Find the Rhombohedral Structure High-Symmetry Points of Bismuth

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SUMMARY

The discussion focuses on determining the high-symmetry points of the first Brillouin zone for the rhombohedral structure of bismuth. Participants emphasize the necessity of understanding the geometrical properties of reciprocal lattices and their relationship with direct lattices. Additionally, knowledge of crystalline lattice metrics is deemed essential for accurately identifying these high-symmetry points. The conversation highlights the complexity of the topic and the foundational concepts required for effective analysis.

PREREQUISITES
  • Geometrical properties of reciprocal lattices
  • Direct lattice concepts
  • Metrics of crystalline lattices
  • Understanding of Brillouin zones
NEXT STEPS
  • Research the calculation methods for high-symmetry points in Brillouin zones
  • Study the relationship between reciprocal and direct lattices
  • Explore advanced concepts in crystalline lattice metrics
  • Learn about computational tools for visualizing Brillouin zones
USEFUL FOR

Physicists, materials scientists, and crystallographers interested in the analysis of bismuth and other rhombohedral structures in solid-state physics.

unica
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Hello, everyone, can you give me the details of how to figure out the high-symmetry points of the first Brillouin zone of rhombohedral structure, such as bismuth? Thank you.
 
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unica said:
Hello, everyone, can you give me the details of how to figure out the high-symmetry points of the first Brillouin zone of rhombohedral structure, such as bismuth? Thank you.

It seems that nobody fully understands your questions.
Do you master the geometrical properties of a reciprocal lattice, and it links with the direct lattice ? Do you master the metrics of crystalline lattices ?
 

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