Relativistic effects in atomic inner-shell ionization by a focused electron probe

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

A relativistic theory of atomic inner-shell ionization is presented in a form directly applicable to the calculation of the electron energy loss signal obtained using a focused electron probe in a scanning transmission electron microscope. Expressions are given for the implementation of the theory assuming a central potential atomic model. Analytical and numerical calculations are used to demonstrate that, for points in the diffraction plane lying close to the optic axis, the difference between the relativistic and nonrelativistic theories can be significant, even for an incident energy of 100keV (usually considered too low an energy for relativistic effects to be important). Implications for the quantitative matching of experimental and simulated data are discussed.

Original languageEnglish (US)
Article number144102
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume72
Issue number14
DOIs
StatePublished - Oct 1 2005
Externally publishedYes

Fingerprint

relativistic theory
electron probes
relativistic effects
Ionization
ionization
Electrons
Optics
Energy dissipation
Electron microscopes
electron microscopes
Diffraction
energy dissipation
optics
electron energy
Scanning
scanning
energy
diffraction

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

@article{13d26bd051a84a31bb3e9ef34aa8c780,
title = "Relativistic effects in atomic inner-shell ionization by a focused electron probe",
abstract = "A relativistic theory of atomic inner-shell ionization is presented in a form directly applicable to the calculation of the electron energy loss signal obtained using a focused electron probe in a scanning transmission electron microscope. Expressions are given for the implementation of the theory assuming a central potential atomic model. Analytical and numerical calculations are used to demonstrate that, for points in the diffraction plane lying close to the optic axis, the difference between the relativistic and nonrelativistic theories can be significant, even for an incident energy of 100keV (usually considered too low an energy for relativistic effects to be important). Implications for the quantitative matching of experimental and simulated data are discussed.",
author = "Christian Dwyer",
year = "2005",
month = "10",
day = "1",
doi = "10.1103/PhysRevB.72.144102",
language = "English (US)",
volume = "72",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "14",

}

TY - JOUR

T1 - Relativistic effects in atomic inner-shell ionization by a focused electron probe

AU - Dwyer, Christian

PY - 2005/10/1

Y1 - 2005/10/1

N2 - A relativistic theory of atomic inner-shell ionization is presented in a form directly applicable to the calculation of the electron energy loss signal obtained using a focused electron probe in a scanning transmission electron microscope. Expressions are given for the implementation of the theory assuming a central potential atomic model. Analytical and numerical calculations are used to demonstrate that, for points in the diffraction plane lying close to the optic axis, the difference between the relativistic and nonrelativistic theories can be significant, even for an incident energy of 100keV (usually considered too low an energy for relativistic effects to be important). Implications for the quantitative matching of experimental and simulated data are discussed.

AB - A relativistic theory of atomic inner-shell ionization is presented in a form directly applicable to the calculation of the electron energy loss signal obtained using a focused electron probe in a scanning transmission electron microscope. Expressions are given for the implementation of the theory assuming a central potential atomic model. Analytical and numerical calculations are used to demonstrate that, for points in the diffraction plane lying close to the optic axis, the difference between the relativistic and nonrelativistic theories can be significant, even for an incident energy of 100keV (usually considered too low an energy for relativistic effects to be important). Implications for the quantitative matching of experimental and simulated data are discussed.

UR - http://www.scopus.com/inward/record.url?scp=29644447777&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29644447777&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.72.144102

DO - 10.1103/PhysRevB.72.144102

M3 - Article

AN - SCOPUS:29644447777

VL - 72

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 14

M1 - 144102

ER -