The d- and f-Block Elements

Chemistry · Class 12

Lesson 13 of 13 · 15 min

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Must-know facts

20 facts

  1. 1d-block = groups 3-12; transition metal = incomplete d subshell in the atom or a common ion.
  2. 2Zn, Cd, Hg (and Cn) are (n−1)d¹⁰ ns² and are not transition elements; Sc (3d¹) is, and Ag is (Ag²⁺ is 4d⁹).
  3. 3Cr = [Ar] 3d⁵ 4s¹; Cu = [Ar] 3d¹⁰ 4s¹; Pd = [Kr] 4d¹⁰ 5s⁰.
  4. 4Ions lose ns electrons before (n−1)d: Fe²⁺ = 3d⁶, Fe³⁺ = 3d⁵, Mn²⁺ = 3d⁵, Cu²⁺ = 3d⁹.
  5. 5Melting points peak near d⁵; enthalpy of atomisation peaks mid-series; Zn has the lowest (126 kJ mol⁻¹).
  6. 6Lanthanoid contraction makes Zr (160 pm) and Hf (159 pm) almost the same size.
  7. 7Mn shows +2 to +7, the most states in the 3d row; Sc shows only +3; Zn only +2.
  8. 8Heavier members of d-groups prefer higher oxidation states: W(VI) and Mo(VI) are more stable than Cr(VI).
  9. 9Cu is the only first-row metal with positive E°(M²⁺/M) = +0.34 V; it does not release H₂ from dilute acids.
  10. 10E°(M³⁺/M²⁺): Co +1.97 and Mn +1.57 V (strong oxidants); Cr²⁺, V²⁺, Ti²⁺ are strong reductants.
  11. 11Oxygen stabilises higher states than fluorine: MnF₄ but Mn₂O₇.
  12. 12Spin-only μ = √[n(n+2)] BM: 1.73, 2.83, 3.87, 4.90, 5.92 for n = 1 to 5 (Table 4.7 prints 2.84 for n = 2).
  13. 13d⁰ and d¹⁰ ions (Sc³⁺, Ti⁴⁺, Zn²⁺, Cu⁺) are colourless and diamagnetic.
  14. 14Aquated colours: Cu²⁺ blue, Ni²⁺ green, Fe²⁺ green, Fe³⁺ yellow, Mn²⁺ pink, Co²⁺ pink, Ti³⁺ purple.
  15. 15Catalysts: V₂O₅ (Contact), Fe (Haber), Ni (hydrogenation), PdCl₂ (Wacker), TiCl₄ + Al(CH₃)₃ (Ziegler).
  16. 16Chromate (yellow) ⇌ dichromate (orange) with pH; Cr is +6 in both; Cr-O-Cr angle 126°.
  17. 17Acid permanganate takes 5 e⁻ (to Mn²⁺); neutral or faintly alkaline takes 3 e⁻ (to MnO₂); dichromate takes 6 e⁻ per ion.
  18. 18Ce⁴⁺ is an oxidant (E° = +1.74 V); Eu²⁺ and Yb²⁺ are reductants; common lanthanoid state is +3.
  19. 19Mischmetall ≈ 95% lanthanoid metal + 5% Fe; used in lighter flints.
  20. 20Actinoid maximum oxidation state: Th +4, Pa +5, U +6, Np +7; actinoid contraction is larger per element than lanthanoid contraction.

Common traps

Where marks are lost

Writing Fe²⁺ as [Ar] 3d⁴ 4s² by removing the 3d electrons first.

The 4s electrons leave first: Fe [Ar] 3d⁶ 4s² → Fe²⁺ [Ar] 3d⁶ → Fe³⁺ [Ar] 3d⁵.

Calling zinc a transition element because it sits in the d-block.

Zn is d¹⁰ as an atom and as Zn²⁺, so its d subshell is never incomplete. Scandium, with 3d¹, is a transition element.

Assuming Cr is 3d⁴ 4s² and Cu 3d⁹ 4s² by the simple filling order.

Half-filled and filled d sets are extra stable: Cr 3d⁵ 4s¹, Cu 3d¹⁰ 4s¹.

Expecting Hf to be clearly bigger than Zr because it is one period lower.

The 14 4f electrons before Hf shrink it back (lanthanoid contraction): Zr 160 pm, Hf 159 pm.

Thinking Mn³⁺ and Cr²⁺ behave alike because both are d⁴.

