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JEE Mains Chemistry · Formula sheet

The d- and f-Block Elements formulas

8 formulas, 13 reference tables and 42 common traps for JEE Mains Chemistry The d- and f-Block Elements, grouped by subtopic.

Full notes with worked examples

Electronic Configuration and General Properties

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Configurations of d-block atoms and ions

d electrons in a 3d ion

nd(Mn+)=Z−18−n(n≥2)n_d(\mathrm{M^{n+}}) = Z - 18 - n \qquad (n \ge 2)

Ionisation enthalpies across the 3d series

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 compounds

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.

Common traps

Ions lose 4s before 3d

Fe2+\mathrm{Fe^{2+}} is [Ar] 3d6[\mathrm{Ar}]\,3d^{6}, not [Ar] 3d44s2[\mathrm{Ar}]\,3d^{4}4s^{2}. The 4s electrons fill first but leave first too. Writing the ion as the atom minus 3d electrons gives the wrong count of unpaired electrons and the wrong magnetic moment.

The 4d series has more exceptions than the 3d

In 3d only Cr and Cu take a single s electron. In 4d, Nb, Mo, Ru, Rh and Ag all do, and Pd has none at all. Do not copy the 3d pattern down the group: Nb is 4d45s14d^{4}5s^{1} although V above it is 3d34s23d^{3}4s^{2}.

Cr beats Mn on the second IE only

Cr's second IE is higher than Mn's, but its third IE is lower. A statement that 'the second and third IEs of Cr are both higher than those of Mn' is false, because Mn2+\mathrm{Mn^{2+}} is the 3d⁵ ion at the third step.

Cr is not the highest second IE of the whole series

Cr has the highest second IE only up to Fe. Copper's second IE (1958) is higher, because it breaks a filled 3d¹⁰. Read which metals the question lists before answering.

A catalyst weakens bonds and uses 4s electrons too

Two false statements recur: that first-row catalysts use only their 3d electrons, and that adsorption strengthens the reactant bonds. The surface bonds through 3d AND 4s electrons, and adsorption weakens the reactant bonds, which is why the activation energy falls.

The group-7/group-8 order flips in the 5d series

Mn melts below Fe and Tc below Ru, but Re melts above Os. Do not extend the 3d and 4d pattern to the 5d pair.

Oxidation States and Electrode Potentials

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Why Cu²⁺ is the stable copper ion in water

Iodometry of copper(II)

2Cu2++4I−→Cu2I2+I2I2+2S2O32−→2I−+S4O62−\mathrm{2Cu^{2+} + 4I^{-} \rightarrow Cu_2I_2 + I_2} \qquad \mathrm{I_2 + 2S_2O_3^{2-} \rightarrow 2I^{-} + S_4O_6^{2-}}

Oxidation states of the 3d metals

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 oxidise

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.

Common traps

The d-block trend runs the other way from the p-block

In group 14 the lower state gets more stable down the group. In a d-block group the HIGHER state does. So 'Cr(VI) is more stable than Mo(VI)' is false, and that is exactly why CrO3\mathrm{CrO_3} is the stronger oxidant.

Scandium has no +4

Sc loses 3d¹4s² to reach the argon core and stops. A statement giving Sc a +4 state, oxidising or not, is false.

Iron's M³⁺/M²⁺ value is not above manganese's

Fe3+\mathrm{Fe^{3+}} is already 3d⁵, so it gains little by taking an electron: +0.77 V. Mn3+\mathrm{Mn^{3+}} reaches 3d⁵ by taking one: +1.57 V. A statement that iron's value is greater is false.

Count the free ion unless a complex is named

When a question pairs an E° clue with a magnetic moment 'in the gaseous state' or with no ligand named, count the free ion. Co3+\mathrm{Co^{3+}} is 3d⁶ with 4 unpaired electrons as a free ion, although its complex with water is low spin.

The hydration enthalpy of Cu²⁺ is larger, not smaller

Cu²⁺ is stable in water BECAUSE its hydration enthalpy is much more negative than that of Cu⁺. A reason that says it is 'much less' than that of Cu⁺ is false, even when the assertion beside it is true.

Cu₂I₂ and CuI are one compound

Cu2I2\mathrm{Cu_2I_2} is only CuI written for two copper atoms. When both appear as options, they name the same white precipitate.

Magnetic Moment and Colour

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The spin-only magnetic moment

Spin-only magnetic moment

μ=n(n+2) BM\mu = \sqrt{n(n+2)}\ \text{BM}

Colours of the aqueous 3d ions

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.

Common traps

Past d⁵ the electrons pair up

Cu2+\mathrm{Cu^{2+}} is d⁹ with ONE unpaired electron, not nine, and Ni2+\mathrm{Ni^{2+}} is d⁸ with two. Use 10−x10 - x for d⁶ to d¹⁰.

