Hilbert's “Grundlagen der Geometrie”

A careful analysis is made, in the light of subsequent developments, of the background, content, aim, and influence of the ten German editions of Hilbert's “Grundlagen der Geometrie”. Especial attention is given to the sources of Hilbert's ideas, the critical reactions of contemporary geometers to the first edition, the latter's connections with Hilbert's famous problems, and its role as a model for later axiomatic approaches tho the foundations of mathematics and mathematical physics.     

Fluorescence spectrum of chlorine dioxide induced by the 4765 Å argon-ion laser line

The fluorescence spectrum induced in ClO₂ by excitation with the 4765 Å argon-ion laser line has been studied under moderate resolution with the laser in single mode operation and under high resolution with the laser in multimode operation. The most intense features of the fluorescence have been assigned to excitation by the 23_{2, 22} ← 24_{2, 23} transition of the (0, 0, 0) ← (0, 0, 0) band of ³⁷ClO₂. Another set of features has been assigned to excitation by the 38_{0, 38} ← 37_{0, 37} transition of the (0, 0, 0) ← (0, 0, 0) band of ³⁷ClO₂.The vibrational structure and the ν₁ vibrational dependence of the rotational structure in the fluorescence have been least squares fitted giving a new set of vibrational constants and vibration-rotation interaction constants, $\text{α}{}_1{}^{\mathrm{B}}$ and $\text{α}{}_1{}^{\mathrm{C}}$.     

Laser induced microexplosions of a photosensitive polymer

Laser ablation of a photosensitive triazene polymer was studied in a micro region by means of a nanosecond imaging technique. The propagation of a blast wave, 100 ns after laser irradiation, sufficiently matched a planar blast wave model including the decomposed source mass which indicates characteristics of a microexplosion. The measured velocities of the fronts indicates two blast waves: an initially fast unsupported wave around the peak of the laser pulse, and a relatively slow supported wave involving the main component of the decomposition.     

Absch?tzung der Reaktivit?tsverh?ltnisse von mehrkomponentigen Conolymerisationen

Ohne Zusammenfassung     

The canonical exchange energy modulation parameters in molecular MTXα calculations. Some first row homonuclear diatomic molecules

The canonical MTXα scheme which uses the parameters α_I = $\text{2}\text{3}$ for all atoms, and α_II = 1 for all molecules is developed and applied to the calculation of the potential energy curves and ionization potentials for the ground electronic states of B₂, C₂, N₂, O₂ and F₂.