Hydrogen Atom Calculator
Calculate quantum properties and energy levels of the hydrogen atom
0 ≤ l ≤ n-1
-l ≤ mₗ ≤ l
Quantum Numbers & Orbital
Orbital
1s
Valid n
1
Valid l
0
Valid mₗ
0
Energy
Energy Level
-13.6000 eV
-2.1790e-18 J
Ionization Energy
13.6000 eV
Degeneracy
1
Angular Momentum
Orbital Angular Momentum |L|
0.0000e+0 J·s
Z-Component Lz
0.0000e+0 J·s
Bohr Model Properties
Bohr Radius
5.2918e-11 m
Electron Velocity
2.1877e+6 m/s
Orbital Period
1.5198e-16 s
About the Hydrogen Atom
The hydrogen atom is the simplest atomic system with exact quantum mechanical solutions. Energy levels are given by E_n = -13.6/n² eV. The quantum numbers n, l, and mₗ define the electron's state, with l determining orbital shape (s, p, d, f...) and mₗ determining spatial orientation.