JEE Mains Chemistry · Teaching notes
The d- and f-Block Elements — JEE Mains Chemistry
The d- and f-Block Elements has 214 past-year questions from 2021 to 2026, and 46 of them ask for a number rather than an option. About half of those numbers are a spin-only magnetic moment: find the ion a clue points to, count its unpaired d or f electrons, and use √(n(n+2)) BM. The rest is recall with a few rules behind it: ions lose their s electrons first, a higher oxidation state makes an oxide more acidic and an ion a stronger oxidant, and the medium decides what permanganate and dichromate turn into. The cation tests of salt analysis are here too, because most of them are d-block chemistry.
Every subtopic, worked example, formula and trap in one printable document — answers shown, ready to share.
Subtopic notes
Electronic Configuration and General Properties
24 PYQsThe d-block fills the (n−1)d subshell after ns, its ions lose the ns electrons first, and the half-filled and filled d shells explain the odd configurations, the kinks in ionisation enthalpy and the soft, low-melting zinc group.
Oxidation States and Electrode Potentials
27 PYQsTransition metals show many oxidation states because their (n−1)d and ns electrons are close in energy; the E° values of the M²⁺/M and M³⁺/M²⁺ couples then say which ions reduce water or acid, which are strong oxidants, and why Cu²⁺ rather than Cu⁺ survives in water.
Magnetic Moment and Colour
25 PYQsAn ion's unpaired d electrons give its spin-only magnetic moment, √(n(n+2)) BM, and a partly filled d shell lets it absorb visible light, so d⁰ and d¹⁰ ions are colourless and diamagnetic.
Oxides of Transition Metals
18 PYQsA transition metal's oxides turn from basic to amphoteric to acidic as its oxidation state rises, and the highest oxides such as Mn₂O₇ are covalent molecules built from shared tetrahedra.
Potassium Dichromate and Chromium Compounds
26 PYQsChromite ore is roasted to sodium chromate and turned into K₂Cr₂O₇, whose orange Cr₂O₇²⁻ and yellow CrO₄²⁻ interconvert with pH at a constant +6; in acid dichromate is a six-electron oxidant, and with a chloride it gives red CrO₂Cl₂, the start of the blue CrO₅ test.
Potassium Permanganate and Manganese Compounds
28 PYQsMnO₂ fused with KOH and an oxidant gives green manganate, which disproportionates or is oxidised to purple permanganate; permanganate is then a five-electron oxidant in acid, ending at Mn²⁺, and a three-electron oxidant in neutral or faintly alkaline solution, ending at MnO₂.
Lanthanoids and Actinoids
31 PYQsThe lanthanoids Ce to Lu fill the buried 4f subshell and are almost all +3, with Ce⁴⁺ and Tb⁴⁺ as oxidants and Eu²⁺ and Yb²⁺ as reductants; the actinoids fill 5f, which is less buried, so they bond more and show more oxidation states.
Qualitative Analysis of Ions
35 PYQsCations are separated into groups by a sequence of group reagents and then confirmed by a coloured precipitate or complex, while borax beads, the brown ring and a few named anion tests cover the rest of the salt-analysis scheme.
