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The d- and f-Block Elements

The d- and f-Block ElementsNEET Chemistry · Class 12 · NCERT Chapter 4

Introduction: What Are d- and f-Block Elements?

The d-block elements (also called transition metals) are those in which the last electron enters the d-subshell of the penultimate energy level. They occupy Groups 3 to 12 of the periodic table. The 3d series runs from Sc (Z=21) to Zn (Z=30), the 4d series from Y (Z=39) to Cd (Z=48), and the 5d series from La/Hf (Z=57/72) to Hg (Z=80).

The f-block elements are those in which the last electron enters the f-subshell. They are divided into:

  • Lanthanoids: La (Z=57) to Lu (Z=71) — filling the 4f-subshell
  • Actinoids: Ac (Z=89) to Lr (Z=103) — filling the 5f-subshell

The term transition metals strictly refers to elements whose atoms or ions have an incomplete d-subshell. By this definition, Zn (3d10 4s2) and Sc (only +3 ion, 3d0) are borderline — Zn2+ has a complete 3d10 shell, and Sc3+ has no d-electrons. For NEET, treat Sc through Zn as the 3d series.

Electronic Configuration and Properties of 3d Metals

The general configuration of 3d elements is . Two exceptions break the expected pattern because half-filled and fully filled d-subshells are extra stable:

  • Cr (Z=24): (not ) — half-filled 3d5 is more stable
  • Cu (Z=29): (not ) — fully filled 3d10 is more stable

Full Table: 3d Series Electronic Configurations

ElementSymbolZConfigurationNote
ScandiumSc21
TitaniumTi22
VanadiumV23
ChromiumCr24Exception: half-filled 3d5
ManganeseMn25
IronFe26
CobaltCo27
NickelNi28
CopperCu29Exception: fully filled 3d10
ZincZn30
Sc
Ti
V
Cr
Mn
Fe
Co
Ni
Cu
Zn

Manganese (Mn) — Z = 25

Atomic config

[Ar] 3d⁵ 4s²

Mn²⁺ config

[Ar] 3d⁵

Oxidation states

+2, +3, +4, +6, +7

Unpaired e⁻ (common ion)

5

Magnetic moment μ

5.92 BM

Aqueous ion colour

Pale pink (Mn²⁺)

Widest range of oxidation states. MnO₄⁻ (Mn⁷⁺) is purple; MnO₂ is black.

Electronic Configuration of Ions

When a transition metal loses electrons to form an ion, the 4s electrons are lost before the 3d electrons. This is because 4s is higher in energy for the cation. So Fe (3d6 4s2) loses 4s2 to give Fe2+ (3d6), then loses one more 3d to give Fe3+ (3d5).

Key ion configurations to memorise:

  • Fe2+: [Ar] 3d6 (4 unpaired electrons)
  • Fe3+: [Ar] 3d5 (5 unpaired electrons)
  • Cu2+: [Ar] 3d9 (1 unpaired electron)
  • Mn2+: [Ar] 3d5 (5 unpaired electrons)
  • Cr3+: [Ar] 3d3 (3 unpaired electrons)

Characteristic Properties of Transition Metals

1. Variable Oxidation States

Transition metals show multiple oxidation states because both 4s and 3d electrons have similar energies and can participate in bonding. The number of oxidation states increases to a maximum near the middle of the series (Mn shows the most: +2 to +7) then decreases.

At the ends: Sc shows only +3; Zn shows only +2. This is because Sc has only one 3d electron (so +2 would leave 3d1, which it loses completely for +3), and Zn has 3d10 (fully stable, not used in bonding).

2. Colour of Transition Metal Ions

Transition metal ions in solution are often coloured because of d-d electronic transitions. When white light falls on an ion with a partially filled d-subshell, an electron absorbs a specific wavelength and jumps from a lower d-orbital to a higher d-orbital. The colour you see is the complementary colour to what is absorbed.

IonConfig.Unpaired e-Colour in water
Sc3+3d00Colourless (no d-d transition)
Ti3+3d11Purple
V3+3d22Green
Cr3+3d33Violet/blue-green
Mn2+3d55Pale pink (faint)
Fe3+3d55Pale yellow/brown
Fe2+3d64Pale green
Co2+3d73Pink
Ni2+3d82Green
Cu2+3d91Blue
Zn2+3d100Colourless (full d-shell)

Ions with 3d0 (empty) or 3d10 (full) d-subshells are colourless because no d-d transition is possible. MnO4- is intensely purple because of charge transfer (O to Mn), not a d-d transition.

