Math Playground
Physics

Atom — orbitals

s, p, d, f — fuzzy probability clouds, not little planets.

Orbitals are probability clouds — fuzzy regions where you're likely to find an electron.

Quick check

What does an electron orbital actually represent?

The shapes

  • s — a single sphere around the nucleus.
  • p — a dumbbell, in three perpendicular orientations.
  • d — five orbitals, mostly four-lobed cloverleaf shapes.
  • f — seven orbitals, even more intricate.

Each orbital holds at most two electrons, and they must have opposite spin (the Pauli exclusion principle). That two-per-room rule is what builds the periodic table's structure.

Why fuzzy?

Pin down an electron's position and its momentum becomes wildly uncertain (Heisenberg). So the best description isn't a dot or a line — it's a wavefunction whose squared size is the probability cloud we draw as an orbital.

Four types

  • s — spherical
  • p — dumbbell-shaped
  • d — four lobes
  • f — even more complex