Properties

The d-block elements, occupying Groups 3–12 of the periodic table, are defined by the progressive filling of their (n-1)d orbitals. These elements — commonly called transition metals — include familiar metals such as iron, copper, manganese, chromium, and zinc. Their partially filled d subshells give rise to a distinctive cluster of physical and chemical properties that set them apart from the s- and p-block elements: vivid ionic colours, paramagnetism, variable oxidation states, and exceptional catalytic ability. Understanding these properties requires an appreciation of crystal field theory, quantum mechanics of electron spin, and the thermodynamics of alloy formation. When a transition metal ion sits inside a complex, the five degenerate d orbitals split into groups of different energy depending on the geometry of surrounding ligands. Electrons can then absorb visible light photons to jump between these split energy levels — a process called a d–d transition — and the complementary colour is transmitted, giving the solution its characteristic hue. Beyond colour, transition metals are indispensable to modern technology and life. Iron–nickel alloys form the structural backbone of skyscrapers; vanadium(V) oxide catalyses the industrial synthesis of sulfuric acid; haemoglobin's iron centre transports oxygen in blood. This article examines the four headline properties — coloured ions, magnetic moments, catalytic activity, and alloy formation — with the rigour needed for advanced study.

Key takeaways
  • Coloured Ions and d–d Transitions
  • Magnetic Moments and the Spin-Only Formula
  • Catalytic Activity
  • Alloys

Coloured Ions and d–d Transitions

In an isolated gaseous transition metal ion, all five d orbitals are degenerate (equal in energy). When ligands approach in an octahedral field, electrostatic repulsion raises the energy of the two orbitals pointing directly at ligands (dz² and dx²−y², collectively called eg) relative to the three orbitals pointing between ligands (dxy, dxz, dyz, collectively called t2g). The energy gap is called the crystal field splitting energy, Δo. An electron in a t2g orbital can absorb a photon of energy exactly equal to Δo and jump to an eg orbital. Because Δo typically corresponds to visible-light wavelengths (400–700 nm), the complementary colour is observed. For example, [Ti(H₂O)₆]³⁺ absorbs green light (~500 nm) and appears violet-purple. Critically, ions with completely empty d⁰ (e.g. Sc³⁺) or completely filled d¹⁰ (e.g. Zn²⁺, Cu⁺) subshells show no d–d transitions and are colourless. The colour also depends on the ligand: the spectrochemical series ranks ligands by their ability to increase Δo: I⁻ < Br⁻ < Cl⁻ < F⁻ < OH⁻ < H₂O < NH₃ < CN⁻. Strong-field ligands produce a large Δo, shifting absorption toward higher energy (shorter wavelength).

Magnetic Moments and the Spin-Only Formula

Unpaired electrons possess intrinsic spin angular momentum and behave as tiny bar magnets. A substance with unpaired electrons is attracted into a magnetic field — it is paramagnetic. Transition metal ions commonly have multiple unpaired d electrons, producing measurable paramagnetism. For most first-row transition metals, orbital angular momentum is quenched by the crystal field, so the magnetic moment is approximated well by the spin-only formula: μ = √[n(n+2)] BM, where n is the number of unpaired electrons and BM is the Bohr magneton (9.274 × 10⁻²⁴ J T⁻¹). For example, Mn²⁺ has the configuration [Ar]3d⁵ with five unpaired electrons, giving μ = √[5×7] = √35 ≈ 5.92 BM — close to the experimentally measured value of 5.9 BM. Ions with all electrons paired (d⁰ or d¹⁰, or low-spin d⁶) are diamagnetic and are weakly repelled by a magnetic field. High-spin versus low-spin configurations (determined by the relative magnitudes of Δo and the pairing energy P) affect the number of unpaired electrons and therefore the magnetic moment.

