JEE Main · 2025 · Shift-IImediumCORD-242

The correct order of [FeF6]3-, [CoF6]3-, [Ni(CN)4]2- and [Ni(CO)4] complexes based on the number of unpaired electrons…

Coordination Compounds · Class 12 · JEE Main Previous Year Question

Question

The correct order of [\ceFeF6]3[\ce{FeF6}]^{3-}, [\ceCoF6]3[\ce{CoF6}]^{3-}, [\ceNi(CN)4]2[\ce{Ni(CN)4}]^{2-} and [\ceNi(CO)4][\ce{Ni(CO)4}] complexes based on the number of unpaired electrons present is:

Options
  1. a

    [\ceFeF6]3>[\ceCoF6]3>[\ceNi(CN)4]2=[\ceNi(CO)4][\ce{FeF6}]^{3-} > [\ce{CoF6}]^{3-} > [\ce{Ni(CN)4}]^{2-} = [\ce{Ni(CO)4}]

  2. b

    [\ceNi(CN)4]2>[\ceFeF6]3>[\ceCoF6]3>[\ceNi(CO)4][\ce{Ni(CN)4}]^{2-} > [\ce{FeF6}]^{3-} > [\ce{CoF6}]^{3-} > [\ce{Ni(CO)4}]

  3. c

    [\ceCoF6]3>[\ceFeF6]3>[\ceNi(CO)4]=[\ceNi(CN)4]2[\ce{CoF6}]^{3-} > [\ce{FeF6}]^{3-} > [\ce{Ni(CO)4}]^{} = [\ce{Ni(CN)4}]^{2-}

  4. d

    [\ceFeF6]3>[\ceCoF6]3>[\ceNi(CN)4]2=[\ceNi(CO)4][\ce{FeF6}]^{3-} > [\ce{CoF6}]^{3-} > [\ce{Ni(CN)4}]^{2-} = [\ce{Ni(CO)4}]

Correct Answerd

[\ceFeF6]3>[\ceCoF6]3>[\ceNi(CN)4]2=[\ceNi(CO)4][\ce{FeF6}]^{3-} > [\ce{CoF6}]^{3-} > [\ce{Ni(CN)4}]^{2-} = [\ce{Ni(CO)4}]

Detailed Solution

🧠 Count Unpaired Electrons in Each Complex

🗺️ Evaluate

| Complex | Metal/d-config | Geometry/Spin | Unpaired | |---|---|---|---| | [FeF6]3[\mathrm{FeF_6}]^{3-} | Fe(III) d⁵, F⁻ weak → HS | Oct, t2g3eg2t_{2g}^3 e_g^2 | 5 | | [CoF6]3[\mathrm{CoF_6}]^{3-} | Co(III) d⁶, F⁻ weak → HS | Oct, t2g4eg2t_{2g}^4 e_g^2 | 4 | | [Ni(CN)4]2[\mathrm{Ni(CN)_4}]^{2-} | Ni(II) d⁸, CN⁻ strong | Sq pl, dxy2dxz2dyz2dz22d_{xy}^2 d_{xz}^2 d_{yz}^2 d_{z^2}^2 | 0 | | [Ni(CO)4][\mathrm{Ni(CO)_4}] | Ni(0) d¹⁰ | Td (CO strong forces low-spin sp³) | 0 |

🗺️ Order

5>4>0=05 > 4 > 0 = 0[FeF6]3>[CoF6]3>[Ni(CN)4]2=[Ni(CO)4][\mathrm{FeF_6}]^{3-} > [\mathrm{CoF_6}]^{3-} > [\mathrm{Ni(CN)_4}]^{2-} = [\mathrm{Ni(CO)_4}].

Sq Pl Ni(II) Always Diamagnetic

For Ni(II) with strong-field ligands like CN⁻, sq pl forms with d⁸ all paired in 4 lowest orbitals → diamagnetic. Td Ni(II) (with weak field) has 2 unpaired (e4t24e^4 t_2^4).

⚠️ Ni(0) is d¹⁰

Ni(CO)₄ is Ni(0), d¹⁰, fully filled — diamagnetic regardless of geometry.

Answer: (4) [FeF6]3>[CoF6]3>[Ni(CN)4]2=[Ni(CO)4]\boxed{\text{Answer: (4) } [\mathrm{FeF_6}]^{3-} > [\mathrm{CoF_6}]^{3-} > [\mathrm{Ni(CN)_4}]^{2-} = [\mathrm{Ni(CO)_4}]}

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