• Modern Periodic Law: physical & chemical properties are periodic functions of atomic number (Z).
• Long‐form table: 7 periods, 18 groups, four blocks (s, p, d, f).
• Positioning exceptions
– \text{He} chemically noble gas but electronic s-block ⇒ placed with Group 18.
– H can lose 1e^- (alkali-like) or gain 1e^- (halogen-like) ⇒ shown separately.
• Block characteristics
– s-block (ns^{1-2}): active metals, low \Delta_iH, form +1/+2 cations.
– p-block (ns^2np^{1-6}): includes halogens (highly electronegative) & chalcogens; ends each period with noble gas (ns^2np^6).
– d-block ((n-1)d^{1-10}ns^{0-2}): transition metals, variable \text{OS}, coloured ions, catalysts, paramagnetic. Zn, Cd, Hg (d^{10}) behave atypically.
– f-block ((n-2)f^{1-14}(n-1)d^{0-1}ns^2): inner-transition; 4f = lanthanoids, 5f = actinoids (radioactive, many +3–+6 states).
• Periods grow as orbitals become available: 2, 8, 8, 18, 18, 32, (32 incomplete).
• Temporary name = numerical roots + “ium”. Example Z=120 ➝ roots un-bi-nil + ium ⇒ Unbinilium, Ubn.
• Official names (after confirmation) e.g. Z=106 Seaborgium (Sg).
• Across period: radius ↓ (greater Z_{eff}, same n).
• Down group: radius ↑ (higher n, shielding > ↑Z).
• Cation #### 2. Ionisation Enthalpy (\Delta_iH)
• Energy to remove e⁻: always >0.
• Trends: ↑ across period, ↓ down group.
• Successive \DeltaiH: \DeltaiH_1 #### 3. Electron Gain Enthalpy (\Delta_{eg}H) & Affinity
• Process: \text{X}(g)+e^-\rightarrow \text{X}^-(g).
• Negative \Delta_{eg}H ⇒ exothermic (favourable).
• More negative across a period; less negative down a group.
• Exceptions: O, F less negative than S, Cl (e⁻–e⁻ repulsion in small 2p).
• Sample data (kJ mol^{-1}):
– Group 17: \text{F}= -328, \text{Cl}= -349, \text{Br}= -325, \text{I}= -295.
– Group 18 (positive): \text{Ne}= +116.
• Qualitative pull on shared e⁻.
• Increases left→right; decreases down group.
• Inverse to metallic character.
– Period 2 values: Li 1.0 → F 4.0.
– Group 1 values: Li 1.0 ↓ Cs 0.7.
• Metallic ↑ down group, ↓ across period.
• Borderline (zig-zag) ⇒ metalloids: Si, Ge, As, Sb, Te.
• Representative elements: valence = no. of outer e⁻ or 8-n{outer}. – Group pattern: 1, 2, 3, 4, 3/5, 2/6, 1/7, 0. • Oxidation state depends on electronegativity context. – Examples: \text{O} is +2 in \text{OF}2 but -2 in \text{Na}_2\text{O}$.
• Extremes of a period most reactive:
– Left (alkali): low \DeltaiH ⇒ easy e⁻ loss (strong reducers). – Right (halogens): high \text{-}\Delta{eg}H ⇒ easy e⁻ gain (strong oxidisers).
• Centre of period ⇒ minimum reactivity; amphoteric behaviour.
• Across period: basic → amphoteric/neutral → acidic.
– Examples period 3: \text{Na}2\text{O} (basic), \text{Al}2\text{O}3 (amphoteric), \text{SiO}2 (weak acid), \text{Cl}2\text{O}7 (strong acid).
• Demonstration (Problem 3.10):
– \text{Na}2\text{O}+\text{H}2\text{O}\rightarrow 2\text{NaOH} (blue litmus)
– \text{Cl}2\text{O}7+\text{H}2\text{O}\rightarrow 2\text{HClO}4$$ (red litmus)
• Mirrors metallic/non-metallic trend.
• Group trends: alkali metal reducing power ↑ down the group; halogen oxidising power