Measurement of the isotope composition of hydrogen in carbon materials using elastically scattered electron peak spectroscopy

The quantitative composition of hydrogen and helium isotopes in the surface layers of structural materials is reconstructed using the developed technique for processing the energy spectra of electrons scattered from plane-parallel layers of solids into a preset solid angle element. These are the spectra measured with a high energy resolution ΔE ∷ 0.2−0.4 eV. The change in the shape of peaks for elastically scattered electrons is analyzed depending on the probe electron beam energy and experimental geometry. The theory of electrons scattered from plane-parallel layers of solids is constructed using the solution of the boundary value problem for the transfer equation by invariant immersion methods. The analytic solution to the system of equations is found in the small-angle approximation for the reflection and transmission functions. The results of calculations are compared with experimental data on electron scattering from polyethylene. The shape of the energy spectra of electron scattering from deuterium and tritium is predicted. The sensitivity threshold of the method relative to percentage concentration of hydrogen isotopes in hydrocarbons is analyzed.     

Spectroscopy of charged particles elastically scattered by plane-parallel solid layers

The energy spectra of electrons elastically scattered by plane-parallel solid layers are presented. The solid surface is analyzed by a method based on the identification of similar spectra and is called electron Rutherford scattering in analogy with the well-known ion spectroscopy method. The effect of multiple scattering processes on peak intensities in the energy spectra of elastically scattered particles is analyzed. The applicability range of the strong single scattering approximation for the interpretation of the energy spectra of elastically scattered electrons is established.     

Effect of metallic surface microroughness on the probability and spectrum of plasmon excitation by a fast charged particle moving parallel to the surface

The Green’s function of the electric field of plasmons is determined in a semi-infinite medium with an abrupt plasma boundary where nonequilibrium conduction electrons either undergo elastic reflection from the boundary or “stick” to it and give rise to a stationary surface charge. The angular reflection of elastically scattered electrons can be either specular or diffuse. The Green’s function is used to find the singleevent spectrum of energy loss by a fast electron moving parallel to the boundary. The effect of electronboundary scattering parameters on the structure of bulk and surface plasmon resonances is analyzed. The probability of transition radiation of bulk plasmon by an electron moving in vacuum is examined. A new type of surface resonance is found under conditions of perfectly elastic scattering of conduction electrons from the plasma boundary, similar in structure to a tangential surface plasmon.     

The electrical conductivity for inhomogeneous electric fields by the Liouville operator method

A derivation is given of the electrical conductivity for a metal in a space- and time-dependent electric field. Thereby it is assumed that the electrons are scattered elastically by randomly distributed impurities. The derivation starts from the Kubo-Nakajima formula and is based on a perturbation expansion with Liouville operators, where use is made of van Hove's diagonal singularity property of the scattering potential. The formulae obtained are compact and the method is simpler and more transparent than the perturbation formalism developed by van Hove. It is shown that the lowest order approximation corresponds to the Boltzmann equation for electrons in inhomogeneous electric fields.     

Cross sections for K-shell ionization of Si and Ar by 4 keV to 10 keV electron impact

K-Auger electron emission of Si and Ar produced by 4 keV to 10 keV electrons was measured. Absolute yields were obtained by normalizing to the elastically scattered primary electrons. From the yields cross sections for K-shell ionization were deduced. The cross sections are in good agreement with the results of a fit formula for K-shell excitation in the whole range measured, while they agree with results of PWBA calculations including electron exchange in the Ochkur approximation only for the higher impact energies.     

Wirkungsquerschnitt und Winkelverteilung der elastischen und unelastischen Elektronenstreuung in Aluminiumschichten

Absolute intensity measurements of the electrons scattered by a polycrystalline Aluminium foil were carried out in the energy range between 25 and 50 keV. The electrons scattered elastically were separated from those scattered inelastically by means of a retarding field. The intensities of the electrons having passed the foil unscattered and of those which were scattered elastically into the Debye-Scherrerrings and into the continuous background can be interpreted by the assumption of reasonable thicknesses of the crystalline Aluminium and the amorphous Aluminium-Oxide. These values agree approximately with the thickness measured by light absorption. Additionally the probability of the inelastic scattering process can be deduced from these measurements. Investigations of the angular distribution were carried out in order to study the influence of the inelastic scattering on the shape of the primary beam, the rings and the continuous background. The results are discussed in detail. Some results are given in particular, concerning the increase of the half width of the rings due to inelastic scattering processes.     

Eine Gegenfeldanordnung zur Messung von Energie- und Winkelverteilungen gestreuter Elektronen

In a previous paper direct electron-intensity measurements in Debye-Scherrer diagrams of aluminium have been described. A retarding field apparatus was used for investigations into the influence of crystal size and electron energy (15 to 50 keV) on the elastic diffraction intensities. The validity range of the kinematical theory could be determined. By means of a retarding field the inelastically scattered electrons were separated from the elastically scattered electrons (energy loss below 2 eV). In this paper the retarding field apparatus by which scattering intensities can be measured with good accuracy (≈ 2%) is described in detail. It is compared with other arrangements for the measurements of angular and energy distributions of scattered electrons.     

