High symmetry directions in a two-dimensional oblique crystal

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    Crystal Symmetry
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SUMMARY

The discussion focuses on identifying high symmetry directions in two-dimensional oblique crystals, which are often overlooked in literature that primarily addresses hexagonal or square crystals. Participants express a need for visual aids, specifically a figure of the Brillouin zone with labeled high symmetry points. The lack of comprehensive resources on this topic highlights a gap in available academic materials, emphasizing the necessity for further exploration and documentation of oblique crystal structures.

PREREQUISITES
  • Understanding of Brillouin zones in solid-state physics
  • Familiarity with two-dimensional crystal structures
  • Knowledge of symmetry operations in crystallography
  • Basic concepts of band theory and electronic properties of materials
NEXT STEPS
  • Research Brillouin zone construction for oblique crystal lattices
  • Study symmetry operations specific to two-dimensional materials
  • Explore computational tools for modeling crystal structures, such as VASP or Quantum ESPRESSO
  • Investigate existing literature on electronic properties of oblique crystals
USEFUL FOR

Researchers in condensed matter physics, crystallographers, and materials scientists interested in the properties and applications of two-dimensional oblique crystals.

D_K_
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What are the high symmetry directions for a two-dimensional oblique crystal? Please provide a figure of the corresponding Brillouin zone with high symmetry points labelled.
 
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I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
 
One 2D oblique crystal is like any other 2D oblique crystal. No examples will be particularly useful. I asked because I couldn't find any books giving the answer. Most limit themselves to hexagonal or square crystals but skip the oblique one.
 

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