What is the formula of a compound in which the element B forms CCP lattice and atom of a occupy 1/3rd of tetrahedral voids?

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?

Number of tetrahedral voids formed = 2 × Number of atoms of element Y

Number of atoms of element Y in the ccp unit cell = 4

Number of tetrahedral voids formed = 2 × 4 = 8

Number of tetrahedral voids occupied by atoms of X = (1/3) × 8 = 8/3

Ratio of the numbers of atoms of X and Y = 8/3 : 4=2 : 3

Hence, the formula of the compound is X2Y3.

Concept: Crystal Lattices and Unit Cells

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