Veränderlichen

Summary In each lattice point , of a rectangular net a numerical valueu is given. A bicubical and twice continuously differentiable function is constructed interpolating the valuesu . The method is known as «spline interpolation».     

Über die durch Bewegung eines Streifens erzeugbaren Flächen

Ohne ZusammenfassungHerrnJosef L. Krames zum 70. Geburtstag, am 7. Oktober 1967 gewidmet     

Strahlungsenergietransport mit Absorption in zylindrischen Bögen

For temperatures above 12,000 °K the contribution of non-transparent radiation becomes very important for the energy transport in argon and nitrogen arc plasmas. Formulas for the radiation flux and the difference between emission and absorption of radiation per unit volume and time are given generally and furthermore for arcs of cylindrical symmetry. For argon arcs at normal pressure with axial temperatures between 10,000 and 16,000 °K the radiative behaviour is investigated and the share of transparent and non-transparent radiation on the total energy flux is computed. The influence of different assumptions made on the amount of emission and absorption on theE(I)-characteristic and the radial temperature distributions is shown.     

Einfluß interstitiellen Wasserstoffs auf Magnetismus und Gitterkonstante ferromagnetischer NiCr-Legierungen

Measurements of magnetization, X-ray studies and volumetric investigations show that ferromagnetic nickel-chrome alloys (2 to 7% Cr) absorb hydrogen in high concentrations (β-phase). Caused by the interstitial hydrogen atoms NiCr looses its ferromagnetism, combined with reversibly enlarged lattice constants of some percent (decreasing with increasing Cr-content). The variation of lattice expansionΔ a with Cr-content is in some way similar to the recently found proportionality ofΔ a with the mean magnetic moment in the case of NiCu and NiCu-hydrogen-alloys but deviating in a characteristic manner. — X-ray studies also showed an additional increase ofΔ a by supersaturation of the β-phase, and the occurrance of a second phase with very low values ofΔ a.     

An enantiomerically pure 1,5,7-trimethyl-3-azabicyclo[3.3.1]nonan- 2-one as 1H NMR shift reagent for the ee determination of chiral lactams, quinolones, and oxazolidinones

The chiral lactam 1 (or its enantiomer ent-1) was shown to be an effective (1)H NMR shift reagent for the ee determination of chiral lactams, quinolones, and oxazolidinones. It was successfully employed in many cases in which a detection of enantiomers by chromatographic methods failed. The method was extended to a broader range of simple substrates bearing a lactam moiety to evaluate its scope. The NH signals of the substrate enantiomers showed the strongest separation and were used for (1)H NMR integration. In most cases, compound 1 (1.5 equiv; 0.06 M solution) induced a baseline separation of the NH signals and it can consequently be regarded as a generally applicable shift reagent for chiral products with a lactam moiety.