Class 12 Chemistry | Chapter 4
The d- and f-Block Elements
Transition Metals • Lanthanoids • Actinoids • Magnetic Properties • Catalytic Activity
1. The d-Block (Transition) Elements
- Groups 3 to 12. Positioned between s- and p-blocks.
- Zn, Cd, Hg: Have completely filled d-orbitals (d10) in ground state and in their common oxidation states. Hence, they are NOT considered transition elements.
- General Electronic Configuration: (n−1)d1−10 ns1−2.
1.1 Four Transition Series
- 3d series (Sc to Zn): 4th period (Z = 21 to 30).
- 4d series (Y to Cd): 5th period (Z = 39 to 48).
- 5d series (La, Hf to Hg): 6th period (Z = 57, 72 to 80).
- 6d series (Ac, Rf to Cn): 7th period (Incomplete).
2. General Properties of Transition Elements
2.1 Atomic and Ionic Radii
- In a series, atomic radii decrease from left to right initially, remain almost constant in the middle, and increase slightly at the end (due to increased inter-electronic repulsion in d-orbitals).
- Radii of 4d & 5d elements are almost identical due to Lanthanoid Contraction (poor shielding of 4f electrons). Example: Zr and Hf have very similar radii and properties.
2.2 Ionisation Enthalpies
Increase generally from left to right. Irregular trend in 1st IE is due to altered stability of configurations (e.g., half-filled). However, the 2nd and 3rd IEs show significant jumps when removing an electron from stable d5 or d10 configurations.
- Zn, Cd, Hg have very high I.E. due to completely filled (n-1)d10 ns2 configuration.
2.3 Oxidation States
Transition elements show variable oxidation states because energy difference between (n-1)d and ns orbitals is very small. Both ns and (n-1)d electrons can participate in bonding.
- Maximum number of oxidation states is shown by elements in the middle of series (e.g., Mn shows +2 to +7).
- Sc shows only +3. Zn shows only +2.
- Highest oxidation states are found in fluorides and oxides (e.g., OsO4 and RuO4 have +8) because F and O are highly electronegative and small in size.
2.4 Melting and Boiling Points
They have high M.P. and B.P. due to strong metallic bonds arising from the participation of large number of electrons from both (n-1)d and ns orbitals.
- Melting point is maximum near the middle of series (e.g., Cr, Mo, W have maximum M.P. due to maximum number of unpaired electrons resulting in very strong metallic bonds).
- Zn, Cd, Hg have lowest M.P. (Hg is liquid) due to absence of unpaired d-electrons resulting in very weak metallic bonds.
3. Magnetic and Colour Properties
3.1 Magnetic Properties
Substances with unpaired electrons are paramagnetic (attracted by magnetic field). Substances with all paired electrons are diamagnetic (repelled by magnetic field).
μ = √[n(n+2)] B.M. (Bohr Magneton)
Where 'n' is the number of unpaired electrons.
Greater the number of unpaired d-electrons, greater the magnetic moment. Mn2+ (3d5) has max n=5, so max μ ≈ 5.92 B.M.
3.2 Formation of Coloured Ions
Most transition metal compounds are coloured in solid state and solution. Colour is due to d-d transitions.
- When an electron from a lower energy d-orbital is excited to a higher energy d-orbital, the energy of excitation corresponds to the frequency of light absorbed within the visible region. The observed colour is complementary to the colour of the light absorbed.
- Ions with d0 (e.g., Sc3+, Ti4+) or d10 (e.g., Cu+, Zn2+) configurations are colourless because d-d transitions are not possible.
4. Other Characteristic Properties
4.1 Catalytic Properties
Transition metals and their compounds are known for their catalytic activity. Examples: V2O5 (Contact Process), Fe (Haber's Process), Ni (Catalytic Hydrogenation).
Reasons:
- Ability to adopt multiple oxidation states.
- Ability to form intermediate complexes.
- Provision of large surface area with free valencies (when in finely divided solid form).
4.2 Formation of Interstitial Compounds
Small non-metal atoms (like H, C, or N) get trapped inside the crystal lattices of metals. Examples: TiC, Mn4N, Fe3H.
- They are non-stoichiometric and typically neither ionic nor covalent.
- Properties: Very hard (some approach diamond in hardness), high melting points (higher than pure metals), retain metallic conductivity, chemically inert.
4.3 Alloy Formation
Alloys are solid solutions of two or more metals. Because the atomic radii of transition metals are very similar (differing by < 15%), atoms of one metal can readily substitute for atoms in the crystal lattice of another metal.
- Examples: Brass (Cu+Zn), Bronze (Cu+Sn). They are hard and often have high melting points. Ferrous alloys are the most common.
4.4 Tendency to form Complex Compounds
They form a large number of complex compounds. E.g., [Fe(CN)6]3−, [PtCl4]2−.