Catalytic Activity

Transition metals are among the most powerful catalysts known. Their catalytic effectiveness arises from two features: (i) variable oxidation states allow them to accept and donate electrons readily, enabling redox catalysis; (ii) their d orbitals can form weak coordinate bonds with reactant molecules, adsorbing them onto the metal surface and weakening intramolecular bonds — the basis of heterogeneous catalysis. The Contact Process for H₂SO₄ manufacture uses V₂O₅: the vanadium cycles between V⁵⁺ and V⁴⁺ as it oxidises SO₂ to SO₃, then is re-oxidised by O₂. The Haber Process uses an iron catalyst (promoted with K₂O and Al₂O₃): N₂ and H₂ adsorb on the iron surface, their bonds weaken, atoms recombine as NH₃, which then desorbs. Catalytic converters in cars use Pt and Rh to oxidise CO and hydrocarbons and reduce NOₓ. Enzymes such as cytochrome c oxidase and nitrogenase rely on iron and molybdenum active sites, illustrating biological catalysis by d-block centres.

Alloys

Transition metals readily form alloys — homogeneous mixtures of two or more metals (or a metal and a non-metal) — because they have similar atomic radii and crystal structures. Two structural types exist: (a) Substitutional alloys form when atoms of one metal replace atoms of another in the crystal lattice; this is possible when atomic radii differ by less than ~15% (Hume-Rothery rules). Brass (Cu–Zn), bronze (Cu–Sn), and stainless steel (Fe–Cr–Ni) are substitutional alloys. (b) Interstitial alloys form when small atoms (C, N, H) occupy the gaps (interstices) between larger metal atoms; steel is iron with carbon atoms in interstitial positions, which pins dislocations and dramatically increases hardness. Alloys have superior mechanical properties — greater hardness, strength, and corrosion resistance — compared with the pure component metals. Nichrome (Ni–Cr) has high electrical resistance and is used in heating elements; titanium alloys (Ti–Al–V) combine low density with exceptional strength for aerospace applications.

The Key Equation

μ=n(n+2) BM\mu = \sqrt{n(n+2)} \text{ BM}
  • \mu — Magnetic moment (BM (Bohr magnetons)): Measures the strength of the paramagnetic response; 1 BM = 9.274 × 10⁻²⁴ J T⁻¹
  • n — Number of unpaired electrons (dimensionless): Determined from the electron configuration of the metal ion, accounting for high-spin or low-spin state

Worked Example

Problem. Calculate the spin-only magnetic moment of Fe³⁺ and predict whether it is paramagnetic or diamagnetic. (Atomic number of Fe = 26.)

μ=5×7=35≈5.92 BM\mu = \sqrt{5 \times 7} = \sqrt{35} \approx 5.92 \text{ BM}

Answer. μ ≈ 5.92 BM; Fe³⁺ is paramagnetic with 5 unpaired electrons.

Figure
Diagram
Crystal Field Splitting in an Octahedral ComplexEE₀5 d orbitals(degenerate)e_gd_z², d_x²−y²t₂gd_xy, d_xz, d_yzΔ_oPhoton absorbed: hν = Δ_o (visible light → coloured ion)Free ionOctahedral field
Origins · 1 minAlfred Werner and how this was discovered
AW
Alfred Werner
1866–1919 · Swiss

Werner founded coordination chemistry, correctly proposing that metal ions have both a primary valence (oxidation state) and a secondary valence (coordination number). His theory explained the geometry of metal complexes and the origin of their colours long before quantum mechanics or crystal field theory was developed. He was awarded the Nobel Prize in Chemistry in 1913. Werner had no formal training in inorganic chemistry — his doctoral thesis was in organic chemistry — yet he developed his coordination theory largely from analysis of coloured cobalt complexes, reportedly conceiving the key ideas in a single night of inspired thought.

  • Variable Oxidation States of d-Block Elements — Variable oxidation states underpin both the catalytic activity and the colour variety of transition metal ions, since different oxidation states of the same metal produce different Δo values and different numbers of unpaired electrons.
  • Complex Ions and Ligands — Coloured ions and the crystal field splitting described in this article arise within coordination complexes; understanding ligand types and coordination geometry is essential context.
  • Electron Configuration of Transition Metals — The spin-only formula and magnetic properties depend directly on the number of unpaired d electrons, which is read from the electron configuration of the ion.
  • Metallic Bonding — Alloy formation is explained by the delocalized electron model of metallic bonding and the geometric constraints of atomic radii in crystal lattices.