Messungen der Winkelverteilung der 440 keV-γ-Strahlung aus der Reaktion23Na (p,p′ γ)23Na in den ResonanzenE p =1281 keV undE p =1456 keV

The angular distribution of the 440 keV-γ-radiation following the reaction²³Na(p, p′)²³Na has been measured. The experimental results areW(Θ)=1-(0,147±0,05)P ₂(cosΘ) in the resonanceE _p =1281 keV andW(Θ)=1-(0,099 ± 0,06)P ₂(cosΘ) in the resonanceE _p =1456 keV.     

Elektronenpolarisation im Energiebereich unterhalb 50 eV durch Streuung an freien Hg-Atomen

The angular dependence of spin polarizationP(Θ) of electrons elastically scattered by a beam of mercury atoms is measured in a double scattering experiment for electron energies of 45±1 eV; 23±1 eV; 7±1 eV; and 3,5±1 eV. Maximum degree of polarization obtained isP(100°)=0,39±0,07; electron energy 7±1 eV; electron current 10^?12–10^?11 A.     

Messung der Spinpolarisation von 900 eV-Elektronen nach elastischer Streuung an Schwermetallfolien in Abhängigkeit von der Targettemperatur

900 eV electrons are elastically scattered by solid targets of tungsten, platinum and gold. The angular dependence of the scattered intensity and of spin polarizationP(Θ) is investigated as a function of the target temperature. The influence of hydrogen on the scattering process by a gold target is investigated too.     

Prüfung des Debye-Waller Faktors für Elektroneninterferenzen im Laue-Fall

The influence of thermal vibrations on the electron diffraction intensities of a polycristalline aluminium-foil has been studied. The intensities of the electrons (50 keV) scattered elastically at various foil temperatures (150–800°K) were measured by means of a retarding field apparatus. The experimental results show, that the temperature dependence of the diffraction intensities of all reflections, for which the kinematical theory holds, can be well described by the Debye-Waller factor exp(?2M) within a large range of 2M. From the value of 2M the Debye-temperatureΘ _M for aluminium at different temperatures was determined. The absolute value as well as the temperature dependence ofΘ _M are in agreement with the results obtained from X-ray measurements.     

Über die mathematische Struktur und eine Klasse strenger Lösungen der Jordanschen erweiterten Gravitationstheorie

Theβ-α. angular correlationW(Θ)=1+a cosΘ+cos² Θ of the decay of Li⁸ was measured for average electron energies ofE _β ≈5 MeV, 11 MeV and 12 MeV. The experiment yields an anisotropyA=(0·0036±0·0011)·E _β (MeV)^?1. This result is in good agreement with the results of the other groups. The measurements were performed in a counting chamber separated from the activation room simultaneously for two sealer positionsΘ=90° and 180°. The result is discussed in terms of the CVC-theory, taking into account the second forbidden Fermi-matrixelements (‖M1‖) and (‖E2‖).     

Messung der Zirkularpolarisation der 478 keV-Gammaquanten aus der Reaktion Li6(d,p)Li7 mit 2 MeV-Deuteronen

The circular polarizationP _γ of 478 keVγ quanta from the reaction Li⁶(d, pγ) Li⁷ with 2 MeV deuterons was measured by forward Compton scattering from magnetized iron. The protons were observed at 25° lab angle. The fast neutron background in theγ detector was suppressed by pulse shape discrimination. The resultP _γ=+ 0.022 ± 0.17 with the Basel sign convention confines the ratio of the reduced widthsΘ _± for the capture of the neutron withj=1±1/2 to the regions ?2.36≦Θ ₊/Θ _?≦?0.74 or ?0.06≦Θ ₊/Θ _?≦+0.61.     

Über die Abhängigkeit des Polarisationsgrades vom Streuwinkel bei Mott-Streuung langsamer Elektronen

The angular dependence of polarizationP(Θ) of electrons elastically scattered by a beam of mercury atoms is measured in a double scattering experiment for electron energies of 0,9; 1,2; and 1,5 keV. The results are compared with theory and found to be in good agreement. Maximum degree of polarization measured isP=0,53±0,10 (electron current 10^?12A).     

Heat capacity of the Pb<Subscript>5</Subscript>(Ge<Subscript>1−<Emphasis Type="Italic">x</Emphasis></Subscript>Si<Subscript>x</Subscript>)<Subscript>3</Subscript>O<Subscript>11</Subscript> ferroelectric system

The temperature dependences of the molar heat capacity at constant pressure, C_p, of Pb₅(Ge_1?xSi_x)₃O₁₁ crystals with x=0, 0.39, and 0.45 in the range 5–300 K, as well as of their permittivity, dielectric losses, and the pyroelectric effect, have been measured. Experimental data on the temperature behavior of the heat capacity are presented in the form of a sum of two Debye and one Einstein terms, C_p(T)=0.405C_D1(Θ_D1=160 K, T)+0.53C_D2(Θ_D2=750 K, T)+0.046C_E(Θ_E=47 K, T). Besides a peak in the region of the ferroelectric Curie point T_c=450 K for crystals with x=0, the temperature dependences of the heat capacity did not reveal any other pronounced anomalies.     

