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Q.Which of the following complex ion is not optically active ? (A) [Co(ox)3]3−[Co(ox)_3]^{3-} (B) cis-[Co(en)2Cl2]+cis\text{-}[Co(en)_2Cl_2]^+ (C) trans-[Co(en)2Cl2]+trans\text{-}[Co(en)_2Cl_2]^+ (D) [Co(en)3]3+[Co(en)_3]^{3+}

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Optical activity in coordination complexes requires the absence of a plane of symmetry. Among the given options, trans-[Co(en)2Cl2]+trans\text{-}[Co(en)_2Cl_2]^+ has a centre of symmetry and a plane of symmetry, making it optically inactive. The correct answer is (C).

Why Optical Activity Matters in Coordination Chemistry

Optical activity is a property of chiral molecules — those that are non-superimposable on their mirror image. In coordination compounds, chirality arises from the spatial arrangement of ligands around the central metal ion. A complex is optically active if it lacks an improper axis of rotation (specifically, a plane of symmetry or a centre of symmetry). The classic test: if a complex and its mirror image cannot be superimposed, they are enantiomers, and the complex is optically active.

For octahedral complexes, chirality often appears when:

  • Bidentate ligands (like oxalate, ox2−^{2-}, or ethylenediamine, en) create a helical twist.
  • The arrangement of different ligands breaks symmetry.

Let’s examine each option systematically.


1. [Co(ox)3]3−[Co(ox)_3]^{3-} — The Tris(oxalato) Complex

Oxalate (ox2−\text{ox}^{2-}) is a bidentate ligand that forms a five-membered chelate ring. Three oxalate ions around Co(III) give an octahedral geometry. The complex has a propeller-like shape: each oxalate spans one edge of the octahedron, and the three rings are arranged in a helical fashion.

Think of it like a three-bladed fan. The complex exists as a pair of enantiomers — left-handed and right-handed helices. There is no plane of symmetry because the chelate rings lock the structure into a chiral twist. Therefore, [Co(ox)3]3−[Co(ox)_3]^{3-} is optically active.

Tip

Any octahedral complex with three identical bidentate ligands (like [M(AA)3][M(AA)_3]) is always chiral — it’s a classic example of helical chirality. The same applies to [Co(en)3]3+[Co(en)_3]^{3+} in option (D).


2. cis-[Co(en)2Cl2]+cis\text{-}[Co(en)_2Cl_2]^+ — The Cis Isomer

Here, two ethylenediamine (en) ligands and two chloride ligands surround Co(III). The “cis” prefix means the two chlorides are adjacent (90° apart). In this geometry, the two en ligands are not equivalent in space — they create a non-superimposable mirror image.

Draw the structure: the two en rings lie in roughly perpendicular planes. The cis arrangement of Cl atoms breaks any plane of symmetry. The complex is chiral, and indeed, cis-[Co(en)2Cl2]+cis\text{-}[Co(en)_2Cl_2]^+ has been resolved into enantiomers. So it is optically active.

Watch out

A common mistake is to think that any complex with two identical bidentate ligands is automatically chiral. That’s only true for the cis isomer — the trans isomer is different, as we’ll see next.


3. trans-[Co(en)2Cl2]+trans\text{-}[Co(en)_2Cl_2]^+ — The Trans Isomer …

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