A2 INORGANIC CHEMISTRY AND ANALYSIS

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What is a transition element?

  • Definition: A transition element is a d-block element that forms one or more stable ions with an incomplete d subshell.

  • Where they are found: Between Groups 2 and 13 in the Periodic Table.

  • Exceptions:

    • Scandium (Sc) is not a transition element because Sc3+ has an empty 3d subshell.

    • Zinc (Zn) is not a transition element because Zn2+ has a completely filled 3d subshell.

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How does the shape of a 3dxy orbital compare to the 3dz² orbital?

  • 3dxy Orbital:

    • Four lobes positioned between the x and y axes.

    • Similar shape to the dxz and dyz orbitals, but oriented differently.

  • 3dz² Orbital:

    • Dumbbell-shaped lobes along the z-axis.

    • A doughnut-like ring around the center.

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What are the key properties of transition elements?

  • Variable oxidation states → Can form multiple stable ions.

  • Act as catalysts → Participate in redox reactions, stabilizing intermediates.

  • Form complex ions → Bond with ligands to create coordinate compounds.

  • Form coloured compounds → Due to d-electron splitting in ligand fields.

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Why do transition metals exhibit variable oxidation states?

  • Reason: Incomplete d subshells allow electrons to be lost from both 3d and 4s orbitals.

  • Example:

    • Iron (Fe): Forms Fe2+ and Fe3+.

    • Manganese (Mn): Forms Mn2+, Mn4+, Mn6+, and Mn7+.

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Why are transition metal compounds coloured?

  • Splitting of d-Orbitals

    • In free transition metal ions, the five d-orbitals have the same energy.

    • When ligands surround the metal ion in a complex, these orbitals experience an electric field and split into two energy levels:

      • Higher energy set (eg orbitals)

      • Lower energy set (t₂g orbitals)

    • This splitting depends on:

      • Type of metal ion

      • Oxidation state

      • Type of ligand

      • Geometry of the complex (e.g., octahedral, tetrahedral)

  • Absorption of Light & Electron Excitation

    • An electron in a lower-energy d-orbital can absorb visible light and move to a higher-energy d-orbital.

    • The wavelength absorbed corresponds to a specific colour of light.

    • The remaining wavelengths are transmitted or reflected, making the compound appear coloured.

  • Complementary Colours

    • The colour observed is the complementary colour of the light absorbed.

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Factors Affecting Colour

  • Oxidation State of Metal

    • Fe2+ forms pale green complexes.

    • Fe3+ forms yellow-brown complexes.

  • Ligand Type

    • Different ligands cause different amounts of d-orbital splitting, changing the light absorbed.

    • Example:

      • [Cr(OH)6]3−Dark Green

      • [Cr(NH3)6]3+Purple

  • Complex Geometry

    • Octahedral complexes absorb different wavelengths than tetrahedral complexes.

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How do transition metals act as catalysts?

  • Mechanisms:

    1. Surface adsorption (heterogeneous catalysis).

    2. Oxidation state changes (homogeneous catalysis).

  • Example: Iron (Fe) in the Haber ProcessSwitches between Fe2+ and Fe3+ to stabilize intermediates.

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Real-World Applications of Colour in Transition Metals

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What is a complex ion, and why do transition elements form them?

  • Definition: A central metal ion surrounded by ligands.

  • Why they form:

    • Different oxidation states allow bonding to a variety of ligands.

  • Examples:

    • Chromium(III) complexes:

      • [Cr(NH₃)₆]³⁺

      • [Cr(OH)₆]³⁻

      • [Cr(H₂O)₆]³⁺

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Why do transition elements have variable oxidation states?

  • Cause: Similar energies of the 3d and 4s sub-shells allow electrons to be lost from both orbitals.

  • Key Features:

    • The 4s electrons are lost first, followed by some 3d electrons.

    • Since d-electrons are not completely shielded, they can be removed at different levels, creating multiple oxidation states.

<ul><li><p><strong>Cause</strong>: <strong>Similar energies of the 3d and 4s sub-shells</strong> allow electrons to be <strong>lost from both orbitals</strong>.</p></li><li><p><strong>Key Features</strong>:</p><ul><li><p>The <strong>4s electrons are lost first</strong>, followed by <strong>some 3d electrons</strong>.</p></li><li><p>Since <strong>d-electrons are not completely shielded</strong>, they can be removed at different levels, creating <strong>multiple oxidation states</strong>.</p></li></ul></li></ul><p></p>
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Why do transition elements behave as catalysts?

