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Q.

In a compound oxide ions have CCP arrangement. Cations  A are present in one-eighth of the tetrahedral holes and cations B occupy half of the octahedral holes. The simplest formula of the compound is

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a

AB2O4

b

A2BO4q

c

ABO2

d

ABO4

answer is A.

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Detailed Solution

In cubic close packing, also known as CCP, the number of atoms per unit cell is 4.

Therefore the number of oxide present per unit cell =4

So, the number of tetrahedral voids =2n =2×4=8

Similarly, the number of octahedral voids =18×8=1

Finally, the number of cations B per unit cell =12×4=2

Hence, the formula for the compound will be in ratio  A:B:O2-=1:2:4  that is AB2O4.

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