I Could XY crystal be a special case of X2YZ crystal?

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The discussion explores the relationship between XY type crystals, like NaCl, and X2YZ type crystals, suggesting that XY could be a special case of X2YZ by setting Y equal to Z. It highlights that Si can be viewed as a specific instance of the GaAs (XY) type. The conversation also mentions order-disorder phase transitions, where the occupancy of atomic positions changes with temperature, exemplified by beta-brass. Additionally, it notes the existence of more complex variations of this relationship. The conclusion reinforces the potential for finding connections between XY and X2YZ crystal structures.
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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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