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 ?

A solid compound contains X,Y and Z atoms in a cubic lattice with X at

1.	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 ?
Answer» `XY_(2)Z_(3)` `XYZ_(3)` `X_(2)T_(2)Z_(3)` `X_(8)YZ_(6)` SOLUTION :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)`