Quick Recap — Uncertainty, Nodes & Magnetism

  • Heisenberg: ΔxΔph4π\Delta x\,\Delta p\ge\dfrac{h}{4\pi}; the photoelectric KEmaxKE_{max} depends on frequency, while intensity sets the number of electrons.
  • n+ln+l rule orders orbital energies; shielding/penetration order s>p>d>fs>p>d>f.
  • Magnetic moment: μ=n(n+2)\mu=\sqrt{n(n+2)} BM (nn = unpaired electrons); diamagnetic = 0 unpaired, paramagnetic = has unpaired.
  • Nodes: radial =nl1=n-l-1, angular =l=l.