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Inelastic plasmon and inter-band electron-scattering potentials for Si from dielectric matrix calculations

Technical Report:

Abstract

Inelastic scattering of electrons in a crystalline environment may be represented by a complex non-hermitian potential. Completed generalised expressions for this inelastic electron scattering potential matrix, including virtual inelastic scattering, are derived for outer-shell electron and plasmon excitations. The relationship between these expressions and the general anisotropic dielectric response matrix of the solid is discussed. These generalised expressions necessarily include the off-diagonal terms representing effects due to departure from translational invariance in the interaction. Results are presented for the diagonal back structure dependent inelastic and virtual inelastic scattering potentials for Si, from a calculation of the inverse dielectric matrix in the random phase approximation. Good agreement is found with experiment as a function of incident energies from 10 eV to 100 keV. Anisotropy effects and hence the interaction de localisation represented by the off-diagonal scattering potential terms, are found to be significant below 1 keV. 38 refs., 2 figs.
Authors:
Josefsson, T W; [1]  Smith, A E [2] 
  1. Melbourne Univ., Parkville, VIC (Australia). School of Physics
  2. Monash Univ., Clayton, VIC (Australia). Dept. of Physics
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
UM-P-94/55
Reference Number:
SCA: 665300; PA: AIX-26:019041; EDB-95:032966; SN: 95001330540
Resource Relation:
Other Information: PBD: [1994]
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; INELASTIC SCATTERING; MATRIX ELEMENTS; POTENTIAL SCATTERING; SILICON; ELECTRONIC STRUCTURE; ELECTRON DIFFRACTION; ENERGY RANGE; EXPERIMENTAL DATA; HERMITIAN MATRIX; PLASMONS; 665300; INTERACTIONS BETWEEN BEAMS AND CONDENSED MATTER
OSTI ID:
10113845
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE95616778; TRN: AU9414253019041
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
24 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Josefsson, T W, and Smith, A E. Inelastic plasmon and inter-band electron-scattering potentials for Si from dielectric matrix calculations. Australia: N. p., 1994. Web.
Josefsson, T W, & Smith, A E. Inelastic plasmon and inter-band electron-scattering potentials for Si from dielectric matrix calculations. Australia.
Josefsson, T W, and Smith, A E. 1994. "Inelastic plasmon and inter-band electron-scattering potentials for Si from dielectric matrix calculations." Australia.
@misc{etde_10113845,
title = {Inelastic plasmon and inter-band electron-scattering potentials for Si from dielectric matrix calculations}
author = {Josefsson, T W, and Smith, A E}
abstractNote = {Inelastic scattering of electrons in a crystalline environment may be represented by a complex non-hermitian potential. Completed generalised expressions for this inelastic electron scattering potential matrix, including virtual inelastic scattering, are derived for outer-shell electron and plasmon excitations. The relationship between these expressions and the general anisotropic dielectric response matrix of the solid is discussed. These generalised expressions necessarily include the off-diagonal terms representing effects due to departure from translational invariance in the interaction. Results are presented for the diagonal back structure dependent inelastic and virtual inelastic scattering potentials for Si, from a calculation of the inverse dielectric matrix in the random phase approximation. Good agreement is found with experiment as a function of incident energies from 10 eV to 100 keV. Anisotropy effects and hence the interaction de localisation represented by the off-diagonal scattering potential terms, are found to be significant below 1 keV. 38 refs., 2 figs.}
place = {Australia}
year = {1994}
month = {Dec}
}