Über das Acetaldol

Ohne ZusammenfassungAm Schlusse meiner hier veröffentlichten Arbeit erfülle ich mit großer Freude die angenehme Pflicht, meinem sehr verehrten Lehrer, Herrn Hofrath Prof. Lieben für die vielfache Anregung und das lebhafte Interesse, welches er meiner Arbeit entgegenbrachte, meinen innigsten Dank auszusprechen.     

Über die Darstellung einero-Aminothiophenol-sulfosäure

Ohne Zusammenfassung Vorliegende Untersuchung war bereits vor l?ngerer Zeit (1921) abgeschlossen und kommt lediglich aus ?u?eren Gründen erst jetzt zur Ver?ffentlichung.     

Nachweis und Bestimmung der Benzo?s?ure in Lebensmitteln

Ohne Zusammenfassung     

Infrared Spectroscopy of Size-Selected Hydrated Carbon Dioxide Radical Anions CO2.−(H2O)n (n=2–61) in the C−O Stretch Region

Understanding the intrinsic properties of the hydrated carbon dioxide radical anions CO₂^.−(H₂O)_n is relevant for electrochemical carbon dioxide functionalization. CO₂^.−(H₂O)_n (n=2–61) is investigated by using infrared action spectroscopy in the 1150–2220 cm⁻¹ region in an ICR (ion cyclotron resonance) cell cooled to T=80 K. The spectra show an absorption band around 1280 cm⁻¹, which is assigned to the symmetric C−O stretching vibration ν_s. It blueshifts with increasing cluster size, reaching the bulk value, within the experimental linewidth, for n=20. The antisymmetric C−O vibration ν_as is strongly coupled with the water bending mode ν₂, causing a broad feature at approximately 1650 cm⁻¹. For larger clusters, an additional broad and weak band appears above 1900 cm⁻¹ similar to bulk water, which is assigned to a combination band of water bending and libration modes. Quantum chemical calculations provide insight into the interaction of CO₂^.− with the hydrogen-bonding network.     

Generalized triangulations and diagonal-free subsets of stack polyominoes

For n?3, let Ω_n be the set of line segments between vertices in a convex n-gon. For j?1, a j-crossing is a set of j distinct and mutually intersecting line segments from Ω_n such that all 2j endpoints are distinct. For k?1, let Δ_n,k be the simplicial complex of subsets of Ω_n not containing any (k+1)-crossing. For example, Δ_n,1 has one maximal set for each triangulation of the n-gon. Dress, Koolen, and Moulton were able to prove that all maximal sets in Δ_n,k have the same number k(2n-2k-1) of line segments. We demonstrate that the number of such maximal sets is counted by a k×k determinant of Catalan numbers. By the work of Desainte-Catherine and Viennot, this determinant is known to count quite a few other objects including fans of non-crossing Dyck paths. We generalize our result to a larger class of simplicial complexes including some of the complexes appearing in the work of Herzog and Trung on determinantal ideals.     

Transient field measurements on light and heavy ions in amorphous iron-boron compounds

Measurements of transient magnetic fields (TF) were performed for the first time in the amorphous compounds of Fe₈₀B₂₀ and Fe₈₅B₁₅ for ²⁴Mg(2⁺), ²⁸Si(2⁺), ⁴⁸Ti(2⁺) and ⁵⁶Fe(2⁺) probe ions employing light and heavy ion beams. The motivation for these experiments was to investigate whether ion beam induced attenuations of TF are substantially weaker in these materials than in crystalline Fe. This expectation was indeed satisfied. The attenuations observed were found to be smaller at least by a factor of 2.     

Quantitative Imaging by Optical Diffraction Tomography

Optical diffraction tomography (ODT) is applied to reconstruct the cross-sectional, complex refractive index distribution of cylindrical objects. Experimental reconstructions showing noticeable image contrast for refractive index variations of about 0.001, and having a spatial resolution of about 2 μm, are obtained for objects with cross-sectional diameters of about 100 μm. The results demonstrate that ODT can be used for quantitative imaging of semitransparent fibers.Presented at the International Commission of Optics Topical Meeting, Kyoto, 1994.