Answer:
The empirical formula of the compound would be [tex]A_2Z_3[/tex]
Explanation:
The A ions are in the body center position and at each corner .
There are 8 faces of the cube and 1 corner is also shared by another 7 cubic unit.
Then number of A ion in a cubic unit = [tex]1+\frac{1}{8}\times 8=2[/tex]
The Z ions are on each face of the cubic unit :
There are 6 faces of the cube and 1 face is shared by another cubic unit.
Then number of Z ions in a cubic unit = [tex]\frac{1}{2}\times 6=3[/tex]
The structural formula of the cubic lattice is =[tex]A_2Z_3[/tex]
Empirical formula is the simplest chemical formula which depicts the whole number of atoms of each element present in the compound.
The empirical formula of the compound would be [tex]A_2Z_3[/tex]