Tw. Josefsson et al., DIELECTRIC MATRIX CALCULATION OF THE DIFFERENTIAL CROSS-SECTION FOR PLASMON EXCITATION AND APPLICATION TO ELECTRON-DIFFRACTION, Physical review. B, Condensed matter, 54(18), 1996, pp. 12873-12879
We present a calculation of the differential cross section for plasmon
excitation in Si based on a dielectric matrix which takes into accoun
t the electronic band structure of the solid. This result is compared
with simple free-electron theory. The differential cross sections are
then applied to calculate energy unfiltered convergent beam electron-d
iffraction patterns for Si for cases where experimental data exist. Th
e simple model for multiple scattering due to plasmon excitation used
here gives good overall agreement with experiment, the dielectric matr
ix calculation more so than that using free-electron theory.