3. Magnetic Properties

Substances with unpaired electrons are paramagnetic (attracted by a magnetic field). Substances with no unpaired electrons are diamagnetic (weakly repelled). The spin-only magnetic moment formula for NEET is:

where n is the number of unpaired electrons.

Example: Fe3+ has 3d5 with 5 unpaired electrons: BM.

4. Catalytic Properties

Transition metals are excellent catalysts because:

  • Variable oxidation states: they can form unstable intermediate compounds that break down to give the product, providing an alternative lower-energy pathway.
  • Surface adsorption: as metals or metal oxides, they adsorb reactant molecules on their surface. Bonds in reactant molecules weaken, lowering activation energy.

Key examples: Fe in the Haber process (N2 + 3H2 → 2NH3), V2O5 in the Contact process (2SO2 + O2 → 2SO3), Pt/Pd in catalytic converters, Ni in hydrogenation of oils, MnO2 as the catalyst in KClO3 decomposition.

5. Interstitial Compounds

Transition metals can trap small non-metal atoms (H, C, N, B) in the holes (interstices) of their crystal lattice to form interstitial compounds. Examples: steel (Fe + C), metal hydrides (TiH2), metal nitrides (Fe2N).

These compounds are: harder and less malleable than the pure metal; have higher melting points; retain metallic conductivity; and their composition is non-stoichiometric (variable ratio).

6. Alloy Formation

Transition metals readily form alloys (solid solutions with other metals) because they have similar atomic radii and can substitute for each other in the crystal lattice. Examples: stainless steel (Fe + Cr + Ni), brass (Cu + Zn), bronze (Cu + Sn).

Metal

Mn

Oxidation state

+7

d-electrons

3d0

Unpaired electrons

0

Magnetic moment

0 (diamagnetic)

How to find oxidation state

K is +1, each O is -2. +1 + Mn + 4(-2) = 0. Mn = +7.

Mn⁷⁺ has d⁰ configuration. Purple colour comes from charge-transfer, not d-d transitions.

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Important Compounds: KMnO4 and K2Cr2O7

Potassium Permanganate, KMnO4

KMnO4 is a dark purple crystalline solid. In aqueous solution it gives an intense purple colour. Mn is in the +7 oxidation state (check: K = +1, O = -2; so +1 + x + 7(-2) = 0 gives x = +7).

Preparation: MnO2 is first fused with KOH in the presence of an oxidising agent (KNO3 or air) to give K2MnO4 (green), which is then oxidised (by Cl2 or electrolysis) to KMnO4.

KMnO4 Reactions in Different Media

MediumReduction product of MnHalf-reactionColour change
Acidic (H2SO4)Mn2+ (colourless)Purple → colourless
Neutral / faintly alkalineMnO2 (brown ppt.)Purple → brown
Strongly alkalineMnO42- (green)Purple → green

Key reactions of KMnO4 in acidic medium:

  • With FeSO4: oxidises Fe2+ to Fe3+
  • With oxalic acid:
  • With H2O2 (acting as reducing agent here):

Potassium Dichromate, K2Cr2O7

K2Cr2O7 is an orange crystalline solid. Cr is in the +6 oxidation state. In the Cr2O72- ion, two CrO4 tetrahedra share one oxygen atom.

Interconversion of CrO42- and Cr2O72-:

Chromate (CrO42-, yellow) in basic medium; dichromate (Cr2O72-, orange) in acidic medium. This reversible equilibrium is a classic NEET question on the effect of pH on chromium chemistry.

K2Cr2O7 as an oxidising agent in acidic medium:

Colour change: orange (Cr2O72-) to green (Cr3+). K2Cr2O7 oxidises: I- to I2, Fe2+ to Fe3+, SO32- to SO42-, and is used in volumetric analysis (dichromate titrations).

Lanthanoids and Lanthanoid Contraction

Lanthanoids are the 15 elements from La (Z=57) to Lu (Z=71). They fill the 4f-subshell. Their general configuration is .

