JEE Main · 2019hardCORD-183

Complete removal of both the axial ligands (along the z-axis) from an octahedral complex leads to which of the…

Coordination Compounds · Class 12 · JEE Main Previous Year Question

Question

Complete removal of both the axial ligands (along the z-axis) from an octahedral complex leads to which of the following splitting patterns? (This gives a square planar complex — the correct pattern shows dz2d_{z^2} dropping below dx2y2d_{x^2-y^2}, with dxyd_{xy} above dxzd_{xz}/dyzd_{yz})

Options
  1. a

    Pattern 1: dz2d_{z^2} highest

  2. b

    Pattern 2: dx2y2d_{x^2-y^2} highest, dz2d_{z^2} drops below dxyd_{xy}

  3. c

    Pattern 3: all degenerate

  4. d

    Pattern 4: dx2y2d_{x^2-y^2} highest, dxyd_{xy} next, dz2d_{z^2} below dxyd_{xy}

Correct Answerb

Pattern 2: dx2y2d_{x^2-y^2} highest, dz2d_{z^2} drops below dxyd_{xy}

Detailed Solution

🧠 Removing Axial Ligands ⟶ Square Planar

Starting with octahedral splitting (5 d-orbitals split into t2g3+eg2t_{2g}^3 + e_g^2):

  • t2gt_{2g}: dxy,dxz,dyzd_{xy}, d_{xz}, d_{yz} (lower).
  • ege_g: dx2y2,dz2d_{x^2-y^2}, d_{z^2} (upper).

Now remove the two ligands along the z-axis (axial). The orbitals with z-component of electron density are now under less ligand repulsion → they drop in energy:

  • dz2d_{z^2} (mostly along z) → drops sharply.
  • dxz,dyzd_{xz}, d_{yz} (have z-components) → drop somewhat.

Orbitals without z-component see no change:

  • dxyd_{xy} (purely in xy plane) → stays put relative to before.
  • dx2y2d_{x^2-y^2} (purely in xy plane, points at the remaining 4 ligands) → stays at the top.

🗺️ Final Sq. Planar Order (Low → High)

dxz,dyz<dz2<dxy<dx2y2d_{xz}, d_{yz} < d_{z^2} < d_{xy} < d_{x^2-y^2}

Key observations:

  • dx2y2d_{x^2-y^2} is highest — it points directly at the four remaining ligands.
  • dz2d_{z^2} has dropped below dxyd_{xy} — this is the critical change from oct splitting.

Why d⁸ Sq Planar Is Diamagnetic

The huge gap between dx2y2d_{x^2-y^2} (top, empty in d⁸) and the rest (filled, 8 electrons paired) makes square planar d⁸ complexes (Ni(II), Pd(II), Pt(II), Au(III)) overwhelmingly diamagnetic.

⚠️ Don't Memorise the Order Backwards

A common error: putting dz2d_{z^2} above dxyd_{xy} (carrying over the oct ordering). Once axial ligands are removed, dz2d_{z^2} has no axial repulsion → it drops to the middle of the diagram, below dxyd_{xy}.

Answer: (2) dx2y2 highest, dz2 drops below dxy\boxed{\text{Answer: (2) } d_{x^2-y^2}\text{ highest, } d_{z^2}\text{ drops below } d_{xy}}

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