Born approximation
Born approximation
If the potential energy in a crystal is much smaller than the incident electron energy, the scattering event can be assumed to occur only one time in the crystal and the amplitude of the incident electron wave is not attenuated in the crystal. To calculate the amplitude of the scattered wave under such an approximation is called Born approximation.
When the scattered wave in a crystal is calculated as the solution of the integral form of Schroedinger equation, the scattering amplitude is proportional to Coulomb potential at the point where the scattering event occurs, and the amplitude of the electron wave incident at the point. Under Born (the 1st Born) approximation, the scattering amplitude is calculated by replacing the amplitude of the electron wave falling on the point with that of the incident electron wave to the crystal. The scattering amplitude of the electron wave is given by the Fourier coefficient of the crystal potential.
Related Term(s)
Term(s) with "Born approximation" in the description
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