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In solid, oxide ions are arranged in ccp...

In solid, oxide ions are arranged in ccp. One sixth of the tetrahedral voids are occupied by the cations (A) while one third of the octahedral voids, are occupied by the cations (B). What is the formula of the compound ?

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To determine the formula of the compound based on the arrangement of oxide ions and the occupancy of the tetrahedral and octahedral voids, we can follow these steps: ### Step 1: Understand the arrangement of oxide ions In the given problem, the oxide ions (O²⁻) are arranged in a cubic close-packed (ccp) structure. In a ccp structure, the number of lattice points (or atoms) is 4. ### Step 2: Calculate the number of tetrahedral and octahedral voids - **Tetrahedral voids**: The number of tetrahedral voids in a ccp structure is given by the formula \(2n\), where \(n\) is the number of lattice points. Since \(n = 4\), the number of tetrahedral voids is: \[ ...
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