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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

Formula & revision sheet

8 formulas · 13 reference tables · 42 gotchas across all subtopics — the exam-eve cheat-sheet

Electronic Configuration and General Properties

Formulas (1)

Reference tables (2)

Ionisation enthalpies across the 3d series10 rows
MetalFirst IE (kJ/mol)Second IE (kJ/mol)Third IE (kJ/mol)What it shows
Sc63112352389Sc³⁺ is d⁰, so +3 is easy and is its only state
Ti65613092652A steady rise with the nuclear charge
V65014142828A steady rise with the nuclear charge
Cr65315922987Low first IE (lone 4s); high second IE (breaks 3d⁵)
Highest second IE from Sc to Fe, but its third IE is below Mn's.
Mn71715093248High third IE: Mn²⁺ is 3d⁵
Fe76215612957Low third IE: Fe²⁺ loses one electron to reach 3d⁵
Co75816443232Rises again after the dip at Fe
Ni73617523393Rises again after the dip at Fe
Cu74519583554Highest second IE of the series: Cu⁺ is 3d¹⁰
Zn90617343833Highest first IE: a filled 4s² over a filled 3d¹⁰
Values rounded to the nearest kJ/mol. The kinks, not the exact numbers, decide the questions.
Melting points, atomisation, density, catalysts and interstitial compounds10 rows
MetalAtomisation enthalpy (kJ/mol)Metallic radius (pm)Density (g/cm³)Point tested
Sc3261642.99Largest atom of the series
Ti4731474.51Ti⁴⁺ in TiCl₄ is d⁰: the Ziegler–Natta catalyst is diamagnetic
V5151356.11Highest atomisation enthalpy of the 3d series
Cr3971297.19Smallest radius among Sc, Ti, V, Cr, Mn and Zn
Mn2811377.21A dip: 3d⁵ holds its d electrons out of the bonding
Fe4161267.87Catalyst of the Haber process
Co4251258.90Dense, high-melting
Ni4301258.91Catalyst for hydrogenating oils
Cu3391288.96Densest of the listed 3d metals
Zn1261377.14Lowest atomisation enthalpy: soft, low-melting
Zn, Cd and Hg have filled d subshells; they are the soft end of each series.
The atomisation enthalpy tracks the number of unpaired d electrons that join the metallic bond.

Watch out for (6)

Oxidation States and Electrode Potentials

Formulas (1)

Reference tables (2)

Oxidation states of the 3d metals10 rows
MetalOxidation statesMost stable in waterHighest fluoride and oxide
Sc+3+3ScF3\mathrm{ScF_3}, Sc2O3\mathrm{Sc_2O_3}
The only 3d metal with a single oxidation state besides 0.
Ti+2, +3, +4+4TiF4\mathrm{TiF_4}, TiO2\mathrm{TiO_2}
V+2, +3, +4, +5+4 (as VO2+\mathrm{VO^{2+}}) and +5VF5\mathrm{VF_5}, V2O5\mathrm{V_2O_5}
Cr+2, +3, +4, +5, +6+3CrF6\mathrm{CrF_6}, CrO3\mathrm{CrO_3}
Mn+2, +3, +4, +5, +6, +7+2MnF4\mathrm{MnF_4}, Mn2O7\mathrm{Mn_2O_7}
Highest oxide (+7) and highest fluoride (+4) differ by 3.
Fe+2, +3 (+4 and +6 rare)+3 in air, +2 without itFeF3\mathrm{FeF_3}, Fe2O3\mathrm{Fe_2O_3}
Co+2, +3, +4+2CoF3\mathrm{CoF_3}, Co3O4\mathrm{Co_3O_4}
Ni+2, +3, +4+2NiF2\mathrm{NiF_2}, NiO
Cu+1, +2+2CuF2\mathrm{CuF_2}, CuO
Zn+2+2ZnF2\mathrm{ZnF_2}, ZnO
The number of states peaks at Mn; the ends of the series (Sc, Zn) show one.
E° values: which ions reduce acid and which oxidise9 rows
MetalE° of M²⁺/M (V)E° of M³⁺/M²⁺ (V)What it means
Ti−1.63−0.37Ti²⁺ is a reductant and liberates hydrogen
V−1.18−0.26V²⁺ is a reductant and liberates hydrogen
Cr−0.90−0.41Cr²⁺ is a strong reductant: it becomes Cr³⁺, d³
Mn−1.18+1.57Mn³⁺ is a strong oxidant: it becomes Mn²⁺, d⁵
Fe−0.44+0.77Fe³⁺ is a mild oxidant; lower than Mn because Fe³⁺ is d⁵
Co−0.28+1.97Co³⁺ is the strongest oxidant of the series in water
Ni−0.25No simple Ni³⁺ in waterNi²⁺ is the stable ion
Cu+0.34No Cu³⁺ in waterThe only positive M²⁺/M value: Cu gives no hydrogen with dilute acid
Cu has the highest M²⁺/M value of the 3d series.
Zn−0.76No Zn³⁺ in waterZn²⁺ (d¹⁰) is the only ion
Negative M³⁺/M²⁺: the 2+ ion reduces acid. Large positive M³⁺/M²⁺: the 3+ ion is a strong oxidant.

