28.4 Stereoisomerism in transition element complexes

Syllabus
9701–2028–2029
Topic
28.4
Level
A2

Learning objectives

Complexes show cis/trans arrangements and non-superimposable optical pairs

Stereoisomers have the same metal–ligand connectivity but different three-dimensional arrangements. Geometrical isomers differ by whether matching ligands are adjacent (cis) or opposite (trans); optical isomers are non-superimposable mirror images called enantiomers.

Complex and geometry Geometrical isomerism Optical isomerism Structural test
square-planar [Pt(NH₃)₂Cl₂] cis and trans no Cl ligands 90° apart or 180° apart
octahedral [Co(NH₃)₄(H₂O)₂]²⁺ cis and trans no H₂O ligands 90° apart or 180° apart
octahedral [Ni(en)₃]²⁺ no cis/trans pair yes: two enantiomers three en chelate rings form left- and right-handed arrangements
octahedral [Ni(en)₂(H₂O)₂]²⁺ cis and trans cis form has an optical pair cis chelate arrangement lacks a mirror plane; trans form has symmetry

Each en ligand, H₂NCH₂CH₂NH₂, uses two nitrogen donor atoms and therefore occupies two adjacent octahedral sites. Keep the two donor atoms joined as one chelate when constructing or comparing structures.

To test a proposed pair: keep the formula and metal–ligand bonds unchanged; place all six octahedral or four square-planar sites; mark cis/trans by 90°/180° separation; for optical isomers reflect the entire chelate arrangement and check that no rotation superimposes it.

A different viewpoint or a freely rotated drawing is not a new stereoisomer. Optical activity requires non-superimposable mirror images, not merely the presence of a bidentate ligand.

Overall polarity is the vector sum of all metal–ligand bond dipoles

Assign each metal–donor bond a dipole direction, place those vectors in the actual three-dimensional geometry, and add them. Equal opposite vectors cancel; any non-zero resultant means the complex has an overall dipole and is polar.

Complex arrangement Symmetry / vector result Overall polarity
cis-[Pt(NH₃)₂Cl₂] unlike bond-dipole pairs are adjacent, so they do not cancel polar
trans-[Pt(NH₃)₂Cl₂] each ligand type lies in an equal opposite pair non-polar
cis-[Co(NH₃)₄(H₂O)₂]²⁺ the two distinct H₂O directions are adjacent; resultant remains polar
trans-[Co(NH₃)₄(H₂O)₂]²⁺ opposite matching directions cancel non-polar
cis-[Ni(en)₂(H₂O)₂]²⁺ optical pair each mirror image has the same non-zero dipole magnitude, reflected in direction polar
trans-[Ni(en)₂(H₂O)₂]²⁺ symmetric opposite contributions cancel non-polar
either enantiomer of [Ni(en)₃]²⁺ three identical chelates retain a symmetric zero vector sum non-polar

Polarity, ionic charge and chirality answer different questions. Charge is the algebraic total on the complex; polarity is a vector resultant; chirality asks whether the mirror image is superimposable. One does not determine either of the others.

Do not apply the shortcut ‘cis polar, trans non-polar’ without inspecting all ligands and the full geometry. It works for the named matched-pair examples because of their symmetry, not as a universal naming rule.