Quick Recap — Configurations & Rules

  • Energy order (n+ln+l rule): lower (n+l)(n+l) fills first; for a tie, the lower nn fills first — so 4s4s before 3d3d.
  • Half-filled/fully-filled stability gives the exceptions Cr =[Ar]3d54s1=[Ar]3d^5 4s^1 and Cu =[Ar]3d104s1=[Ar]3d^{10}4s^1.
  • Nodes: radial =nl1=n-l-1, angular =l=l, total =n1=n-1.
  • Photon: E=hν=hcλE=h\nu=\dfrac{hc}{\lambda}; Heisenberg: ΔxΔph4π\Delta x\,\Delta p\ge\dfrac{h}{4\pi}.