Question
What is the formula of a compound in which the element Y forms ccp lattice and atoms of X occupy 1/3rd of tetrahedral voids?
Solution
Number of tetrahedral voids formed = 2 x Number of atoms of element Y
Number of atoms of element Y in the ccp unit cell = 4
Number of tetrahedral voids formed = 2 x 4 = 8
Number of tetrahedral voids occupied by atoms of X = 1/3x8
Ratio of the numbers of atoms of X and Y = 8/3: 4 =2: 3
Hence, the formula of the compound is X2Y3.