### Abstract

Various approximations in the calculations of electron energy-loss cross section and x-ray absorption coefficient have been evaluated using the Si L _{2,3} edge as an example. It was found that the random phase approximation, for which the cross terms are neglected in the expressions of electron energy-loss cross section and x-ray absorption coefficient, is a very good approximation. The dipole approximation in the calculation of the electron energy-loss cross section was found to begin to break down even at small acceptance half angles, such as 12.5 mrad. For energy losses larger than that of the Si L_{2,3} edge the dipole approximation will break down faster. This approximation also fails for a large scattering angle even at a small energy loss. The electron energy-loss cross section and x-ray absorption coefficient of the Si L_{2,3} edge has been calculated and compared. The large difference in relative intensity reported experimentally between the two spectra is not confirmed in this study. More experimental comparisons between electron energy loss and x-ray absorption spectra are recommended for Si and other compounds.

Original language | English (US) |
---|---|

Pages (from-to) | 288-290 |

Number of pages | 3 |

Journal | Journal of Applied Physics |

Volume | 68 |

Issue number | 1 |

DOIs | |

State | Published - 1990 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

_{2,3}edge.

*Journal of Applied Physics*,

*68*(1), 288-290. https://doi.org/10.1063/1.347129

**Theoretical comparison of electron energy-loss and x-ray absorption near-edge fine structure of the Si L _{2,3} edge.** / Ma, H.; Lin, S. H.; Carpenter, Ray; Sankey, O. F.

Research output: Contribution to journal › Article

_{2,3}edge',

*Journal of Applied Physics*, vol. 68, no. 1, pp. 288-290. https://doi.org/10.1063/1.347129

_{2,3}edge. Journal of Applied Physics. 1990;68(1):288-290. https://doi.org/10.1063/1.347129

}

TY - JOUR

T1 - Theoretical comparison of electron energy-loss and x-ray absorption near-edge fine structure of the Si L2,3 edge

AU - Ma, H.

AU - Lin, S. H.

AU - Carpenter, Ray

AU - Sankey, O. F.

PY - 1990

Y1 - 1990

N2 - Various approximations in the calculations of electron energy-loss cross section and x-ray absorption coefficient have been evaluated using the Si L 2,3 edge as an example. It was found that the random phase approximation, for which the cross terms are neglected in the expressions of electron energy-loss cross section and x-ray absorption coefficient, is a very good approximation. The dipole approximation in the calculation of the electron energy-loss cross section was found to begin to break down even at small acceptance half angles, such as 12.5 mrad. For energy losses larger than that of the Si L2,3 edge the dipole approximation will break down faster. This approximation also fails for a large scattering angle even at a small energy loss. The electron energy-loss cross section and x-ray absorption coefficient of the Si L2,3 edge has been calculated and compared. The large difference in relative intensity reported experimentally between the two spectra is not confirmed in this study. More experimental comparisons between electron energy loss and x-ray absorption spectra are recommended for Si and other compounds.

AB - Various approximations in the calculations of electron energy-loss cross section and x-ray absorption coefficient have been evaluated using the Si L 2,3 edge as an example. It was found that the random phase approximation, for which the cross terms are neglected in the expressions of electron energy-loss cross section and x-ray absorption coefficient, is a very good approximation. The dipole approximation in the calculation of the electron energy-loss cross section was found to begin to break down even at small acceptance half angles, such as 12.5 mrad. For energy losses larger than that of the Si L2,3 edge the dipole approximation will break down faster. This approximation also fails for a large scattering angle even at a small energy loss. The electron energy-loss cross section and x-ray absorption coefficient of the Si L2,3 edge has been calculated and compared. The large difference in relative intensity reported experimentally between the two spectra is not confirmed in this study. More experimental comparisons between electron energy loss and x-ray absorption spectra are recommended for Si and other compounds.

UR - http://www.scopus.com/inward/record.url?scp=0004451695&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0004451695&partnerID=8YFLogxK

U2 - 10.1063/1.347129

DO - 10.1063/1.347129

M3 - Article

AN - SCOPUS:0004451695

VL - 68

SP - 288

EP - 290

JO - Journal of Applied Physics

JF - Journal of Applied Physics

SN - 0021-8979

IS - 1

ER -