Hard Practice — Chained d-/f-Block Reasoning

Chain: ion \to d-count \to unpaired electrons \to μ\mu; redox electron-count in permanganate/dichromate; colour from d-d transitions; lanthanoid contraction consequences.

  • μ=n(n+2)\mu=\sqrt{n(n+2)} BM; MnO4MnO_4^- gains 5 e (acidic), Cr2O72Cr_2O_7^{2-} gains 6 e.
  • d0d^0/d10d^{10} ions are colourless; high enthalpy of atomisation comes from unpaired d-electrons.