Watch out for (6)

Magnetic Moment and Colour

Formulas (1)

Reference tables (1)

Colours of the aqueous 3d ions17 rows
Iond configurationUnpaired electrons (free ion)Colour in water
Sc3+\mathrm{Sc^{3+}}3d⁰0Colourless
Ti4+\mathrm{Ti^{4+}}3d⁰0Colourless
Ti3+\mathrm{Ti^{3+}}3d¹1Purple
V4+\mathrm{V^{4+}}3d¹1Blue
V3+\mathrm{V^{3+}}3d²2Green
V2+\mathrm{V^{2+}}3d³3Violet
Cr3+\mathrm{Cr^{3+}}3d³3Violet
Mn3+\mathrm{Mn^{3+}}3d⁴4Violet
V²⁺, Cr³⁺ and Mn³⁺ are all violet.
Cr2+\mathrm{Cr^{2+}}3d⁴4Blue
Mn2+\mathrm{Mn^{2+}}3d⁵5Pink
Fe3+\mathrm{Fe^{3+}}3d⁵5Yellow
Fe2+\mathrm{Fe^{2+}}3d⁶4Green
Co3+\mathrm{Co^{3+}}3d⁶4Blue
Co2+\mathrm{Co^{2+}}3d⁷3Pink
Ni2+\mathrm{Ni^{2+}}3d⁸2Green
Cu2+\mathrm{Cu^{2+}}3d⁹1Blue
Zn2+\mathrm{Zn^{2+}}3d¹⁰0Colourless
Same colour does not mean same d count: Fe²⁺ (d⁶), Ni²⁺ (d⁸) and V³⁺ (d²) are all green.

Watch out for (4)

Oxides of Transition Metals

Reference tables (2)

Basic, amphoteric and acidic oxides9 rows
OxideMetal oxidation stateCharacterWith acid or alkali
V2O3\mathrm{V_2O_3}+3BasicDissolves in acid to give V3+\mathrm{V^{3+}} salts
V2O4\mathrm{V_2O_4}+4Less basic (weakly amphoteric)Dissolves in acid to give VO2+\mathrm{VO^{2+}} salts
V2O5\mathrm{V_2O_5}+5Amphoteric, mainly acidicVO43−\mathrm{VO_4^{3-}} in alkali, VO2+\mathrm{VO_2^{+}} in acid
The contact-process catalyst, but not a basic oxide.
CrO+2BasicDissolves in acid to give Cr2+\mathrm{Cr^{2+}}
Cr2O3\mathrm{Cr_2O_3}+3AmphotericReacts with both acid and alkali
CrO3\mathrm{CrO_3}+6AcidicWith water gives chromic acid, H2CrO4\mathrm{H_2CrO_4}
MnO+2BasicDissolves in acid to give Mn2+\mathrm{Mn^{2+}}
Mn2O7\mathrm{Mn_2O_7}+7AcidicWith water gives permanganic acid, HMnO4\mathrm{HMnO_4}
ZnO+2AmphotericZincate, [Zn(OH)4]2−\mathrm{[Zn(OH)_4]^{2-}}, in excess alkali
Down each metal's column of oxides, the character moves from basic to acidic as the oxidation state rises.
Structure of Mn₂O₇ and the mixed oxides6 rows
OxideMetal oxidation stateStructure or make-upPoint tested
Mn2O7\mathrm{Mn_2O_7}+7Two MnO4\mathrm{MnO_4} tetrahedra sharing one O6 terminal Mn=O, 1 bridging O, covalent green oil
Mn is tetrahedral, not octahedral, and there is no Mn–Mn bond.
CrO3\mathrm{CrO_3}+6Chains of CrO4\mathrm{CrO_4} tetrahedra sharing cornersAcidic, strong oxidant
Mn3O4\mathrm{Mn_3O_4}+2 and +3MnO·Mn2O3\mathrm{Mn_2O_3}Mixed oxide; paramagnetic
Fe3O4\mathrm{Fe_3O_4}+2 and +3FeO·Fe2O3\mathrm{Fe_2O_3}Mixed oxide; magnetite, strongly magnetic
Co3O4\mathrm{Co_3O_4}+2 and +3CoO·Co2O3\mathrm{Co_2O_3}Mixed oxide
Fe2O3\mathrm{Fe_2O_3}+3One oxidation stateNot a mixed oxide
A formula M₃O₄ with an average state of +8/3 hides a +2 and a +3 metal.

