HARDMCQ SINGLEIChO (Chemistry Olympiad)Inorganic ChemistrySolid stateAchiever Section

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.X4Y₃✓ Correct
B.X2Y₃
C.X2Y
D.X3Y₄
Explanation

Y occupies CCP lattice hence the effective number of Y = 4 (effective no of atoms in CCP is 4) X occupies 2/3 of tetrahedral voids. Number of tetrahedral voids generated in any unit cell is = 2Z (twice of an effective number of atoms in unit cell) 2 4 8 x Since X occupies 2/3 of tetrahedral voids, so Effective number of X= 2 16 ×8= 3 3 The formulae will be 4 3 X Y Hence the correct answer is option (a)

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