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CBED Thickness

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by

Andrew Scullion

on 5 October 2015

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Transcript of CBED Thickness

Thanks!
by Andrew Scullion
Thickness Determination using CBED
Convolution Theorem
*
=
.
=
Ewald Construction
the diffraction pattern is the intersection between the Ewald sphere and the Fourier transform of the crystal
Kinematic Approximation
Infinite crystal
Point-like potentials
Beam is plane wave
Infinite crystal
Realistic potentials
Beam is plane wave
Finite Thickness
Realistic potentials
Beam is plane wave
Finite Thickness
Realistic potentials
Beam is convergent
tiny sinc functions!
2
Interference
Bragg condition is only satisfied when α=θ
in phase
out of
phase
Amplitude:
Deviation parameter
Dynamical Theory
Howie-Whelan equation
1/D
increasing radius of integration
Solution:
The Experiment
1
2
3
4
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Full transcript