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in Chemistry by (72.3k points)

In a crystalline solid, having formula AB2O4, oxide ions are arranged in cubic close packed lattice while cations A are present in tetrahedral voids and cations B are present in octahedral voids 

(i) What percentage of the tetrahedral voids is occupied by A? 

(ii)What percentage of the octahedral voids is occupied by B?

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In a cubic close packed lattice of oxide ions there would be two tetrahedral voids and one octahedral void for each oxide ion. 

∴ For four oxide ions there would be 8 tetrahedral and four octahedral voids out of which one tetrahedral void is occupied by A and two octahedral voids are occupied by B.

% of tetrahedral voids occupied by A = 1/8 x 100 = 12.5%

% of octahedral voids occupied by B = 2/4 x 100 = 50%

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