NeetCrackers Chemistry Notes
Complete Notes

d and f Block Elements

Every topic explained in depth, with multiple practice questions and answers after each one.

📑 Topics Covered

  1. Position & Electronic Configuration of d-Block Elements
  2. Atomic & Ionic Radii; Ionization Enthalpy
  3. Oxidation States & Metallic Character
  4. Coloured Ions & Magnetic Properties
  5. Catalytic Behaviour, Alloy & Interstitial Compound Formation
  6. Potassium Dichromate & Potassium Permanganate
  7. Lanthanoids & Lanthanoid Contraction
  8. Actinoids

Position & Electronic Configuration of d-Block Elements

Definition

Transition elements (d-block) are elements whose atoms (or common ions) have a partially filled d sub-shell. They occupy groups 3–12, spanning four series (3d, 4d, 5d, 6d) corresponding to periods 4, 5, 6, and 7.

General Electronic Configuration $$(n-1)d^{1-10}\, ns^{0-2}$$
Zinc, Cadmium & Mercury Are Exceptions

Group 12 elements (Zn, Cd, Hg) have a fully-filled $(n-1)d^{10}$ configuration in both their atomic and common ionic states, so they don't qualify as true transition elements by the strict "partially filled d-orbital" definition — though they're studied alongside the d-block for convenience.

Q. Why are zinc, cadmium, and mercury not classified as true transition elements, despite being in the d-block?
Ans: True transition elements must have a partially filled d sub-shell in the atom or at least one common oxidation state. Zn, Cd, and Hg all have a completely filled d¹⁰ configuration in both their elemental and common ionic (+2) forms, so they fail this defining criterion.
Q. Write the general electronic configuration pattern for the 3d transition series.
Ans: [Ar] 3d¹⁻¹⁰ 4s⁰⁻² — the 3d sub-shell is progressively filled across the series while the 4s sub-shell typically holds 2 electrons (with exceptions like Cr and Cu).

Atomic & Ionic Radii; Ionization Enthalpy

Atomic Radii Trend

Atomic radii decrease initially across a transition series (increasing nuclear charge), but the decrease levels off and radii become roughly similar towards the middle-to-end of the series — because the added d electrons (in an inner sub-shell) shield the outer 4s electrons from the increasing nuclear charge fairly effectively, partly cancelling the contraction.

Ionization Enthalpy

Ionization enthalpy generally increases across a transition series, though with irregularities, due to the interplay between increasing nuclear charge and the extra stability of half-filled/fully-filled d configurations.

Solved Example

Explain why the atomic radii of transition metals don't decrease as sharply across a period as they do for main-group (s and p block) elements.

Across a transition series, electrons are added to the inner (n−1)d sub-shell rather than the outermost shell. These d electrons shield the outer ns electrons from the increasing nuclear charge quite effectively, so the pull on the outermost electrons doesn't increase as sharply as it does when electrons are added directly to the valence shell (as in s/p-block elements) — leading to a much more gradual decrease in radius.

Q. Why do atomic radii become nearly constant towards the end of a transition series, rather than continuing to decrease?
Ans: As more d electrons are added, electron-electron repulsion among the d electrons themselves increases, which starts to offset the effect of increasing nuclear charge — the shielding from these d electrons roughly balances the added nuclear pull, so radii change very little towards the end of the series.

Oxidation States & Metallic Character

Variable Oxidation States

Transition elements characteristically show multiple oxidation states, differing usually by 1 (unlike main-group elements, which often differ by 2), because both the $ns$ and $(n-1)d$ electrons are close in energy and can be involved in bonding.

Manganese shows the widest range of oxidation states in the 3d series (from +2 to +7), since it has a half-filled d⁵ configuration that allows access to many stable states. The most common/stable oxidation state across most of the 3d series is +2, corresponding to loss of the two 4s electrons.

Metallic Character

All transition elements are metals — hard, with high melting/boiling points (due to strong metallic bonding involving both ns and (n−1)d electrons), and good conductors of heat and electricity.

Solved Example

Why do transition metals generally show a larger number of oxidation states than typical main-group metals?

In transition metals, both the outer ns electrons and the inner (n−1)d electrons are close enough in energy to be involved in bonding/ionisation, allowing several different combinations of electron loss — resulting in multiple accessible oxidation states, unlike main-group metals where usually only the outer ns (and sometimes np) electrons are involved.

Q. Why does manganese show such a wide range of oxidation states (+2 to +7) compared to other 3d transition metals?
Ans: Manganese has a half-filled 3d⁵4s² configuration, and because both the s and d electrons are similar in energy, all 7 valence electrons (2 from 4s, 5 from 3d) can potentially be involved in bonding under different conditions, giving access to the full +2 to +7 range of oxidation states.
Q. What is the most common oxidation state shown by most first-row (3d) transition metals, and why?
Ans: +2, corresponding to the loss of the two outer 4s electrons, which are generally lost before any 3d electrons since they are the outermost (and often slightly higher energy once ionisation begins) electrons.

