JEE Main · 2025 · Shift-IImediumCORD-249

The number of unpaired electrons responsible for the paramagnetic nature of the following complex species are…

Coordination Compounds · Class 12 · JEE Main Previous Year Question

Question

The number of unpaired electrons responsible for the paramagnetic nature of the following complex species are respectively:

[Fe(CN)6]3[\text{Fe(CN)}_6]^{3-}, [FeF6]3[\text{FeF}_6]^{3-}, [CoF6]3[\text{CoF}_6]^{3-}, [Mn(CN)6]3[\text{Mn(CN)}_6]^{3-}

Options
  1. a

    1, 5, 4, 2

  2. b

    1, 5, 5, 2

  3. c

    1, 1, 4, 2

  4. d

    1, 4, 4, 2

Correct Answera

1, 5, 4, 2

Detailed Solution

🧠 Count Unpaired Electrons in Each

🗺️ Evaluate

| Complex | Metal/d-config | Field | Spin | Configuration | Unpaired | |---|---|---|---|---|---| | [Fe(CN)6]3[\mathrm{Fe(CN)_6}]^{3-} | Fe(III) d⁵ | strong (CN⁻) | LS | t2g5eg0t_{2g}^5 e_g^0 | 1 | | [FeF6]3[\mathrm{FeF_6}]^{3-} | Fe(III) d⁵ | weak (F⁻) | HS | t2g3eg2t_{2g}^3 e_g^2 | 5 | | [CoF6]3[\mathrm{CoF_6}]^{3-} | Co(III) d⁶ | weak (F⁻) | HS | t2g4eg2t_{2g}^4 e_g^2 | 4 | | [Mn(CN)6]3[\mathrm{Mn(CN)_6}]^{3-} | Mn(III) d⁴ | strong (CN⁻) | LS | t2g4eg0t_{2g}^4 e_g^0 | 2 |

Sequence: 1, 5, 4, 2.

LS d⁴/d⁵/d⁶ Unpaired Counts

| d-config | LS unpaired | HS unpaired | |---|---|---| | d⁴ | 2 (t2g4t_{2g}^4) | 4 (t2g3eg1t_{2g}^3 e_g^1) | | d⁵ | 1 (t2g5t_{2g}^5) | 5 (t2g3eg2t_{2g}^3 e_g^2) | | d⁶ | 0 (t2g6t_{2g}^6) | 4 (t2g4eg2t_{2g}^4 e_g^2) |

⚠️ Co(III) Almost Always LS (Except with F⁻ and H₂O)

Co(III) has unusually high pairing tendency. Only F⁻ and H₂O are weak enough to give HS Co(III).

Answer: (1) 1, 5, 4, 2\boxed{\text{Answer: (1) 1, 5, 4, 2}}

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