微通道板防离子反馈膜调制传递函数的研究

研究电子与薄膜的相互作用，给出电子通过薄膜后的角度分布表达式。利用弹性散射电子在薄膜中的空间几率分布密度表达式计算微通道板防离子反馈膜的调制传递函数。     

Influence of the processes of elastic scattering on the X-ray photoelectron spectroscopy spectra of nonuniform layered targets

The spectra of X-ray electrons emitted by a nonuniform layered target are calculated in the small-angle approximation using the discrete-coordinate method. The errors in the calculations based on the small-angle and transport approximations are determined.     

Winkelverteilung von elastisch und mit 6,7 eV-Energieverlust an freien Hg-Atomen gestreuten Elektronen

The angular dependence of electrons scattered elastically and inelastically at free mercury atoms have been measured for electron energies between 20 and 300 eV (angular range from 20 to 155°).     

Angular pattern of electron diffraction by reflection in the plasmon channel of energy losses

We have constructed a theory for the excitation of plasmons by a fast charged particle that undergoes diffraction in a single crystal and then is scattered elastically and incoherently through a large angle. The theory allows the 30-year-old experimental results that have seemed strange to be explained. An increase in the diffraction contrast in the channel of inelastic electron scattering related to the excitation of a bulk plasmon compared to the diffraction contrast of elastically and incoherently reflected electrons was observed in these experiments. Based on this theory, we show that the excitation of a surface plasmon affects only slightly the angular diffraction pattern, leaving it almost the same as that for elastically reflected electrons. These peculiarities of elastic and inelastic diffraction can be used to identify the type of energy plasma loss.     

Spinpolarisation langsamer Elektronen durch elastische Streuung an Edelgasatomstrahlen

Zeitschrift für Physik A Hadrons and nuclei - The angular dependence of spin polarisationP(θ) of electrons elastically scattered by noble gas atomic beams is measured in a...     

Elastische Streuung langsamer Elektronen an einem Bi-Atomstrahl

The angular distribution of electrons elastically scattered by bismuth atoms has been investigated in the angular range from 30 to 155° and with electron energies between 5 and 1200 eV. Theoretical data, which are available for energies above 100 eV, are in good agreement with experiment.     

Herstellung und Nachweis polarisierter Elektronenstrahlen durch zweimalige Streuung von Glühelektronen kleiner Energie (1–2 keV) an Hg-Atomstrahlen

Beams of electrons of low energy (1 to 2 keV) are elastically scattered twice by atomic beams of mercury. A maximum intensity asymmetry of 200δ=31±5 was observed for double 90° scattering of 1500 eV electrons.     

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.     

Untersuchungen zur normalen und anomalen Absorption von Elektronen in Silizium- und Germanium-Einkristallen bei verschiedenen Temperaturen

Absolute filtered intensities of the electrons scattered elastically in thin platelike Si and Ge crystals have been measured. From the intensities of the primary and the Bragg reflected beams measured as a function of incident direction the coefficients for normal and anomalous absorption can be obtained with good accuracy, using the two beam approximation of the dynamical theory. Moreover, for Si the foil thickness and structure potentials can be deduced which are in agreement with the thickness determined optically and with calculated structure potentials resp. The results partly are influenced by multiple beam effects, which, however, are shown to be describable by Bethe's second approximation. All absorption coefficients, measured for different reflections and different crystal temperatures, show an increase with temperature, which is rather weak for Si and stronger for Ge. This shows that there is an influence of temperature diffuse scattering on normal and especially on anomalous absorption, which increases with atomic number. The results can be interpreted quantitatively, using simple models for the various contributions to the absorption coefficients (excitation of single electrons, plasmons and phonons).     

Die Winkelverteilung im Bereich 30 bis 155° von elastisch an Golddampf gestreuten Elektronen mit Energien zwischen 150 und 1900 eV

The angular distribution of electrons scattered elastically by gold atoms has been investigated over the angular range from 30 to 155° and with electron energies between 150 and 1900 eV. The scattering curves obtained resemble closely the corresponding curves for mercury atoms. The theoretically expected energy dependence of the 90°-scattering is in poor agreement only with the results obtained experimentally in this work.     

Messung der Intensitäten von elastisch und unelastisch gestreuten Elektronen mit einer Gegenfeldanordnung

A retarding field apparatus for the measurement of angular and energy distributions of scattered electrons (15 to 50 keV) is described. The apparatus was used for investigations into the influence of crystal size and electron energy on the elastically scattered intensity in Debye-Scherrer-diagramms of aluminium. The results are discussed with respect to the dynamical and kinematical theory. It proves, that the kinematical theory does not hold for crystallites of 100 Å thickness or more.     

High energy electron diffraction at Si(001) surfaces

Elastic scattering of 10 keV electrons at Si(001) surfaces at grazing incidence was investigated. The intensity of the specularly reflected elastically scattered electrons as a function of the angle of incidence I_el(γ) was measured for different azimuthal angles and was compared with calculations using the dynamical diffraction theory. It turned out that the contribution of the elastically scattered electrons to the total intensity of the reflections strongly decreases with decreasing angle of incidence. Exciting the reflection (008) the elastic contribution is around 30%, decreasing to about 12% in the case of the reflection (004). In the calculations multiple beam effects, absorption, a smooth variation of the potential at the surface and a reduction of the topmost interlayer spacing were taken into account. There is satisfactory agreement between the structures of experimental and calculated intensity curves, I_el(γ) indicating a slight compression of the surface lattice to be probable. Quantitative agreement, however, for absolute intensities was not obtained.