Formula & revision sheet
8 formulas · 13 reference tables · 42 gotchas across all subtopics — the exam-eve cheat-sheet
Formula & revision sheet
8 formulas · 13 reference tables · 42 gotchas across all subtopics — the exam-eve cheat-sheet
Reference tables (2)
Ionisation enthalpies across the 3d series10 rows
| Metal | First IE (kJ/mol) | Second IE (kJ/mol) | Third IE (kJ/mol) | What it shows |
|---|---|---|---|---|
| Sc | 631 | 1235 | 2389 | Sc³⁺ is d⁰, so +3 is easy and is its only state |
| Ti | 656 | 1309 | 2652 | A steady rise with the nuclear charge |
| V | 650 | 1414 | 2828 | A steady rise with the nuclear charge |
| Cr | 653 | 1592 | 2987 | Low first IE (lone 4s); high second IE (breaks 3d⁵) Highest second IE from Sc to Fe, but its third IE is below Mn's. |
| Mn | 717 | 1509 | 3248 | High third IE: Mn²⁺ is 3d⁵ |
| Fe | 762 | 1561 | 2957 | Low third IE: Fe²⁺ loses one electron to reach 3d⁵ |
| Co | 758 | 1644 | 3232 | Rises again after the dip at Fe |
| Ni | 736 | 1752 | 3393 | Rises again after the dip at Fe |
| Cu | 745 | 1958 | 3554 | Highest second IE of the series: Cu⁺ is 3d¹⁰ |
| Zn | 906 | 1734 | 3833 | Highest first IE: a filled 4s² over a filled 3d¹⁰ |
Melting points, atomisation, density, catalysts and interstitial compounds10 rows
| Metal | Atomisation enthalpy (kJ/mol) | Metallic radius (pm) | Density (g/cm³) | Point tested |
|---|---|---|---|---|
| Sc | 326 | 164 | 2.99 | Largest atom of the series |
| Ti | 473 | 147 | 4.51 | Ti⁴⁺ in TiCl₄ is d⁰: the Ziegler–Natta catalyst is diamagnetic |
| V | 515 | 135 | 6.11 | Highest atomisation enthalpy of the 3d series |
| Cr | 397 | 129 | 7.19 | Smallest radius among Sc, Ti, V, Cr, Mn and Zn |
| Mn | 281 | 137 | 7.21 | A dip: 3d⁵ holds its d electrons out of the bonding |
| Fe | 416 | 126 | 7.87 | Catalyst of the Haber process |
| Co | 425 | 125 | 8.90 | Dense, high-melting |
| Ni | 430 | 125 | 8.91 | Catalyst for hydrogenating oils |
| Cu | 339 | 128 | 8.96 | Densest of the listed 3d metals |
| Zn | 126 | 137 | 7.14 | Lowest atomisation enthalpy: soft, low-melting Zn, Cd and Hg have filled d subshells; they are the soft end of each series. |
Watch out for (6)
- Ions lose 4s before 3d→ Configurations of d-block atoms and ions
- The 4d series has more exceptions than the 3d→ Configurations of d-block atoms and ions
- Cr beats Mn on the second IE only→ Ionisation enthalpies across the 3d series
- Cr is not the highest second IE of the whole series→ Ionisation enthalpies across the 3d series
- A catalyst weakens bonds and uses 4s electrons too→ Melting points, atomisation, density, catalysts and interstitial compounds
- The group-7/group-8 order flips in the 5d series→ Melting points, atomisation, density, catalysts and interstitial compounds
Reference tables (2)
Oxidation states of the 3d metals10 rows
| Metal | Oxidation states | Most stable in water | Highest fluoride and oxide |
|---|---|---|---|
| Sc | +3 | +3 | , The only 3d metal with a single oxidation state besides 0. |
| Ti | +2, +3, +4 | +4 | , |
| V | +2, +3, +4, +5 | +4 (as ) and +5 | , |
| Cr | +2, +3, +4, +5, +6 | +3 | , |
| Mn | +2, +3, +4, +5, +6, +7 | +2 | , Highest oxide (+7) and highest fluoride (+4) differ by 3. |
