Bohr Model Calculator

Your details

Number of protons in the nucleus. Z=1 is hydrogen, Z=2 is He+, Z=3 is Li2+. The Bohr model applies to one-electron (hydrogen-like) atoms only.
The higher principal quantum number - the level the electron starts in before a downward transition, or the level you want to analyse.
The lower principal quantum number - the level the electron falls into. Must be less than n1. Set equal to n1 to suppress transition output.
Photon energy
-1.88968eV

Energy of the emitted (or absorbed) photon for the n1 to n2 transition

Orbital radius (n₁)476.259pm
Electron speed (n₁)0.7292Mm/s
Energy at n₁-1.51174eV
Angular momentum (n₁)3.1637x10⁻³⁴ J·s
Orbital period (n₁)4,103.5406as
Wavelength-656.1123nm
Frequency-456.9225THz
Spectral seriesBalmer (visible/UV)
Region of spectrumExtreme UV
-656.1123 nm
Ultraviolet<380Violet380-450Blue-Green450-570Yellow-Orange570-620Red620-750Infrared750+

n=3 to n=2 transition for hydrogen (H): -656.1 nm photon

  • The Bohr orbit radius at n=3 for hydrogen (H) is 476.3 pm, which is 9.00 times the hydrogen ground-state Bohr radius (52.9 pm).
  • The binding energy is 1.512 eV. Scaling goes as Z²/n², so ionisation energy falls quickly for higher levels.
  • The transition emits a photon of -656.1 nm (Extreme UV) with energy -1.890 eV. This is the Balmer (visible/UV) series.
  • The Bohr model gives exact results only for one-electron atoms and ions. For multi-electron atoms, quantum-mechanical calculations are needed.

Next stepTry changing Z from 1 (hydrogen) to 2 (He+) to see how all quantities scale with the square of the nuclear charge.

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