Free Bohr Model Energy Calculator
Calculate the energy of an electron in a hydrogen-like atom at quantum level n: E_n = -13.6 * Z^2 / n^2 eV.
Energy Level
-13.600000 eV
Energy (J)-0.0000000000000000021787 J
Orbital Radius0.00000000005292 m
Energy Level vs Atomic Number (Z)
Bohr Model Energy Levels
The Bohr model gives the energy of an electron in a hydrogen-like (one-electron) atom.
Formula
E_n = -13.6 Z^2 / n^2 eV
The Bohr radius scales as a0 * n^2 / Z, where a0 = 5.292 x 10^-11 m.
Negative energy means the electron is bound.
Example Calculation
Ground state of hydrogen (Z = 1, n = 1).
- 01E_1 = -13.6 * 1^2 / 1^2
- 02E_1 = -13.6 eV
- 03r_1 = 5.292e-11 * 1 / 1 = 5.292e-11 m (0.529 angstroms)
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