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Concept 03 / 05Classification of Elements and Periodicity

Valence, Oxidation States, Metallic Character, Anomalous Second-Period Elements and Diagonal Relationship

Valence and its periodicity, common oxidation states across groups, the variation of metallic and non-metallic character and reactivity, why second-period elements behave anomalously (small size, no d orbitals), and the diagonal relationships Li-Mg, Be-Al and B-Si.

Valence is the combining capacity of an element, commonly the number of valence electrons (for groups 11 to 22 and 1313 to 1414) or 88 minus that number (for groups 1515 to 1717 when forming hydrides and anions). It is periodic. In period 33 the valence towards hydrogen goes 1,2,3,4,3,2,11, 2, 3, 4, 3, 2, 1 (NaH, MgH2\mathrm{MgH_{2}}, AlH3\mathrm{AlH_{3}}, SiH4\mathrm{SiH_{4}}, PH3\mathrm{PH_{3}}, H2S\mathrm{H_{2}S}, HCl), while the maximum valence towards oxygen rises to 77 (Cl2O7\mathrm{Cl_{2}O_{7}}). The maximum oxidation state of a main-group element usually equals its group number (for 1313 to 1717: group number minus 1010). Heavier p-block elements show the inert pair effect: the ns2ns^{2} electrons become reluctant to participate, so oxidation states two lower than the group maximum become more stable down the group. Tl(I) is more stable than Tl(III), and Pb(II) more stable than Pb(IV), which makes PbO2\mathrm{PbO_{2}} a strong oxidising agent. Metallic character (tendency to lose electrons) decreases across a period and increases down a group, following ionisation enthalpy. Non-metallic character does the reverse. The boundary between metals and non-metals runs diagonally across the p-block, with metalloids (B, Si, Ge, As, Sb, Te) along it. Reactivity is highest at the two extremes of each period: the alkali metals (strongest reducing agents) and the halogens (strongest oxidising agents). Anomalous behaviour of second-period elements. The first element of each group (Li, Be, B, C, N, O, F) differs markedly from the rest of its group because of very small size and high charge density, high electronegativity, absence of d orbitals in the valence shell, so the maximum covalency is 44 (using 2s2s and 2p2p only), and the ability to form strong pπp\pi-pπp\pi multiple bonds (C=C, C=O, N≡N, O=O). Examples: nitrogen exists as N2\mathrm{N_{2}} with a triple bond while phosphorus is P4\mathrm{P_{4}}; nitrogen forms no NCl5\mathrm{NCl_{5}} although PCl5\mathrm{PCl_{5}} exists; boron forms only [BF4]−[\mathrm{BF_{4}}]^{-} while aluminium forms [AlF6]3−[\mathrm{AlF_{6}}]^{3-}; oxygen forms hydrogen-bonded water, a liquid, while H2S\mathrm{H_{2}S} is a gas. Diagonal relationship. Some second-period elements resemble the third-period element of the next group (diagonally below and to the right): Li with Mg, Be with Al, B with Si. Moving right increases charge and decreases size; moving down increases size. The two effects roughly cancel, giving similar charge-to-size ratios (ionic potential) and electronegativity. Li and Mg: both form nitrides (Li3N\mathrm{Li_{3}N}, Mg3N2\mathrm{Mg_{3}N_{2}}) by direct combination; carbonates and nitrates decompose on heating to oxides; their chlorides are deliquescent and hydrated; both form normal oxides rather than peroxides. Be and Al: both oxides and hydroxides are amphoteric; both are rendered passive by nitric acid; their chlorides are covalent, Lewis acidic and form bridged dimers. B and Si: both are metalloids, form covalent hydrides and acidic oxides, and form borates and silicates. Key Takeaways: - Maximum oxidation state usually equals the group number (minus 1010 for the p-block). - Inert pair effect: lower oxidation states stable for heavy p-block elements (Tl(I), Pb(II), Bi(III)). - Metallic character: decreases across, increases down. - Second-period anomalies: small size, no d orbitals (covalency ≤ 4), strong pπp\pi-pπp\pi bonds. - Diagonal pairs Li-Mg, Be-Al, B-Si from similar charge-to-size ratios. - Pitfall: expecting nitrogen to form NCl5\mathrm{NCl_{5}} by analogy with PCl5\mathrm{PCl_{5}}. Brain-Teaser 1: Why does lithium form Li3N\mathrm{Li_{3}N} on burning in air while sodium does not form a nitride? Solution: The small, highly polarising Li+\mathrm{Li^{+}} ion gives Li3N\mathrm{Li_{3}N} a very high lattice energy, enough to compensate for breaking the N2\mathrm{N_{2}} triple bond and forming N3−\mathrm{N^{3-}}. The larger Na+\mathrm{Na^{+}} gives much smaller lattice energy, so the nitride is not stable. Magnesium, diagonally related to lithium, also burns to a nitride, which is the diagonal relationship at work. Brain-Teaser 2: Explain why PbCl4\mathrm{PbCl_{4}} is unstable and decomposes to PbCl2\mathrm{PbCl_{2}}, while CCl4\mathrm{CCl_{4}} and SiCl4\mathrm{SiCl_{4}} are stable. Solution: Down group 1414 the inert pair effect grows: the 6s26s^{2} pair of lead is held tightly (poor shielding by 4f4f and 5d5d electrons increases its effective nuclear charge, and relativistic effects contract it), so using all four electrons becomes energetically unfavourable. Pb(II) is more stable than Pb(IV), and PbCl4→PbCl2+Cl2\mathrm{PbCl_{4}} \rightarrow \mathrm{PbCl_{2}} + \mathrm{Cl_{2}}. For C and Si the +4+4 state is the stable one. Brain-Teaser 3: Beryllium hydroxide dissolves in both HCl and NaOH. Write the reactions and name the property. Which other element behaves similarly? Solution: Be(OH)2+2HCl→BeCl2+2H2O\mathrm{Be(OH)_{2}} + 2\mathrm{HCl} \rightarrow \mathrm{BeCl_{2}} + 2\mathrm{H_{2}O} and Be(OH)2+2NaOH→Na2[Be(OH)4]\mathrm{Be(OH)_{2}} + 2\mathrm{NaOH} \rightarrow \mathrm{Na_{2}[Be(OH)_{4}]}. It is amphoteric. Aluminium hydroxide behaves the same way (forming [Al(OH)4]−[\mathrm{Al(OH)_{4}}]^{-} in base), reflecting the Be-Al diagonal relationship. Other group 22 hydroxides are purely basic.