In a solid, oxide ions are arranged in ccp. One -sixth of the tetrahedral voids are occupied by the cations A while one -third of the octahdral voids are occupied by the cations B. what is the formula of the compound ?

In a solid, oxide ions are arranged in ccp. One -sixth of the tetrahed

1.	In a solid, oxide ions are arranged in ccp. One -sixth of the tetrahedral voids are occupied by the cations A while one -third of the octahdral voids are occupied by the cations B. what is the formula of the compound ?
Answer» Solution :Suppose `O^(2-)`ions =n. Then octahedral VOIDS= n and tetrahedral voids=2n . Cations ` A = 1/6xx 2n =n/3 and" contions "B = 1/3 XX n = n/3` Ratio` A : B : O^(2-)- n/3 : n/3: n = 1:1 : 3 ` i.e, formula is ` ABO_(3)`