Polarisation studies on the Raman spectra of cubic crystals

General expressions have been derived for the intensities of the three classes of Raman lines namely totally symmetricA, doubly degenerateE and triply degenerateF, in the case of cubic crystals under the following conditions. The direction of the incident beam which is polarised with its electric vector inclined at an angleα to the normal to the scattering plane makes an angleΘ with one of the cubic axes of the crystal. The transversely scattered light is analysed by a double image prism with its principal axes inclined at angleβ to the normal to the scattering plane, which is horizontal. For incident unpolarised light and Θ=22 1/2°, and the scattered light being analysed by a double image prism rotated through 45° from the position when its principal axes are vertical and horizontal? forA lines is equal to one, forE lines >1 and forF lines <1. This gives a method of classifying the Raman lines of a cubic crystal in a single setting. The results have been experimentally verified in sodium chlorate.     

Numerische Berechnungen zum Resonanzverhalten der Streuquerschnitte bei atomaren Stößen. I

The semiclassical approximation can be used to calculate the extrema in the energy dependence of the total cross section for collisions between neutral atoms and molecules. For this treatment, the classical deflection functionΘ(β) must be known in the region nearβ ₀, where it passes smoothly through 0° (glory scattering). Numerical values forβ ₀,Θ′ (β ₀) andΘ′' (β ₀), which determine the amplitude of the extrema, are presented for aKihara (12,6) potential for various reduced energiesK (0.01≦K≦100) and potential parameters α (?0,3≦α≦0.5).     

Zur Thermolumineszenz von NaCl/Ag

Angular and energy dependence of the polarizationP of slow electrons scattered elastically by a mercury-atom beam have been measured. The angular resolution being comparatively high (about ±1°), the results could be compared directly with uncorrected theoretical values and high polarizations (up to ¦P¦=0.85±0.05) could be observed. The polarization was measured by a Mott-detector, the electrons scattered by the mercury atoms having been accelerated to 120 keV. The high yield of this detector made up for the rather low intensity of the observed beam caused by the high angular resolution and resulted in low statistical errors. The experimental results, which cover the angular range from 30° to 150° and energies from 180eV to 1700eV are in good agreement with the theoretical values ofHolzwarth andMeister as well as with those ofBunyan andSchonfelder.     

Freie Weglängen für die elektrische und die thermische Leitfähigkeit

The electronic mean free path for the electrical and thermal conductivity of indium has been determined using size effect measurements on thin wires. In the temperature range investigated (0°<T<Θ/20,Θ: Debye-temperature) where the electron-phonon collisions are inelastic. the two mean free paths are different. There exists a simple relation between the mean free paths and the Lorenz-number which can be observed experimentally. The difference in the two mean free paths can also be seen using size effect measurements in strong longitudinal magnetic fields. The magnetic field dependence of the Lorenz-number has been measured.     

Plasmaresonanzabsorption an Kalium

The plasma resonance absorption of thin potassium foils (300 to 800 å) has been measured. The minimum of the transmission of the parallel polarised light has been observed atλ=3270±10 å (?Ω=3.78±0.01 eV). The measured values are compared with those values calculated from theFresnel's formulas, using the dielectric constant of the free electron gas. Good agreement has been found.     

Diekll-Auger-Spektren von Eisen und Vanadium

The relative intensities of theKLL-Auger transitions of Fe (Z=26) und V (Z=23) were measured with an iron free, double focusing β-spectrometer. The results obtained are in good agreement with those measured bySokolowski andNordling forZ=29 andZ=32. This confirms the discrepancies between the nonrelativistically calculated intensities and the experimental values in the region of lowerZ. A summary is given about all known measurements of theKLL-Auger intensities. Also theKLL∶KLX-ratio of Fe was measured to be 1·0∶(0·19±0·01). The energy of the 14·4-keVγ-transition of Fe⁵⁷ was evaluated to be (14389±6) eV.     

Mittlere Energien und Driftgeschwindigkeiten von Elektronen in Stickstoff,Argon und Xenon,ermittelt aus Bildverstärkeraufnahmen von Elektronenlawinen

Local and temporal development of electron avalanches in a pulsed discharge gap (d=3,00 cm) are investigated in N₂, Ar, Xe and mixtures of N₂ and CH₄ by simultaneously applying high gain image intensifier- and photomultiplier techniques. Electron drift velocities are obtained from time-of-flight and way-of-flight measurements in these gases. The mean energy of agitation of the electrons is derived both from electron mobility and avalanche image trace profile (diffusion broadening). The results obtained (for 20°C), being in fair agreement with one another, read N₂: (4·6...5·0) eV forE/p=50...200 V/cm Torr; Ar: (9·0...9·5) eV forE/p=24... 45 V/cm Torr; Xe: (4·8...5·0) eV forE/p= 40... 90 V/cm Torr; CH₄(10% N₂): 6·3 eV forE/p= 89 V/cm Torr. The mean energy of agitation does not change very much withE/p in the ranges investigated. Some results concerning the radiation properties of these gases are included such as lifetime of the excited states, quenching pressure etc.     