Reasons:

  1. Variable oxidation states → Allows them to accept and donate electrons, stabilizing reaction intermediates.

  2. Vacant d orbitals → Can form dative bonds with reactants, lowering activation energy.

<p><strong>Reasons</strong>:</p><ol><li><p><strong>Variable oxidation states</strong> → Allows them to <strong>accept and donate electrons</strong>, stabilizing reaction intermediates.</p></li><li><p><strong>Vacant d orbitals</strong> → Can form <strong>dative bonds</strong> with reactants, lowering activation energy. </p></li></ol><p></p>
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Why do transition elements form complex ions?

  • Cause: Vacant d orbitals are energetically accessible, allowing them to bond with ligands via dative covalent bonds.

  • Definition: A complex ion consists of a central metal ion surrounded by ligands.

  • Key Features:

    • Ligands donate lone pairs to form dative covalent bonds.

    • Complexes can have various coordination numbers (e.g., 6 for octahedral, 4 for tetrahedral).

<ul><li><p><strong>Cause</strong>: Vacant d orbitals are <strong>energetically accessible</strong>, allowing them to bond with <strong>ligands via dative covalent bonds</strong>.</p></li><li><p><strong>Definition</strong>: A complex ion consists of a <strong>central metal ion</strong> surrounded by <strong>ligands</strong>.</p></li><li><p><strong>Key Features</strong>:</p><ul><li><p><strong>Ligands donate lone pairs</strong> to form <strong>dative covalent bonds</strong>.</p></li><li><p><strong>Complexes can have various coordination numbers</strong> (e.g., <strong>6 for octahedral, 4 for tetrahedral</strong>).</p></li></ul></li></ul><p></p>
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What is a ligand in a complex ion?

  • Definition: A species with a lone pair of electrons, which can form a dative covalent bond with a metal ion.

  • Types:

    • Neutral LigandsH₂O, NH₃.

    • Negatively Charged LigandsCl⁻, OH⁻.

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What is coordination number in complex ions?

Definition: The number of dative covalent bonds formed between the metal ion and ligands.

<p><strong>Definition</strong>: The <strong>number of dative covalent bonds</strong> formed between the metal ion and ligands. </p>
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How do transition metals stabilize reaction intermediates?

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What is the significance of vacant d orbitals in transition metal chemistry?

  • Vacant d orbitals allow complex formation by accepting electron pairs from ligands.

  • They enable catalysis by temporarily binding to reactants.

  • They contribute to variable oxidation states by participating in redox reactions.

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What are common shapes of transition metal complexes?

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What is a ligand?

  • Definition: A ligand is a molecule or ion with lone pairs of electrons, which forms dative covalent bonds with a central metal ion.

  • Key Features:

    • Electron donor → Donates a lone pair to the metal.

    • Forms coordinate bonds → Dative covalent bonding.

<ul><li><p><strong>Definition</strong>: A ligand is a <strong>molecule or ion</strong> with <strong>lone pairs of electrons</strong>, which forms <strong>dative covalent bonds</strong> with a <strong>central metal ion</strong>.</p></li><li><p><strong>Key Features</strong>:</p><ul><li><p><strong>Electron donor</strong> → Donates a <strong>lone pair</strong> to the metal.</p></li><li><p><strong>Forms coordinate bonds</strong> → Dative covalent bonding.</p></li></ul></li></ul><p></p>
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What is a complex ion?

  • Definition: A complex ion consists of a central metal ion surrounded by ligands.

  • Key Features:

    • Ligands form dative covalent bonds.

    • Overall charge depends on the metal ion and ligands.

<ul><li><p><strong>Definition</strong>: A <strong>complex ion</strong> consists of a <strong>central metal ion</strong> surrounded by <strong>ligands</strong>.</p></li><li><p><strong>Key Features</strong>:</p><ul><li><p><strong>Ligands form dative covalent bonds</strong>.</p></li><li><p><strong>Overall charge</strong> depends on the <strong>metal ion and ligands</strong>.</p></li></ul></li></ul><p></p>
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What are monodentate ligands?

Can form only one dative bond.

