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Concept 02 / 09The p-Block Elements

Group 13 Elements: Trends, Inert Pair Effect and Anomalous Boron

Electronic configuration and general trends of boron, aluminium, gallium, indium and thallium: atomic radii (Ga smaller than Al), ionisation enthalpy, electronegativity, melting points, the inert pair effect and stability of the +1 state, Lewis acidity of trihalides and back bonding, and reactions with air, acids and alkalis.

Figure 1
Group 13: boron (a non-metal), aluminium, gallium, indium and thallium (metals). Configuration ns2np1ns^{2}np^{1}. Atomic radius (see figure). Increases down the group, but gallium (135 pm135\,\mathrm{pm}) is smaller than aluminium (143 pm143\,\mathrm{pm}). Gallium follows the first transition series; its ten 3d3d electrons shield the nucleus poorly, so the effective nuclear charge felt by the outer electrons is larger. Ionisation enthalpy. Decreases from B to Al as expected, but not smoothly afterwards: Ga is about equal to Al, and Tl is higher than In, because poorly shielding dd and ff electrons (lanthanoid contraction for Tl) increase the effective nuclear charge. The sum of the first three ionisation enthalpies is very high for B, which is why boron forms covalent compounds and no B3+\mathrm{B^{3+}} ion. Physical properties. Boron is an extremely hard, black, high-melting non-metal (2453 K2453\,\mathrm{K}). Gallium has an unusually low melting point (303 K303\,\mathrm{K}) and a very high boiling point (2676 K2676\,\mathrm{K}), so it is liquid over a huge range and is used in high-temperature thermometers. Oxidation states and inert pair effect. Boron and aluminium show +3+3 only. Down the group, the ns2ns^{2} pair becomes increasingly reluctant to take part in bonding (inert pair effect), because the 6s6s electrons of Tl penetrate close to the nucleus and are poorly screened by 4f4f and 5d5d electrons. So the +1+1 state becomes more stable: Ga+<In+<Tl+\mathrm{Ga^{+}} < \mathrm{In^{+}} < \mathrm{Tl^{+}} in stability. For thallium, +1+1 is the more stable state and Tl3+\mathrm{Tl^{3+}} is a strong oxidising agent. Trihalides and Lewis acidity. With only six electrons around the central atom, MX3\mathrm{MX_{3}} molecules are electron-deficient Lewis acids: BF3+:NH3→F3B←NH3\mathrm{BF_{3} + :NH_{3} \rightarrow F_{3}B \leftarrow NH_{3}}. Lewis acidity of boron halides is BF3<BCl3<BBr3<BI3\mathrm{BF_{3} < BCl_{3} < BBr_{3} < BI_{3}}, the reverse of what electronegativity suggests, because of pπp\pi-pπp\pi back bonding: the filled 2p2p orbital of F overlaps effectively with the empty 2p2p of B and partly fills it; the larger 3p3p, 4p4p and 5p5p orbitals of Cl, Br and I overlap poorly. Aluminium chloride completes its octet by dimerising to Al2Cl6\mathrm{Al_{2}Cl_{6}} with chlorine bridges. Chemical reactions. Air: boron is unreactive in crystalline form; aluminium forms a protective oxide film. On heating, both form M2O3\mathrm{M_{2}O_{3}} and nitrides (BN, AlN). Oxide character: B2O3\mathrm{B_{2}O_{3}} acidic, Al2O3\mathrm{Al_{2}O_{3}} and Ga2O3\mathrm{Ga_{2}O_{3}} amphoteric, In2O3\mathrm{In_{2}O_{3}} and Tl2O3\mathrm{Tl_{2}O_{3}} basic. Acids and alkalis: boron does not react with non-oxidising acids. Aluminium dissolves in dilute HCl (2Al+6HCl→2AlCl3+3H2\mathrm{2Al + 6HCl \rightarrow 2AlCl_{3} + 3H_{2}}) and in alkali (2Al+2NaOH+6H2O→2Na+[Al(OH)4]−+3H2\mathrm{2Al + 2NaOH + 6H_{2}O \rightarrow 2Na^{+}[Al(OH)_{4}]^{-} + 3H_{2}}); concentrated HNO3\mathrm{HNO_{3}} renders it passive. Key Takeaways: - Radius: B < Ga < Al < In < Tl (Ga smaller than Al). - Inert pair effect: stability of +1+1 increases down; Tl+\mathrm{Tl^{+}} is more stable than Tl3+\mathrm{Tl^{3+}}. - Lewis acidity: BF3<BCl3<BBr3\mathrm{BF_{3} < BCl_{3} < BBr_{3}} because of back bonding. - B2O3\mathrm{B_{2}O_{3}} acidic; Al2O3\mathrm{Al_{2}O_{3}} amphoteric; Tl2O3\mathrm{Tl_{2}O_{3}} basic. - Pitfall: the Lewis acidity order of boron halides is opposite to the electronegativity of the halogens. Brain-Teaser 1: TlCl3\mathrm{TlCl_{3}} is a stronger oxidising agent than AlCl3\mathrm{AlCl_{3}}. Explain. Solution: Because of the inert pair effect, thallium prefers +1+1: Tl3+\mathrm{Tl^{3+}} readily accepts two electrons to become Tl+\mathrm{Tl^{+}}. Aluminium is stable only in +3+3 and has no lower state to go to, so AlCl3\mathrm{AlCl_{3}} is not an oxidant. Brain-Teaser 2: Why does BCl3\mathrm{BCl_{3}} exist as a monomer while AlCl3\mathrm{AlCl_{3}} dimerises? Solution: Boron is small, and four large Cl atoms cannot fit around it easily; partial back bonding also reduces its electron deficiency. Aluminium is larger, can accommodate four chlorines, and completes its octet through two Cl bridges in Al2Cl6\mathrm{Al_{2}Cl_{6}}. Brain-Teaser 3: Why is gallium used in thermometers for measuring high temperatures? Solution: Gallium melts at 303 K303\,\mathrm{K} (just above room temperature) but boils only at 2676 K2676\,\mathrm{K}, so it stays liquid over an enormous range. The low melting point comes from its unusual structure of Ga2\mathrm{Ga_{2}} units in the solid.