Relaxation phenomena and nuclear magnetic resonance of116In(T 1/2=14s) produced by capture of polarized neutrons in the indium III–V compounds

Polarized¹¹⁶In nuclei have been produced by capture of polarized thermal neutrons in several In compounds. At temperaturesT below 77 °K and magnetic field strengthsH ₀ of several kOe, asymmetries of a few percent of the β^? decay of the¹¹⁶In ground state could be observed in polycrystalline InP, InAs and InSb, thus indicating the nuclear polarization. Nuclear magnetic resonance signals have been measured with the result for the magnetic moment μ _i (¹¹⁶In)=2.7723 (10) nm (uncorrected). β^? decay asymmetry and spin lattice relaxation timeT ₁ have been studied as a function ofH ₀ andT. The effect ofH ₀ is to decouple the hyperfine interaction caused by the capture-γ recoil process. However,H ₀ has no influence uponT ₁, which demonstrates the absence of nuclear relaxation due to paramagnetic impurities.T ₁ is determined by quadrupolar relaxation. A quadrupole momentQ(¹¹⁶In)=0.09 (2) b was calculated by comparison of the¹¹⁶In relaxation rates with those of the stable¹¹⁵In isotope in the same compounds. Above 30 °K the temperature dependence of 1/T ₁ agrees with a recent theoretical investigation. Below 30 °K the relaxation rate shows an anomalous behaviour, which can be explained by resonance modes due to recoil lattice defects.     

On Fatou's Lemma in several dimensions

Probability Theory and Related Fields -     

Diffraction of light by supersonic waves: The solution of the raman-nath equations

The partial differential equation associated with the system of difference-differential equations of Raman-Nath for the amplitudes of the diffracted light-waves is solved exactly by the method of the separation of the variables. The solution is presented as a double infinite series containing the Fourier coefficients of the even periodic Mathieu functions with periodπ and the corresponding eigenvalues. Considering this solution as a Laurent series in one of the variables, the Laurent coefficients immediately give the exact expressions for the amplitudes of the diffracted light-waves, from which the formulae for the intensities are calculated. The connection between the Raman-Nath method and Brillouin’s Mathieu function method has thus been achieved.     

Enantioselective segregation in achiral nematic liquid crystals

The elusive biaxial nematic liquid crystal phase was recently discovered in a family of substituted oxadiazoles. Our investigations of these materials show that the achiral biaxial nematic phase can segregate into chiral domains of opposite handedness, thereby demonstrating that the liquid-like nematic phase exhibits the properties of a conglomerate.     

Linienform von Doppelresonanzsignalen bei zeitlich aufgelöster Beobachtung der zerfallenden Atomzustände

The influence on the line width and the line profile of optical double resonance signals due to a selective detection of quanta of resonance light emitted in a defined time interval after the moment of excitation has been studied. A narrowing of radio frequency signals in the5s 5p ³P₁ state of Cd by a factor of 1.4 has been observed. The resonance curves deviate considerably from the lorentzian line shape. Comparison has been made between the measured line profile and a theory developed for this experiment.     

Zur Mathematik der Fahrstuhlverteilungen

Zusammenfassung Für Aufzugssysteme werden die in Frage kommenden Besetzungsverteilungen aufgestellt und daraus Formeln für die mittlere Steighöhe und die durchschnittliche Anzahl der Halte abgeleitet.Eine numerische Auswertung der Ergebnisse wird im Anhang gegeben.

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Summary The probability distributions of occupancy problems are given for lift-systems and therefrom formulas are derived for the mean of height of ascending and the average number of stops.A numerical exploitation of the results may be found in the appendix.

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Résumé Les distributions de probabilité concernant le problème de répartition d'objets dans un ensemble de cases sont détuites pour des systémes d'ascenseur. Des équations pour la moyenne ascension et pour le moyen nombre des arrëts sont dérivées.Un appendice contient une exploitation numérique.