A solid compound contains X,Y and Z atoms in a cubic lattice with X atoms occupying the corners ,Yatoms in the body centred position and Z atoms at the centre of the faces of the unit cell .What is the empirical formula of the compound?

Options

A. `XY_(2)Z_(3)`
B. `XYZ_(3)`
C. `X_(2)Y_(2)Z_(3)`
D. `X_(8)YZ_(6)`

Answer

B

Explanation

Number of atoms of X in a unit cell `=(1)/(8)xx8=1`
Number of atoms of Y in a cell =1
Number of atoms of Z in a unit cell `=(1)/(2)xx6=3`
Empirical formula of the compound `=XYZ_(3)`