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

(a) X3Y4 

(b) X4Y3

(c) X2Y3 

(d) X2Y

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1 Answers

(b) : 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
= 2/3rd of the tetrahedral void = 2/3 × 8 = 16/3
Hence the formula of the compound will be
X16/3 Y4 = X4 Y3

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