The Hydrogen Atomic Orbitals

The Hydrogen Atomic Orbitals: 4f_z³ orbital

Ψ_4,3,0 = (1 / 3072√(5π)) (Z/a)^9/2 r³ e^{^-Zr/4a} (5cos³θ - 3cosθ)

Radial Distribution Plot ( r² R_nl² vs. r)	Probability Distribution	Atomic Orbital
Note: there is now an angular dependence for the wavefunction so the orbital will no longer be spherical. θ is the angle to the Z-axis and φ from the X-axis. r is in atomic units (a) Z = nuclear charge (1), a = bohr radius (0.5292 Å)	The axes are 100 atomic units (a) long.