  • Examples: H₂O, NH₃, Cl⁻, CN⁻

<p>Can <strong>form only one</strong> dative bond.</p><ul><li><p>Examples: <strong>H₂O, NH₃, Cl⁻, CN⁻</strong></p></li></ul><p></p>
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What are bidentate ligands?

Bidentate Ligands → Can form two dative bonds.

  • Examples: 1,2-diaminoethane ("en"), Ethanedioate ("ox").

<p><strong>Bidentate Ligands</strong> → Can <strong>form two</strong> dative bonds.</p><ul><li><p>Examples: <strong>1,2-diaminoethane ("en"), Ethanedioate ("ox")</strong>.</p></li></ul><p></p>
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What are polydentate ligands

Polydentate Ligands → Can form multiple dative bonds.

  • Example: EDTA⁴⁻Hexadentate ligand.

<p><strong>Polydentate Ligands</strong> → Can <strong>form multiple</strong> dative bonds.</p><ul><li><p>Example: <strong>EDTA⁴⁻</strong> → <strong>Hexadentate ligand</strong>.</p></li></ul><p></p>
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How do transition metals react with ligands to form complexes?

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What determines the shape of a complex ion?

  • Coordination Number (number of ligands bound to metal).

  • Common Shapes:

    • Octahedral (coordination number 6) → [Cu(H2O)6]2+.

    • Tetrahedral (coordination number 4) → [CoCl4]2−.

    • Square Planar (coordination number 4) → [Pt(NH3)2Cl2].

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How does ligand size affect complex formation?

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How do transition metal complexes change colour?

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What is ligand exchange?

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What are the common geometries of transition element complexes?

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What is the linear geometry of transition element complexes?

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What is the tetrahedral geometry of transition element complexes?

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What is the square planar geometry of transition element complexes?

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What is the octahedral geometry of transition element complexes?

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What is coordination number?

  • Definition: The number of coordinate (dative covalent) bonds formed between the central metal ion and ligands.

  • It does not depend on the number of ligands, only on the number of bonds.

<ul><li><p><strong>Definition</strong>: The <strong>number of coordinate (dative covalent) bonds</strong> formed between the <strong>central metal ion</strong> and <strong>ligands</strong>.</p></li><li><p><strong>It does not depend on the number of ligands, only on the number of bonds</strong>.</p></li></ul><p></p>
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How do you predict the formula and charge of a complex ion?

Steps:

  1. Identify central metal ion and its charge.

  2. Identify ligands and their charges.

  3. Determine coordination number (geometry).

  4. Calculate total charge (sum of metal charge and ligand charges).

<p><strong>Steps</strong>:</p><ol><li><p>Identify <strong>central metal ion</strong> and its charge.</p></li><li><p>Identify <strong>ligands</strong> and their charges.</p></li><li><p>Determine <strong>coordination number (geometry)</strong>.</p></li><li><p>Calculate <strong>total charge</strong> (sum of metal charge and ligand charges).</p></li></ol><p></p>
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How does ligand size affect complex formation?

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How do transition metals form complex ions?

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What determines complex charge?

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What is ligand exchange?

  • Definition: Ligand exchange (or ligand substitution) occurs when one ligand in a complex is replaced by another.

  • Key Features:

    • Can be partial or complete substitution of ligands.

    • Forms a more stable complex than the original.

    • No change in coordination number or geometry if the new ligand is of similar size.

    • Change in coordination number and geometry if the new ligand is larger or smaller than the original.

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What is the ligand exchange reaction in copper(II) complexes?

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What is the ligand exchange reaction in cobalt(II) complexes?

1. Hydroxide Ligand Exchange

  • Starting Complex:

[Co(H2O)6]2+(Pink solution)

  • Reaction with NaOH (partial substitution):

[Co(H2O)6]2++2OH→[Co(H2O)4(OH)2](Blue precipitate)Excess alkali and warmingRed precipitate.

2. Ammonia Ligand Exchange

  • Reaction with excess NH₃ (complete substitution):

[Co(H2O)6]2++6NH3→[Co(NH3)6]2++6H2O

  • Colour change: Pink → Brown.

  • Further oxidation in air:

[Co(NH3)6]2+→[Co(NH3)6]3+

  • Final Colour: Dark brown (Cobalt(III) complex).

3. Chloride Ligand Exchange

  • Reaction with HCl (complete substitution):

[Co(H2O)6]2++4Cl→[CoCl4]2−+6H2O

  • Colour change: Pink → Blue.

