Elastic scattering of low-energy electrons by NO

We report elastic integral, momentum transfer and differential cross sections for electron scattering by N₂O for energies up to 50 eV. These results were obtained at the static-exchange approximation with the Schwinger Multichannel Method with Pseudopotentials [M.H.F. Bettega, L.G. Ferreira and M.A.P. Lima, Phys. Rev. A 47, 1111 (1993)]. In general our results show good agreement with experimental data and with other theoretical results but some discrepancies are found. We have also found a shape resonance around 4 eV in agreement with previous calculations using the R-matrix Method of Sarpal et al. [J. Phys. B 29, 857 (1996)]. On the other hand, the existence of a resonance at about 13 eV, clearly seen by the Schwinger Variational Iterative Method [Michelin et al., J. Phys. B 29, 2115 (1996)], can not be confirmed by our calculations. At this energy, our cross sections show a broad bump with no clear resonant behavior given by the eigenphase sum. Received: 13 November 1997 / Revised: 13 March 1998 / Accepted: 9 April 1998     

Elastic scattering of low-energy electrons by cadmium atoms

Experimental results on the differential cross sections of 180° elastic electron scattering and the total cross section of electron scattering by cadmium atoms in the energy range 0–6 eV are reported for the first time. Distinct shape resonances with the (5s ²5p)² P ⁰ and 5s5p ² configurations are revealed in the near-threshold range and at E≈4 eV. In the range 3.0–3.7 eV, the differential cross section exhibits extra singularities that are probably related to the d-wave shape resonance. The resonance contribution to the backscattering cross section near 4 eV is found to be about 20%.     

Elastic scattering of electrons by benzene

Relative differential cross-sections for the elastic scattering of electrons from benzene have been measured at incident energies 300, 500, 700 and 900eV and for scattering angles between 30° and 120°. The results are discussed and compared with the independent atom model (IAM) calculations. Two different sets of scattering amplitudes for the constituent atoms of benzene were used in these calculations, one obtained from first Born approximation and the other from partial wave analysis of the Dirac equation. Only the static interaction was taken into account in the calculations. The higher the incident energy, the better is the observed agreement between experiment and theory. This indicates that at higher energies, absorption, exchange and polarization effects are not significant as compared to the static interaction and that the IAM satisfactorily predicts the interference of scattering from the individual atoms of C₆H₆.     

Elastic scattering of electrons by spherical nuclei

The differential effective scattering cross sections of electrons by spherical nuclei are obtained using a proposed density distribution. The analysis is based on the method of the distorted wave high energy approximation. From the comparison of the obtained results with the corresponding experimental data, the parameters of the density distributions of protons, neutrons and nucleons are determined, for which the best agreement is achieved.     

Elastic scattering of electrons by hydrogen molecules

Elastic scattering of electrons by hydrogen molecules has been investigated in the intermediate energy range 100–2000 eV. The direct scattering amplitude consists of first Börn and second Börn minus distortion term. The contribution of exchange has been included through Ochkur approximation. The elastic differential cross-sections agree with experimental data.     

Elastic scattering of electrons by argon atoms

The partial wave method with a central potential has been applied to investigate the elastic scattering of electrons by the argon atoms in the intermediate energy range (100 eV − 1 keV). The central potential includes the effects of the static field, exchange and polarization. The results are in good accord with recent experimental data. A brief account of this investigation was presented at the X Int. Conf. on the Physics of Electronic and Atomic Collisions held at Paris in July 1977.     

Elastic scattering of the conduction electrons by adsorbed hydrogen

The cross section of adsorbed hydrogen for the conduction electrons is evaluated according to the Boltzmann-Fuchs equation, the Greene and Soffer theories for surface scattering of the conduction electrons and to the change of the electrical resistivity due to hydrogen adsorbed on evaporated nickel films obtained experimentally by Suhrmann et al. The calculated cross sections are 2.0 × 10^?15 cm² and 1.8 × 10^?15 cm² at 273°K and 90°K respectively at a low coverage of hydrogen, which are consistent with the theoretical value 3.0 × 10^?15 cm² by Toya and reasonable compared with 0.9 × 10^?15 cm², the cross section of a gaseous hydrogen atom. The cross section decreases with increase of the coverage. This change is considered to be closely related to that of the heat of adsorption.     

Elastic scattering of electrons by helium and neon atoms

Summary  Partial and total cross-sections of electrons scattering by helium and neon atoms are calculated at eleven values of incident energy ranging from 0.1 a.u. to 1.1 a.u. The calculations are carried out via model potential (describing the electron target interaction). The iterative Green’s function partial-wave expansion technique was used. The comparison between our results and those obtained by other authors show significant agreement and supports our simple model scattering process.     

Elastic scattering of electrons by europium and ytterbium atoms

The method of relativistic optical potential is applied to studying elastic scattering of electrons by europium and ytterbium atoms in a wide range of collision energies up to 2 keV. The angular dependences of the scattering differential cross sections and the energy dependences of the scattering integral (total, elastic, momentum transfer, and viscosity) cross sections are calculated in both spin-polarized and spin-unpolarized approximations. It is shown that the spin-polarized approximation should be used to calculate the scattering cross sections at energies below 10 eV for a europium atom. The low-energy scattering of an electron by a europium atom is characterized by P-, D-, and F-wave shape resonances. For an ytterbium atom, the calculated cross sections are in good agreement with available experimental data and with those obtained by calculation in terms of the relativistic convergent close-coupling method.     

