28.4 Stereoisomerism in Complexes

28.4 Stereoisomerism in Complexes

Learning outcomes

Candidates should be able to:

  1. describe the types of stereoisomerism shown by complexes, including those associated with bidentate ligands:
    • (a) geometrical (cis/trans) isomerism, e.g. square planar such as [Pt(NH₃)₂Cl₂] and octahedral such as [Co(NH₃)₄(H₂O)₂]²⁺ and [Ni(en)₂(H₂O)₂]²⁺
    • (b) optical isomerism, e.g. [Ni(en)₃]²⁺ and [Ni(en)₂(H₂O)₂]²⁺
  2. deduce the overall polarity of complexes such as those described in 28.4.1(a) and (b)
Structural isomerism, and an introduction to stereochemistry

Some of the types of isomerism found in organic chemistry are also found in complex ions. An example of structural isomerism occurs in compounds of formula CrCl₃·6H₂O. Three such compounds are known, with different numbers of free Cl⁻ ions (shown by reaction with Ag⁺ ions) and free H₂O molecules (shown by dehydration).

ColourFree Cl⁻ ionsFree H₂O moleculesStructure
purple30[Cr(H₂O)₆]³⁺ 3Cl⁻
blue-green21[Cr(H₂O)₅Cl]²⁺ 2Cl⁻·H₂O
green12[Cr(H₂O)₄Cl₂]⁺ Cl⁻·2H₂O

Complexes can also show stereochemistry — differences in the spatial arrangement of ligands around the same central metal ion, with the same bonds. Stereoisomerism in complexes falls into two types, both covered below: geometric (cis/trans) isomerism and optical isomerism.

A good example is the complex ion [Co(en)₂(NH₃)₂]²⁺, where en is 1,2-diaminoethane, H₂NCH₂CH₂NH₂. This complex exists as cis and trans forms. The cis form (but not the trans) has a chiral centre at the cobalt atom, and can be resolved into optical isomers. The trans form has zero overall polarity, since all the bond dipoles cancel; the cis form does have a dipole moment.

Coming upWe’ll see this same pattern worked through in full, with diagrams, using [Ni(en)₂(H₂O)₂]²⁺ later in this page.
Geometric isomerism: square planar complexes
Geometric (cis/trans) isomersSpecies with the same molecular formula and the same bonds, whose atoms cannot be superimposed on one another because rotation about a bond is restricted.

Any square planar complex with the general formula [M(A)₂(B)₂] (M = transition element; A, B = ligands) can show cis/trans isomerism.

Pt Cl Cl NH₃ NH₃ cis-platin Pt Cl Cl H₃N NH₃ trans-platin
In cis-platin the two Cl atoms are adjacent; in trans-platin they are opposite
Cisplatin — a real-life applicationCis-platin is used to treat some forms of cancer. One Cl is readily hydrolysed to give the [Pt(NH₃)₂Cl(H₂O)]⁺ ion, which binds to a base in DNA (usually guanine) to form [PtCl(guanine-DNA)(NH₃)₂]⁺. This ion then cross-links with another DNA strand by displacing its remaining chloride, blocking DNA replication — particularly in rapidly dividing cancer cells. Trans-platin is not effective; one theory is that it becomes deactivated before it can attach to DNA.
Deducing polarityDifferences in electronegativity between the donor atoms of the ligands create polar or non-polar complexes. In the cis-isomer, the two identical ligands sit on the same side, so the pull on the dative-bond electrons is unbalanced → polar. In the trans-isomer, identical ligands are directly opposite each other, so the pull is balanced and the charge is spread evenly → non-polar.
Geometric isomerism: octahedral complexes

Octahedral complexes with the general formula [M(A)₄(B)₂] can also show geometric isomerism. An example is the cobalt(II) complex ion [Co(NH₃)₄(H₂O)₂]²⁺.

Co 2+ NH₃ H₂O H₃N OH₂ H₃N NH₃ cis-isomer Co 2+ H₂O H₂O H₃N NH₃ H₃N NH₃ trans-isomer
In the cis-isomer the two H₂O ligands are adjacent (asymmetric); in the trans-isomer they are opposite (symmetric)
Polaritycis-[Co(NH₃)₄(H₂O)₂]²⁺: the two H₂O ligands are on the same side → asymmetric → bond dipoles don’t fully cancel → polar (the H₂O side carries a partial negative charge, since O is more electronegative than the N in NH₃).

trans-[Co(NH₃)₄(H₂O)₂]²⁺: the two H₂O ligands are opposite each other → symmetric → bond dipoles cancel → non-polar.