| Fe | +2, +3 (+4 and +6 rare) | +3 in air, +2 without it | , |
| Co | +2, +3, +4 | +2 | , |
| Ni | +2, +3, +4 | +2 | , NiO |
| Cu | +1, +2 | +2 | , CuO |
| Zn | +2 | +2 | , ZnO |
E° values: which ions reduce acid and which oxidise9 rows
| Metal | E° of M²⁺/M (V) | E° of M³⁺/M²⁺ (V) | What it means |
|---|---|---|---|
| Ti | −1.63 | −0.37 | Ti²⁺ is a reductant and liberates hydrogen |
| V | −1.18 | −0.26 | V²⁺ is a reductant and liberates hydrogen |
| Cr | −0.90 | −0.41 | Cr²⁺ is a strong reductant: it becomes Cr³⁺, d³ |
| Mn | −1.18 | +1.57 | Mn³⁺ is a strong oxidant: it becomes Mn²⁺, d⁵ |
| Fe | −0.44 | +0.77 | Fe³⁺ is a mild oxidant; lower than Mn because Fe³⁺ is d⁵ |
| Co | −0.28 | +1.97 | Co³⁺ is the strongest oxidant of the series in water |
| Ni | −0.25 | No simple Ni³⁺ in water | Ni²⁺ is the stable ion |
| Cu | +0.34 | No Cu³⁺ in water | The only positive M²⁺/M value: Cu gives no hydrogen with dilute acid Cu has the highest M²⁺/M value of the 3d series. |
| Zn | −0.76 | No Zn³⁺ in water | Zn²⁺ (d¹⁰) is the only ion |
Watch out for (6)
- The d-block trend runs the other way from the p-block→ Oxidation states of the 3d metals
- Scandium has no +4→ Oxidation states of the 3d metals
- Iron's M³⁺/M²⁺ value is not above manganese's→ E° values: which ions reduce acid and which oxidise
- Count the free ion unless a complex is named→ E° values: which ions reduce acid and which oxidise
- The hydration enthalpy of Cu²⁺ is larger, not smaller→ Why Cu²⁺ is the stable copper ion in water
- Cu₂I₂ and CuI are one compound→ Why Cu²⁺ is the stable copper ion in water
Reference tables (1)
Colours of the aqueous 3d ions17 rows
| Ion | d configuration | Unpaired electrons (free ion) | Colour in water |
|---|---|---|---|
| 3d⁰ | 0 | Colourless | |
| 3d⁰ | 0 | Colourless | |
| 3d¹ | 1 | Purple | |
| 3d¹ | 1 | Blue | |
| 3d² | 2 | Green | |
| 3d³ | 3 | Violet | |
| 3d³ | 3 | Violet | |
| 3d⁴ | 4 | Violet V²⁺, Cr³⁺ and Mn³⁺ are all violet. | |
| 3d⁴ | 4 | Blue | |
| 3d⁵ | 5 | Pink | |
| 3d⁵ | 5 | Yellow | |
| 3d⁶ | 4 | Green | |
| 3d⁶ | 4 | Blue | |
| 3d⁷ | 3 | Pink | |
| 3d⁸ | 2 | Green | |
| 3d⁹ | 1 | Blue | |
| 3d¹⁰ | 0 | Colourless |
Watch out for (4)
- Past d⁵ the electrons pair up→ The spin-only magnetic moment
- Take the 4s electrons off first→ The spin-only magnetic moment
- Intensely coloured is not paramagnetic→ Colours of the aqueous 3d ions
- Copper is colourless as Cu⁺→ Colours of the aqueous 3d ions
Reference tables (2)
Basic, amphoteric and acidic oxides9 rows
| Oxide | Metal oxidation state | Character | With acid or alkali |
|---|---|---|---|
| +3 | Basic | Dissolves in acid to give salts | |
| +4 | Less basic (weakly amphoteric) | Dissolves in acid to give salts | |
| +5 | Amphoteric, mainly acidic | in alkali, in acid The contact-process catalyst, but not a basic oxide. | |
| CrO | +2 | Basic | Dissolves in acid to give |
| +3 | Amphoteric | Reacts with both acid and alkali | |
| +6 | Acidic | With water gives chromic acid, | |
| MnO | +2 | Basic | Dissolves in acid to give |
| +7 | Acidic | With water gives permanganic acid, | |
| ZnO | +2 | Amphoteric | Zincate, , in excess alkali |
Structure of Mn₂O₇ and the mixed oxides6 rows
| Oxide | Metal oxidation state | Structure or make-up | Point tested |
