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कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

Ferric oxide crystallises in a hexagonal close-packed array of oxide ions with two out of every three octahedral holes occupied by ferric ions. Derive the formula of the ferric oxide.

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प्रश्न

Ferric oxide crystallises in a hexagonal close-packed array of oxide ions with two out of every three octahedral holes occupied by ferric ions. Derive the formula of the ferric oxide.

व्युत्पत्ती
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उत्तर

In hexagonal close packing (hcp), the quantity of octahedral voids is equivalent to the number of constituent particles.

Fe3+ ions occupy two thirds of the octahedral voids in ferric oxide, while O2+ ions form the cubic close-packed structure. If there are nO2−ions in the unit cell, the quantity of Fe3+ ions per unit cell would be `(2 n)/3`.

Hence, formula of ferric oxide = `((2 n)/3)` Fe3+ . (n) O2−

= Fe2nO3n

= Fe2O3

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Close Packed Structures of Solids
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