32 point group system mmm in Orthorhombic crystal

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SUMMARY

The discussion focuses on the 32 point group system "mmm" in orthorhombic crystals, specifically addressing the symmetry and unique planes associated with this group. It is established that there are five diads resulting in ten unique planes. The user seeks clarification on determining the exact planes from a given plane, such as (210), which requires knowledge of atomic coordinates within the crystal structure.

PREREQUISITES
  • Understanding of crystallography and symmetry operations
  • Familiarity with orthorhombic crystal systems
  • Knowledge of Miller indices for crystallographic planes
  • Basic skills in interpreting atomic coordinates in crystal structures
NEXT STEPS
  • Research the application of symmetry operations in crystallography
  • Learn how to derive unique planes from Miller indices in orthorhombic systems
  • Study the role of atomic coordinates in determining crystal symmetry
  • Explore software tools for visualizing crystal structures and symmetry, such as VESTA or CrystalMaker
USEFUL FOR

Crystallographers, materials scientists, and students studying solid-state physics who are interested in the symmetry and structural properties of orthorhombic crystals.

daskywalker
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32 point group system "mmm" in Orthorhombic crystal

Hello,
I am trying to understand the mmm symmetry in a orthorhombic crystal. Looking from the diagram I know there are 5 diads which will give me 10 unique planes in the same form. But how do I know the exact planes that are in the form given one of them (lets say, 210)
 
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You need the coordinates of the atoms.
 

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