Q.

In a cubic close packed structure of mixed oxide, the oxide ions are in CCP arrangement 1/6 of tetrahedral voids are occupied by cations 'A' and 1/2 of octahedral voids are occupied by cations 'B'. The formula of the oxide is

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a

ABO2

b

A2B3O6

c

A2BO2

d

A2B2O

answer is D.

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Detailed Solution

(O-2) Oxide ions in ccp = 4

(A)No. of tetrahedral voids = 2n =2(4) =8

1/6 of tetrahedral voids = 1/6 ×8 = 43

(B)No of octahedral voids = n =4

1/2 of otahedral voids = 1/2 ×4 = 2

A :B :O-2 =43 :2 :4

               = 4 :6:12

               =2 :3 :6

The formula of the oxide is A2B3O6

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