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_2Z_3`
B. `XYZ_3`
C. `X_2Y_2Z_3`
D. `X_8YZ_6`

Answer

B

Explanation

Number of X atoms per unit cell `=1/8xx8=1`
and number of Z atoms per unit cell `=1/2xx6=3`
Hence , the formula of compound `=XYZ_3`