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

Atoms of X per unit cell = `8 xx 1/8 = 1`
Atoms of Y per unit cell = 1
Atoms of Z per unit cell = `6 xx 1/2 = 3`
`:.` Formula of the compound is `XYZ_3`.