Chapter 4 · Introduction

Chapter 4 — The d- and f-Block Elements

Iron in steel and haemoglobin, chromium in a polished tap, titanium in a hip joint, platinum in a catalytic converter: the metals in the middle of the periodic table build, colour and catalyse the modern world. Partly filled d and f orbitals explain all of it.

Walk through a hospital and count the transition metals. The surgical steel of a scalpel is iron hardened with chromium and nickel. A replacement hip joint is titanium, chosen because it is strong, light and ignored by the body. The red of blood comes from iron, the blue of a copper(II) sulphate test solution from copper, and an MRI scan is sharpened by a contrast agent built around gadolinium, a lanthanoid with seven unpaired electrons. In a chemistry laboratory the same block of the periodic table supplies the purple of potassium permanganate and the orange of potassium dichromate, two of the most useful oxidising agents in analysis.

Why are these elements so different from sodium or aluminium? They are all metals, but they show many oxidation states, form coloured and often magnetic compounds, bind ligands into complexes and speed up reactions as catalysts. Every one of these properties comes back to the same feature: an inner set of $d$ orbitals (or, for the lanthanoids and actinoids, $f$ orbitals) that is only partly filled. In this chapter you will build the electronic configurations, follow the trends across the first transition series and explain the exceptions, study the two famous oxidising agents, and see how the steady shrinking of the lanthanoids (the lanthanoid contraction) reaches forward to make zirconium and hafnium almost twins.

Configurations $(n-1)d^{1-10}ns^{1-2}$→Trends across 3d: size, IE, $E^{\circ}$→Oxidation states, colour, magnetism, catalysis→$\mathrm{K_{2}Cr_{2}O_{7}}$ and $\mathrm{KMnO_{4}}$→Lanthanoids, actinoids and uses
QuestionKey ideaSection
Why are Cr and Cu "exceptions"?half-filled $3d^{5}$ and full $3d^{10}$ are extra stable4.1
How magnetic is an ion?$\mu=\sqrt{n(n+2)}\ \mathrm{BM}$, $n$ = unpaired electrons4.1
Why are $\mathrm{Cu^{2+}}$ salts blue?a $d$–$d$ transition absorbs the complementary colour4.1
How much oxidant per mole?$\mathrm{MnO_{4}^{-}}$ takes $5e^{-}$ in acid, $\mathrm{Cr_{2}O_{7}^{2-}}$ takes $6e^{-}$4.2
Why are Zr and Hf so alike?the lanthanoid contraction cancels the expected increase in size4.3
🎯 By the end of this chapter you can…
  • place the d- and f-block elements in the periodic table and write the electronic configurations of the 3d metals and their ions, including the exceptions Cr and Cu;
  • explain the trends across the first transition series in metallic character, radii, ionisation enthalpies, enthalpies of atomisation, oxidation states and standard electrode potentials, and account for the irregular behaviour of Mn, Cu and Zn;
  • count unpaired electrons, calculate spin-only magnetic moments, and explain the colour, complex formation, catalytic activity, interstitial compounds and alloys of transition metals;
  • describe the preparation, structures and oxidising reactions of potassium dichromate and potassium permanganate in acidic, neutral and alkaline media, and balance their redox equations;
  • write configurations and oxidation states of the lanthanoids and actinoids, explain the lanthanoid contraction and its consequences, compare the two series, and name important applications of d- and f-block elements.
Teaser — The Oxidation-State Staircase of the 3d Metals

Each column shows the oxidation states found for one element of the first transition series. Filled boxes are the most common states. The dashed line counts the electrons in the $4s$ and $3d$ orbitals of the atom. Press Play to scan from Sc to Zn, or pick an element. Up to manganese, the highest oxidation state equals that count: every $4s$ and $3d$ electron can take part in bonding. After manganese the $d$ orbitals hold paired electrons that the nucleus grips more tightly, and the highest states fall again. Section 4.1 explains why.

element—
configuration—
oxidation states—
highest state · 4s + 3d electrons—

See 4.1 Transition Elements: Configuration and General Properties →

Sections in this chapter

✅ Before you start
This chapter builds on several Class 11 ideas. From Class 11 Chemistry, Structure of the Atom: the Aufbau order of filling ($4s$ before $3d$), Hund's rule, the Pauli principle and the extra stability of half-filled and completely filled subshells. From Class 11 Chemistry, Classification of Elements and Periodicity in Properties: the s-, p-, d- and f-blocks, atomic radius, ionisation enthalpy and the shielding of outer electrons by inner ones. From Class 11 Chemistry, Redox Reactions: oxidation numbers and balancing redox equations by the half-reaction method. You will also use standard electrode potentials $E^{\circ}$ and the idea that a more positive $E^{\circ}$ means a stronger oxidising agent (Chapter 2 of this course, Electrochemistry). A quick revision of the configurations of potassium and calcium, $\mathrm{[Ar]\,4s^{1}}$ and $\mathrm{[Ar]\,4s^{2}}$, is the right place to begin.