Reasons:
- Small sizes of the metal ions.
- High ionic charges.
- Availability of vacant d-orbitals of suitable energy to accept lone pairs of electrons donated by ligands.
5. Some Important Compounds of Transition Elements
5.1 Potassium Dichromate (K2Cr2O7)
Orange coloured crystals. Powerful oxidizing agent in acidic medium.
- Preparation is from Chromite ore (FeCr2O4). Involves converting chromite to sodium chromate, then to sodium dichromate, then to potassium dichromate.
- Chromate-Dichromate interconversion: Depends on pH. They exist in equilibrium.
In acidic medium: 2CrO42− (yellow) + 2H+ → Cr2O72− (orange) + H2O
In basic medium: Cr2O72− (orange) + 2OH− → 2CrO42− (yellow) + H2O - Oxidizing action (Acidic): Cr2O72− +
14H+ + 6e− → 2Cr3+ + 7H2O (E° = +1.33
V).
It oxidizes I− to I2, Fe2+ to Fe3+, Sn2+ to Sn4+, H2S to S.
5.2 Potassium Permanganate (KMnO4)
Dark purple (almost black) crystals. Very strong oxidizing agent.
- Prepared from pyrolusite (MnO2). Fused with KOH in presence of O2 to form potassium manganate (K2MnO4 - green), which is then electrolytically oxidized to KMnO4.
- Oxidizing action depends on pH:
- Acidic medium: MnO4− + 8H+ + 5e− → Mn2+ + 4H2O (E° = +1.52 V). Oxidizes oxalate to CO2, Fe2+ to Fe3+, nitrites to nitrates.
- Neutral/faintly alkaline medium: MnO4− + 2H2O + 3e− → MnO2(s) + 4OH−. Oxidizes iodide to iodate (IO3−), and thiosulphate to sulphate.
6. The f-Block Elements (Inner Transition Elements)
6.1 The Lanthanoids
14 elements following lanthanum (Z=58 to 71). General configuration: [Xe] 4f1-14 5d0-1 6s2.
- Lanthanoid Contraction: the steady decrease in atomic and ionic sizes of lanthanoid elements with increasing atomic number. Very crucial consequence: Radii of 4d and 5d transition series (e.g., Zr and Hf) become nearly identical.
- Reason for Contraction: Poor shielding effect of the 4f electrons. As nuclear charge increases, the pull on electrons increases, causing size reduction.
- Oxidation States: The most common and stable oxidation state is +3. Some elements show +2 (e.g., Eu2+, [Xe]4f7) and +4 (e.g., Ce4+, [Xe]4f0) to attain stable f0, f7, or f14 configurations. Ce4+ is a good analytical oxidizing agent.
- Mischmetall: An alloy of lanthanoid metals (~95%), iron (~5%), and traces of S, C, Ca, Al. Used making bullets, shells, and lighter flints.
6.2 The Actinoids
14 elements following actinium (Z=90 to 103). General configuration: [Rn] 5f0-14 6d0-2 7s2.
- All actinoids are radioactive. Early actinoids have relatively long half-lives, later ones have very short half-lives.
- Actinoid Contraction: Similar to lanthanoid contraction but greater from element to element due to even poorer shielding by 5f electrons compared to 4f.
- Oxidation States: Show a greater range of oxidation states (up to +7 for Np and Pu) compared to lanthanoids because 5f, 6d, and 7s levels are of comparable energies. Common O.S. is +3, but +4 is most stable for Th.
- Most actinoids are artificially prepared (Transuranium elements).
6.3 Lanthanoids vs Actinoids
| Lanthanoids | Actinoids |
|---|---|
| Maximum oxidation state is +4 (Ce) | Show higher oxidation states (+5, +6, +7) |
| Except Promethium (Pm), they are non-radioactive | All are radioactive |
| Compounds are less basic | Compounds are more basic |
| Do not form oxocations | Form oxocations (e.g., UO22+, PuO2+) |
🎓 NEET Previous Year Questions
(a) Cr2+ (d4) is a stronger reducing agent than Fe2+ (d6) in water.
(b) The transition metals and their compounds are known for their catalytic activity due to their ability to adopt multiple oxidation states.
(c) Interstitial compounds are those that are formed when small atoms like H, C or N are trapped inside the crystal lattices of metals.
(d) The oxidation states of chromium in CrO42- and Cr2O72- are not the same.
💡 Rapid Revision
- Zinc, Cadmium, Mercury are NOT considered transition elements because their d-orbitals are full in both atomic and ionic states.
- Highest oxidation state is shown by Mn (+7) in 3d series, and Os/Ru (+8) overall.
- Colour in transition metal ions is typically strictly due to d-d transitions. If d0 or d10, it is typically colourless. (Intense colour of KMnO4 is due to charge transfer spectra, not d-d!).