|---|---|---|---|
| +7 | Two tetrahedra sharing one O | 6 terminal Mn=O, 1 bridging O, covalent green oil Mn is tetrahedral, not octahedral, and there is no Mn–Mn bond. | |
| +6 | Chains of tetrahedra sharing corners | Acidic, strong oxidant | |
| +2 and +3 | MnO· | Mixed oxide; paramagnetic | |
| +2 and +3 | FeO· | Mixed oxide; magnetite, strongly magnetic | |
| +2 and +3 | CoO· | Mixed oxide | |
| +3 | One oxidation state | Not a mixed oxide |
Watch out for (4)
- V₂O₄ with acid gives VO²⁺→ Basic, amphoteric and acidic oxides
- Ionic character falls as the oxidation state rises→ Basic, amphoteric and acidic oxides
- Mn₂O₇ is covalent, not ionic→ Structure of Mn₂O₇ and the mixed oxides
- An M₂O₃ or M₃O₄ formula alone does not decide 'mixed'→ Structure of Mn₂O₇ and the mixed oxides
Formulas (3)
Watch out for (6)
- Chromate to dichromate is not a redox change→ From chromite ore to K₂Cr₂O₇, and chromate against dichromate
- Only the potassium salt is a primary standard→ From chromite ore to K₂Cr₂O₇, and chromate against dichromate
- Electrons per what?→ Acidified dichromate as an oxidising agent
- The green paper is not proof of SO₂ alone→ Acidified dichromate as an oxidising agent
- CrO₅ is +6, not +10→ The chromyl chloride test and blue CrO₅
- The formula is CrO₂Cl₂→ The chromyl chloride test and blue CrO₅
Formulas (2)
Watch out for (4)
- Manganate +6, permanganate +7→ Making KMnO₄: manganate, permanganate and disproportionation
- Peroxodisulphate goes all the way to permanganate→ Making KMnO₄: manganate, permanganate and disproportionation
- Permanganate oxidises; it never reduces→ Permanganate as an oxidant: acid against neutral
- Count the water of crystallisation when the question does→ Permanganate as an oxidant: acid against neutral
Reference tables (3)
Lanthanoid configurations and 4f counts15 rows
| Element (Z) | Atom | M³⁺ ion | Other common ion |
|---|---|---|---|
| La (57) | [Xe]5d¹6s² | 4f⁰, colourless | Shows only +3 |
| Ce (58) | [Xe]4f¹5d¹6s² | 4f¹ | Ce⁴⁺, 4f⁰ |
| Pr (59) | [Xe]4f³6s² | 4f² | Pr⁴⁺, 4f¹ |
| Nd (60) | [Xe]4f⁴6s² | 4f³ | Nd²⁺ 4f⁴; Nd⁴⁺ 4f² |
| Pm (61) | [Xe]4f⁵6s² | 4f⁴ | Shows only +3 |
| Sm (62) | [Xe]4f⁶6s² | 4f⁵ | Sm²⁺, 4f⁶ |
| Eu (63) | [Xe]4f⁷6s² | 4f⁶ | Eu²⁺, 4f⁷ Eu²⁺ and Gd³⁺ are the two 4f⁷ ions. |
| Gd (64) | [Xe]4f⁷5d¹6s² | 4f⁷ | Shows only +3 |
| Tb (65) | [Xe]4f⁹6s² | 4f⁸ | Tb⁴⁺, 4f⁷ |
| Dy (66) | [Xe]4f¹⁰6s² | 4f⁹ | Dy⁴⁺, 4f⁸ |
| Ho (67) | [Xe]4f¹¹6s² | 4f¹⁰ | Shows only +3 |
| Er (68) | [Xe]4f¹²6s² | 4f¹¹ | Shows only +3 |
| Tm (69) | [Xe]4f¹³6s² | 4f¹² | Tm²⁺, 4f¹³ |
| Yb (70) | [Xe]4f¹⁴6s² | 4f¹³ | Yb²⁺, 4f¹⁴ |
| Lu (71) | [Xe]4f¹⁴5d¹6s² | 4f¹⁴, colourless | Shows only +3 |
Lanthanoid ions outside the +3 state7 rows
| Ion | 4f configuration | Why it exists | Behaviour |
|---|---|---|---|
| Ce⁴⁺ | 4f⁰ | Noble-gas (Xe) core | Strong oxidant; E° = +1.74 V back to Ce³⁺ The noble-gas core favours forming Ce⁴⁺, but Ce³⁺ is still the more stable state in water. |
| Tb⁴⁺ | 4f⁷ | Half-filled 4f | Stronger oxidant than Ce⁴⁺; found in |
| Pr⁴⁺, Nd⁴⁺, Dy⁴⁺ | 4f¹, 4f², 4f⁸ | Stabilised only in the solid oxide | Found only as ; oxidants |
| Eu²⁺ | 4f⁷ | Half-filled 4f after losing 6s² | Strong reductant; turns into Eu³⁺ |
