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Concept 05 / 06The d and f Block Elements

Lanthanoids: Electronic Configuration, Oxidation States and the Lanthanoid Contraction

The inner transition elements, electronic configurations of lanthanoids, the common +3 oxidation state and exceptional +2 and +4 states (Eu, Yb, Ce, Tb), the lanthanoid contraction and its causes and consequences, general physical and chemical properties, and uses including mischmetall.

Figure 1
The f-block elements (inner transition elements) fill the 4f4f (lanthanoids, Ce to Lu, after La) or 5f5f (actinoids, Th to Lr, after Ac) orbitals. Lanthanum is usually included with the lanthanoids for comparison. Electronic configuration. [Xe]4f1−145d0−16s2[\mathrm{Xe}]4f^{1-14}5d^{0-1}6s^{2}. The 4f4f and 5d5d levels are close in energy: La 5d16s25d^{1}6s^{2}, Ce 4f15d16s24f^{1}5d^{1}6s^{2}, Pr 4f36s24f^{3}6s^{2}, and so on; Gd 4f75d16s24f^{7}5d^{1}6s^{2} (half-filled f) and Lu 4f145d16s24f^{14}5d^{1}6s^{2} keep one 5d electron. The Ln3+\mathrm{Ln^{3+}} ions are 4fn4f^{n} (n=0n = 0 for La3+\mathrm{La^{3+}} to 1414 for Lu3+\mathrm{Lu^{3+}}). Oxidation states. +3+3 is the characteristic and most stable state for all. Some show +2+2 or +4+4 where this gives an empty, half-filled or filled f subshell: Ce4+\mathrm{Ce^{4+}} (4f04f^{0}): a strong oxidant (E∘(Ce4+/Ce3+)=+1.74 VE^{\circ}(\mathrm{Ce^{4+}/Ce^{3+}}) = +1.74\,\mathrm{V}), used in analysis, though kinetically slow to react with water. Tb4+\mathrm{Tb^{4+}} (4f74f^{7}): an oxidant. Eu2+\mathrm{Eu^{2+}} (4f74f^{7}) and Yb2+\mathrm{Yb^{2+}} (4f144f^{14}): strong reductants, readily oxidised to +3+3. Sm2+\mathrm{Sm^{2+}} (4f64f^{6}) also exists, as a reductant. Lanthanoid contraction (see figure). A steady decrease in atomic and ionic radii from La to Lu. Each added electron enters the 4f4f subshell, which shields the outer electrons poorly (f orbitals are diffuse), so the effective nuclear charge increases and the whole electron cloud contracts. The total contraction over the series (La3+\mathrm{La^{3+}} 103 pm103\,\mathrm{pm} to Lu3+\mathrm{Lu^{3+}} 86 pm86\,\mathrm{pm}) is significant. Consequences: the 4d and 5d transition elements of the same group have nearly equal radii (Zr and Hf, Nb and Ta, Mo and W), so they have very similar properties and occur together; the lanthanoids themselves are very similar and hard to separate (ion exchange and solvent extraction methods exploit tiny differences); basicity of the hydroxides decreases from La(OH)3\mathrm{La(OH)_{3}} to Lu(OH)3\mathrm{Lu(OH)_{3}}, as the smaller ions polarise more (covalent character increases); the 5d elements have high densities and ionisation enthalpies. Properties. Silvery-white, soft metals that tarnish in air; hardness increases with atomic number (Sm is steel-hard); high melting points (10001000 to 1200 K1200\,\mathrm{K}, Sm 1623 K1623\,\mathrm{K}); good