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d-Block & f-Block Elements

Apply concepts from d-Block & f-Block Elements to problem-solving. Focus on numerical practice, shortcuts, and real-world applications.

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Concept Core

The d-block elements (transition metals) occupy groups 3-12 in periods 4-7 of the periodic table. They are characterised by partially filled d-orbitals in their ground state or common oxidation states. The general electronic configuration is (n-1)d^(1-10) ns^(0-2).

First Row Transition Metals (3d series: Sc to Zn)

Electronic Configurations: Most follow the expected filling order, with two key exceptions:

  • Cr: [Ar] 3d5  4s13d^{5} \; 4s^{1} (not 3d4  4s23d^{4} \; 4s^{2}) — extra stability of half-filled d-subshell
  • Cu: [Ar] 3d10  4s13d^{10} \; 4s^{1} (not 3d9  4s23d^{9} \; 4s^{2}) — extra stability of completely filled d-subshell

Anomalous configurations also occur in heavier elements: Mo (4d5  5s14d^{5} \; 5s^{1}), Ag (4d10  5s14d^{10} \; 5s^{1}), Pd (4d10  5s04d^{10} \; 5s^{0}), Pt (5d9  6s15d^{9} \; 6s^{1}), Au (5d10  6s15d^{10} \; 6s^{1}).

Anomalous Configurations: Cr and Cu

General Properties of d-Block Elements

Variable oxidation states: Due to small energy difference between (n-1)d and ns electrons, multiple oxidation states are possible. The maximum oxidation state increases from Sc (+3) to Mn (+7), then decreases. Common trends:

  • +2 state is most common (loss of ns2ns^{2} electrons)
  • Higher oxidation states are stabilised by fluoride and oxide ligands
  • Mn shows maximum oxidation state (+7) in the 3d series
  • Stability of +2 state increases across the series (increasing nuclear charge holds d-electrons tighter)

Metallic character: All are metals with high melting points, boiling points, and densities. Metallic bonding involves both ns and (n-1)d electrons. Trends: melting point increases to middle of series (maximum at Cr or Mo) then decreases. Exception: Mn has anomalously low melting point (weak metallic bonding due to complex crystal structure).

Atomic and ionic radii: Gradual decrease across the series (poor shielding by d-electrons), then slight increase at the end. The contraction is much less than across s- or p-blocks. First three elements (Sc, Ti, V) show significant decrease; middle elements are nearly constant; Cu and Zn show slight increase.

Ionisation enthalpy: Generally increases across the series but not regularly. Irregularities due to extra stability of d0d^{0}, d5d^{5}, and d10d^{10} configurations. IE values are intermediate between s-block (low) and p-block (high).

Colour: Most transition metal ions are coloured due to d-d transitions. d0d^{0} (Sc3Sc^{3}+, Ti4Ti^{4}+) and d10d^{10} (Cu+, Zn2Zn^{2}+) are colourless. Cu2Cu^{2}+ (d9d^{9}) is blue, Fe3Fe^{3}+ (d5d^{5}) is yellow, Cr3Cr^{3}+ (d3d^{3}) is green, Mn2Mn^{2}+ (d5d^{5}) is very pale pink.

3d Transition Metal Ion Colours (M2+ aqueous)

Magnetic properties: Paramagnetic when unpaired d-electrons present. Magnetic moment related to number of unpaired electrons: μ\mu = n(n+2\sqrt{n(n+2}) BM.

Catalytic activity: Transition metals are excellent catalysts due to: (1) variable oxidation states allowing electron transfer, (2) ability to form intermediates with reactants, (3) large surface area in finely divided state. Examples: Fe in Haber process, V2O5 in Contact process, Ni in hydrogenation, MnO2 in decomposition of KClO3.

Interstitial compounds: Small atoms (H, C, N, B) occupy voids in metal lattice, forming hard, high-melting, chemically inert compounds. TiC, steel (Fe-C), TiN are examples.

Alloy formation: Similar atomic sizes allow substitution in crystal lattices. Brass (Cu-Zn), bronze (Cu-Sn), stainless steel (Fe-Cr-Ni).

Important Compounds

Potassium dichromate (K2Cr2O7): Orange crystals, strong oxidising agent in acidic medium.
Cr2O72Cr2O7^{2}- + 14H+ + 6e-2Cr32Cr^{3}+ + 7H2O (E° = +1.33 V). Used in volumetric analysis, leather tanning. In acidic medium: orange (Cr2O72Cr2O7^{2}-); in basic medium: yellow (CrO42CrO4^{2}-). Equilibrium: 2CrO422CrO4^{2}- + 2H+Cr2O72Cr2O7^{2}- + H2O.

Potassium permanganate (KMnO4): Purple crystals, powerful oxidising agent. In acidic medium: MnO4- + 8H+ + 5e-Mn2Mn^{2}+ + 4H2O. In neutral/weakly alkaline: MnO4- + 2H2O + 3e- → MnO2 + 4OH-. Self-indicator in titrations (pink to colourless). Prepared from pyrolusite (MnO2) by fusion with KOH and oxidation.

f-Block Elements

Lanthanoids (La to Lu, 4f04f^{0}-14 5d05d^{0}-1 6s26s^{2}): Silvery-white metals with +3 as dominant oxidation state. Lanthanoid contraction: Steady decrease in atomic/ionic radii across the series due to poor shielding by 4f electrons. Consequences: (1) similar radii for 4d and 5d elements in same group, (2) difficulty in separation of lanthanoids, (3) basicity decreases La(OH)3 to Lu(OH)3.

Anomalous oxidation states: Ce4Ce^{4}+ (4f04f^{0}, noble gas-like), Eu2Eu^{2}+ (4f74f^{7}, half-filled), Yb2Yb^{2}+ (4f144f^{14}, completely filled).

Actinoids (Ac to Lr, 5f05f^{0}-14 6d06d^{0}-1 7s27s^{2}): Radioactive, many are synthetic. Show greater range of oxidation states (+3 to +7) than lanthanoids because 5f, 6d, and 7s have comparable energies. U, Np, Pu are most important. Actinoid contraction is greater than lanthanoid contraction due to poorer shielding by 5f electrons.


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