Electronic Configurations of Select Lanthanoids

ElementZConfigurationCommon ox. state(s)
La (Lanthanum)57+3
Ce (Cerium)58+3, +4
Nd (Neodymium)60+3
Eu (Europium)63+2, +3
Gd (Gadolinium)64+3
Tb (Terbium)65+3, +4
Yb (Ytterbium)70+2, +3
Lu (Lutetium)71+3

Lanthanoid Contraction

As you move from La to Lu, one proton and one 4f-electron are added at each step. The 4f-orbitals are poor at shielding (they have many nodes and a complex shape, so they do not effectively screen the nucleus). The effective nuclear charge on the outer 6s electrons increases steadily. This pulls in the electron cloud, causing the atomic and ionic radii to decrease progressively from La to Lu. This effect is called lanthanoid contraction.

Consequences of lanthanoid contraction:

  • 4d and 5d metals in the same group have nearly equal radii: The expected size increase from period 4 to period 5 (4d to 5d) is cancelled by lanthanoid contraction. So Zr and Hf, Nb and Ta, Mo and W are almost the same size. This makes them chemically very similar and very hard to separate industrially.
  • Density and hardness of 5d metals: Because the radii do not increase as expected, 5d metals are denser than 4d metals in the same group. Osmium (Os) is one of the densest metals known.
  • Basicity decreases La to Lu: As the ionic radius of Ln3+ decreases from La to Lu, the metal-oxygen bond becomes stronger. This means the hydroxides become less basic from La(OH)3 (strongly basic) to Lu(OH)3 (weakly basic).

Oxidation States of Lanthanoids

All lanthanoids show the +3 oxidation state (most stable). Exceptions:

  • Ce4+: stable because Ce4+ achieves empty 4f0 shell. Ce4+ is a mild oxidising agent used in cerium titrations.
  • Eu2+ and Sm2+: stable because losing one fewer electron gives 4f7 (half-filled, Eu) and 4f6 (near-half-filled, Sm).
  • Yb2+: has 4f14 (fully filled), hence extra stable.

Actinoids

Actinoids are the 15 elements from Ac (Z=89) to Lr (Z=103). They fill the 5f-subshell. Their general configuration is .

Key Differences: Actinoids vs Lanthanoids

PropertyLanthanoidsActinoids
Subshell filling4f (1 to 14)5f (1 to 14)
RadioactivityMost are stable (except Pm)All are radioactive
Oxidation statesMainly +3+2 to +7 (wide range)
Why wide ox. states4f, 5d, 6s energies differ significantly5f, 6d, 7s are very close in energy
ContractionLanthanoid contraction (smaller per step)Actinoid contraction (larger per step)
f-orbital size4f — deeply buried, poor shielding5f — more diffuse, accessible for bonding
Important elementsCe, Nd (magnets), Eu (phosphors), LaU and Th (nuclear fuel), Pu (weapons)

Why Actinoids Show More Oxidation States

In lanthanoids, the 4f-orbitals are deeply embedded below the 5s and 5p-orbitals and have very high ionisation enthalpies. The 4f, 5d, and 6s energy levels differ enough that only 6s (and occasionally 5d) electrons participate in bonding. In actinoids, the 5f, 6d, and 7s orbitals are much closer in energy and spatially more extended. More electrons can participate in bonding, so actinoids like U (can be +3 to +6) and Np (can reach +7) show many oxidation states.

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Worked NEET Problems

1

NEET-style problem · Electronic Configuration Exception

Question

The electronic configuration of Cr (Z=24) is [Ar] 3d5 4s1 instead of [Ar] 3d4 4s2. What is the reason for this exception?

Solution

Answer: A half-filled 3d5 subshell is extra stable. When all five d-orbitals are singly occupied (symmetric arrangement), electron-electron repulsion is minimised and the exchange energy is maximum. This stability outweighs the energy cost of having only one electron in 4s instead of two. The same logic applies to Cu (3d10 4s1) — a fully filled 3d10 is also extra stable. These are the only two exceptions in the 3d series.

2

NEET-style problem · Magnetic Moment Calculation

Question

Calculate the spin-only magnetic moment of Co2+ (Z = 27).

Solution

Step 1: Write the configuration of Co: [Ar] 3d7 4s2.
Step 2: Co2+ loses 2 electrons (4s2 first): [Ar] 3d7.
Step 3: Fill 3d7 using Hund's rule. The five d-orbitals each get one electron first (5 total), then 2 more pair up: arrangement is 3 paired orbitals + 3 empty? No: 7 electrons in 5 orbitals: first 5 are unpaired (one per orbital), then 2 more pair with two of them. Result: 3 unpaired electrons.
Step 4: μ = √(3 × 5) = √15 ≈ 3.87 BM.