  • Coordination number change: 6 → 4 (octahedral → tetrahedral geometry).

  • Adding water reverses reaction, restoring pink colour.

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How does ligand size affect ligand exchange?

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Why is ligand exchange reversible?

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What causes colour changes during ligand exchange?

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How does coordination number change in ligand exchange?

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How does ligand exchange affect stability?

  • Stronger ligand-metal interactions lead to more stable complexes.

  • Example:

    • NH₃ forms a more stable complex with Cu²⁺ than H₂O.

    • Cl⁻ forms a weaker complex, leading to reversible ligand exchange.

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What is the overall impact of ligand exchange?

  • Changes in colour, shape, and coordination number.

  • Reversibility based on ligand interactions.

  • Important for biological and industrial chemistry (e.g., hemoglobin, catalysis).

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What is a redox reaction, and how are transition metals involved?

  • Definition: A redox reaction is a reaction in which one species is oxidized (loses electrons) and another is reduced (gains electrons).

  • Role of Transition Metals:

    • Transition metals have variable oxidation states, enabling electron transfer in redox reactions.

    • Example:

      • Iron(III) ions can be reduced to Iron(II) ions.

      • Copper(I) ions can be oxidized to Copper(II) ions.

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:What is the standard electrode potential (E), and how does it help predict reaction feasibility?

  • Definition: E is the electrode potential measured under standard conditions relative to the standard hydrogen electrode (E = 0 V).

  • Key Interpretations:

    • More positive E → The species is more likely to gain electrons (be reduced).

    • More negative E → The species is more likely to lose electrons (be oxidized).

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How do you use E values to determine if a reaction is feasible?

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Example: Is the reduction of Fe³⁺ by Cu²⁺ feasible?

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Why do some feasible reactions not occur spontaneously?

  • Standard electrode potentials only predict feasibility, not rate.

  • Some reactions have high activation energies, preventing spontaneous occurrence.

  • Example:

    • Conversion of Fe³⁺ to Fe²⁺ is thermodynamically feasible (Ecell is positive).

    • But reaction may need a catalyst to lower activation energy.

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How do transition metals change oxidation states in redox reactions?

  • Electrons are transferred, causing the metal ion to gain or lose oxidation state.

  • Example:

    • Iron changes between +2 and +3 oxidation states in different redox reactions.

    • Manganese changes between +2, +4, +6, and +7 oxidation states.

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How do you balance redox reactions using half-equations?

  • Write each half-equation separately (one oxidation, one reduction).

  • Balance atoms (except H and O).

  • Balance oxygen using H₂O.

  • Balance hydrogen using H⁺.

  • Balance charge using electrons.

  • Multiply to ensure equal electron transfer, then combine.

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Example: Redox titration involving MnO₄⁻ and Fe²⁺?

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How does E° influence industrial processes?

  • Reactions with highly positive E° values are often used in electrochemical cells.

  • Feasible but slow redox reactions may require catalysts in industry.

  • Example:

    • Electrolysis reactions require external voltage to drive non-spontaneous redox changes.

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How do transition metals act as redox catalysts?

  • They can switch oxidation states easily, stabilizing intermediate steps.

  • Example:

    • Manganese in MnO₄⁻ reduction can act as an autocatalyst, speeding up reactions as Mn²⁺ accumulates.

  • Importance in industry:

    • Used in catalytic converters, biochemical reactions, and industrial metal purification.

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What is a redox reaction?

  • Definition: A reaction where one species loses electrons (oxidation) and another gains electrons (reduction).

  • Key Concept:

    • Oxidation → Increase in oxidation state.

    • Reduction → Decrease in oxidation state.

  • Example: Fe2+→Fe3++e

(Iron(II) is oxidized to Iron(III), losing an electron.)

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How do you construct a balanced redox equation?

  1. Write separate half-equations for oxidation & reduction.

  2. Balance atoms (except H & O).

  3. Balance oxygen using H₂O.

  4. Balance hydrogen using H⁺.

  5. Balance charge using electrons.

  6. Ensure equal electron transfer, then combine half-equations.

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What is the redox reaction between MnO₄⁻ and C₂O₄²⁻ in acid?

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What is autocatalysis in the MnO₄⁻ / C₂O₄²⁻ reaction?

  • Definition: A reaction catalyzed by one of its own products.

