32 point group system mmm in Orthorhombic crystal

AI Thread Summary
The discussion focuses on understanding the mmm symmetry in orthorhombic crystals, specifically how to identify unique planes from a given plane like (210). It notes that there are five diads leading to ten unique planes in this symmetry system. The key challenge highlighted is determining the exact planes associated with a specific plane without the coordinates of the atoms. The need for atomic coordinates is emphasized as crucial for accurately identifying these planes. Understanding this relationship is essential for studying the 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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