Elastic scattering of electrons and positrons by cadmium atoms

ABSTRACT

The differential, integrated elastic, total and momentum transfer cross sections along with Sherman function for the elastic scattering of electrons and positrons by cadmium atoms have been evaluated from the partial wave solution of the Dirac relativistic scattering equations for a projectile-atom complex potential at the energy range 6.4 eV < E < 1.0 keV. For various scattering quantities, a comparison of our results exhibits better agreement with the experimental data than the other available theoretical values.     

Elastic scattering of low-energy electrons by a uranium atom: Reliability of theoretical predictions of based on a model description

We used the method of phase functions to solve the radial relativistic Dirac equation and nonrelativistic Schroedinger equation. With these solutions, we investigated the elastic scattering of slow electrons by a uranium atom, and obtained numerical values for the total cross section and elastic scattering phases. In order to check the correctness of the results found from the method of phase functions, in all cases we also solved the Dirac and Schroedinger equations by direct numerical integration. Several types of polarization and exchange potentials were used to simulate the scattering process. We conclude that the strong dependence of the cross section for elastic scattering of an electron by uranium on the shape of the effective potential of the latter at small kinetic energies (E _k<5 eV) makes it impossible to predict the presence or absence of a Ramsauer effect reliably. Zh. éksp. Teor. Fiz. 111, 1214–1228 (April 1997)     

Elastic scattering of electrons from tetrahydrofuran molecule

Absolute differential cross-sections (DCSs) for elastic scattering of electrons from the DNA backbone sugarlike analogue tetrahydrofuran (THF) molecule were determined using a crossed beam measurements for incident energies from 20 eV to 300 eV and scattering angles from 10^o to 110^o. Using the relative-flow technique, elastic DCSs for THF relative to nitrogen have been obtained at incident energies of 20, 30, 40, 50 and 60 eV. In the energy region above 30 eV, the DCSs were measured independently as a function of both incident electron energy and scattering angle. Therefore, this set of relative DCSs has been calibrated to the absolute scale via normalization to a single point in the overlapping region. Additionally, both vibrational and electronic energy loss spectra for THF are presented and influence of energy resolution to the obtained DCSs is discussed.     

Elastic scattering of electrons from tetrahydrofurfuryl alcohol

Differential cross-sections (DCSs) for elastic scattering of electrons from tetrahydrofurfuryl alcohol (THFA), which can be considered as an analogue molecule to DNA sugar deoxyribose, were determined using crossed beam measurements for incident energies from 40 eV to 300 eV and scattering angles from 30° to 110°. The relative DCSs were measured both as a function of incident electron energy and scattering angle, allowing absolute calibration of the whole data set via normalization to a single point. The absolute calibration has been performed according to calculated absolute DCSs obtained by the corrected independent atom method using an improved quasifree absorption model. The calculated data-set includes DCSs and integral elastic and inelastic cross-sections in the incident energy range from 5 eV to 5000 eV. The theoretical results agree very well with the experimental ones, regarding the shape of DCSs. Moreover, the same theoretical procedure has been used to obtain DCSs for elastic electron scattering from a simpler deoxyribose analogue tetrahydrofuran (THF), which agree very well, both in shape and on the absolute scale, with the recent experimentally obtained absolute DCSs [A.R. Milosavljević et al., Eur. Phys. J. D 35, 411 (2005)]. The present results are also compared with the recent theoretical data for THF and THFA. Finally, according to both experimental and theoretical data, the DCSs for elastic electron scattering from THFA and THF molecules appear to be very similar both in shape and absolute scale.     

Elastic scattering of electrons from water molecule

This paper uses the momentum--space optical potential method to calculate the e--H₂O scattering elastic cross sections at the energy range from 6 eV to 50 eV, and the differential cross sections in the angle from 0° to 180° at 40 eV and 50 eV. The polarisation is taken into account via an emphab initio equivalent-local potential. The cross sections are compared with experimental measurements and other theoretical calculations.     

Elastic scattering of high-energy electrons on atoms

A method is presented for the numerical calculation of the differential, total, and transport cross sections of elastic scattering, and results are given for the scattering of fast electrons with energies in the range 10 keV to 1 MeV on neutral atoms of uranium, silver, argon, aluminum, and oxygen. Approximations are obtained for the energy dependences of the scattering cross sections.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 8–12, January, 1980.     

Elastic scattering of electrons by hydrogen molecules at intermediate energies

Several quantum mechanical calculations of differential cross sections for elastic scattering of electrons by H₂ are compared with the recent experiments by Williams.     

Elastic and inelastic scattering of electrons by aligned light nuclei

The contribution to the elastic and inelastic scattering cross sections, , due to alignment of nuclei having axial symmetry was calculated for scattering of unpolarized, ultra-relativistic electrons by⁷Li atoms. This contribution turned out to be on the order of magnitude of the cross section ₀ previously calculated in the absence of nuclear alignment. For various nuclear orientations, the ratios /_o were calculated as a function of the momentum transfer q, which may be useful, for example, in increasing the reliability of identification of quantum numbers of nuclear states and multipole transitions.In contrast with the expression for _o, the expression for contains cross products of reduced matrix elements (RME), along with the squares of their moduli. This permits one, having previously experimentally found ₀ and under various kinematical conditions but for fixed q (the RME depend only on q), to obtain a system of equations for the RME and the statistical tensor g₂, which characterizes the degree of alignment of the nuclear target, along with the separation of the parallel and perpendicular cross sections as in the case of unaligned nuclei. Having solved the system of equations, one finds g₂ both in terms of the moduli of the RME of each multipole transition individually, and also in terms of their relative phases. The additional information thus obtained for each nuclear transition may serve as a more strict criterion for checking models of nuclei used in calculations than measurement of ₀ alone.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 94–98, January, 1990.