- Lanthanoid contraction makes the properties of 4d and 5d series elements very similar, making them hard to separate in nature.
- Cerium (Ce) commonly shows a +4 oxidation state, giving a stable empty f-subshell. Eu shows +2, for a stable half-filled f7 shell.
CLASS 12 CHEMISTRY | NCERT SOLUTIONS
Chapter 4 — The d- and f-Block Elements
22 Solved Questions — Reasoning & Calculations
📝 Magnetic Moment Calculations (Q1 – Q5)
For Z = 27 (Cobalt), the electronic configuration is [Ar] 3d⁷ 4s².
For M²⁺ ion, two electrons are removed from the 4s orbital. Co²⁺ is [Ar] 3d⁷.
Arrangement in 3d: ↑↓ ↑↓ ↑ ↑ ↑. This gives 3 unpaired electrons (n=3).
Magnetic moment (μ) = √[n(n+2)] B.M. = √[3(3+2)] = √15 B.M.
For Z = 25 (Manganese), the configuration is [Ar] 3d⁵ 4s².
Divalent ion (Mn²⁺) configuration is [Ar] 3d⁵.
There are 5 unpaired electrons (n = 5).
μ = √[n(n+2)] = √[5(5+2)] = √35 B.M.
Given μ = √[n(n+2)] = 5.92 B.M. Squaring both sides:
n(n+2) = (5.92)² ≈ 35
n² + 2n - 35 = 0 ⇒ (n+7)(n-5) = 0
Since n cannot be negative, n = 5 unpaired electrons.
Cu (Z=29) configuration: [Ar] 3d¹⁰ 4s¹.
Cu⁺: [Ar] 3d¹⁰. All electrons in the 3d subshell are paired (n=0). Hence it is repelled by magnetic fields (diamagnetic).
Cr (Z=24) configuration: [Ar] 3d⁵ 4s¹.
Cr³⁺ configuration: [Ar] 3d³.
Number of unpaired electrons, n = 3.
μ = √[3(3+2)] = √15 B.M.
💡 Transition Metals Reasoning (Q6 – Q14)
A transition element must have incompletely filled d-orbitals in its ground state or in any of its common oxidation states.
(i) They have unpaired electrons in their (n-1)d orbitals.
(ii) They have a large number of unpaired electrons in their atoms, which results in strong interatomic metallic bonding. Hence, high energy is required to break these bonds (high enthalpy of atomisation).
Interstitial compounds are formed when small atoms like H, C, or N get trapped inside the empty spaces (interstices) of the crystal lattices of metals.
Transition elements form complex compounds due to:
1. Considerably small size and high effective nuclear charge of their ions.
2. High ionic charge density.
The member is Cerium (Ce, Z = 58).
For a metal to displace H₂ from an acid, it must have a negative standard reduction potential (E°).
Lanthanoid Contraction: The steady, gradual decrease in atomic and ionic radii along the lanthanoid series (from Ce to Lu) due to the poor shielding effect of 4f electrons against the increasing nuclear charge.
The enthalpy of atomisation depends on the strength of metallic bonding, which in turn depends on the number of unpaired d-electrons.
Oxygen and Fluorine have:
1. Small atomic size.
2. High electronegativity. (Fluorine is the most, Oxygen is the second most).
📈 Balancing Redox Equations (Q15 – Q18)
(i) Neutral/Faintly alkaline medium (Permanganate + Iodide):
Permanganate reduces to MnO₂, Iodide oxidizes to Iodate (IO₃⁻).
2MnO₄⁻ + H₂O + I⁻ → 2MnO₂ + 2OH⁻ + IO₃⁻
(ii) Acidic medium (Dichromate + Fe²⁺):
Dichromate reduces to Cr³⁺, Fe²⁺ oxidizes to Fe³⁺.
This is the oxidation of oxalate ion by permanganate in acidic medium.
Permanganate (MnO₄⁻) reduces to Mn²⁺.
Oxalate (C₂O₄²⁻) oxidizes to CO₂.
This is the oxidation of Hydrogen Sulphide (H₂S) by dichromate in acidic medium.
Dichromate (Cr₂O₇²⁻) reduces to Cr³⁺.
Sulphide (S²⁻) from H₂S oxidizes to elemental Sulphur (S).
Step 1: Roasting chromite ore with Na₂CO₃ in air to form Sodium chromate.
4FeCr₂O₄ + 8Na₂CO₃ + 7O₂ → 8Na₂CrO₄ + 2Fe₂O₃ + 8CO₂
Step 2: Conversion of sodium chromate to sodium dichromate by acidification.