| Yb²⁺ | 4f¹⁴ | Full 4f after losing 6s² | Reductant; diamagnetic |
| Sm²⁺ | 4f⁶ | Close to 4f⁷ | Reductant |
| Ln³⁺ (all) | 4f¹ to 4f¹⁴ | Loss of 6s² and one more electron | The stable state of every lanthanoid |
Actinoids compared with lanthanoids6 rows
| Property | Lanthanoids | Actinoids |
|---|---|---|
| Subshell being filled | 4f, deeply buried | 5f, less buried, reaches further out |
| f electrons in bonding | Very little | To a far greater extent |
| Oxidation states | Mostly +3; a few +2 and +4 | +3 common; up to +7 (Np) in the first half |
| Contraction along the series | Lanthanoid contraction | Actinoid contraction: larger from element to element |
| Radioactivity | Only Pm | All of them |
| Example configuration | Gd [Xe]4f⁷5d¹6s² | Cm [Rn]5f⁷6d¹7s² |
Watch out for (6)
- The 5d electron in Gd and Lu does not change the ion→ Lanthanoid configurations and 4f counts
- Isoelectronic means the same total, Z minus charge→ Lanthanoid configurations and 4f counts
- A noble-gas core does not make Ce⁴⁺ the stable state→ Lanthanoid ions outside the +3 state
- 4f⁷ does not stop Eu²⁺ reducing→ Lanthanoid ions outside the +3 state
- Name the right contraction→ Actinoids compared with lanthanoids
- Cm has eight unpaired electrons→ Actinoids compared with lanthanoids
Reference tables (3)
Cation groups and their group reagents7 rows
| Group | Cations | Group reagent | Precipitated as |
|---|---|---|---|
| Zero | No group reagent; heat with NaOH | Ammonia gas, confirmed with Nessler's reagent | |
| I | Dilute HCl | White | |
| II | , , , | in dilute HCl | Sulphides: PbS and CuS black, CdS and yellow Pb²⁺ shows up in group I and again in group II, because PbCl₂ is partly soluble. |
| III | , , | with | Hydroxides: reddish-brown, white, green |
| IV | , , , | in | Sulphides: ZnS white, MnS buff, CoS and NiS black |
| V | , , | in | White carbonates |
| VI | No group reagent; ammonium phosphate | White |
Confirmatory tests and the colours they give11 rows
| Ion | Reagent | Observation | Product |
|---|---|---|---|
| in acetic acid | Chocolate-brown precipitate | ||
| Prussian blue precipitate | |||
| KSCN | Blood-red colour | ||
| , after neutralising | White or bluish-white precipitate | ||
| Dimethylglyoxime in | Brilliant red precipitate | , five-membered chelate rings | |
| in acetic acid | Yellow precipitate | ||
| NaOH, then left in air | White precipitate turning brown | ||
| Ammonium phosphate in | White crystalline precipitate | ||
| Nessler's reagent, in KOH | Brown precipitate | Iodide of Millon's base | |
| Ammonium molybdate in | Canary-yellow precipitate | ||
| Sodium nitroprusside | Violet colour |
Borax beads, anion tests and Mohr's salt10 rows
| Test | Conditions | Observation | Reason |
|---|---|---|---|
| Borax bead: Cu | Oxidising flame | Green when hot, blue when cold | Copper metaborate; red and opaque in the reducing flame |
| Borax bead: Fe | Oxidising and reducing flame | Yellowish-brown hot, yellow cold (oxidising); green (reducing) | Iron(III) metaborate; iron(II) in the reducing flame |
| Borax bead: Ni | Oxidising flame | Violet when hot, reddish-brown when cold | Nickel metaborate |
