Chemistry of transition elements

General Physical and Chemical Properties (Ti to Cu)

1. Definition of Transition Element

A transition element is a d-block element that forms at least one stable ion with an incomplete d orbital. For example, Fe²⁺ (3d⁶) is a transition metal ion.

2. Shapes of 3d Orbitals

  • 3dxy : Lies in the xy-plane, lobes between axes.
  • 3d : Dumbbell with a donut shape around the z-axis.

3. Key Properties of Transition Elements

  • (a) Variable Oxidation States: Due to similar energy of 3d and 4s orbitals.
  • (b) Catalytic Behavior: Can change oxidation state; have vacant d orbitals.
  • (c) Formation of Complex Ions: Central metal ion bonds with ligands.
  • (d) Formation of Coloured Compounds: d-d transitions absorb visible light.

4. Explanation for Variable Oxidation States

  • The 3d and 4s sub-shells have similar energy levels, allowing loss of different numbers of electrons.

5. Explanation for Catalytic Behavior

  • Accessible oxidation states allow electron transfer.
  • Vacant d orbitals allow formation of intermediates via dative bonds.

6. Explanation for Complex Ion Formation

  • Transition metals have vacant d orbitals that can accept electron pairs from ligands.

Characteristic Chemical Properties

1. Complex Formation Reactions

  • Examples:
    • [Cu(H₂O)₆]²⁺ + 4NH₃ ⇌ [Cu(NH₃)₄(H₂O)₂]²⁺
    • Ligand exchanges with Cl⁻ or OH⁻.

2. Definition of Ligand

A ligand is a species with a lone pair of electrons, forming dative covalent bonds with a metal ion.

3. Types of Ligands

  • Monodentate: H₂O, NH₃, Cl⁻, CN⁻
  • Bidentate: en (ethylenediamine), C₂O₄²⁻
  • Polydentate: EDTA⁴⁻

4. Definition of Complex Ion

A complex is a central metal ion bonded to one or more ligands via dative bonds.

5. Geometry of Complexes

  • Linear: 180° (e.g., [Ag(NH₃)₂]⁺)
  • Square Planar: 90° (e.g., [Pt(NH₃)₂Cl₂])
  • Tetrahedral: ~109.5° (e.g., [CuCl₄]²⁻)
  • Octahedral: 90° (e.g., [Fe(H₂O)₆]³⁺)

6. Coordination Number

  • Definition: Number of coordinate bonds to the central ion.
  • Use ligand charges, geometry, and metal oxidation state to predict complex formulas.

7. Ligand Exchange

  • E.g., [Cu(H₂O)₆]²⁺ + NH₃ ⇌ [Cu(NH₃)₄(H₂O)₂]²⁺
  • Colour and geometry can change.

8. Predicting Redox Reactions with E° Values

  • Use standard electrode potentials (E°) to determine feasible redox reactions.

9. Redox Reaction Examples

  • MnO₄⁻ / C₂O₄²⁻ in acid
  • MnO₄⁻ / Fe²⁺ in acid
  • Cu²⁺ / I⁻: Cu²⁺ + 2I⁻ → CuI (white ppt) + ½I₂ (brown solution)

10. Redox Calculations

  • Use mole ratios, E° values, and concentrations to calculate cell potentials and predict spontaneity.

Colour of Complexes

1. Degenerate and Non-degenerate d Orbitals

  • Degenerate: Equal energy.
  • Non-degenerate: Energy levels split in a ligand field.

2. Splitting of d Orbitals

  • Octahedral: 3 lower (t₂g), 2 higher (e<sub>g</sub>) orbitals.
  • Tetrahedral: Opposite (2 lower, 3 higher).

3. Origin of Colour

  • Electron absorbs light and is promoted between split d orbitals.
  • ΔE = hf, colour seen is complementary to absorbed.

4. Ligand Effects on Colour

  • Strong-field ligands (e.g., CN⁻) → Larger ΔE → Absorb higher energy light.
  • Weak-field ligands (e.g., H₂O) → Smaller ΔE → Absorb lower energy.

5. Examples of Colour Change

  • [Cu(H₂O)₆]²⁺ (blue) → [Cu(NH₃)₄(H₂O)₂]²⁺ (deep blue)
  • [Co(H₂O)₆]²⁺ (pink) → [CoCl₄]²⁻ (blue)

Stereoisomerism in Complexes

1. Types of Isomerism

  • Geometrical (cis/trans):
    • Square planar: [Pt(NH₃)₂Cl₂]
    • Octahedral: [Co(NH₃)₄(H₂O)₂]²⁺
  • Optical Isomerism:
    • Chiral complexes with bidentate ligands.
    • [Ni(en)₃]²⁺ has non-superimposable mirror images.

2. Polarity of Isomers

  • Geometry affects overall dipole moment (polarity) and solubility.

Stability Constants (Kstab)

1. Definition

Kstab is the equilibrium constant for the formation of a complex ion.

2. Expression

  • E.g., for [Cu(NH₃)₄]²⁺: Kstab= [Cu(NH₃)₄2+] / ([Cu2+][NH₃]4)

3. Calculations

  • Use given values to determine concentrations at equilibrium.

4. Ligand Exchange & Kstab

  • A ligand with a higher Kstab replaces one with a lower Kstab.
  • Chelate effect: Multidentate ligands often form more stable complexes.

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