Two-beam Dynamical Electron Scattering
- Practical Electron Microscopy and Database -
- An Online Book -  

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


Two-beam dynamical scattering theory is also known as the first Bethe approximation that suffices for many purposes. This approximation is an exact solution of the Schrödinger equation for the special case where only one strong diffracted beam presents in the diffraction pattern. For a single crystal, the two-beam dynamical diffraction theory suggests the intensity of an <hkl> diffracted beam given by,

         Two-beam dynamical diffraction conditions / first Bethe approximation in TEM Measurements ---------------------- [2714a]
         Two-beam dynamical diffraction conditions / first Bethe approximation in TEM Measurements ------------- [2714a]
         I0 -- The intensity of the incident electron beam,
         S -- The illuminating area by the incident electron beam,
         Φhkl -- Fourier coefficients of an electrostatic potential,
         Fhkl -- The structure factors,
         A -- The thickness of the crystal in the TEM specimen,
         H -- The extension of the reflection in reciprocal space,
         σ -- The interaction constant between the incident electrons and specimen,
         Θ -- The half of the angle between the transmitted and scattered electron beams,
         ξhkl -- The extinction distance.




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