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by Ciro Santilli (@cirosantilli, 37)

Crystallographic restriction theorem

 ... Natural science Physics Condensed matter physics Solid-state physics Crystallography Point group
 1 By others on same topic  0 Discussions  Updated 2025-06-17  +Created 1970-01-01  See my version

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Crystallographic restriction theorem by Wikipedia Bot 0  1970-01-01
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The Crystallographic Restriction Theorem is a concept in the field of crystallography and solid state physics that describes certain symmetries in crystalline materials. It states that the symmetry operations of a crystal, such as rotations, translations, and reflections, impose restrictions on the types of point groups that can be realized in three-dimensional space. More specifically, the theorem states that the only symmetry operations allowed for a crystal lattice in three dimensions must be compatible with the periodicity of the lattice.
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