Total Cross Sections for Inelastic Scattering of Charged Particles by Atoms and Molecules. I. A Sum Rule for the Bethe Cross Sections and Its Application to the Helium Atom

1967 ◽  
Vol 164 (1) ◽  
pp. 55-61 ◽  
Author(s):  
Mitio Inokuti ◽  
Yong-Ki Kim ◽  
Robert L. Platzman
Author(s):  
S. Golladay

The theory of multiple scattering has been worked out by Groves and comparisons have been made between predicted and observed signals for thick specimens observed in a STEM under conditions where phase contrast effects are unimportant. Independent measurements of the collection efficiencies of the two STEM detectors, calculations of the ratio σe/σi = R, where σe, σi are the total cross sections for elastic and inelastic scattering respectively, and a model of the unknown mass distribution are needed for these comparisons. In this paper an extension of this work will be described which allows the determination of the required efficiencies, R, and the unknown mass distribution from the data without additional measurements or models. Essential to the analysis is the fact that in a STEM two or more signal measurements can be made simultaneously at each image point.


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