  • Mechanism:

    • Mn²⁺ ions formed accelerate the reaction.

    • The more Mn²⁺, the faster the reaction proceeds.

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What is the redox reaction between MnO₄⁻ and Fe²⁺ in acid?

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How does titration of MnO₄⁻ / Fe²⁺ work?

  • MnO₄⁻ is added dropwise into Fe²⁺ solution.

  • End-point: First trace of permanent pink appears.

  • Reason: MnO₄⁻ is slightly in excess and turns pink.

  • Used to determine Fe²⁺ concentration in unknown solutions.

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What is the redox reaction between Cu²⁺ and I⁻?

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What happens when excess I⁻ is used with Cu²⁺?

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How is Cu²⁺ concentration determined using thiosulfate titration?

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What are key redox calculations for transition metals?

  • Construct balanced redox equations.

  • Calculate oxidation states of metals.

  • Determine oxidizing & reducing agents.

  • Calculate standard electrode potentials (E).

  • Use molar ratios to find concentrations in titrations.

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What are degenerate and non-degenerate d orbitals?

  • Degenerate Orbitals:

    • Definition: Five d orbitals in an isolated transition metal ion that have equal energy.

    • Example: 3d orbitals in a free metal ion.

  • Non-Degenerate Orbitals:

    • Definition: When ligands attach, the d orbitals split into two sets with different energy levels.

    • Cause: Dative bonding from ligands creates electrostatic repulsion, leading to orbital splitting.

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How do degenerate d orbitals split upon ligand bonding?

  • Before bondingAll five d orbitals have equal energy (degenerate).

  • After bondingOrbitals split into two sets (non-degenerate).

  • Splitting depends on complex geometry:

    • Octahedral ComplexesTwo higher-energy orbitals, three lower-energy orbitals.

    • Tetrahedral ComplexesThree higher-energy orbitals, two lower-energy orbitals.

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What happens in octahedral complexes?

  • Six ligands surround the metal ion.

  • Electrons in the dx²-y² and dz² orbitals experience more repulsion because these orbitals align with ligand approach.

  • Splitting pattern:

    • Higher-energy orbitalsdx²-y² and dz².

    • Lower-energy orbitalsdxy, dxz, dyz.

  • Energy difference labeled as ΔE.

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What happens in tetrahedral complexes?

  • Four ligands surround the metal ion.

  • Electrons in the dxy, dxz, dyz orbitals experience more repulsion because these orbitals align with ligand approach.

  • Splitting pattern:

    • Higher-energy orbitalsdxy, dxz, dyz.

    • Lower-energy orbitalsdx²-y² and dz².

  • Energy difference labeled as ΔE.

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Why does orbital splitting occur?

  • Ligands donate lone pairs, creating electrostatic repulsion.

  • Orbitals aligned with ligand approach experience greater repulsion, moving to higher energy levels.

  • Orbitals positioned between ligand approach experience less repulsion, moving to lower energy levels.

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How does ΔE affect complex color?

  • ΔE determines the wavelength of light absorbed.

  • Electrons absorb energy to jump from lower to higher orbitals.

  • The color observed is the complementary color of absorbed light.

  • Example:

    • Large ΔEAbsorbs higher-energy light (violet/blue), appears yellow/orange.

    • Small ΔEAbsorbs lower-energy light (red), appears green/blue.

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How does complex geometry affect ΔE?

  • Octahedral complexesLarger ΔE due to stronger ligand repulsion.

  • Tetrahedral complexesSmaller ΔE due to weaker ligand repulsion.

  • ΔE influences absorption of visible light, affecting complex color.

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What are real-world applications of d orbital splitting?

  • Transition metal complexes in dyes and pigments.

  • Biological systems (e.g., hemoglobin, chlorophyll).

  • Catalysis in industrial processes (e.g., hydrogenation, oxidation reactions).

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Why do transition element complexes appear coloured, and how does electron promotion explain this phenomenon?

Electron Promotion:

  • Definition: When light shines on a transition element complex, an electron absorbs a precise amount of energy (ΔE) and gets promoted from a lower non-degenerate d orbital to a higher non-degenerate d orbital.

  • Cause: Ligands split the originally degenerate d orbitals, creating two non-degenerate energy levels.

Colour Formation:

  • Light Absorption: The complex absorbs specific frequencies of light from the visible spectrum.