Take the 4s electrons off first

Mn2+\mathrm{Mn^{2+}} is 3d⁵ with five unpaired electrons (5.92 BM). Writing it as 3d³4s² gives three and a wrong answer of 3.87 BM, which is usually one of the options.

Intensely coloured is not paramagnetic

Permanganate is deep purple but Mn(VII) is d⁰, so MnO4−\mathrm{MnO_4^{-}} is diamagnetic. Its colour comes from charge transfer, not from d electrons. The same holds for dichromate and chromate.

Copper is colourless as Cu⁺

Cu2+\mathrm{Cu^{2+}} (d⁹) is blue, but Cu+\mathrm{Cu^{+}} (d¹⁰) is colourless. Always count the d electrons of the ION, not of the element.

Oxides of Transition Metals

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Basic, amphoteric and acidic oxides

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 oxides

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.

Common traps

V₂O₄ with acid gives VO²⁺

Vanadium(IV) in acid is the vanadyl ion, VO2+\mathrm{VO^{2+}}. The ion VO2+\mathrm{VO_2^{+}} is vanadium(V), formed from V2O5\mathrm{V_2O_5}. Match the oxidation state before choosing.

Ionic character falls as the oxidation state rises

A higher oxidation state gives a MORE covalent oxide, which is why Mn2O7\mathrm{Mn_2O_7} is a liquid and not an ionic solid. A statement that ionic character increases with oxidation number is false.

Mn₂O₇ is covalent, not ionic

It is a molecular liquid. A statement calling Mn2O7\mathrm{Mn_2O_7} an ionic oxide is false; so is one that puts Mn in an octahedron.

An M₂O₃ or M₃O₄ formula alone does not decide 'mixed'

Check for two oxidation states. Fe3O4\mathrm{Fe_3O_4} is mixed (+2 and +3); Fe2O3\mathrm{Fe_2O_3} is all +3 and V2O4\mathrm{V_2O_4} all +4.

Potassium Dichromate and Chromium Compounds

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From chromite ore to K₂Cr₂O₇, and chromate against dichromate

The chromate–dichromate equilibrium

2CrO42−+2H+⇌Cr2O72−+H2OCr stays +6\mathrm{2CrO_4^{2-} + 2H^{+} \rightleftharpoons Cr_2O_7^{2-} + H_2O} \qquad \text{Cr stays } +6

Acidified dichromate as an oxidising agent

Electron balance with dichromate

6×n(Cr2O72−)=(electrons lost per reductant)×n(reductant)6 \times n\left(\mathrm{Cr_2O_7^{2-}}\right) = (\text{electrons lost per reductant}) \times n(\text{reductant})

The chromyl chloride test and blue CrO₅

Oxidation state of Cr in CrO₅

x+1(−2)+4(−1)=0  ⇒  x=+6x + 1(-2) + 4(-1) = 0 \;\Rightarrow\; x = +6

Common traps

Chromate to dichromate is not a redox change

Colour changes from yellow to orange, but Cr is +6 on both sides. A question on 'the change in oxidation state' of Cr between chromate and dichromate has the answer 0.

Only the potassium salt is a primary standard

Sodium dichromate is hygroscopic, so a weighed sample is not pure. Potassium dichromate is less soluble, crystallises pure and is the primary standard.

Electrons per what?

One dichromate takes 6 electrons. But forming one I2\mathrm{I_2} from iodide involves 2 electrons, and forming one S from sulphide also 2. Read whether a question counts per dichromate, per product molecule or per balanced equation before you add.

The green paper is not proof of SO₂ alone

Acidified dichromate paper turning green is the standard test for SO2\mathrm{SO_2}, but H2S\mathrm{H_2S} also reduces dichromate and turns it green. The key follows the named test; the chemistry allows both.

CrO₅ is +6, not +10

Four of its five oxygens are in peroxo groups at −1. Treating all five as −2 gives an impossible +10.

The formula is CrO₂Cl₂

One chromium, two oxygens, two chlorines. Options such as Cr2O2Cl2\mathrm{Cr_2O_2Cl_2} or a +5 or +3 state are the distractors; there is no redox for chromium in this step.

