### Abstract

Quasi-elastic scatterings of high-energy electrons are studied with quantum scattering theory including recoil effects by use of correlation functions. Two different types of recoil processes are investigated; one is free atom recoil and the other is phonon excited recoil processes within harmonic vibration approximation where Mermin's theorem works. The recoil effects of photoelectrons excited by high-energy X-rays are also studied, where the atomic displacement after the core-hole production also plays some important roles. For practical calculations the Debye approximation is used for phonon spectra, which gives rise to the simple free atom recoil energy shift. The broadenings of the spectra depend on the temperature in contrast to the energy shift, and is quite different from the free atom approximation in particular at low temperature. Numerical calculations are carried out for Be, C (graphite), Si and Ge powders. The energy shifts for solids composed of light elements are comparable with typical chemical shifts.

Original language | English |
---|---|

Pages (from-to) | 170-177 |

Number of pages | 8 |

Journal | Journal of Electron Spectroscopy and Related Phenomena |

Volume | 151 |

Issue number | 3 |

DOIs | |

Publication status | Published - May 2006 |

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### Keywords

- High-energy quasi-elastic scattering
- High-energy XPS
- Mermin theorem
- Recoil effects of fast electrons

### ASJC Scopus subject areas

- Physical and Theoretical Chemistry
- Spectroscopy
- Atomic and Molecular Physics, and Optics
- Surfaces and Interfaces

### Cite this

*Journal of Electron Spectroscopy and Related Phenomena*,

*151*(3), 170-177. https://doi.org/10.1016/j.elspec.2005.11.011

**Theory of recoil effects of elastically scattered electrons and of photoelectrons.** / Fujikawa, Takashi; Suzuki, Rie; Kövér, L.

Research output: Contribution to journal › Article

*Journal of Electron Spectroscopy and Related Phenomena*, vol. 151, no. 3, pp. 170-177. https://doi.org/10.1016/j.elspec.2005.11.011

}

TY - JOUR

T1 - Theory of recoil effects of elastically scattered electrons and of photoelectrons

AU - Fujikawa, Takashi

AU - Suzuki, Rie

AU - Kövér, L.

PY - 2006/5

Y1 - 2006/5

N2 - Quasi-elastic scatterings of high-energy electrons are studied with quantum scattering theory including recoil effects by use of correlation functions. Two different types of recoil processes are investigated; one is free atom recoil and the other is phonon excited recoil processes within harmonic vibration approximation where Mermin's theorem works. The recoil effects of photoelectrons excited by high-energy X-rays are also studied, where the atomic displacement after the core-hole production also plays some important roles. For practical calculations the Debye approximation is used for phonon spectra, which gives rise to the simple free atom recoil energy shift. The broadenings of the spectra depend on the temperature in contrast to the energy shift, and is quite different from the free atom approximation in particular at low temperature. Numerical calculations are carried out for Be, C (graphite), Si and Ge powders. The energy shifts for solids composed of light elements are comparable with typical chemical shifts.

AB - Quasi-elastic scatterings of high-energy electrons are studied with quantum scattering theory including recoil effects by use of correlation functions. Two different types of recoil processes are investigated; one is free atom recoil and the other is phonon excited recoil processes within harmonic vibration approximation where Mermin's theorem works. The recoil effects of photoelectrons excited by high-energy X-rays are also studied, where the atomic displacement after the core-hole production also plays some important roles. For practical calculations the Debye approximation is used for phonon spectra, which gives rise to the simple free atom recoil energy shift. The broadenings of the spectra depend on the temperature in contrast to the energy shift, and is quite different from the free atom approximation in particular at low temperature. Numerical calculations are carried out for Be, C (graphite), Si and Ge powders. The energy shifts for solids composed of light elements are comparable with typical chemical shifts.

KW - High-energy quasi-elastic scattering

KW - High-energy XPS

KW - Mermin theorem

KW - Recoil effects of fast electrons

UR - http://www.scopus.com/inward/record.url?scp=33644627088&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33644627088&partnerID=8YFLogxK

U2 - 10.1016/j.elspec.2005.11.011

DO - 10.1016/j.elspec.2005.11.011

M3 - Article

AN - SCOPUS:33644627088

VL - 151

SP - 170

EP - 177

JO - Journal of Electron Spectroscopy and Related Phenomena

JF - Journal of Electron Spectroscopy and Related Phenomena

SN - 0368-2048

IS - 3

ER -