A compound formed by elements X and Y crystallizes in a cubic lattice, where X atoms are at corners and Y atoms are at the body centre and face centres of the cube. What is the formula of the compound?

XY XY2 X2Y5 XY4

XY4

X atoms are at corners = \(\frac{1}{8}\) x 8 = 1 Y atoms are at the body centre and face centres of the cube = 1 + \(\frac{1}{2}\) x 6 = 4 X:Y = 1:4 The formula of compound is X1Y4