Application of the Eikonal Approximation to Electron Scattering. I. Elastic Scattering from Spherically Symmetric Potentials

1972 ◽  
Vol 56 (8) ◽  
pp. 3766-3769 ◽  
Author(s):  
D. P. Duncan ◽  
F. H. Tuley ◽  
D. A. Kohl
Keyword(s):  
Elastic Scattering ◽  
Electron Scattering ◽  
Eikonal Approximation ◽  
Spherically Symmetric

Electron Scattering in Solids

1990 ◽  
Vol 48 (2) ◽  
pp. 4-5
Author(s):  
Ryuichi Shimizu ◽  
Ze-Jun Ding
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Angular Distribution ◽  
Elastic Scattering ◽  
Electron Scattering ◽  
Cross Sections ◽  
Expansion Method ◽  
Electron Excitation ◽  
Partial Wave Expansion ◽  
Backscattered Electrons

Monte Carlo simulation has been becoming most powerful tool to describe the electron scattering in solids, leading to more comprehensive understanding of the complicated mechanism of generation of various types of signals for microbeam analysis.The present paper proposes a practical model for the Monte Carlo simulation of scattering processes of a penetrating electron and the generation of the slow secondaries in solids. The model is based on the combined use of Gryzinski’s inner-shell electron excitation function and the dielectric function for taking into account the valence electron contribution in inelastic scattering processes, while the cross-sections derived by partial wave expansion method are used for describing elastic scattering processes. An improvement of the use of this elastic scattering cross-section can be seen in the success to describe the anisotropy of angular distribution of elastically backscattered electrons from Au in low energy region, shown in Fig.l. Fig.l(a) shows the elastic cross-sections of 600 eV electron for single Au-atom, clearly indicating that the angular distribution is no more smooth as expected from Rutherford scattering formula, but has the socalled lobes appearing at the large scattering angle.

Calculation of charge form factor of elastic electron scattering based on Skyrme force and relativistic eikonal approximation

2019 ◽  
Vol 28 (03) ◽  
pp. 1950015
Author(s):  
Xiaoyong Guo ◽  
Zaijun Wang ◽  
Tianjing Li ◽  
Jian Liu
Keyword(s):  
Electron Scattering ◽  
Mean Field ◽  
Form Factors ◽  
Eikonal Approximation ◽  
Skyrme Force ◽  
Elastic Electron ◽  
Elastic Electron Scattering ◽  
Charge Form ◽  
Relativistic Treatment ◽  
Rmf Model

We construct a scheme to calculate the charge form factors for the elastic electron scattering. Our calculation is based on the relativistic eikonal approximation and the Skyrme–Hartree–Fock equation. To perform our calculation and benchmark the results, eight model nuclei with available experimental data: [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text] are considered. For the comparison, the charge form factors calculated by the relativistic mean-field (RMF) model are also provided. Parameter set SLy5 is utilized for the Skyrme force, and the set NL3 is applied for the RMF model. It has been confirmed that combining of a nonrelativistic treatment for the target nucleus with a relativistic treatment for the incident electron may work better to reach highly descriptive and predictive results similar to the pure relativistic treatment. The results of this work are also useful for future experiments to test different inputs of densities for a specific nucleus.

Erratum: Electron scattering from H2O: Elastic scattering [Phys. Rev. A78, 052710 (2008)]

2013 ◽  
Vol 87 (4) ◽  
Author(s):  
M. A. Khakoo ◽  
H. Silva ◽  
J. Muse ◽  
M. C. A. Lopes ◽  
C. Winstead ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Electron Scattering

Z Dependence of Electron Scattering by Single Atoms into Annular Dark-Field Detectors

2011 ◽  
Vol 17 (6) ◽  
pp. 847-858 ◽  
Author(s):  
Michael M.J. Treacy
Keyword(s):  
Elastic Scattering ◽  
Inelastic Scattering ◽  
Cross Section ◽  
Electron Scattering ◽  
Dark Field ◽  
Single Atom ◽  
Single Atoms ◽  
Annular Dark Field ◽  
Annular Detector ◽  
The Cross

AbstractA simple parameterization is presented for the elastic electron scattering cross sections from single atoms into the annular dark-field (ADF) detector of a scanning transmission electron microscope (STEM). The dependence on atomic number, Z, and inner reciprocal radius of the annular detector, q0, of the cross section σ(Z,q0) is expressed by the empirical relationwhere A(q0) is the cross section for hydrogen (Z = 1), and the detector is assumed to have a large outer reciprocal radius. Using electron elastic scattering factors determined from relativistic Hartree-Fock simulations of the atomic electron charge density, values of the exponent n(Z,q0) are tabulated as a function of Z and q0, for STEM probe sizes of 1.0 and 2.0 Å.Comparison with recently published experimental data for single-atom scattering [Krivanek et al. (2010). Nature464, 571–574] suggests that experimentally measured exponent values are systematically lower than the values predicted for elastic scattering from low-Z atoms. It is proposed that this discrepancy arises from the inelastic scattering contribution to the ADF signal. A simple expression is proposed that corrects the exponent n(Z,q0) for inelastic scattering into the annular detector.

scholarly journals Probing the Small Scale Structures around Herbig Be Stars using Hα Spectropolarimetry

2000 ◽  
Vol 175 ◽  
pp. 108-112
Author(s):  
René D. Oudmaijer ◽  
Janet E. Drew ◽  
Graeme Busfield
Keyword(s):  
Accretion Disks ◽  
Electron Scattering ◽  
Detection Rate ◽  
Circumstellar Disks ◽  
Small Scale ◽  
Spherically Symmetric ◽  
Be Stars ◽  
Scale Structures ◽  
Larger Sample ◽  
Small Scale Structures

AbstractWe present spectropolarimetric observations across Hα of a sample of Herbig Be objects. Roughly half of the observed Herbig Be stars show polarization changes across Hα, implying immediately that their ionized, hence inner, envelopes are not spherically symmetric. This pattern, if confirmed by observations of a larger sample, could indicate that the non-detection rate is simply a consequence of sampling randomly-oriented circumstellar disks able to scatter starlight within a few stellar radii, with as implication that the massive Herbig Be stars are still surrounded by accretion disks. In addition, we present preliminary modelling which will assist interpreting the kinematic structure of the electron-scattering region.

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