  • Complementary Colour: The frequencies not absorbed combine to create the colour observed.

  • Example: Copper(II) ions absorb red light, leading to a pale blue (cyan) appearance.

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How does the type of ligand influence the colour of a transition element complex?

Ligand Effect on ΔE:

  • Definition: Different ligands split the d orbitals by different amounts of energy due to varying levels of repulsion, modifying ΔE.

  • Result: This changes the frequency of light absorbed, altering the observed complementary colour.

Examples:

  • [Cu(H₂O)₆]²⁺ → Light blue (Water ligands cause smaller ΔE)

  • [Cu(NH₃)₄(H₂O)₂]²⁺ → Dark blue (Ammonia ligands cause greater ΔE)

Despite both complexes containing Cu²⁺, their ligands influence orbital splitting, affecting the observed colour.

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What happens to the colour of transition metal complexes when ligand exchange occurs in Cu²⁺ and Co²⁺ complexes?

Ligand Exchange Effect:

  • Definition: Changing ligands modifies d orbital splitting, altering ΔE and shifting the absorbed light frequency.

  • Result: The observed colour changes due to a different complementary colour being formed.

Examples:

Ammonia Ligand Exchange:

  • [Cu(H₂O)₆]²⁺ (light blue) → [Cu(NH₃)₄(H₂O)₂]²⁺ (deep blue)

  • [Co(H₂O)₆]²⁺ (pink) → [Co(NH₃)₆]²⁺ (brown)

Chloride Ligand Exchange:

  • [Cu(H₂O)₄(OH)₂] (pale blue precipitate) → [CuCl₄]²⁻ (yellow solution)

  • [Co(H₂O)₄(OH)₂] (blue precipitate) → [CoCl₄]²⁻ (blue solution)

Ligand exchange alters ΔE, shifting the absorbed frequency and changing the observed colour.

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How does the equation ΔE = h × v explain the relationship between light absorption and colour changes in transition element complexes?

Mathematical Relationship:

  • Equation: ΔE = h × v

    • h = Planck’s constant (6.626 × 10⁻³⁴ m² kg s⁻¹)

    • v = frequency of absorbed light (Hz)

  • Light Absorption: Electrons absorb exactly ΔE, promoting them between non-degenerate d orbitals.

Effect on Colour:

  • The size of ΔE depends on ligand type.

  • Different ligands affect ΔE, changing the frequency of absorbed light.

  • This determines the complementary colour observed in solution.

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What types of stereoisomerism do transition element complexes exhibit, and how do geometrical and optical isomers form?

Stereoisomerism in Complexes: Transition metal complexes can show geometrical (cis/trans) isomerism and optical isomerism due to different ligand arrangements.

Geometrical (Cis/Trans) Isomerism:

Occurs in square planar and octahedral complexes with two different pairs of ligands.

  • Square Planar Example:

    • Cisplatin ([Pt(NH₃)₂Cl₂]) is used in cancer treatment because it can bind to DNA.

    • Transplatin has chloride ligands opposite each other and lacks medical benefits.

  • Octahedral Example:

    • [Co(NH₃)₄(H₂O)₂]²⁺ and [Ni(en)₂(H₂O)₂]²⁺ exhibit cis-trans isomerism.

    • Cis-isomer: Two different ligands are next to each other.

    • Trans-isomer: Two different ligands are opposite each other.

Optical Isomerism:

Occurs in octahedral complexes with bidentate ligands like [Ni(en)₃]²⁺ and [Ni(en)₂(H₂O)₂]²⁺.

  • Optical isomers are non-superimposable mirror images that rotate plane-polarized light differently.

  • They lack a plane of symmetry, making them truly distinct.

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How does geometrical isomerism affect the polarity of transition element complexes?

Polarity in Square Planar Complexes:

  • Cisplatin ([Pt(NH₃)₂Cl₂]) has both chlorine ligands on the same side, causing charge imbalance, making it polar.

  • Transplatin has chlorine ligands opposite each other, balancing the charge, making it non-polar.

Polarity in Octahedral Complexes:

  • Cis-[Co(NH₃)₄(H₂O)₂]²⁺ is polar because water ligands cause charge imbalance (oxygen is more electronegative than nitrogen).

  • Trans-[Co(NH₃)₄(H₂O)₂]²⁺ is non-polar due to symmetrical ligand arrangement, balancing charge distribution.

