A mineral has molecular formula X Y 2 O 4 . O 2 - ions are arranged in ccp and cations of X are present in octahedral voids. Cations of Y are equally distributed among octahedral and tetrahedral voids

Question

A mineral has molecular formula X Y 2 O 4 . O 2 - ions are arranged in ccp and cations of X are present in octahedral voids. Cations of Y are equally distributed among octahedral and tetrahedral voids. The fraction of the octahedral voids occupied will be

TestHub · Accepted Answer

Number of O 2 - ions = n Number of tetrahedral voids = 2n Number of octahedral voids = n Number of Y ions = n 2 , Number of X ions = n 4 Occupied octahedral voids = n 4 + n 4 = n 2 So fraction of occupied octahedral voids = 1 2 .

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