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JEE Advanced levelSingle correct optionDifficulty 3 of 3ss085

Anions $X$ form a ccp lattice. Cations $A$ occupy half of the tetrahedral voids and cations $B$ occupy half of the octahedral voids. The formula is

A $ABX$
B $A X_{2} BX X_{2}$
C $AB X_{2} X X_{2}$
D $A X_{2} BX$

Answer: B

Per

X

there are 2 tetrahedral and 1 octahedral void.

A = \frac{1}{2} \times 2 = 1

,

B = \frac{1}{2} \times 1 = 0.5

. Ratio

A : B : X = 1 : 0.5 : 1 = 2 : 1 : 2

, so

A X_{2} BX X_{2}

.

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