Question:hard

Which of the following molecular formula and type of defect are correct for the following statement? ``In FeO crystal, some \(Fe^{2+}\) ions are missing and the loss of positive charge is made up by the presence of \(Fe^{3+}\) ions.''

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Metal deficiency defects are common in transition metal compounds. They arise when some metal ions are missing and charge balance is maintained by the presence of metal ions in higher oxidation states.
Updated On: Jun 26, 2026
  • \(Fe_{0.95}O\) and metal excess defect
  • \(Fe_{1.05}O\) and metal deficiency defect
  • \(Fe_{0.95}O\) and metal deficiency defect
  • \(Fe_{1.05}O\) and metal excess defect
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The Correct Option is C

Solution and Explanation

Step 1: Understand the problem setup.
In the FeO crystal (ideal formula), some Fe2+ ions are missing from their lattice sites. To maintain electrical neutrality (since each missing Fe2+ leaves an excess negative charge from surrounding O2- ions), other iron atoms compensate by adopting the Fe3+ oxidation state.

Step 2: Set up the charge balance for Fe0.95O.
The actual formula is Fe0.95O, meaning there are only 0.95 iron atoms per oxygen atom instead of the expected 1.00. Let y be the number of Fe3+ ions among the 0.95 total Fe ions. The rest are Fe2+ ions, so Fe2+ count = (0.95 - y).

Step 3: Apply electrical neutrality condition.
For each formula unit of Fe0.95O, the O2- ion carries a charge of -2. The total positive charge from iron must equal +2: \[ 2(0.95 - y) + 3y = 2 \] \[ 1.90 - 2y + 3y = 2 \] \[ 1.90 + y = 2 \] \[ y = 0.10 \]

Step 4: Interpret the result.
So 0.10 of the iron ions are Fe3+ and 0.85 are Fe2+, totalling 0.95 iron ions per oxygen. This means 5 out of every 100 Fe2+ sites are vacant, and to compensate, 10 Fe2+ ions have been oxidised to Fe3+ (each Fe3+ compensates for 0.5 missing Fe2+ in terms of charge).

Step 5: Identify the type of defect.
This is a metal deficiency defect (a type of non-stoichiometric defect). It occurs because iron has a variable oxidation state (can be Fe2+ or Fe3+). Cation (Fe2+) sites are vacant in the lattice, and some Fe3+ ions substitute for Fe2+ to maintain charge balance. The crystal remains electrically neutral but the metal-to-anion ratio is less than 1 (metal deficient). This also makes FeO a p-type semiconductor.

Step 6: State the final answer.
The formula is Fe0.95O, and it exhibits a metal deficiency defect (non-stoichiometric defect with cation vacancies compensated by higher-valence cations).
\[ \boxed{\text{Fe}_{0.95}\text{O, metal deficiency defect}} \]
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