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Question: In a compound, oxide ions are arranged in cubic close packing arrangement. Cations A occupy one-sixt...

In a compound, oxide ions are arranged in cubic close packing arrangement. Cations A occupy one-sixth of the tetrahedral voids and cations B occupy one-third of the octahedral voids. The formula of the compound is

A

A2BO3

B

AB2O3

C

A2B2O2

D

ABO3

Answer

ABO3

Explanation

Solution

no. of oxide ions = 4

no. of A particles = 16×8\frac{1}{6} \times 8=43\frac{4}{3}

no. of B particles = 13×4\frac{1}{3} \times 4 = 43\frac{4}{3}

so formula is A4/3 B4/3O4 or ABO3