Elastische und unelastische Streuung von Elektronen an Gasen

The theoretical differential cross section for the elastic scattering and for the excitation of optical transitions in helium by electron impact has been refined in Born approximation by use of the two parameter Eckart eigenfunction for the ground state and for the excited states. The angular distributions of 25 kev electrons scattered elastically and inelastically by helium were measured in the angular range 2·3·10^?4≦?≦4·10^?2. The intensity distribution of the elastically scattered electrons is in accordance with the theoretical curve for?>7·10^?3 and is disturbed at smaller angles by the primary beam. Normalization of the experimental values to the theoretical elastic differential cross section leads to agreement between the experimental differential cross section for the excitation of the 2¹ P and 3¹ P state and the scattering formulae given in this paper. There are small systematic deviations (<20%) for the 2¹ P differential cross section in the angular range 3·10^?3<?<1·10^?2 only. The oscillator strength of these two transitions has been determined from the scattering measurements:f ₂₁=0·312±0·04 andf ₃₁=0·0898±0·006.     

Censored Glauber Dynamics for the Mean Field Ising Model

We study Glauber dynamics for the Ising model on the complete graph on n vertices, known as the Curie-Weiss Model. It is well known that at high temperature (β<1) the mixing time is Θ(nlog?n), whereas at low temperature (β>1) it is exp?(Θ(n)). Recently, Levin, Luczak and Peres considered a censored version of this dynamics, which is restricted to non-negative magnetization. They proved that for fixed β>1, the mixing-time of this model is Θ(nlog?n), analogous to the high-temperature regime of the original dynamics. Furthermore, they showed cutoff for the original dynamics for fixed β<1. The question whether the censored dynamics also exhibits cutoff remained unsettled.In a companion paper, we extended the results of Levin et al. into a complete characterization of the mixing-time for the Curie-Weiss model. Namely, we found a scaling window of order \(1/\sqrt{n}\) around the critical temperature β _c =1, beyond which there is cutoff at high temperature. However, determining the behavior of the censored dynamics outside this critical window seemed significantly more challenging.In this work we answer the above question in the affirmative, and establish the cutoff point and its window for the censored dynamics beyond the critical window, thus completing its analogy to the original dynamics at high temperature. Namely, if β=1+δ for some δ>0 with δ ² n→∞, then the mixing-time has order (n/δ)log?(δ ² n). The cutoff constant is (1/2+[2(ζ² β/δ?1)]^?1), where ζ is the unique positive root of g(x)=tanh?(β x)?x, and the cutoff window has order n/δ.     

Messung der Asymmetrie der Bremsstrahlung transversal polarisierter Elektronen

The asymmetry of Bremsstrahlung emitted from transversely polarized electrons is measured for monoenergetic electrons of 300 keV at an emission angleΘ=22±20°. The experiment yields an asymmetryS=?(0.133±0.020)·αZ for a quantum energy of 60 to 240 keV. Exact calculations for the electron-energy used do not exist. The result is not in agreement with calculations in Born approximation. The apparatus is described, the results with all corrections are discussed.     

M-Zentrenbildung in röntgenbestrahltem KCl

The equilibrium betweenF- andM-center concentration in KCl after X-irradiation at temperatures between 77 °K and 298 °K has been studied. At low temperatures (<200 °K) onlyF-centers which are formed statistically as nearest neighbours give aM-center. At higher temperaturesF-centers within a certain sphere of interaction with a radiusr formM-centers. The temperature dependance of this radiusr has been evaluated. The equilibrium constantK depends on the temperature in the form K=K₀exp(-Q/kT). The activation energy was determined to be Q=(0.5±0.1) eV.     

Specific features of anion transfer in HoF<Subscript>3</Subscript> crystals at high temperatures

The anionic conductivity of HoF₃ single crystals with a β-YF₃ structure (orthorhombic crystal system, space group Pnma) is investigated over a wide range of temperatures (323–1073 K). The unit cell parameters of HoF₃ crystals are as follows: a=0.6384±0.0009 nm, b=0.6844±0.0009 nm, and c=0.4356±0.0005 nm. It is revealed that the conductivity anisotropy of the HoF₃ crystals is insignificant over the entire temperature range covered. The crossover from one mechanism of ion transfer to another mechanism is observed near the critical temperature T_c≈620 K. The activation enthalpy of electrical conduction is found to be ΔH₁=0.744 eV at T<T_c and ΔH₂=0.43 eV at T>T_c. The fluorine vacancies are the most probable charge carriers in HoF₃ crystals. The fluorine ionic conductivities at temperatures of 323, 500, and 1073 K are equal to 5×10^?10, 5×10^?6, and 2×10^?3 S cm^?1, respectively.