3

NEET-style problem · Colour of Transition Metal Ions

Question

Which of the following aqueous ions is colourless and why? (A) Cu2+ (B) Fe3+ (C) Zn2+ (D) Mn2+

Solution

Answer: (C) Zn2+. Zn2+ has configuration [Ar] 3d10. All five d-orbitals are completely filled (two electrons each). For a d-d electronic transition to produce colour, there must be a partially filled d-subshell — at least one lower-energy d-orbital with an electron AND one higher-energy d-orbital that is empty. Since 3d10 has no empty d-orbital, no d-d transition occurs in the visible range. Hence Zn2+ is colourless. Cu2+ (3d9), Fe3+ (3d5), and Mn2+ (3d5) all have partially filled d-orbitals and are coloured.

4

NEET-style problem · KMnO4 in Acidic Medium

Question

What is the oxidation state of Mn in the product when KMnO4 reacts with dilute H2SO4 and FeSO4? Write the ionic equation.

Solution

Answer: In acidic medium, MnO4- is reduced to Mn2+ (+2 state). Ionic equation:
MnO4- + 8H+ + 5e- → Mn2+ + 4H2O
Full reaction: MnO4- + 5Fe2+ + 8H+ → Mn2+ + 5Fe3+ + 4H2O
Colour changes: purple (MnO4-) to nearly colourless (Mn2+); pale green (Fe2+) to pale yellow (Fe3+). This is used in permanganate titrations. Mn goes from +7 to +2, a gain of 5 electrons per Mn.

5

NEET-style problem · Lanthanoid Contraction

Question

Why are Zr (Z=40) and Hf (Z=72) extremely difficult to separate even though they are in different periods?

Solution

Answer: Normally, elements in the same group get larger as you go down the period (4d to 5d). But 14 lanthanoid elements (Z=57-71) come between the 4d and 5d series. As electrons fill the 4f-subshell across the lanthanoids, the effective nuclear charge on the outer electrons increases steadily (4f-electrons shield poorly). This lanthanoid contraction causes the 5d metals to be smaller than expected. The contraction exactly compensates for the expected size increase from period 4 to period 5. So Zr (4d series, [Kr] 4d2 5s2) and Hf (5d series, [Xe] 4f14 5d2 6s2) end up with nearly identical atomic radii (~1.45 Å), similar electronegativities, and similar chemical properties, making separation by chemical means very difficult.

Summary Cheat Sheet

d-Block Quick Reference

TopicKey Fact
Config exceptionsCr = [Ar] 3d5 4s1; Cu = [Ar] 3d10 4s1
Ion formation4s electrons lost before 3d; Fe2+ = 3d6; Fe3+ = 3d5
Max ox. statesMn shows most: +2 to +7; Sc and Zn show only +3 and +2
Colourless ionsSc3+ (3d0) and Zn2+ (3d10) — no d-d transitions
Magnetic momentμ = √(n(n+2)) BM; Fe3+ = 5.92 BM; Co2+ = 3.87 BM
KMnO4 acidicMn7+ → Mn2+; purple → colourless; MnO4- + 8H+ + 5e- → Mn2+
KMnO4 neutralMn7+ → MnO2; purple → brown precipitate
K2Cr2O7Cr is +6; orange (Cr2O72-) → green (Cr3+) in acid; adds H+
Cr2O72- / CrO42-Add acid: chromate (yellow) → dichromate (orange); add base: reverse
Catalytic metalsFe (Haber), V2O5 (Contact), Ni (hydrogenation), Pt (catalytic converter)

f-Block Quick Reference

TopicLanthanoidsActinoids
Z range57 (La) to 71 (Lu)89 (Ac) to 103 (Lr)
Subshell4f5f
Config[Xe] 4f1-14 5d0-1 6s2[Rn] 5f1-14 6d0-1 7s2
RadioactivityNo (except Pm)Yes, all
Ox. statesMainly +3+2 to +7
ExceptionsCe4+; Eu2+, Sm2+, Yb2+U (+3 to +6); Np (+7)
ContractionMakes Zr ≈ Hf, Nb ≈ TaActinoid contraction (larger per step)
Key useCe, Nd (magnets), La (alloys)U, Th (nuclear fuel), Pu

Frequently asked questions

How many questions from d- and f-Block Elements appear in NEET each year?

