JEE Main · 2021mediumCORD-043

The hybridization and magnetic nature of [Mn(CN)6]4- and [Fe(CN)6]3-, respectively are:

Coordination Compounds · Class 12 · JEE Main Previous Year Question

Question

The hybridization and magnetic nature of [Mn(CN)6]4[\mathrm{Mn(CN)_6}]^{4-} and [Fe(CN)6]3[\mathrm{Fe(CN)_6}]^{3-}, respectively are:

Options
  1. a

    sp3d2sp^3d^2 and diamagnetic

  2. b

    d2sp3d^2sp^3 and paramagnetic

  3. c

    sp3d2sp^3d^2 and paramagnetic

  4. d

    d2sp3d^2sp^3 and diamagnetic

Correct Answerb

d2sp3d^2sp^3 and paramagnetic

Detailed Solution

🧠 Both Strong-Field d⁵ — Both Inner-Orbital

Both complexes have CN⁻ as ligand and d5\mathrm{d^5} as the d-count:

  • [Mn(CN)6]4[\mathrm{Mn(CN)_6}]^{4-}: Mn2+(d5)\mathrm{Mn^{2+}}\,(\mathrm{d^5}).
  • [Fe(CN)6]3[\mathrm{Fe(CN)_6}]^{3-}: Fe3+(d5)\mathrm{Fe^{3+}}\,(\mathrm{d^5}).

Strong-field CN\mathrm{CN^-} forces pairing → low-spin t2g5eg0\mathrm{t_{2g}^5\,e_g^0} in both. Both use inner-orbital d2sp3\mathrm{d^2sp^3} hybridisation. Both have 1 unpaired electronparamagnetic.

🗺️ Verify Each

[Mn(CN)6]4[\mathrm{Mn(CN)_6}]^{4-}. Mn2+\mathrm{Mn^{2+}}: d⁵. Low-spin → 5 electrons in t_{2g} (one pair × 2 + one single) → 1 unpaired. d²sp³ (inner). Paramagnetic.

[Fe(CN)6]3[\mathrm{Fe(CN)_6}]^{3-}. Fe3+\mathrm{Fe^{3+}}: d⁵. Same configuration as above → 1 unpaired, d²sp³, paramagnetic.

So both: d2sp3\mathrm{d^2sp^3}, paramagnetic — option (2).

The "CN\mathrm{CN^-} + d⁵" Universal Result

Whenever you see CN\mathrm{CN^-} with a d⁵ first-row metal ion, expect:

  • Low-spin
  • Inner-orbital d2sp3\mathrm{d^2sp^3}
  • 1 unpaired electron
  • μ ≈ 1.73 BM
  • Paramagnetic

Memorise this once and it covers many JEE problems.

⚠️ The "Strong Field → Diamagnetic" Reflex

Strong-field doesn't always mean diamagnetic. d⁵ low-spin still has 1 unpaired electron (an odd-electron system can never be diamagnetic). Diamagnetism requires an even-electron system plus full pairing — e.g., d⁶ low-spin (t2g6\mathrm{t_{2g}^6}). Always count the unpaired electrons; never assume.

Answer: (2) d2sp3 and paramagnetic\boxed{\text{Answer: (2) } \mathrm{d^2sp^3} \text{ and paramagnetic}}

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