Contribution of X = 1/8 x 8 = 1 (8 corners)
Contribution of oxygen = 1/4 x 12 = 3(edges)
Contribution of sodium = 1 (centre)
Hence X : O : Na = 1 : 3 : 1
Hence formula is NaXO3.
A crystalline solid in which X atoms are located at the cube corners of the unit cell, oxygen atoms are located at the cube edges and sodium atoms at the cube centre. The molecular formula of the compound will be
(a) NaXO3
(b) Na2XO3
(c) NaX3O3
(d) NaXO4
Ans shud be A..
contribution by corner cells = 1/8 so total atoms = 1
contribution by edges = 1/4 so total atoms = 3
Contribution of X = 1/8 x 8 = 1 (8 corners)
Contribution of oxygen = 1/4 x 12 = 3(edges)
Contribution of sodium = 1 (centre)
Hence X : O : Na = 1 : 3 : 1
Hence formula is NaXO3.
Ans would be (D) if there were 16 edges of cube..lol...each edge contributes 1/4th and there are only 12 edges of cube.