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The Solid State

Question
CBSEENCH12010037

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.