Derive Primitive Vectors in Complex Crystal Structure

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SUMMARY

This discussion focuses on deriving primitive vectors for complex crystal structures, specifically for cuprous oxide (Cu2O), titanium oxide (anatase), and zinc oxide. The participants emphasize the importance of consulting the space group, particularly the Schoenflies notation, to determine the relationship between conventional and primitive unit cells. For cuprous oxide, which has a cubic structure, the derivation involves understanding the unique directions and magnitudes influenced by the presence of oxygen. The reference to Busing and Levy's work in Acta Cryst. provides a foundational approach for calculating unit cell vectors using lattice parameters and angles.

PREREQUISITES
  • Understanding of crystal structures and unit cells
  • Familiarity with Schoenflies notation and space groups
  • Knowledge of lattice parameters and angles
  • Access to crystallographic literature, specifically Busing and Levy's work
NEXT STEPS
  • Research the Schoenflies notation for various space groups
  • Study the derivation of primitive vectors in cubic crystal structures
  • Examine the crystallographic properties of titanium oxide (anatase) and zinc oxide
  • Review Busing and Levy's methods in Acta Cryst. for calculating unit cell vectors
USEFUL FOR

Crystallographers, materials scientists, and researchers involved in solid-state chemistry who are working on complex crystal structures and require a deeper understanding of primitive vector derivation.

ralden
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Hi Guys, please help me. how can i derive the primitive vector of copper oxide (I)? basically this is cuprous oxide having a cubic crystal structure but since it has oxygen in it the directions and magnitude of primitive vector are far different compare to basic cubic structure. also please help me to figure out the primitive vector of Titanium oxide (anatase), and Zinc oxide. thanks :)
 
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I don't understand the problem.

You look up the space group. The first letter of the Schoenfliess name tells you the relation between the conventional and primitive unit cell:

P: the same
I: Body centered
F: Face centered (cubic)
...

Then you can derive the unit cell vectors using the lattice parameters and angles, see, e.g. Busing and Levy, Acta Cryst. vol 22, pp 457 (1967).

http://scripts.iucr.org/cgi-bin/paper?a05492
 

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