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AQA A-level Chemistry (7405) · Transition Metals
Mini-Lesson

Transition Metals

This mini-lesson covers AQA 3.2.5 Transition metals: the definition (an incomplete d sub-level in an ion), complex ions and ligands, shapes and isomerism, why they are coloured (ΔE = hc/λ), variable oxidation states and redox titrations, and heterogeneous and homogeneous catalysis.

complexes & ligands colour & oxidation states catalysis & titrations all four characteristic properties come from the incomplete d sub-level

Work through each screen, answer the questions as you go (some are wordy, most are calculations) and collect ⭐ stars. Everything here is A-level standard — the maths is done properly, not skipped. Press Start when you're ready.

Transition metals · definition

What is a transition metal?

Definition: a transition metal is a d-block element that forms at least one stable ion with an incomplete d sub-level.

That precise wording matters, because it excludes two d-block elements:

  • Scandium — its only ion is Sc³⁺, which is [Ar] (an empty d sub-level).
  • Zinc — its only ion is Zn²⁺, which is [Ar] 3d¹⁰ (a full d sub-level).

Neither has an incomplete d sub-level in its ion, so neither is a transition metal — and, tellingly, neither shows the characteristic properties. All four properties flow from that partly filled d sub-level:

  • complex formation · coloured ions · variable oxidation state · catalytic activity

Remember the ion, not the atom. Copper is a transition metal because Cu²⁺ is [Ar] 3d⁹ — even though the copper atom is [Ar] 4s¹3d¹⁰. And do not forget: 4s electrons are removed before 3d when the ion forms.

Quick check

Quick check

?Why is zinc not classed as a transition metal?
Transition metals · complexes

Complex ions, ligands and shape

A ligand is a molecule or ion that donates a lone pair of electrons to a metal ion to form a co-ordinate (dative) bond. A complex is a central metal ion surrounded by ligands. The co-ordination number is the number of co-ordinate bonds to the central ion.

  • Monodentate — one lone pair each: H₂O, NH₃, Cl⁻. H₂O and NH₃ are similar in size and uncharged, so they exchange without changing the co-ordination number.
  • Bidentate — two donor atoms each: H₂NCH₂CH₂NH₂ (ethane-1,2-diamine) and the ethanedioate ion, C₂O₄²⁻.
  • MultidentateEDTA⁴⁻ forms six co-ordinate bonds all by itself. Haem is an Fe(II) complex with a multidentate ligand.

Shape depends on ligand size: small ligands (H₂O, NH₃) usually give six-co-ordinate octahedral complexes; the larger Cl⁻ ligand usually gives four-co-ordinate tetrahedral ones. [Ag(NH₃)₂]⁺ (Tollens’ reagent) is linear. Square planar complexes also occur — cisplatin is the cis isomer of a square planar platinum complex, used to treat cancer.

Why carbon monoxide is toxic: haemoglobin transports O₂ by forming a co-ordinate bond to Fe(II). CO binds to the same site far more strongly and is not readily released, so the haemoglobin can no longer carry oxygen.

Calculate

Your turn

1State the co-ordination number of the complex ion [Cu(H₂O)₆]²⁺.
Hint: Count the co-ordinate bonds — one from each monodentate water ligand.
Calculate

Your turn

2State the co-ordination number of [CoCl₄]²⁻.
Hint: Chloride is a large ligand, so fewer fit around the metal ion.
Sort it

Sort each complex ion by its shape

Tap a complex, then tap its shape. Think about the size of the ligand.

🟩 Octahedral (6)

🟪 Tetrahedral (4)

🟦 Linear (2)

Transition metals · the chelate effect

Ligand substitution and the chelate effect

Ligands can be swapped. With excess ammonia, copper(II) does a partial substitution — only four of the six waters are replaced:

[Cu(H₂O)₆]²⁺ + 4NH₃ → [Cu(NH₃)₄(H₂O)₂]²⁺ + 4H₂Opale blue solution → deep blue solution. Co-ordination number stays at 6

With concentrated HCl the bigger chloride ligand forces a change of co-ordination number:

[Cu(H₂O)₆]²⁺ + 4Cl⁻ → [CuCl₄]²⁻ + 6H₂Oblue → yellow-green; octahedral → tetrahedral

The chelate effect: a bidentate or multidentate ligand will displace monodentate ligands, and the driving force is almost entirely entropy. For example, EDTA⁴⁻ replaces six water molecules: 2 particles become 7. Because the ΔH of the reaction is close to zero (a similar number of similar co-ordinate bonds is broken and made), the large positive ΔS makes ΔG = ΔH − TΔS negative.

