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

Options

A. `XY_(2)Z_(1)`
B. `XYZ_(3)`
C. `X_(2)Y_(2)Z_(3)`
D. `X_(8)YZ_(6)`

Answer

B

Explanation

Atoms of X per unit cell `=8xx(1)/(8)=1`
Atoms of Y per unit cell `=1`
Atoms of Z per unit cell `=6xx(1)/(2)=3`
Hence the formula is `XYZ_(3)`.