| Borax bead: Mn | Oxidising flame | Violet (amethyst), hot and cold | Manganese metaborate; colourless in the reducing flame |
| Borax bead: Co | Either flame | Blue, hot and cold | Cobalt metaborate |
| Borax bead: Cr | Either flame | Green, hot and cold | Chromium metaborate |
| Brown ring () | Fresh , then conc. down the side | Brown ring where the layers meet | , Fe +1 The complex is nitrosoferrous sulphate. |
| Acetate () | Neutral , then boil | Deep red colour, then a brown-red precipitate | Basic ferric acetate, Fe +3 |
| Chloride () | in dilute , then | Curdy white precipitate that dissolves | AgCl, then |
| Mohr's salt preparation | Dilute added; no prolonged heating | Pale green crystals | Acid stops hydrolysis; heating would oxidise |
Watch out for (6)
- Mn²⁺ is group IV, Fe³⁺ is group III→ Cation groups and their group reagents
- Acid decides which sulphides come down→ Cation groups and their group reagents
- The dimethylglyoxime rings are five-membered→ Confirmatory tests and the colours they give
- Nessler's reagent has no nitrogen→ Confirmatory tests and the colours they give
- Iron in the brown ring is +1→ Borax beads, anion tests and Mohr's salt
- The acetate test needs NEUTRAL ferric chloride→ Borax beads, anion tests and Mohr's salt
PYQ weightage by concept
21 concepts · 214 PYQs — where the marks actually sit, so you know what to drill first
PYQ weightage by concept
21 concepts · 214 PYQs — where the marks actually sit, so you know what to drill first
| Concept | PYQs | Share |
|---|---|---|
| Melting points, atomisation, density, catalysts and interstitial compounds | 10 | 5% |
| Configurations of d-block atoms and ions | 7 | 3% |
| Ionisation enthalpies across the 3d series | 7 | 3% |
| Concept | PYQs | Share |
|---|---|---|
| E° values: which ions reduce acid and which oxidise | 13 | 6% |
| Oxidation states of the 3d metals | 10 | 5% |
| Why Cu²⁺ is the stable copper ion in water | 4 | 2% |
| Concept | PYQs | Share |
|---|---|---|
| The spin-only magnetic moment | 16 | 7% |
| Colours of the aqueous 3d ions | 9 | 4% |
| Concept | PYQs | Share |
|---|---|---|
| Basic, amphoteric and acidic oxides | 12 | 6% |
| Structure of Mn₂O₇ and the mixed oxides | 6 | 3% |
| Concept | PYQs | Share |
|---|---|---|
| From chromite ore to K₂Cr₂O₇, and chromate against dichromate | 11 | 5% |
| The chromyl chloride test and blue CrO₅ | 10 | 5% |
| Acidified dichromate as an oxidising agent | 5 | 2% |
| Concept | PYQs | Share |
|---|---|---|
| Making KMnO₄: manganate, permanganate and disproportionation | 14 | 7% |
| Permanganate as an oxidant: acid against neutral | 14 | 7% |
| Concept | PYQs | Share |
|---|---|---|
| Lanthanoid configurations and 4f counts | 13 | 6% |
| Lanthanoid ions outside the +3 state | 13 | 6% |
| Actinoids compared with lanthanoids | 5 | 2% |
| Concept | PYQs | Share |
|---|---|---|
| Confirmatory tests and the colours they give | 16 | 7% |
| Borax beads, anion tests and Mohr's salt | 10 | 5% |
| Cation groups and their group reagents | 9 | 4% |
Test yourself on The d- and f-Block Elements
20 past JEE Mains questions from this chapter, timed at 48 minutes and marked the way the exam marks it. You see your score and every answer the moment you finish. Free to start.