2Na₂CrO₄ + 2H⁺ → Na₂Cr₂O₇ + 2Na⁺ + H₂O
Na₂Cr₂O₇ + 2KCl → K₂Cr₂O₇ + 2NaCl
🔥 Actinoids and Lanthanoids (Q19 – Q22)
Actinoid Contraction: It is the steady decrease in atomic/ionic size with an increase in atomic number across the actinoid series.
Difference: The actinoid contraction is greater from element to element than the lanthanoid contraction. This is because 5f electrons provide even poorer shielding from nuclear charge than 4f electrons. Thus, the effective nuclear charge felt by outer electrons increases more sharply in actinoids.
Lanthanoids involve the filling of inner 4f orbitals. Since the outermost shell (6s) and penultimate shell (5s, 5p, 5d) remain virtually identical for all these elements, their chemical properties are very similar.
Because of the lanthanoid contraction.
(i) Oxidation state: Lanthanoids mostly show +3 (some +2, +4). Actinoids show a much wider range of oxidation states (+3, +4, +5, +6, +7) because the 5f, 6d, and 7s levels have comparable energies.
All questions from NCERT Exercises & CBSE Previous Year Question Papers.
High-Yield Facts & Formulas: d- and f- Block
Elements with partially filled d-orbitals in ground state or oxidation state. (Zn, Cd, Hg are not transition metals).
General: (n-1)d1-10 ns1-2.
+7 shown by Manganese (Mn) in the 3d series. Osmium (Os) and Ruthenium (Ru) show +8.
μ = √[n(n+2)] Bohr Magnetons (BM).
Increases along the series due to increase in nuclear charge, but irregularly because of d-orbital filling.
Transition metal ions are usually colored due to d-d transitions. (Exceptions: d0 like Sc3+, d10 like Zn2+).
Metals of similar radii can replace each other in crystal lattice. (e.g., Brass, Bronze, Stainless steel).
Non-stoichiometric compounds like TiC, ZrH1.9, Mn4N. They are hard and conduct electricity.
Steady decrease in size of atoms/ions from La to Lu due to poor shielding of 4f electrons.
Steady decrease in size from Ac to Lr. It is greater than lanthanoid contraction due to poorer shielding by 5f.
Tetrahedral MnO4- ion. Mn is d0 (purple color is due to charge transfer).
Orange in acidic medium, Yellow (chromate) in basic medium.
Density increases from Ti to Cu because atomic mass increase is more dominant than radius change.
High for transition metals due to strong metallic bonding (participation of (n-1)d electrons).
Used in the Contact Process for making H2SO4.
Ziegler-Natta catalyst used for polymerization of ethene.
Mercury (Hg) is liquid because of very weak metallic bonding (no unpaired d-electrons).
Property of being attracted by a magnetic field. Increases with number of unpaired electrons.
Property of being weakly repelled by a magnetic field. Shown by d0 and d10 species.
Lanthanoid ions showing anomalous oxidation states (+2 and +4) for stable f7 configuration.
Done by ion-exchange method based on slight differences in basicity.
Actinoid hydroxides are more basic than lanthanoid hydroxides.
FeCr2O4. Raw material for K2Cr2O7.
MnO2. Raw material for KMnO4 manufacture.
In acidic medium: Manganate ions disproportionate to permanganate and MnO2.
Placed separately at bottom to avoid horizontal expansion of periodic table.
Almost identical to second series due to Lanthanoid contraction (e.g., Zr ≈ Hf).
Transition ions form complexes with ligands like NH3, H2O, CN-.
Pt and Au are very resistant to oxidation (low reactivity).
Blue Vitriol. Contains [Cu(H2O)4]2+ SO42-.H2O.
Permanent magnetism shown by Fe, Co, Ni.
Group 11 elements (Cu, Ag, Au).
All lanthanoids and actinoids belong to Group 3 of the periodic table.
Typical properties of transition metals due to metallic bonds.
Lower oxidation states form ionic compounds; higher ones form covalent compounds (Fajans' Rule).
Often non-stoichiometric and hydrogen deficient.
Increases with temperature for antiferromagnetic substances and decreases for paramagnetic.
Chromate (CrO42-), Permanganate (MnO4-).
Highly toxic and carcinogenic compared to Cr3+.
Finely divided Ni is used as a catalyst for hydrogenating oils.
"Space age metal" due to its high strength, low weight, and corrosion resistance.
Gets tarnished in air due to H2S, forming Ag2S.
The only metal in 3d series with positive E0 (reduction potential), hence does not release H2 from acids.
Mainly Fe + C; Alloyed with Cr, Ni, Mo to change properties.
Low enthalpies of atomization due to completed d-orbitals.
Finely divided Pt with very high catalytic activity.
Ce shows +4 oxidation state (noble gas configuration [Xe]).
Elements after which 5f filling becomes dominant.
High stability in aqueous solution due to half-filled d5 subshell.
Iron mixed with Mo (as promoter) or Al2O3/K2O.
