The Blair-Austern (1) expression for the cross section for inelastic scattering via collective excitation, under strong absorption conditions, is rederived using the W.K.B. approximation. It is then shown that application of a small number of approximations transforms the Blair-Austern formula into
Universality Classes of Inelastic Electron Scattering Cross-sections
β Scribed by Tougaard, Sven
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 847 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0142-2421
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β¦ Synopsis
Quantitative XPS and AES analysis of surfaces requires models to do fast calculations of the energy loss of electrons at any energy as they move in solids of general and non-uniform composition. This is possible with the Universal cross-section that was introduced a decade ago. A critical review is given of the Universal cross-section in the light of the results of research carried out since then. In particular its validity is compared to that of experimental cross-sections determined by analysis of reΓected electron energy-loss spectroscopy (REELS) spectra. It is shown that for applications in quantitative surface analysis by XPS and AES, the solids can be divided into classes according to the full width at half-maximum of the dominating shape of the inelastic scattering cross-section. The Universal cross-section is quite accurate for solids with a cross-section width eV. For solids with a cross-Z20 section width of 10-15 eV, the Universal cross-section is still fairly good for the description of the far-peak region eV from the peak energy) but it is less accurate to account for the near-peak region eV from the peak (Z30 ([10 energy). For solids with a cross-section width eV, the REELS cross-section is always more accurate than the [5 Universal cross-section. A Three-parameter Universal cross-section was deΓned, which gives a good Γt to narrow experimental cross-sections. Parameters for di β erent solids were determied and it was shown that the polymers form a separate universality class.
1997 by
π SIMILAR VOLUMES
Closed-form expressions are derived for the differential cross section for inelastic scattering via mutual and double collective excitations and under strong absorption conditions. The expressions result in the generalized "Blair phase Rules." The predictions are compared with experimental data and
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