In a compound, atoms of element Y form ccp lattice

• States Matter

In a compound, atoms of element Y form ccp lattice and those of element X occupy 2/3^rd of tetrahedral voids. The formula of the compound will be

1. X₂Y
2. X₃Y₄
3. X₄Y₃
4. X₂Y₃

Answer

Number of Y atoms per unit cell in ccp lattice (N) = 4

Number of tetrahedral voids = 2N = 2 × 4 = 8

Number of tetrahedral voids occupied by X = 2/3^rd of the tetrahedral void = 2/3 × 8 = 16/3

Hence, the formula of the compound will be X_16/3Y₄

= X₄Y₃

The correct option is C.