Cr²⁺ gives up an electron to reach d³ (reductant); Mn³⁺ takes one to reach d⁵ (oxidant).

Using 5 electrons for permanganate in every titration.

5 e⁻ only in acid (MnO₄⁻ → Mn²⁺); in neutral or faintly alkaline solution it is 3 e⁻ (→ MnO₂), and 1 e⁻ to manganate.

Acidifying a permanganate titration with HCl.

MnO₄⁻ oxidises Cl⁻ to Cl₂, which spoils the titre; dilute H₂SO₄ is used.

Thinking chromium changes oxidation state when chromate turns into dichromate.

It is +6 in both; the change is an acid-base condensation, not a redox reaction.

Assuming every Ln ion is +3, so Ce⁴⁺ and Eu²⁺ are impossible.

+3 is common, but Ce⁴⁺ (f⁰), Tb⁴⁺ (f⁷), Eu²⁺ (f⁷) and Yb²⁺ (f¹⁴) exist because of empty, half-filled or filled f sets.

Believing the observed moment always equals the spin-only value.

Spin-only works well for Ti³⁺ to Mn²⁺; Fe²⁺, Co²⁺, Ni²⁺ and Cu²⁺ are measured higher (for example Co²⁺ 4.4-5.2 BM against 3.87).

Formulas

6 to know

Transition-element configuration

(n−1)d¹⁻¹⁰ ns¹⁻²

Exceptions: Cr 3d⁵4s¹, Cu 3d¹⁰4s¹, Pd 4d¹⁰5s⁰.

Spin-only magnetic moment

μ = √[n(n + 2)] BM

n = number of unpaired electrons; n = 1 gives 1.73 BM, n = 5 gives 5.92 BM.

Dichromate in acid

Cr₂O₇²⁻ + 14H⁺ + 6e⁻ → 2Cr³⁺ + 7H₂O

E° = 1.33 V; 1 Cr₂O₇²⁻ oxidises 6 Fe²⁺.

Permanganate in acid

MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O

E° = +1.52 V; 1 MnO₄⁻ oxidises 5 Fe²⁺; 2 MnO₄⁻ oxidise 5 C₂O₄²⁻.

Permanganate to MnO₂

MnO₄⁻ + 4H⁺ + 3e⁻ → MnO₂ + 2H₂O

E° = +1.69 V; in neutral or faintly alkaline solution MnO₄⁻ also gives MnO₂ (3 e⁻).

Chromate-dichromate

2CrO₄²⁻ + 2H⁺ ⇌ Cr₂O₇²⁻ + H₂O

Acid pushes right (orange), alkali left (yellow); Cr stays +6.

Key terms

17 terms

Transition element
A metal whose atom or common ion has an incomplete d subshell.
Inner transition element
An f-block element, in which 4f (lanthanoids) or 5f (actinoids) orbitals fill.
Enthalpy of atomisation
Energy needed to turn one mole of the solid metal into free gaseous atoms; a measure of metallic bond strength.
Lanthanoid contraction
The steady fall in atomic and ionic size from La to Lu, caused by poor shielding by 4f electrons.
Exchange energy
Stabilisation that grows with the number of parallel-spin electron pairs in a degenerate set.
Disproportionation
A reaction in which one oxidation state converts into a higher and a lower one at the same time.
Paramagnetic
Drawn into a magnetic field, because of unpaired electrons.
Diamagnetic
Pushed out of a magnetic field; all electrons paired.
Ferromagnetic
Very strongly attracted to a magnet; an extreme form of paramagnetism.
Bohr magneton (BM)
The unit of magnetic moment used for atoms and ions.
Spin-only moment
Magnetic moment counting electron spin alone, √[n(n+2)] BM.
Complex compound
A compound in which a metal ion binds several ions or neutral molecules into one species with its own properties.
Interstitial compound
A compound formed when small atoms (H, C, N) sit in the holes of a metal lattice; usually non-stoichiometric.
Alloy
A blend of metals; solid solutions form when metallic radii are within about 15%.
Mischmetall
An alloy of about 95% lanthanoid metal and 5% iron with traces of S, C, Ca and Al.
Oxocation
A cation containing metal and oxygen, such as VO₂⁺, VO²⁺ or TiO²⁺.
Primary standard
A pure, stable substance weighed directly to make a solution of exactly known concentration, as K₂Cr₂O₇ is.
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