Coloured Ions & Magnetic Properties

Why Transition Metal Ions Are Coloured

Most transition metal ions are coloured due to d-d electronic transitions — when surrounded by ligands (in an aqueous solution or complex), the five d-orbitals split into two sets of slightly different energies. An electron can absorb a specific wavelength of visible light to jump from the lower to the higher energy set; the colour observed is the complementary colour of the wavelength absorbed.

Common Trap

Ions with either an empty ($d^0$) or completely filled ($d^{10}$) d sub-shell are colourless, since there's no d-d transition possible — no electron can be promoted within the d-orbitals if they're all empty or all full. E.g., Sc³⁺ (d⁰) and Zn²⁺ (d¹⁰) are both colourless.

Magnetic Properties

Transition metal ions with unpaired d electrons are paramagnetic (attracted by a magnetic field); those with all d electrons paired are diamagnetic. Magnetic moment increases with the number of unpaired electrons.

Spin-Only Magnetic Moment Formula $$\mu = \sqrt{n(n+2)}\ \text{BM}$$

where $n$ = number of unpaired electrons, and BM = Bohr Magneton (unit of magnetic moment).

Solved Example

Calculate the spin-only magnetic moment of Fe³⁺ (3d⁵ configuration, all electrons unpaired).

$n = 5$ unpaired electrons. $\mu = \sqrt{5(5+2)} = \sqrt{35} \approx 5.92\ \text{BM}$

Q. Explain why Sc³⁺ ions are colourless, while most other transition metal ions are coloured.
Ans: Sc³⁺ has a d⁰ configuration (no electrons in the d sub-shell at all), so no d-d electronic transition is possible — since colour in transition metal ions arises specifically from electrons jumping between split d-orbital energy levels, an empty d sub-shell cannot produce this effect, making Sc³⁺ colourless.
Q. An ion has 3 unpaired electrons. Calculate its spin-only magnetic moment.
Ans: μ = √(3(3+2)) = √15 ≈ 3.87 BM.

Catalytic Behaviour, Alloy & Interstitial Compound Formation

Catalytic Properties

Transition metals and their compounds are widely used as catalysts (e.g., Fe in the Haber process, V₂O₅ in the Contact process, Ni in hydrogenation of oils), largely because of their ability to show variable oxidation states and to form intermediate complexes with reactants, providing an alternate lower-energy reaction pathway.

Alloy Formation

Transition metals readily form alloys with each other, since their atomic radii are quite similar, allowing atoms of one metal to easily replace atoms of another in the crystal lattice without significant distortion.

Interstitial Compounds

Small non-metal atoms (H, C, N, B) can fit into the empty spaces (interstitial voids) within a transition metal's crystal lattice, forming interstitial compounds. These compounds are typically very hard, retain metallic conductivity, and have very high melting points (e.g., tungsten carbide, WC).

Q. Why do transition metals show good catalytic activity in redox-type industrial reactions?
Ans: Their ability to easily switch between different oxidation states lets them temporarily accept and donate electrons to/from reactant molecules, forming unstable intermediate complexes that speed up the overall reaction — effectively providing a lower-energy alternate pathway, exactly as a catalyst is expected to do.
Q. Why can transition metals easily form alloys with one another?
Ans: Because transition metals within a series (or nearby) have quite similar atomic radii, atoms of one metal can substitute for atoms of another within the same crystal lattice without causing significant lattice strain or distortion, allowing homogeneous alloy formation.

Potassium Dichromate & Potassium Permanganate

Potassium Dichromate (K₂Cr₂O₇)

Preparation & Key Property

Prepared from chromite ore, ultimately via sodium chromate, which is converted to sodium dichromate and then to potassium dichromate. In acidic medium, it is a strong oxidising agent, with Cr going from +6 to +3: $\text{Cr}_2\text{O}_7^{2-} + 14\text{H}^+ + 6e^- \rightarrow 2\text{Cr}^{3+} + 7\text{H}_2\text{O}$.

pH-Dependent Equilibrium

Dichromate ions ($\text{Cr}_2\text{O}_7^{2-}$, orange) and chromate ions ($\text{CrO}_4^{2-}$, yellow) exist in a pH-dependent equilibrium: $\text{Cr}_2\text{O}_7^{2-} + \text{H}_2\text{O} \rightleftharpoons 2\text{CrO}_4^{2-} + 2\text{H}^+$. Adding acid shifts this towards the orange dichromate form; adding base shifts it towards the yellow chromate form.

