Über eine Metrik im Siegelschen Halbraum

Ohne Zusammenfassung     

Protein surface area and retention in hydrophobic interaction chromatography

Summary Molecular surface areas accessible to a 4 ? diameter spherical probe were calculated from crystallographic data for five proteins: α-chymotrypsinogen A, lysozyme, trypsinogen, ribonuclease A and ribonuclease S. The retention factors of various proteins were measured on stationary phases having polyether- and phenylligates and with aqueous eluents containing (NH₄)₂SO₄, Na₂SO₄ or NaCl at pH 7.0. The logarithmic retention factors were plotted against the salt molality and the hydrophobic interaction parameters evaluated from the limiting slopes of the plots at high salt concentrations for the proteins in the chromatographic systems investigated. The hydrophobic interaction parameters thus obtained were linear in both the molecular surface areas of the proteins and the molal surface tension increments of the salts. The experimental results obtained with these relatively simple proteins of known molecular structure, which were available in high purity, support earlier theoretical predictions for the dependence of the hydrophobic interaction parameter on the surface area of the protein and the surface tension raising effect of the salt.     

An unusual substitution reaction of an aromatic sulfonic group based on 3-carbonyl-4-phenolsulfonic acid

An unusual substitution reaction of an aromatic sulfonic group based on 3-carbonyl-4-phenolsulfonic acid was discovered in a diazo-coupling process.The reaction occurred under mild reaction conditions (pH 8.0-9.0.0-5 C,solvent:water) within a short reaction time(1h).A plausible substitution reaction mechanism by phenol-ketone resonance was proposed.     

Theorie der Poincaréschen Reihen zu den hyperbolischen Fixpunktsystemen der Hilbertschen Modulgruppe

Ohne Zusammenfassung     

Integral equation formulation for buoyancy-driven convection problems

An integral equation formulation for buoyancy-driven convection problems is developed and illustrated. Buoyancy-driven convection in a bounded cylindrical geometry with a free surface is studied for a range of aspect ratios and Nusselt numbers. The critical Rayleigh number, the nature of the cellular motion, and the heat transfer enhancement are computed using linear theory. Green's functions are used to convert the linear problem into linear Fredholm integral equations. Theorems are proved which establish the properties of the eigenvalues and eigenfunctions of the linear integral operator which appears in these equations.     

Synthesis and structure determination of pyrazine-containing macrocyclic polyazomethines

<正>Two pyrazine-contairting macrocyclic polyazomethines 2 and 3 were synthesized by direct[2 + 2]and[3 + 3]condensation reactions between 2,2'-[pyrazine-2,3-diylbis(oxy)]dibenzaldehyde(1) and hydrazine.Both 2 and 3 were characterized by NMR, HRMS,and their structures were determined via X-ray crystal diffraction studies.