Could XY crystal be a special case of X2YZ crystal?

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SUMMARY

The discussion confirms that XY type crystals, such as NaCl, can indeed be considered special cases of X2YZ type crystals by setting Y equal to Z. It highlights that Si (X-type) can be viewed as a specific instance of the GaAs (XY) type. Additionally, it addresses the phenomenon of order-disorder phase transitions, exemplified by beta-brass, where the occupancy of the X-position varies with temperature, illustrating the complexity of these crystal structures.

PREREQUISITES
  • Understanding of crystal structures, specifically XY and X2YZ types.
  • Knowledge of phase transitions in materials science.
  • Familiarity with examples of crystals like NaCl and GaAs.
  • Basic concepts of atomic occupancy and temperature effects on crystal formation.
NEXT STEPS
  • Research the properties and applications of NaCl and GaAs crystals.
  • Study order-disorder phase transitions in materials science.
  • Explore the implications of temperature on atomic occupancy in crystal lattices.
  • Investigate more complex crystal structures and their classifications.
USEFUL FOR

Materials scientists, crystallographers, and students studying solid-state physics who are interested in the relationships between different crystal types and their behaviors under varying conditions.

qnach
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There are some types of crystals we call them XY type (i.e. NaCl) or X2YZ type? Could XY type be a special case of X2YZ type by assigning Y=Z?
 
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Yes.
you could see Si (X-type) as a special type of the GaAs (XY) type.
There are even order-disorder phase transitions where at high temperature the X-position is filled with 50% atom A and 50% atom B, and at low temperature X=100% A and Y=100% B. Beta-brass is an example. More complicated versions exist, and I am sure you can find XY <--> X2YZ
 

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