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
Analytical expressions for inelastic scattering cross sections
β Scribed by W.H Bassichis; A Dar
- Publisher
- Elsevier Science
- Year
- 1966
- Tongue
- English
- Weight
- 495 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
β¦ Synopsis
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 a very simple, analytical expression, suitable for comparison with experiment without resorting to lengthy computer calculations. The Blair Phase Rule is obtained from this expression for all angles and the double phase rule is shown to be valid only for large angles. The resulting expression is compared to experimental cross sections to illustrate the validity of the approximations. Satisfactory agreement is obtained.
π SIMILAR VOLUMES
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
New calculations for the total inelastic electron scattering cross sections for the elements H. He, Ne, Ar and Kr at incident electron energies of 500 eV and 40 keV are presented. The calculations ace given for both an old and a new formula for the total inelastic scattering cross section and are co