Quantum Hydrogen Orbital 3D Probability Engine

n=3, ℓ=2, m=1

Quantum State Selectors

Principal Quantum Number (n) 3

Azimuthal / Angular (ℓ) 2

Magnetic Number (m) 1

Canonical Orbital Presets

Cross-Section & Phase Filters

Slicing Plane Axis:

Density Threshold Filter 0.35

Nodal Geometry Analysis

Radial Nodes

Angular Nodes

Total Nodes

Radial Density $P(r) = r^2 |R_{n\ell}(r)|^2$

Max Prob Radius: 9 $a_0$

Quantum Insight: Unlike classical planetary trajectories, atomic orbitals represent stationary spatial 3D probability clouds where $| \psi |^2$ defines the probability density of locating an electron.

State: 3d (n=3, l=2, m=1) | Nodes: R=0, A=2 | Max R: 9a0