QUANTUM NUMBERS & ORBITALS

An orbital is not an orbit, and the electron does not run along any drawn path. The cloud here is thousands of dots, each one a place the electron could have been caught, and it is densest where |ψ|² is largest. The shape follows the quantum number l: s is a sphere, p a two-lobed dumbbell, d a four-lobed cloverleaf, while 2s hides a hollow nodal shell inside. Each subshell holds 2l+1 orbitals and each orbital at most 2 electrons, and the energy ordering is why 4s fills before 3d.

▸ Building the |ψ|² electron probability cloud (3D)…
▸ Orbital shapes: s (sphere) · p (dumbbell) · d (cloverleaf) · f
▸ Loading the four quantum numbers n, l, mₗ, mₛ + the Pauli principle
▸ Aufbau filling order 1s 2s 2p 3s 3p 4s 3d… + Hund’s rule
▸ Ready — drag to rotate. ✅
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⌂ Particles & Quantum

Simulation room Quantum Numbers & Orbitals

Atomic Orbitals
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s · p · d · f · 3D
Now showing
⚪ Orbital 1s
Subshell—
Principal quantum number n—
Shape l—
Orbitals (2l+1)—
Max electrons—
Nodes—
Probability cloud
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Drag to rotate, scroll to zoom · switch Scenario on the right to view s/p/d/f orbitals · each dot = a place the electron could be found
|ψ|² density vs. radius (illustrative) |ψ|²
About Atomic Orbitals

An orbital is not an orbit, and the electron does not run along any drawn path. The cloud here is thousands of dots, each one a place the electron could have been caught, and it is densest where |ψ|² is largest. The shape follows the quantum number l: s is a sphere, p a two-lobed dumbbell, d a four-lobed cloverleaf, while 2s hides a hollow nodal shell inside. Each subshell holds 2l+1 orbitals and each orbital at most 2 electrons, and the energy ordering is why 4s fills before 3d.

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