Watch out for (4)

Potassium Dichromate and Chromium Compounds

Formulas (3)

Potassium Permanganate and Manganese Compounds

Formulas (2)

Watch out for (4)

Lanthanoids and Actinoids

Reference tables (3)

Lanthanoid configurations and 4f counts15 rows
Element (Z)AtomM³⁺ ionOther common ion
La (57)[Xe]5d¹6s²4f⁰, colourlessShows only +3
Ce (58)[Xe]4f¹5d¹6s²4f¹Ce⁴⁺, 4f⁰
Pr (59)[Xe]4f³6s²4f²Pr⁴⁺, 4f¹
Nd (60)[Xe]4f⁴6s²4f³Nd²⁺ 4f⁴; Nd⁴⁺ 4f²
Pm (61)[Xe]4f⁵6s²4f⁴Shows only +3
Sm (62)[Xe]4f⁶6s²4f⁵Sm²⁺, 4f⁶
Eu (63)[Xe]4f⁷6s²4f⁶Eu²⁺, 4f⁷
Eu²⁺ and Gd³⁺ are the two 4f⁷ ions.
Gd (64)[Xe]4f⁷5d¹6s²4f⁷Shows only +3
Tb (65)[Xe]4f⁹6s²4f⁸Tb⁴⁺, 4f⁷
Dy (66)[Xe]4f¹⁰6s²4f⁹Dy⁴⁺, 4f⁸
Ho (67)[Xe]4f¹¹6s²4f¹⁰Shows only +3
Er (68)[Xe]4f¹²6s²4f¹¹Shows only +3
Tm (69)[Xe]4f¹³6s²4f¹²Tm²⁺, 4f¹³
Yb (70)[Xe]4f¹⁴6s²4f¹³Yb²⁺, 4f¹⁴
Lu (71)[Xe]4f¹⁴5d¹6s²4f¹⁴, colourlessShows only +3
The +3 ion always has Z − 57 electrons in 4f; the ions in the last column reach 4f⁰, 4f⁷ or 4f¹⁴, or come close.
Lanthanoid ions outside the +3 state7 rows
Ion4f configurationWhy it existsBehaviour
Ce⁴⁺4f⁰Noble-gas (Xe) coreStrong 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⁺4f⁷Half-filled 4fStronger oxidant than Ce⁴⁺; found in TbO2\mathrm{TbO_2}
Pr⁴⁺, Nd⁴⁺, Dy⁴⁺4f¹, 4f², 4f⁸Stabilised only in the solid oxideFound only as MO2\mathrm{MO_2}; oxidants
Eu²⁺4f⁷Half-filled 4f after losing 6s²Strong reductant; turns into Eu³⁺
Yb²⁺4f¹⁴Full 4f after losing 6s²Reductant; diamagnetic
Sm²⁺4f⁶Close to 4f⁷Reductant
Ln³⁺ (all)4f¹ to 4f¹⁴Loss of 6s² and one more electronThe stable state of every lanthanoid
+4 ions are oxidants and +2 ions are reductants, because each tends to return to +3.
Actinoids compared with lanthanoids6 rows
PropertyLanthanoidsActinoids
Subshell being filled4f, deeply buried5f, less buried, reaches further out
f electrons in bondingVery littleTo a far greater extent
Oxidation statesMostly +3; a few +2 and +4+3 common; up to +7 (Np) in the first half
Contraction along the seriesLanthanoid contractionActinoid contraction: larger from element to element
RadioactivityOnly PmAll of them
Example configurationGd [Xe]4f⁷5d¹6s²Cm [Rn]5f⁷6d¹7s²
Almost every actinoid difference traces back to 5f orbitals being less buried than 4f.

