JEE Main · 2021mediumCORD-125

Spin only magnetic moment in BM of [Fe(CO)4(C2O4)]+ is:

Coordination Compounds · Class 12 · JEE Main Previous Year Question

Question

Spin only magnetic moment in BM of [Fe(CO)4(C2O4)]+[\mathrm{Fe(CO)_4(C_2O_4)}]^+ is:

Options
  1. a

    5.92

  2. b

    1

  3. c

    0

  4. d

    1.73

Correct Answerd

1.73

Detailed Solution

🧠 Strong-Field Ligands Around Fe(III) → Low-Spin

[Fe(CO)4(C2O4)]+[\mathrm{Fe(CO)_4(C_2O_4)}]^+: charge balance x+4(0)+(2)=+1x=+3x + 4(0) + (-2) = +1 \Rightarrow x = +3. So Fe(III), d5\mathrm{d^5}.

Ligands: 4 CO (neutral, strong-field, π-acceptor) + oxalate C2O42\mathrm{C_2O_4^{2-}} (bidentate, mid-strong field). Total donor atoms: 4 + 2 = 6 → octahedral.

Strong-field environment forces d5\mathrm{d^5} low-spin: t2g5eg0\mathrm{t_{2g}^5 e_g^0}1 unpaired.

μ=1×3=31.73\mu = \sqrt{1 \times 3} = \sqrt{3} \approx 1.73 BM.

🗺️ Why CO Always Goes Low-Spin

CO is one of the strongest π-acceptor ligands. Its Δo\Delta_o contribution is so large that even d⁵ Fe(III) — which usually goes high-spin with halides or water — pairs up to 1 unpaired.

The "CO + Fe(III) = Low-Spin d⁵" Anchor

Whenever you see CO ligands on Fe(III), expect low-spin: μ1.73\mu \approx 1.73 BM. Same applies to CN⁻ on Fe(III) ([Fe(CN)6]3[\mathrm{Fe(CN)_6}]^{3-}).

⚠️ Oxalate Is Mid-Strength, But CO Dominates

Oxalate alone might give high-spin Fe(III), but when CO is also present, CO's strong field dominates the average ligand-field strength → low-spin.

Answer: (4) 1.73\boxed{\text{Answer: (4) 1.73}}

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