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What is the stability constant (Kstab), and how does it relate to ligand exchange in transition element complexes?

Definition:

  • Kstab is the equilibrium constant for the formation of a complex ion in a solvent from its constituent ions or molecules.

  • It indicates how stable a complex is compared to its free metal ion and ligands.

Formation of Complex Ions:

  • Transition element ions in aqueous solutions become hydrated, forming complexes like [Co(H₂O)₆]²⁺.

  • When other ligands are present, ligand exchange occurs, leading to a more stable complex.

  • Example: Adding ammonia stepwise to [Cu(H₂O)₆]²⁺ leads to [Cu(NH₃)₄(H₂O)₂]²⁺, a more stable complex.

Kstab & Complex Stability:

  • Larger Kstab → More stable complex (favored equilibrium).

  • Smaller Kstab → Less stable complex (less favored equilibrium).

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How is the expression for Kstab written, and why is [H₂O] excluded?

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How can Kstab expressions be used to compare complex stability and determine equilibrium positions?

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How does ligand exchange affect Kstab, and why does a larger Kstab indicate a more stable complex ion?

Ligand Exchange:

  • Ligand substitution occurs to form a more stable complex with a larger Kstab.

  • Stability constants are often expressed on a log₁₀ scale for easier comparison.

Example of Ligand Substitution: When ammonia is added to [CoCl₄]²⁻, the chloride ligands are replaced, forming a more stable ammonia complex.

<p><strong>Ligand Exchange:</strong></p><ul><li><p>Ligand substitution occurs to form a <strong>more stable complex</strong> with a <strong>larger Kstab</strong>.</p></li><li><p>Stability constants are often expressed on a <strong>log₁₀ scale</strong> for easier comparison.</p></li></ul><p><strong>Example of Ligand Substitution:</strong> When ammonia is added to <strong>[CoCl₄]²⁻</strong>, the chloride ligands are replaced, forming a more stable <strong>ammonia complex</strong>.</p>
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What is the trend in the thermal stability of Group 2 nitrates and carbonates?

  • Definition: Thermal stability refers to the resistance of a compound to decomposition when heated.

  • Trend: Thermal stability increases down Group 2.

  • Reason:

    • Smaller metal cations (top of Group 2) have higher charge density, causing greater polarisation of the nitrate (NO3) and carbonate (CO32−) anions.

    • Polarisation weakens bonds, requiring less heat to decompose.

    • Larger metal cations (bottom of Group 2) have lower charge density, less polarising effect, and thus higher thermal stability.

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How does ionic radius affect the polarisation of the nitrate and carbonate anions?

  • Smaller cations (e.g., Be2+, Mg2+):

    • Higher charge density → Strong attraction to anion → Greater distortion of electron cloudWeaker bondsLower thermal stability.

  • Larger cations (e.g., Ba2+):

    • Lower charge density → Weaker attraction to anion → Less distortionStronger bondsHigher thermal stability.

  • Example:

    • MgCO₃ decomposes more easily than BaCO₃ due to greater polarisation.

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What are the thermal decomposition reactions of Group 2 nitrates and carbonates?

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What is the solubility trend of Group 2 hydroxides?

  • Trend: Solubility increases down the group.

  • Example: Mg(OH)₂ is less soluble than Ba(OH)₂.

  • Reason:

    • Smaller cations (Mg2+) form stronger lattice interactions, requiring more energy to break apartLower solubility.

    • Larger cations (Ba2+) form weaker lattice interactions, making them easier to dissolveHigher solubility.

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What is the solubility trend of Group 2 sulfates?

  • Trend: Solubility decreases down the group.

  • Example: BaSO₄ is nearly insoluble in water, whereas MgSO₄ is quite soluble.

  • Reason:

    • Large sulfate anion (SO42-) forms strong lattice interactions with larger cations, making it harder to dissolve.

    • Down the group, lattice energy does not decrease as fast as hydration energy, making solubility lower.

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What is enthalpy change of solution (ΔHsol)?

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What is lattice energy (ΔHlatt)?

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What is hydration enthalpy (ΔHhyd)?

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What is the trend in enthalpy change of solution (ΔHsol) down Group 2?

  • Group 2 hydroxidesMore exothermic, increasing solubility.

  • Group 2 sulfatesMore endothermic, decreasing solubility.

