Hexagonal lattice in reciprocal space

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SUMMARY

The discussion focuses on determining the reciprocal coordinates of the K and M points within a simple hexagonal Brillouin zone. The user possesses the lattice and reciprocal vectors but is struggling to accurately calculate the coordinates for the K point, located at the corner of the hexagon, and the M point, situated halfway between two K points. The provided link to a crystallography tool may assist in resolving these coordinates.

PREREQUISITES
  • Understanding of hexagonal lattice structures
  • Familiarity with Brillouin zone concepts
  • Knowledge of reciprocal lattice vectors
  • Experience with crystallography software tools
NEXT STEPS
  • Research the calculation of reciprocal lattice vectors in hexagonal systems
  • Explore the use of crystallography tools like the one at http://www.cryst.ehu.es
  • Learn about the significance of K and M points in band structure calculations
  • Study the geometry of hexagonal Brillouin zones
USEFUL FOR

Physicists, materials scientists, and crystallographers who are involved in solid-state physics and band structure analysis will benefit from this discussion.

lyon0100
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Can anyone help me find the reciprical coordinates of the K and M points in a simple hexagonal brilloiun zone? I have the lattice vectors and the reciprocal vectors, but I can't get the right coords (in recip coords) for the K point (the corner of the hexagon) and the M point (half way between 2 K points).
Thanks so much
 
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