Distance b/w two miller planes

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SUMMARY

The discussion centers on understanding the distance between two Miller planes in crystallography. The formula for calculating this distance is derived from the relationship between the origin and the nearest plane. It is established that all Miller planes are equally spaced, with at least one plane passing through the origin, which simplifies the visualization of their arrangement. The referenced article provides a foundational explanation for this concept, essential for applications in diffraction and crystallography.

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  • Understanding of Miller indices in crystallography
  • Familiarity with the concept of plane spacing in crystal structures
  • Basic knowledge of diffraction principles
  • Ability to interpret crystallographic diagrams
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  • Study the derivation of the Miller indices formula in detail
  • Explore the application of Miller planes in X-ray diffraction techniques
  • Learn about the geometric interpretation of Miller planes in 3D space
  • Investigate the role of Miller planes in determining crystal symmetry
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Students and professionals in materials science, crystallographers, and anyone involved in the study of crystal structures and their properties.

afrano
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I am having a hard time visualizing the distance b/w two Miller planes. I found this article that has a brief explanation:
http://www.mrl.ucsb.edu/~seshadri/2004_100A/100A_MillerBragg.pdf

which derives the common formula for the distance, which can be used for diffraction/crystallography purposes.

Can someone explain how the distance b/w two miller planes boils down to the distance from the origin to the nearest plane?

Thanks:confused:
 
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Because all miller planes are equally spaced, and there is always one through the origin.
 

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