A compound formed by the elements X and Y has a cubic structure in which X atoms are at the corners of the cube and Y atoms are at the face centres. One atom X is missing from the corner. Calculate the formula of the compound.
Since one X atom is missing
Thus, the number of effective X atoms
= 7 corners x 1/8 per corner atom share
= atoms/unit cell
Again, number of Y atoms
= 6 faces x 1/2 per face atom share
= 3 atoms/unit cell
Since the formula of the compound is equal to the number of X atoms and Y atoms.
Thus, the formula of the compound is
Hence, on simplification, we have
Therefore, ?Option(2) is correct