In a compound ,oxide ions are arranged in cubic close packing arrangement. Cation ‘A’ occupy one-sixth of the tetrahedral voids and ‘B’ occupy one-third of the octahedral voids then the molecular formula of the compound is
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a
A2B4O3
b
AB2O3
c
A2B3O4
d
ABO3
answer is D.
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Detailed Solution
In one unit cellnumber of O-2 ions in ccp=4No. of A ions =16×(tetrahedral voids)Number of 'A' ions=16×(8)=43No. of B ions=13×(octahedral voids)Number of ‘B’ ions =13×(4)=43Number of ‘O’ =8x18+6x12=1+3=4Molecular formula of the compound is=A43B43O4 =ABO3