Dr. Penn et al., THEORY OF THE CROSS-SECTIONS FOR INELASTIC-SCATTERING OF ELECTRONS BYCORE-LEVEL EXCITATIONS IN SOLIDS, Ultramicroscopy, 69(2), 1997, pp. 69-81
A calculation of cross sections for the inelastic scattering of electr
ons from core levels is carried out based on a model in which core lev
el electrons are excited into a free-electron-like band state. A simpl
ified model is also developed that assumes oscillator strengths approp
riate to band-to-band excitations in solids. The results for Al L-23 a
nd Mo M-45 cross sections are compared with a number of previous calcu
lations. These previous calculations include. (a) the constant-oscilla
tor-strength model, (b) the Rez model (based on excitations to atomic-
like states), and (c) the semi-empirical hydrogenic model proposed by
Egerton. We have incorporated optical data into all of the models cons
idered in this paper with the exception of Egerton's. Calculations are
presented for incident electron energies of 100, 200 and 500 keV, col
lection angles of 1-41 mrad, and energy collection windows of 20-200 e
V. Comparison is also made with experiment where possible and reasonab
le agreement is found.