
Born Series/FirstOrder Born Approximation
 Practical Electron Microscopy and Database 
 An Online Book 

https://www.globalsino.com/EM/

This book (Practical Electron Microscopy and Database) is a reference for TEM and SEM students, operators, engineers, technicians, managers, and researchers.

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In EM (electron microscopy) crystallography, one method to quantum scattering is that the wave equation is mathematically converted to an integral form using the Green’s function. This integral equation is then expanded into Born series. As a firstorder Born approximation, only the first term of the Born series is used. This is equivalent to assuming the incident electrons are scattered no more than once when penetrating through the specimen, called single, or kinematical, scattering. Using only the first term of the Born series also assumes that the directly transmitted electron wave can be reasonably approximated by the incident wave. In other words, the intensity of the diffracted waves is negligible compared to that of the direct wave. Note that the firstorder Born approximation is also equivalent to the Fraunhofer diffraction approximation. Figure 2735 schematically illustrates this quantum scattering applied in electronmicroscopy crystallography.
Figure 2735. Schematic illustration of quantum scattering applied in electronmicroscopy crystallography.

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