Exam phrasing: "there is an increase in the number of particles, so ΔS is positive; ΔH is approximately zero, so ΔG is negative and the substitution is feasible." That sentence is worth full marks.

Transition metals · colour

Why transition metal ions are coloured

Ligands split the five d orbitals into two energy levels. When light passes through, a d electron absorbs a photon and jumps from the ground state to an excited state. The energy gap is:

ΔE = hν = hc / λh = 6.63 × 10⁻³⁴ J s · c = 3.00 × 10⁸ m s⁻¹ · λ in metres (nm → m: × 10⁻⁹)

The colour you see is the light that is not absorbed — the transmitted complement. Anything that changes ΔE changes the colour, so the colour depends on the:

  • oxidation state of the metal · co-ordination number · identity of the ligand

A colorimeter uses this: absorbance is proportional to concentration, so you plot a calibration curve of absorbance against known concentrations and read off an unknown. (You select the filter of the colour that the solution absorbs most — the complementary colour to the one you see.)

Why Sc³⁺ and Zn²⁺ solutions are colourless: Sc³⁺ has no d electrons and Zn²⁺ has a full d sub-level, so in neither case can a d electron jump to a vacant higher d orbital. No absorption, no colour.

Calculate

Your turn

3A complex absorbs light of wavelength 600 nm. Calculate ΔE. Give your answer in units of 10⁻¹⁹ J. (h = 6.63 × 10⁻³⁴ J s, c = 3.00 × 10⁸ m s⁻¹)
× 10⁻¹⁹ J
Hint: ΔE = hc/λ = (6.63 × 10⁻³⁴ × 3.00 × 10⁸) ÷ (600 × 10⁻⁹) = 1.989 × 10⁻²⁵ ÷ 6.00 × 10⁻⁷.
Transition metals · redox titrations

Variable oxidation states and redox titrations

Transition metals show variable oxidation states because the 4s and 3d sub-levels are close in energy, so a variable number of electrons can be lost. Vanadium is the classic example: VO₂⁺ (+5, yellow) → VO²⁺ (+4, blue) → V³⁺ (+3, green) → V²⁺ (+2, violet), reduced step by step by zinc in acid.

Manganate(VII) titrations are self-indicating: MnO₄⁻ is intensely purple and Mn²⁺ is almost colourless, so the end point is the first permanent pale pink.

MnO₄⁻ + 5Fe²⁺ + 8H⁺ → Mn²⁺ + 5Fe³⁺ + 4H₂Ocharge: −1 + 10 + 8 = +17 on the left; +2 + 15 = +17 on the right ✓
2MnO₄⁻ + 5C₂O₄²⁻ + 16H⁺ → 2Mn²⁺ + 10CO₂ + 8H₂Othe ethanedioate titration. Charge: −2 −10 +16 = +4 on both sides ✓

Acidify with dilute sulfuric acid — never hydrochloric (Cl⁻ would be oxidised to Cl₂, so too much MnO₄⁻ would be used) and never nitric (it is itself an oxidising agent).

Calculate

Your turn

425.0 cm³ of Fe²⁺(aq) requires 22.40 cm³ of 0.0200 mol dm⁻³ KMnO₄ for complete oxidation. Using MnO₄⁻ + 5Fe²⁺ + 8H⁺ → Mn²⁺ + 5Fe³⁺ + 4H₂O, calculate the concentration of Fe²⁺.
mol dm⁻³
Hint: n(MnO₄⁻) = 0.02240 × 0.0200 = 4.48 × 10⁻⁴ mol. Ratio 1 : 5 → n(Fe²⁺) = 2.24 × 10⁻³ mol. c = n ÷ 0.0250.
Transition metals · catalysis

Heterogeneous and homogeneous catalysis

Heterogeneous — the catalyst is in a different phase from the reactants (usually a solid with gases). The reaction occurs at active sites on the surface: reactants adsorb, react, and then desorb. The catalyst is spread over a support medium to maximise surface area and minimise cost. It can be poisoned by impurities that block the active sites (e.g. sulfur poisoning the iron in the Haber process, or lead poisoning a catalytic converter) — which reduces efficiency and costs money.

