Transition and Inner Transition Elements - Formula Sheet

Magnetic Properties

• Spin-only Magnetic Moment: \(\mu = \sqrt{n(n+2)}\) BM
  • \(\mu\): Magnetic moment in Bohr Magnetons (BM)
  • \(n\): Number of unpaired electrons

Electronic Configurations

• General d-block: \([Inert Gas] (n-1)d^{1-10} ns^{1-2}\)
• General f-block: \([Inert Gas] (n-2)f^{1-14} (n-1)d^{0-1} ns^2\)

Atomic Radii Trends

• Lanthanoid Contraction: \(r_{Ln} \propto \frac{1}{Z}\), where \(r_{Ln}\) is the ionic radius and \(Z\) is the atomic number.