  • Reason:

    • Hydration energy decreases down the group (weaker ion-dipole bonds).

    • Lattice energy decreases down the group, but not as rapidly for sulfates.

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Why are sulfates less soluble but hydroxides more soluble down Group 2?

  • Hydroxides:

    • OH- is small, so lattice energy drops faster than hydration enthalpy → More exothermic ΔHsol Higher solubility.

  • Sulfates:

    • SO42− is large, so lattice energy stays strong while hydration enthalpy drops → More endothermic ΔHsolLower solubility.

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What is Thin Layer Chromatography (TLC), and what are its phases?

Definition:

  • TLC is a technique used to separate and analyze small samples of mixtures.

  • Example: Separating dyes in forensic samples.

Phases in TLC:

  1. Stationary Phase:

    • A thin layer of alumina (Al₂O₃) or silica (SiO₂) coated on a solid support (e.g., metal sheet).

    • Solute molecules adsorb onto the surface.

    • Components interact with the stationary phase based on polarity and adsorption strength.

  2. Mobile Phase:

    • A polar or non-polar solvent or gas that flows over the stationary phase.

    • Carries the components of the sample being analyzed.

    • Examples:

      • Polar solvents: Water, alcohols.

      • Non-polar solvents: Alkanes.

Key Principle:

  • The separation depends on:

    • Interaction with the stationary phase: Stronger interactions cause components to "stick" and move slower.

    • Solubility in the mobile phase: Higher solubility allows components to travel further.

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How is a TLC analysis conducted step-by-step?

Step-by-Step Procedure:

  1. Prepare the Solvent:

    • Add a small quantity of solvent to a beaker.

  2. Draw the Baseline:

    • Use a pencil to draw a horizontal line near the bottom edge of the TLC plate.

    • Why pencil? Ink would interact with the sample and solvents.

  3. Spot the Samples:

    • Place a spot of pure reference compound on the left of the baseline.

    • Place a spot of the sample to be analyzed on the right.

    • Allow the spots to air dry.

  4. Place the Plate in the Beaker:

    • Ensure the baseline is above the solvent level.

    • Cover the beaker with a lid.

  5. Allow the Solvent to Travel:

    • The solvent moves up the plate, dissolving and carrying the sample components.

  6. Mark the Solvent Front:

    • When the solvent reaches the top, remove the plate and draw a pencil line at the solvent's highest point (solvent front).

Result:

  • The sample components separate and travel different distances based on their interactions with the stationary phase and solubility in the mobile phase.

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What are Rf values, and how are they calculated?

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How can Rf values be interpreted?

  1. Higher Rf Values:

    • Components travel further up the TLC plate.

    • Indicates:

      • Less polar components.

      • Higher solubility in the mobile phase.

  2. Lower Rf Values:

    • Components stay closer to the baseline.

    • Indicates:

      • More polar components.

      • Stronger interaction with the stationary phase.

Practical Use:

  • Compare Rf values of unknown components with reference compounds to identify them.

  • Example: If an unknown component has an Rf value of 0.5 and matches the Rf value of a known compound, they are likely the same.

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What causes differences in Rf values?

Factors Affecting Rf Values:

  1. Interaction with the Stationary Phase:

    • Polar components interact strongly with polar stationary phases (e.g., silica or alumina).

    • Stronger interaction causes components to "stick" and move slower, resulting in lower Rf values.

  2. Solubility in the Mobile Phase:

    • Non-polar components dissolve better in non-polar solvents (mobile phase).

    • Higher solubility allows components to travel further, resulting in higher Rf values.

Example:

  • Using a polar stationary phase (silica) and a non-polar solvent (hexane):

    • Non-polar component: High Rf value (travels further).

    • Polar component: Low Rf value (travels less).

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What are the key terms and concepts in TLC?

Key Concepts:

  • Separation depends on:

    • Interaction with the stationary phase: Stronger interaction → Lower Rf value.

    • Solubility in the mobile phase: Higher solubility → Higher Rf value.

<p><strong>Key Concepts:</strong></p><ul><li><p>Separation depends on:</p><ul><li><p><strong>Interaction with the stationary phase:</strong> Stronger interaction → Lower Rf value.</p></li><li><p><strong>Solubility in the mobile phase:</strong> Higher solubility → Higher Rf value.</p></li></ul></li></ul><p></p>