Homogeneous — the catalyst is in the same phase as the reactants, and the reaction proceeds via an intermediate species.

S₂O₈²⁻ + 2I⁻ → 2SO₄²⁻ + I₂two NEGATIVE ions must collide — very slow. Fe²⁺ catalyses it:
  • S₂O₈²⁻ + 2Fe²⁺ → 2SO₄²⁻ + 2Fe³⁺ (charge: −2 + 4 = +2 = −4 + 6 ✓)
  • 2Fe³⁺ + 2I⁻ → 2Fe²⁺ + I₂ (charge: +6 − 2 = +4 = +4 ✓)

Each step is between oppositely charged ions, so both are far faster — and the Fe²⁺ is regenerated. This only works because iron has a variable oxidation state.

Autocatalysis: in the MnO₄⁻ / C₂O₄²⁻ titration, the Mn²⁺ product is itself the catalyst. That is why the first few drops decolourise slowly and then the reaction suddenly speeds up.

Match it

Match each catalyst to its process

Tap a catalyst on the left, then the process it catalyses on the right.

Catalyst
Process
Quick check

Quick check

?Why does Fe²⁺ catalyse the reaction between S₂O₈²⁻ and I⁻?
Quick check

Quick check

?Why must a manganate(VII) titration be acidified with sulfuric acid rather than hydrochloric acid?
Quick check

Quick check

?What causes a transition metal complex to be coloured?
Transition metals · exam traps

Definitions, colour and the chelate effect

  • The definition is about the ION, not the atom. "A transition metal forms at least one stable ion with an incomplete d sub-level." That is why Sc (Sc³⁺ = empty d) and Zn (Zn²⁺ = full d) are excluded.
  • The colour SEEN is the light NOT absorbed. Say: "a d electron absorbs a photon of energy ΔE and is promoted from the ground state to an excited state; the transmitted light gives the colour."
  • The chelate effect is entropy-driven. "The number of particles increases, so ΔS is positive; ΔH is close to zero; therefore ΔG is negative."
  • Acidify a manganate(VII) titration with SULFURIC acid. HCl would be oxidised to Cl₂; HNO₃ is itself an oxidising agent.

Ligand substitution with ammonia comes in two flavours. A small amount of NH₃ acts as a base and deprotonates the aqua ion to give a precipitate. An excess acts as a ligand and substitutes — which is why the Cu²⁺ precipitate redissolves to the deep blue [Cu(NH₃)₄(H₂O)₂]²⁺.

Quick check

Quick check

?Why is the chelate effect thermodynamically favourable?
Calculate

Your turn

5Using 2MnO₄⁻ + 5C₂O₄²⁻ + 16H⁺ → 2Mn²⁺ + 10CO₂ + 8H₂O, calculate the moles of MnO₄⁻ needed to oxidise 5.00 × 10⁻³ mol of C₂O₄²⁻.
mol
Hint: The ratio MnO₄⁻ : C₂O₄²⁻ is 2 : 5, so n = (2/5) × 5.00 × 10⁻³.
Recap

The big ideas to know

Definition: a transition metal forms at least one stable ion with an incomplete d sub-level — which is why Sc and Zn do not count

Four properties: complex formation · coloured ions · variable oxidation state · catalytic activity

Ligand: a molecule or ion that donates a lone pair to form a co-ordinate bond with the metal ion

Shapes: 6 co-ordinate → octahedral (small ligands) · 4 co-ordinate → tetrahedral (Cl⁻) · [Ag(NH₃)₂]⁺ → linear

Colour: d electrons absorb a photon and jump to a higher d level; ΔE = hν = hc/λ. The colour SEEN is the light that is not absorbed

Catalysis: heterogeneous = different phase, works at active sites (can be poisoned) · homogeneous = same phase, proceeds via an intermediate

Redox titration: MnO₄⁻ + 5Fe²⁺ + 8H⁺ → Mn²⁺ + 5Fe³⁺ + 4H₂O — self-indicating, first permanent pink is the end point

That is the whole of AQA 3.2.5. Press Finish to see your score.

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