Octahedral complexes with bidentate ligands, general formula [M(AA)₂(B)₂], show the same cis/trans pattern. An example is nickel(II) with two bidentate en ligands and two monodentate H₂O ligands, [Ni(en)₂(H₂O)₂]²⁺.

Ni 2+ en en OH₂ OH₂ cis-isomer Ni 2+ H₂O H₂O en en trans-isomer
Each en ligand bridges two adjacent positions — cis: both H₂O adjacent; trans: both H₂O opposite
Optical isomerism
Optical isomers (enantiomers)Non-superimposable mirror images of each other, differing only in their ability to rotate the plane of polarised light in opposite directions.

Ni²⁺ forms an octahedral complex with three en ligands, [Ni(en)₃]²⁺. This has only one geometric form — the en “bite” is too short to stretch across opposite (trans) positions — but that one form is chiral, existing as a non-superimposable mirror-image pair.

Ni 2+ en en en Ni 2+ en en en
[Ni(en)₃]²⁺: non-superimposable mirror images (enantiomers) — swap left and right, and the three en bridges swap sides too

Now back to [Ni(en)₂(H₂O)₂]²⁺: only the cis isomer is optically active, with two non-superimposable mirror images. The trans isomer is symmetrical, so its mirror image can be rotated and superimposed onto the original — it does not show optical isomerism.

Ni 2+ en en OH₂ OH₂ Ni 2+ en en H₂O H₂O
cis-[Ni(en)₂(H₂O)₂]²⁺ and its mirror image cannot be superimposed — these are optical isomers (enantiomers)
Deducing polarity: summary
Identical ligands directly opposite (trans) → bond dipoles cancel → non-polar.
Identical ligands on the same side (cis) → bond dipoles don’t cancel → polar.
The size of any dipole depends on the electronegativity difference between the donor atoms of the two ligand types.
Complexcis polaritytrans polarityOptically active?
[Pt(NH₃)₂Cl₂]polarnon-polarno (square planar)
[Co(NH₃)₄(H₂O)₂]²⁺polarnon-polarno
[Ni(en)₂(H₂O)₂]²⁺polarnon-polarcis only
[Ni(en)₃]²⁺only one geometric form existsyes

Exam tips

  • Square planar [M(A)₂(B)₂] and octahedral [M(A)₄(B)₂] / [M(AA)₂(B)₂] complexes can all show cis/trans isomerism — learn one worked example of each.
  • To deduce polarity: identical ligands opposite each other → dipoles cancel → non-polar (trans); identical ligands on the same side → dipoles don’t cancel → polar (cis).
  • Only complexes with no plane of symmetry are chiral. A bidentate ligand’s “bite” is often too short to bridge opposite (trans) positions — this is why [Ni(en)₃]²⁺ and [Ni(en)₂(H₂O)₂]²⁺ cis only exist in one geometric arrangement each for those positions.
  • State clearly which isomer (cis or trans) is optically active, and why the other one is not (it has a plane of symmetry / its mirror image is superimposable).

Quick summary

  • Structural isomerism (e.g. CrCl₃·6H₂O) differs from stereoisomerism, which is split into geometric (cis/trans) and optical (enantiomer) types.
  • Geometric isomerism occurs in square planar [M(A)₂(B)₂] and octahedral [M(A)₄(B)₂] / [M(AA)₂(B)₂] complexes.
  • Cisplatin (cis-[Pt(NH₃)₂Cl₂]) is an anticancer drug that cross-links DNA; trans-platin is inactive.
  • Optical isomers (enantiomers) are non-superimposable mirror images, e.g. [Ni(en)₃]²⁺ and cis-[Ni(en)₂(H₂O)₂]²⁺.
  • Polarity: identical ligands trans (opposite) → dipoles cancel → non-polar; identical ligands cis (same side) → dipoles don’t cancel → polar.

📥 Download 28.3 Stereoisomerism in Complexes – Notes

📥 Download 28.3 Stereoisomerism in Complexes – Worksheet

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