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_(3)`
B. `XYZ_(3)`
C. `X_(2)T_(2)Z_(3)`
D. `X_(8)YZ_(6)`

Answer

B

Explanation

Atoms of X per unit cell `=(8times1)/8=1`
Atoms of Y per unit cell =1
Atoms of Z per unit cell `=6times1/2=3`
`therefore` the formula of the compound is `XYZ_(3)`