Watch out for (6)

Qualitative Analysis of Ions

Reference tables (3)

Cation groups and their group reagents7 rows
GroupCationsGroup reagentPrecipitated as
ZeroNH4+\mathrm{NH_4^{+}}No group reagent; heat with NaOHAmmonia gas, confirmed with Nessler's reagent
IPb2+\mathrm{Pb^{2+}}Dilute HClWhite PbCl2\mathrm{PbCl_2}
IIPb2+\mathrm{Pb^{2+}}, Cu2+\mathrm{Cu^{2+}}, Cd2+\mathrm{Cd^{2+}}, As3+\mathrm{As^{3+}}H2S\mathrm{H_2S} in dilute HClSulphides: PbS and CuS black, CdS and As2S3\mathrm{As_2S_3} yellow
Pb²⁺ shows up in group I and again in group II, because PbCl₂ is partly soluble.
IIIFe3+\mathrm{Fe^{3+}}, Al3+\mathrm{Al^{3+}}, Cr3+\mathrm{Cr^{3+}}NH4OH\mathrm{NH_4OH} with NH4Cl\mathrm{NH_4Cl}Hydroxides: Fe(OH)3\mathrm{Fe(OH)_3} reddish-brown, Al(OH)3\mathrm{Al(OH)_3} white, Cr(OH)3\mathrm{Cr(OH)_3} green
IVZn2+\mathrm{Zn^{2+}}, Mn2+\mathrm{Mn^{2+}}, Co2+\mathrm{Co^{2+}}, Ni2+\mathrm{Ni^{2+}}H2S\mathrm{H_2S} in NH4OH\mathrm{NH_4OH}Sulphides: ZnS white, MnS buff, CoS and NiS black
VBa2+\mathrm{Ba^{2+}}, Sr2+\mathrm{Sr^{2+}}, Ca2+\mathrm{Ca^{2+}}(NH4)2CO3\mathrm{(NH_4)_2CO_3} in NH4OH\mathrm{NH_4OH}White carbonates
VIMg2+\mathrm{Mg^{2+}}No group reagent; ammonium phosphateWhite MgNH4PO4\mathrm{MgNH_4PO_4}
Acidic H₂S catches only group II; alkaline H₂S catches group IV as well, which is why group II must be removed first.
Confirmatory tests and the colours they give11 rows
IonReagentObservationProduct
Cu2+\mathrm{Cu^{2+}}K4[Fe(CN)6]\mathrm{K_4[Fe(CN)_6]} in acetic acidChocolate-brown precipitateCu2[Fe(CN)6]\mathrm{Cu_2[Fe(CN)_6]}
Fe3+\mathrm{Fe^{3+}}K4[Fe(CN)6]\mathrm{K_4[Fe(CN)_6]}Prussian blue precipitateFe4[Fe(CN)6]3\mathrm{Fe_4[Fe(CN)_6]_3}
Fe3+\mathrm{Fe^{3+}}KSCNBlood-red colour[Fe(SCN)]2+\mathrm{[Fe(SCN)]^{2+}}
Zn2+\mathrm{Zn^{2+}}K4[Fe(CN)6]\mathrm{K_4[Fe(CN)_6]}, after neutralisingWhite or bluish-white precipitateK2Zn3[Fe(CN)6]2\mathrm{K_2Zn_3[Fe(CN)_6]_2}
Ni2+\mathrm{Ni^{2+}}Dimethylglyoxime in NH4OH\mathrm{NH_4OH}Brilliant red precipitate[Ni(dmg)2]\mathrm{[Ni(dmg)_2]}, five-membered chelate rings
Co2+\mathrm{Co^{2+}}KNO2\mathrm{KNO_2} in acetic acidYellow precipitateK3[Co(NO2)6]\mathrm{K_3[Co(NO_2)_6]}
Mn2+\mathrm{Mn^{2+}}NaOH, then left in airWhite precipitate turning brownMnO(OH)2\mathrm{MnO(OH)_2}
Mg2+\mathrm{Mg^{2+}}Ammonium phosphate in NH4OH\mathrm{NH_4OH}White crystalline precipitateMgNH4PO4\mathrm{MgNH_4PO_4}
NH4+\mathrm{NH_4^{+}}Nessler's reagent, K2[HgI4]\mathrm{K_2[HgI_4]} in KOHBrown precipitateIodide of Millon's base
PO43−\mathrm{PO_4^{3-}}Ammonium molybdate in HNO3\mathrm{HNO_3}Canary-yellow precipitate(NH4)3PO4⋅12MoO3\mathrm{(NH_4)_3PO_4 \cdot 12MoO_3}
S2−\mathrm{S^{2-}}Sodium nitroprussideViolet colourNa4[Fe(CN)5NOS]\mathrm{Na_4[Fe(CN)_5NOS]}
Ferrocyanide alone confirms three cations: brown for copper, blue for iron(III), white for zinc.
Borax beads, anion tests and Mohr's salt10 rows
TestConditionsObservationReason
Borax bead: CuOxidising flameGreen when hot, blue when coldCopper metaborate; red and opaque in the reducing flame
Borax bead: FeOxidising and reducing flameYellowish-brown hot, yellow cold (oxidising); green (reducing)Iron(III) metaborate; iron(II) in the reducing flame
Borax bead: NiOxidising flameViolet when hot, reddish-brown when coldNickel metaborate
Borax bead: MnOxidising flameViolet (amethyst), hot and coldManganese metaborate; colourless in the reducing flame
Borax bead: CoEither flameBlue, hot and coldCobalt metaborate
Borax bead: CrEither flameGreen, hot and coldChromium metaborate
Brown ring (NO3−\mathrm{NO_3^{-}})Fresh FeSO4\mathrm{FeSO_4}, then conc. H2SO4\mathrm{H_2SO_4} down the sideBrown ring where the layers meet[Fe(H2O)5(NO)]2+\mathrm{[Fe(H_2O)_5(NO)]^{2+}}, Fe +1
The complex is nitrosoferrous sulphate.
Acetate (CH3COO−\mathrm{CH_3COO^{-}})Neutral FeCl3\mathrm{FeCl_3}, then boilDeep red colour, then a brown-red precipitateBasic ferric acetate, Fe +3
Chloride (Cl−\mathrm{Cl^{-}})AgNO3\mathrm{AgNO_3} in dilute HNO3\mathrm{HNO_3}, then NH4OH\mathrm{NH_4OH}Curdy white precipitate that dissolvesAgCl, then [Ag(NH3)2]Cl\mathrm{[Ag(NH_3)_2]Cl}
Mohr's salt preparationDilute H2SO4\mathrm{H_2SO_4} added; no prolonged heatingPale green crystalsAcid stops hydrolysis; heating would oxidise Fe2+\mathrm{Fe^{2+}}
The bead colour depends on the metal AND on the part of the flame used.

