Periodic Properties and Group Chemistry
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Periodic properties are the recurring trends in atomic and ionic radii, ionisation energy (IE), electron affinity (EA), and electronegativity (χ) that arise from changing effective nuclear charge (Z_eff) across periods and groups. Z_eff = Z − σ, where σ is the shielding constant from Slater’s rules.
Across Period 3, oxide/hydroxide acidity shifts: Na₂O/MgO basic → Al₂O₃ amphoteric → SiO₂ weakly acidic → P₄O₁₀, SO₃, Cl₂O₇ acidic. Down Group 1, reactivity, basicity of MOH, and ionic radius all increase; flame colours are Li = crimson, Na = yellow, K = lilac, Rb = red, Cs = blue.
Down Group 17, oxidising power and electronegativity fall (F₂ > Cl₂ > Br₂ > I₂), but hydrohalic acid strength rises: HF is weak, HCl/HBr/HI are strong. Only AgF is soluble among silver halides; AgCl (white), AgBr (pale yellow), AgI (yellow) precipitate.
- IE1 jumps appear at Group 2→13 (s→p transition) and Group 15→16 (paired p-electron repulsion).
- Electronegativity (Pauling): F ≈ 3.98 is the maximum; χ falls down a group.
- Inert pair effect stabilises +1 in heavy Group 13 (Tl) and +2 in heavy Group 14 (Sn, Pb).
🟡 Standard — Regular Study (2d–2mo)
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Atomic and Ionic Radii
Atomic radius decreases across a period (Z_eff rises, shielding nearly constant) and increases down a group (extra shell outweighs Z_eff gain). Cations are smaller than their parent atoms; anions are larger. For isoelectronic species (e.g. Na⁺, Mg²⁺, Al³⁺), radius shrinks as nuclear charge rises.
Ionisation Energy, Electron Affinity, Electronegativity
First IE generally rises across a period with two notable discontinuities: a dip at Group 13 (new p-subshell, weaker hold) and a dip at Group 15→16 (paired-electron repulsion in the 2p orbital of O, S). Successive IEs rise sharply — a large jump marks removal of a core electron. EA becomes more exothermic across a period up to Cl; noble gases have positive EA.
Mulliken scale: χ_M = (IE + EA)/2, with IE and EA in the same units (eV). Convert to Pauling by dividing by 5.6 eV (≈ 5.6 eV ≈ 2.54 × 10⁻¹⁹ J).
Period 3 Oxide–Hydroxide Trend
| Oxide | Na₂O | MgO | Al₂O₃ | SiO₂ | P₄O₁₀ | SO₃ | Cl₂O₇ |
|---|---|---|---|---|---|---|---|
| Nature | Basic | Basic | Amphoteric | Weakly acidic | Acidic | Acidic | Acidic |
| Hydroxide | NaOH (strong base) | Mg(OH)₂ (weak base) | Al(OH)₃ amphoteric | H₂SiO₃ weak acid | H₃PO₄ medium | H₂SO₄ strong | HClO₄ very strong |
Group 1 and Group 2 Reactivity
Alkali metals (M) react with water to give MOH + ½H₂; reactivity intensifies down the group as IE1 falls. Alkaline earths show the same trend but with +2 oxidation and a steady fall in thermal stability of carbonates down the group — a classic JAMB trap, because basicity of hydroxides increases down the group.
Basicity vs thermal stability: Group 2 hydroxide basicity rises down the group, but carbonate/nitrate thermal stability falls down the group.
🔴 Extended — Deep Study (3mo+)
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Halogens and the Silver Halide Trap
Down Group 17, bond energy falls (HF exceptionally strong from H-bonding), so oxidising power falls: F₂ > Cl₂ > Br₂ > I₂. Acid strength of HX rises down the group because the H–X bond weakens and the larger X⁻ is stabilised by charge dispersal. The solubility of silver halides is a frequent UTME question:
- AgF: soluble (no precipitate with AgNO₃).
- AgCl: white precipitate, soluble in dilute NH₃.
- AgBr: pale yellow, soluble in concentrated NH₃.
- AgI: yellow, insoluble in NH₃.
Inert Pair Effect and Diagonal Relationships
In heavier p-block metals, the ns² electrons resist ionisation, leaving the (n−1)d¹⁰ ns² “inert pair”. This stabilises Tl⁺ over Tl³⁺, Pb²⁺ over Pb⁴⁺, and Bi³⁺ over Bi⁵⁺. Diagonal relationships (Li/Mg, Be/Al, B/Si) come from similar charge/size ratios: LiOH and Mg(OH)₂ are both weakly basic; BeCl₂ and AlCl₃ are both covalent and polymeric.
Born–Haber Connection
Lattice energy scales as U ∝ (Z⁺Z⁻)/(r⁺ + r⁻). This explains why MgO (small r⁺, r⁻, +2 charge) has a far higher lattice enthalpy than NaCl, and why MgO’s higher charge density raises its melting point dramatically compared with Na₂O.
Practice Prompts
- Arrange Li⁺, Na⁺, K⁺, Rb⁺ in order of increasing ionic radius and justify using Z_eff and shell count.
- Explain why Al(OH)₃ dissolves in both NaOH(aq) and HCl(aq), writing equations for each reaction.
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Sources & verification
- Official JAMB UTME syllabus & pattern: https://www.jamb.gov.ng
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- Reviewed by Pushkar Saini · last updated
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