Brillouin Zones: Primitive Reciprocal Lattice Vectors

[Assaf Peled]

Hi fellows,

An FCC lattice has one atom per unit cell and a set of primitive vectors. Its 1st BZ has its distinctive 3D shape, set explicitly by the Wigner-seitz cell in the reciprocal space.

What if we have a zinc-blende (GaAs) lattice with 2 atoms per unit cell?
How are the primitive reciprocal lattice vectors defined for a unit cell with a basis? Consequently, how is the Wigner-Seitz cell defined in the reciprocal space ?

Thanks

 

[DrDu]

The change of the content of the unit cell changes neither the direct nor the reciprocal lattice. Hence also the Wigner Seitz cell will remain unchanged.