conductors. Many Ln3+\mathrm{Ln^{3+}} ions are coloured (f-f transitions), except f0f^{0} (La3+\mathrm{La^{3+}}, Ce4+\mathrm{Ce^{4+}}) and f14f^{14} (Yb2+\mathrm{Yb^{2+}}, Lu3+\mathrm{Lu^{3+}}); many are paramagnetic. Chemistry: early members are nearly as reactive as calcium. They burn in halogens to give LnX3\mathrm{LnX_{3}}; with oxygen, Ln2O3\mathrm{Ln_{2}O_{3}}; with sulfur, Ln2S3\mathrm{Ln_{2}S_{3}}; with nitrogen on heating, LnN; with carbon at 2773 K2773\,\mathrm{K}, carbides (Ln3C\mathrm{Ln_{3}C}, Ln2C3\mathrm{Ln_{2}C_{3}}, LnC2\mathrm{LnC_{2}}); with water, Ln(OH)3\mathrm{Ln(OH)_{3}} and H2\mathrm{H_{2}}; with dilute acids, H2\mathrm{H_{2}}. The oxides and hydroxides are basic, like those of alkaline earth metals. Uses: mischmetall (about 95%95\% lanthanoid metals, 5%5\% iron and traces of S, C, Ca, Al) in magnesium-based alloys for bullets, shells and lighter flints; mixed lanthanoid oxides as petroleum-cracking catalysts; phosphors in television screens and fluorescent lamps; alloy steels. Key Takeaways: - [Xe]4f1−145d0−16s2[\mathrm{Xe}]4f^{1-14}5d^{0-1}6s^{2}; common state +3+3. - Ce4+\mathrm{Ce^{4+}} and Tb4+\mathrm{Tb^{4+}} oxidants; Eu2+\mathrm{Eu^{2+}}, Yb2+\mathrm{Yb^{2+}} reductants (empty, half-filled or filled 4f). - Lanthanoid contraction: poor shielding by 4f; Zr ≈ Hf; basicity of Ln(OH)3\mathrm{Ln(OH)_{3}} decreases. - Mischmetall: lanthanoids + Fe, for flints and alloys. - Pitfall: the contraction per element is small; it is the cumulative effect across 1414 elements that matters. Brain-Teaser 1: Why is Ce4+\mathrm{Ce^{4+}} a good oxidising agent and Eu2+\mathrm{Eu^{2+}} a good reducing agent in aqueous solution? Solution: Both tend towards the common +3+3 state. Ce4+\mathrm{Ce^{4+}} (4f04f^{0}, noble gas core) accepts an electron to become Ce3+\mathrm{Ce^{3+}} (E∘=+1.74 VE^{\circ} = +1.74\,\mathrm{V}). Eu2+\mathrm{Eu^{2+}} (4f74f^{7}) loses an electron to become Eu3+\mathrm{Eu^{3+}}; although 4f74f^{7} is half-filled, the greater stability of the +3+3 state in water (high hydration enthalpy of Eu3+\mathrm{Eu^{3+}}) makes Eu2+\mathrm{Eu^{2+}} a reductant. Brain-Teaser 2: Arrange La(OH)3\mathrm{La(OH)_{3}}, Gd(OH)3\mathrm{Gd(OH)_{3}} and Lu(OH)3\mathrm{Lu(OH)_{3}} in order of basic strength and explain. Solution: La(OH)3>Gd(OH)3>Lu(OH)3\mathrm{La(OH)_{3} > Gd(OH)_{3} > Lu(OH)_{3}}. Because of the lanthanoid contraction, Ln3+\mathrm{Ln^{3+}} size decreases, so the polarising power of the cation increases and the M-OH bond becomes more covalent, making it harder to release OH−\mathrm{OH^{-}}. Brain-Teaser 3: Calculate the spin-only magnetic moment of Gd3+\mathrm{Gd^{3+}} and state whether Lu3+\mathrm{Lu^{3+}} is coloured. Solution: Gd3+\mathrm{Gd^{3+}} is 4f74f^{7} with 77 unpaired electrons: μ=7×9=7.94\mu = \sqrt{7 \times 9} = 7.94 BM. Lu3+\mathrm{Lu^{3+}} is 4f144f^{14} (all paired, no f-f transitions): colourless and diamagnetic.