𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Analytical expressions for inelastic scattering cross sections

✍ 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.

✦ 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.


πŸ“œ SIMILAR VOLUMES


Analytical expressions for inelastic sca
✍ S Varma; A Dar πŸ“‚ Article πŸ“… 1966 πŸ› Elsevier Science 🌐 English βš– 636 KB

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

Universality Classes of Inelastic Electr
✍ Tougaard, Sven πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 847 KB

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

Improved total inelastic scattering cros
✍ R.A. Bonham; E.W. Ng πŸ“‚ Article πŸ“… 1970 πŸ› Elsevier Science 🌐 English βš– 367 KB

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