A What is the Wigner–Seitz cell of diamond?

[Urza_tron]

Hi everybody,
I'm struggling with some solid state physics topics. I am dealing with the Carbon diamond crystal structure, which is basically made of 2 FCC compenetrated. I really cannot visualize the Wigner–Seitz cell of this structure, is it possible to do it? I was thinking about visualizing the diamond conventional cell as an FCC where each basis is made of two C atoms, but I don't know if it's correct.
Is there someone who could help me to visualize it?

 

[Baluncore]

Welcome to PF.

https://en.wikipedia.org/wiki/Diamond_cubic
https://en.wikipedia.org/wiki/Wigner–Seitz_cell

 

[TeethWhitener]

https://en.m.wikipedia.org/wiki/Triakis_truncated_tetrahedral_honeycomb
The Wigner Seitz cell for diamond isn’t trivial.

 

[Urza_tron]

https://en.m.wikipedia.org/wiki/Triakis_truncated_tetrahedral_honeycomb
The Wigner Seitz cell for diamond isn’t trivial.

This is the geometry of the weigner seitz cell for crystal, but how can I visualize it inside of the conventional diamond cell? I can't see how is it shaped inside the conventional cell in order to obtain a cell that contain only one lattice point. And further more, when we consider the lattice point of a diamond like cell, are we considering a lattice point made of 1 or 2 atoms?

 

[Urza_tron]

Welcome to PF.

https://en.wikipedia.org/wiki/Diamond_cubic
https://en.wikipedia.org/wiki/Wigner–Seitz_cell

Okay but Wikipedia says that the tetrahedral cell is the unit cell of diamond, but it's not completely accurate. The unit cell one usually refers to is the 2 FCC compenetrated structure. What I'm trying to understand is the drawing of the primitive cell inside of a diamond crystal, how many atoms are we considering per lattice point and how can it contain only one lattice point in a so complex structure.