stem/Quantum/Orbitals.md

\psi(r,\theta,\phi)=R(r)\cdot Y_{ml}(\theta, \phi)

Wave functions are products of Radial Function

• $R_{n,l}(r)$ Spherical Harmonic
• Y_{ml}(\theta, \phi)

Absolute value of wave function squared gives probability density of finding electron inside differential volume dV centred on r, \theta, \phi

|\psi(r,\theta,\phi)|^2

Quantum Numbers

n

Principal quantum number

• 1, 2, 3...
• Electron shell, electron energy and size of orbital

l

Orbital Angualar Momentum Number

• 0-(n-1)
• Shape of the orbital
  • 0 = s
  • 1 = p
  • 2 = d

m

Z-component / Magentic of l

• -l to +l
• Orientation of orbital