IB Chemistry R3.4 R3.4.8

Complex Ions and Ligands

Transition metal complexes, coordination numbers, and charge deduction.

Reactivity 3.4 HL Extension ⏱️ ~5 min revision
HL Extension

Complex Ion Terminology

  • Complex Ion: Central metal cation bonded to surrounding ligands via coordination bonds.
  • Ligand: Neutral molecule or anion containing at least one lone pair that donates to the central metal ion (Lewis base).
  • Coordination Number: Total number of coordination bonds formed to the central metal cation (typically 6 octahedral, 4 tetrahedral/square planar, 2 linear).

How Complex Ions Form

Transition metal cations have empty d orbitals that can accept lone pairs from ligands. Each ligand acts as a Lewis base and donates an electron pair to the metal ion (Lewis acid), forming a coordination bond.

Formula Convention

Writing Complex Ion Formulas

Enclosed in square brackets \([\;]\) with overall charge outside:

\[[\text{Fe}(\text{H}_2\text{O})_6]^{3+}, \quad [\text{Cu}(\text{NH}_3)_4(\text{H}_2\text{O})_2]^{2+}, \quad [\text{Fe}(\text{CN})_6]^{4-}\]

Common Ligands

Ligand Formula Charge Lone pairs donated
WaterH₂O01 (from O)
AmmoniaNH₃01 (from N)
ChlorideCl⁻-11 (from Cl)
CyanideCN⁻-11 (from C)

Deducing the Charge on a Complex Ion

This is a key exam skill. The overall charge is calculated as:

HL Extension

Deducing Metal Oxidation State and Complex Charge

\[\mathbf{\text{Overall Charge} = \text{Oxidation State of Metal} + \sum(\text{Charges on all Ligands})}\]

Worked Examples

Complex ion Metal charge Ligand charges Overall charge Coord. no.
[Cu(H₂O)₆]²⁺Cu²⁺ = +26 x 0 = 0+26
[Fe(CN)₆]³⁻Fe³⁺ = +36 x (-1) = -6-36
[CuCl₄]²⁻Cu²⁺ = +24 x (-1) = -4-24
[Ag(NH₃)₂]⁺Ag⁺ = +12 x 0 = 0+12

Coordination Number and Geometry

Coordination number Common geometry Example
6Octahedral[Cu(H₂O)₆]²⁺
4Tetrahedral or square planar[CuCl₄]²⁻ (tetrahedral)
2Linear[Ag(NH₃)₂]⁺
Key Insight

Deducing Cobalt Oxidation State in Hexamminecobalt

In \([\text{Co}(\text{NH}_3)_6]\text{Cl}_3\), the complex ion is \([\text{Co}(\text{NH}_3)_6]^{3+}\). Since \(\text{NH}_3\) is a neutral ligand (charge = 0), the oxidation state of cobalt is +3.

Examiner Trap

Coordination Number vs Oxidation State

  • Neutral ligands: Remember \(\text{H}_2\text{O}\) and \(\text{NH}_3\) have charge 0.
  • Coordination number ≠ Oxidation state: In \([\text{Fe}(\text{CN})_6]^{3-}\), coordination number = 6, but Fe oxidation state = +3.
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