X-ray and electron microscope diffraction patterns

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SUMMARY

X-ray and electron microscope diffraction patterns do not directly correspond to the positions of atoms; instead, they represent positions in reciprocal space. The dark spots in X-ray diffraction patterns and the bright spots in electron diffraction patterns indicate orientations of atomic planes that satisfy the Bragg condition for reflection. This understanding is crucial for interpreting diffraction data accurately, as it emphasizes the role of reciprocal space and Fourier transforms in crystallography.

PREREQUISITES
  • Understanding of Bragg's Law in crystallography
  • Familiarity with reciprocal space concepts
  • Knowledge of Fourier transforms in the context of diffraction
  • Basic principles of electron microscopy
NEXT STEPS
  • Study the application of Bragg's Law in X-ray diffraction analysis
  • Learn about reciprocal lattice vectors in crystallography
  • Explore Fourier transform techniques in diffraction pattern analysis
  • Investigate the differences between X-ray and electron diffraction methods
USEFUL FOR

Researchers in materials science, physicists studying crystallography, and professionals utilizing X-ray or electron microscopy for structural analysis will benefit from this discussion.

jbar18
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Hey,

I'm having trouble finding a clear answer anywhere. When you have a x-ray diffraction pattern, do the dark spots correspond to the positions of atoms? Or do they represent the position of atoms in reciprocal space or something like that? It would seem natural to assume that the peaks are the atoms themselves but I keep seeing reciprocal space and Fourier transforms coming up wherever I look and so I don't want to assume anything.

One other thing, is this the same for the bright spots in an electron diffraction pattern?

Thanks
 
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Whether the spots are dark or bright depends on the detection technique. I suppose you are referring to spots on photographic film in the case of X-rays and spots on a fluorescent screen in the case of electron diffraction?
In both cases the spots don't belong to the real atoms but to positions in reciprocal space.
That means there is a spot whenever planes formed by the atoms have such an orientation with respect to the incident radiation that the Bragg condition for reflection is fulfilled.
 
jbar18 said:
Hey,

I'm having trouble finding a clear answer anywhere. When you have a x-ray diffraction pattern, do the dark spots correspond to the positions of atoms? Or do they represent the position of atoms in reciprocal space or something like that? It would seem natural to assume that the peaks are the atoms themselves but I keep seeing reciprocal space and Fourier transforms coming up wherever I look and so I don't want to assume anything.

One other thing, is this the same for the bright spots in an electron diffraction pattern?

Thanks

Hi,

For electron microscope diffraction patterns (DP), the each bright spot corresponds to the reflection formed by the plan formed by atoms. And the distance between spots are in inverse, i.e. as DrDU said they are recriprocal distance. [some reflections are forbidden in electron microscope DPs!].
 

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