Watch out for (6)

PYQ weightage by concept

21 concepts · 214 PYQs — where the marks actually sit, so you know what to drill first

Electronic Configuration and General Properties24 PYQs · 11%
ConceptPYQsShare
Melting points, atomisation, density, catalysts and interstitial compounds105%
Configurations of d-block atoms and ions73%
Ionisation enthalpies across the 3d series73%
Oxidation States and Electrode Potentials27 PYQs · 13%
ConceptPYQsShare
E° values: which ions reduce acid and which oxidise136%
Oxidation states of the 3d metals105%
Why Cu²⁺ is the stable copper ion in water42%
Magnetic Moment and Colour25 PYQs · 12%
ConceptPYQsShare
The spin-only magnetic moment167%
Colours of the aqueous 3d ions94%
Oxides of Transition Metals18 PYQs · 8%
ConceptPYQsShare
Basic, amphoteric and acidic oxides126%
Structure of Mn₂O₇ and the mixed oxides63%
Potassium Dichromate and Chromium Compounds26 PYQs · 12%
ConceptPYQsShare
From chromite ore to K₂Cr₂O₇, and chromate against dichromate115%
The chromyl chloride test and blue CrO₅105%
Acidified dichromate as an oxidising agent52%
Potassium Permanganate and Manganese Compounds28 PYQs · 13%
ConceptPYQsShare
Making KMnO₄: manganate, permanganate and disproportionation147%
Permanganate as an oxidant: acid against neutral147%
Lanthanoids and Actinoids31 PYQs · 14%
ConceptPYQsShare
Lanthanoid configurations and 4f counts136%
Lanthanoid ions outside the +3 state136%
Actinoids compared with lanthanoids52%
Qualitative Analysis of Ions35 PYQs · 16%
ConceptPYQsShare
Confirmatory tests and the colours they give167%
Borax beads, anion tests and Mohr's salt105%
Cation groups and their group reagents94%

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.

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