You can expect 2 to 4 questions from this chapter every year. The most tested topics are electronic configurations (especially Cr and Cu exceptions), colour and magnetic properties of transition metal ions, KMnO4 reactions in different media, and lanthanoid contraction. Knowing the magnetic moment formula and a few key oxidation state examples will cover most of what NEET asks.

Why is the electronic configuration of Cr [Ar] 3d5 4s1 instead of [Ar] 3d4 4s2?

A half-filled d-subshell (3d5) is extra stable because all five d-orbitals are singly occupied. This symmetric arrangement lowers electron-electron repulsion and gives extra exchange energy. So one electron moves from 4s to 3d, giving Cr the configuration [Ar] 3d5 4s1 instead of [Ar] 3d4 4s2. Similarly, Cu is [Ar] 3d10 4s1 rather than [Ar] 3d9 4s2 because a fully filled 3d10 is also extra stable. These two exceptions (Cr and Cu) are almost always asked in NEET.

Why are transition metal ions coloured?

Transition metal ions have partially filled d-orbitals. When white light falls on the ion, electrons absorb specific wavelengths and jump to a higher d-orbital (this is called a d-d transition). The colour you see is the complementary colour of what was absorbed. For example, Cu2+ absorbs orange-red light and appears blue. If all d-orbitals are empty (like Sc3+ or Ti4+) or completely filled (like Cu+ or Zn2+), no d-d transition is possible and the ion is colourless. This is why Sc3+ and Zn2+ solutions are colourless.

What is lanthanoid contraction and what are its consequences?

As you move from La (Z=57) to Lu (Z=71), protons are added to the nucleus and electrons fill the 4f-subshell. The 4f-orbitals have poor shielding ability, so the effective nuclear charge felt by the outer electrons increases steadily across the lanthanoid series. This causes a gradual decrease in atomic and ionic size from La to Lu, called lanthanoid contraction. The main consequences are: (1) the atomic radii of 4d and 5d transition metals in the same group are nearly equal (e.g., Zr and Hf), making them very hard to separate; (2) the 5d metals (W, Re, Os, Ir, Pt, Au) are denser and harder than expected.

How do you calculate the magnetic moment of a transition metal ion?

Use the spin-only formula: μ = √(n(n+2)) BM, where n is the number of unpaired electrons. Steps: (1) write the ground-state electronic configuration of the ion, (2) count unpaired electrons in the d-orbitals. For example, Fe3+ is [Ar] 3d5 (5 unpaired electrons), so μ = √(5 × 7) = √35 = 5.92 BM. Fe2+ is [Ar] 3d6 (4 unpaired), so μ = √(4 × 6) = √24 = 4.90 BM. You only need the spin-only formula for NEET; orbital contributions are ignored.

Why does KMnO4 act as a strong oxidising agent?

In KMnO4, manganese is in the +7 oxidation state. This is very high and unstable, so Mn readily accepts electrons and gets reduced to a lower, more stable state. In acidic medium, Mn7+ is reduced to Mn2+ (colourless): MnO4- + 8H+ + 5e- → Mn2+ + 4H2O. In neutral or faintly alkaline medium, it is reduced to MnO2 (brown precipitate): MnO4- + 2H2O + 3e- → MnO2 + 4OH-. In strongly alkaline medium, it is reduced to MnO42- (green): MnO4- + e- → MnO42-. This versatility makes KMnO4 one of the most important oxidising agents in chemistry.

What is the main difference between lanthanoids and actinoids?

Lanthanoids (La to Lu, Z=57-71) fill the 4f-subshell and are non-radioactive (except promethium). They mainly show the +3 oxidation state with a few exceptions (+2 for Eu, Sm; +4 for Ce, Tb). Actinoids (Ac to Lr, Z=89-103) fill the 5f-subshell and are all radioactive. They show a much wider range of oxidation states (up to +7 for some) because the 5f, 6d, and 7s orbitals are very close in energy. Actinoids like U and Th are used in nuclear reactors; others like Pu in nuclear weapons.

Why are transition metals good catalysts?

Transition metals make good catalysts for two main reasons: (1) Variable oxidation states allow them to provide alternative reaction pathways by forming intermediate compounds that break down more easily than the direct pathway. For example, Fe acts as a catalyst in the Haber process. (2) Large surface area (when used as fine powders or supported metals) allows reactant molecules to adsorb onto the metal surface, which weakens bonds in the reactants and lowers the activation energy. Examples: Pt and Pd catalyse hydrogenation, V2O5 catalyses the oxidation of SO2 to SO3 in the Contact process.

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