Chemistry - Solid State Question with Solution | TestHub

Number of X-atoms in unit cell = 4
Number of Y-atoms = 4
Number of Z atoms = 8
If atoms along one body diagonal are removed then 2 from corners X, 1 from body center Y and 2 neat two corners Z atoms will be absent.
Effective number of atoms may be calculated as
$\mathrm{X}=4-2\times \frac{1}{8}=\frac{15}{4}$
$\mathrm{Y}=4-1=3$
$\mathrm{Z}=8-2=6$
Simplex ratio$=\mathrm{X}:\mathrm{Y}:\mathrm{Z}$
$=\frac{15}{4}:3:6$
$=5:4:8$
Simplest formula$={\mathrm{X}}_5{\mathrm{Y}}_4{\mathrm{Z}}_8$.