Potassium Permanganate (KMnO₄)

Preparation & Key Property

Prepared from pyrolusite ore (MnO₂), via potassium manganate as an intermediate, which is later oxidised and acidified to give permanganate. A strong oxidising agent in acidic medium, with Mn going from +7 to +2: $\text{MnO}_4^- + 8\text{H}^+ + 5e^- \rightarrow \text{Mn}^{2+} + 4\text{H}_2\text{O}$.

Solved Example

Explain why the colour of a potassium dichromate solution changes from orange to yellow on adding a base.

Dichromate ($\text{Cr}_2\text{O}_7^{2-}$, orange) exists in equilibrium with chromate ($\text{CrO}_4^{2-}$, yellow): $\text{Cr}_2\text{O}_7^{2-} + \text{H}_2\text{O} \rightleftharpoons 2\text{CrO}_4^{2-} + 2\text{H}^+$. Adding a base removes H⁺ ions from the system, which (by Le Chatelier's principle) shifts this equilibrium forward, converting more dichromate into chromate — turning the solution yellow.

Q. In the reduction of MnO₄⁻ in acidic medium, what is the change in oxidation state of manganese, and how many electrons are gained?
Ans: Manganese goes from +7 (in MnO₄⁻) to +2 (in Mn²⁺), gaining 5 electrons.
Q. From which ores are potassium dichromate and potassium permanganate industrially prepared?
Ans: Potassium dichromate is prepared from chromite ore (FeCr₂O₄); potassium permanganate is prepared from pyrolusite ore (MnO₂).

Lanthanoids & Lanthanoid Contraction

Lanthanoids

The 14 elements following lanthanum (atomic numbers 58–71), where the 4f sub-shell is progressively filled. All show a dominant +3 oxidation state, with occasional +2 or +4 states for a few elements with special stability (e.g., Ce⁴⁺, Eu²⁺).

Lanthanoid Contraction

A steady, cumulative decrease in atomic/ionic radii across the lanthanoid series, caused by the poor shielding ability of 4f electrons — as nuclear charge increases across the series, the poorly-shielding 4f electrons allow the effective nuclear charge felt by outer electrons to increase steadily, contracting the atom at each step.

Consequences of Lanthanoid Contraction

Solved Example

Explain why zirconium (Zr) and hafnium (Hf), though in the same group and separated by an entire lanthanoid series, have almost identical atomic radii.

Normally, adding an entire new shell (going from period 5 to period 6) would be expected to increase atomic radius noticeably. However, the intervening lanthanoid contraction (across the 14 elements between La and Hf) causes a substantial cumulative decrease in radius that almost exactly cancels out this expected increase — leaving Zr and Hf with nearly identical atomic radii and very similar chemical properties.

Q. What causes lanthanoid contraction at the electronic level?
Ans: The 4f electrons being added across the lanthanoid series shield the outer electrons from the nucleus very poorly (compared to s or p electrons), so as nuclear charge increases across the series, the effective nuclear charge experienced by the outer electrons increases substantially, pulling them in and steadily shrinking atomic/ionic size.
Q. What is the most common oxidation state shown by lanthanoid elements?
Ans: +3, which is the dominant and most stable oxidation state across almost the entire lanthanoid series.

Actinoids

Actinoids

The 14 elements following actinium (atomic numbers 90–103), where the 5f sub-shell is progressively filled. All actinoids are radioactive, and only the first few (up to uranium) occur naturally in significant amounts — the rest are synthetic, man-made elements.

FeatureLanthanoidsActinoids
Sub-shell filled4f5f
RadioactivityNon-radioactive (except promethium)All radioactive
Oxidation statesMostly +3, limited variabilityShow a much wider range (+3 to +7), since 5f, 6d, 7s are close in energy
Natural occurrenceAll occur naturallyOnly up to uranium occurs naturally in useful amounts; rest synthetic
Q. Why do actinoids show a much wider range of oxidation states than lanthanoids?
Ans: In actinoids, the 5f, 6d, and 7s orbitals are very close in energy to each other, so electrons from multiple sub-shells can participate in bonding under different conditions — unlike lanthanoids, where the 4f orbitals are more deeply buried and less involved in bonding, restricting them mostly to the +3 state.
Q. Name one property shared by all actinoid elements that is not true for all lanthanoids.
Ans: Radioactivity — every actinoid element is radioactive, while among lanthanoids only promethium is radioactive; the rest are stable, non-radioactive elements.

⚡ Quick Reference

General d-block config(n−1)d¹⁻¹⁰ ns⁰⁻²
Not true transition elementsZn, Cd, Hg (d¹⁰)
Most common oxidation state (3d)+2
Widest oxidation range (3d)Mn (+2 to +7)
Magnetic moment formulaμ = √n(n+2) BM
Colourless ionsd⁰ and d¹⁰ configurations
Lanthanoid oxidation stateMostly +3
Actinoid natureAll radioactive