Potassium Permanganate and Manganese Compounds

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Making KMnO₄: manganate, permanganate and disproportionation

Disproportionation of manganate

3Mn+6O42−+4H+→2Mn+7O4−+Mn+4O2+2H2O\mathrm{3\overset{+6}{Mn}O_4^{2-} + 4H^{+} \rightarrow 2\overset{+7}{Mn}O_4^{-} + \overset{+4}{Mn}O_2 + 2H_2O}

Permanganate as an oxidant: acid against neutral

Two media, two products

acid: Mn+7→Mn2+ (5e−)neutral/faintly alkaline: Mn+7→MnO2 (3e−)\text{acid: } \mathrm{Mn^{+7} \rightarrow Mn^{2+}}\ (5e^{-}) \qquad \text{neutral/faintly alkaline: } \mathrm{Mn^{+7} \rightarrow MnO_2}\ (3e^{-})

Common traps

Manganate +6, permanganate +7

The names are easy to swap. Manganate, MnO42−\mathrm{MnO_4^{2-}}, is green, +6 and paramagnetic. Permanganate, MnO4−\mathrm{MnO_4^{-}}, is purple, +7 and diamagnetic.

Peroxodisulphate goes all the way to permanganate

Oxidising a Mn(II) salt with peroxodisulphate gives MnO4−\mathrm{MnO_4^{-}}, not manganate. A statement that it stops at manganate is false.

Permanganate oxidises; it never reduces

Acidified permanganate OXIDISES oxalate, nitrite and iodide. A statement that it 'reduces oxalate, nitrite and iodide' is false, however familiar the list looks.

Count the water of crystallisation when the question does

If the titration uses ferrous ammonium sulphate HEXAHYDRATE, the 10 formula units bring 60 water molecules of their own. With the 8 formed in the reaction that is 68 per 2 KMnO4\mathrm{KMnO_4}.

Lanthanoids and Actinoids

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Lanthanoid configurations and 4f counts

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 state

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 lanthanoids

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.

Common traps

The 5d electron in Gd and Lu does not change the ion

Gd is 4f⁷5d¹6s², but Gd³⁺ is still 4f⁷: the three electrons lost are 6s², 5d¹. Use Z − 57 for every +3 ion and the atom's quirks drop out.

Isoelectronic means the same total, Z minus charge

Compare Z − charge, not the charge. Tb2+\mathrm{Tb^{2+}} has 63 electrons and Tm4+\mathrm{Tm^{4+}} has 65, so they are not isoelectronic even though both look like 'lanthanoid ions near 4f⁷'.

A noble-gas core does not make Ce⁴⁺ the stable state

The Xe core favours FORMING Ce⁴⁺, but in water Ce⁴⁺ returns to Ce³⁺, which is why it is an oxidant. 'Ce is more stable as Ce⁴⁺ than as Ce³⁺' is false.

4f⁷ does not stop Eu²⁺ reducing

Eu²⁺ has a half-filled 4f⁷, yet it is a strong reductant. The +3 state is still preferred, so the special configuration does not protect it.

Name the right contraction

The shrinking of M3+\mathrm{M^{3+}} across Th to Lr is the ACTINOID contraction. A reason that calls it the lanthanoid contraction is wrong for actinoid ions such as Bk3+\mathrm{Bk^{3+}} and Np3+\mathrm{Np^{3+}}.

Cm has eight unpaired electrons

Am and Cm both have 5f⁷, but curium adds a 6d electron. 'Cm and Am have seven unpaired electrons' is false.

Qualitative Analysis of Ions

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Cation groups and their group reagents

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 give

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 salt

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.

Common traps

Mn²⁺ is group IV, Fe³⁺ is group III

Both are d⁵ ions, but Fe(OH)3\mathrm{Fe(OH)_3} precipitates in group III while Mn2+\mathrm{Mn^{2+}} waits for alkaline H2S\mathrm{H_2S} as MnS. Do not group transition metal ions by their configuration.

Acid decides which sulphides come down

In dilute HCl the sulphide ion concentration is tiny, so only group II sulphides precipitate. Adding a group IV cation to that step catches nothing; it needs the ammonia step.

The dimethylglyoxime rings are five-membered

Each glyoxime binds nickel through two nitrogens, closing a five-membered Ni–N–C–C–N ring. A statement calling it a six-membered chelate is false.

Nessler's reagent has no nitrogen

The reagent is K2[HgI4]\mathrm{K_2[HgI_4]} in KOH: potassium, mercury, iodine, and oxygen and hydrogen from the alkali. It detects nitrogen as NH4+\mathrm{NH_4^{+}}; it does not contain any.

Iron in the brown ring is +1

The ring is [Fe(H2O)5(NO)]2+\mathrm{[Fe(H_2O)_5(NO)]^{2+}}. NO bonds as NO+\mathrm{NO^{+}}, so x+1=+2x + 1 = +2 and x=+1x = +1. Treating NO as neutral gives +2, which is the common wrong option.

The acetate test needs NEUTRAL ferric chloride

Acid destroys the red iron acetate complex. The red colour, and the brown-red precipitate on boiling, appear only with neutral FeCl3\mathrm{FeCl_3}.

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