Bohr Model Calculator (Hydrogen-Like Atoms)

Orbit radius, energy and speed of an electron in a hydrogen-like ion, plus the photon wavelength of a transition.

Results

Orbit radius rₙ—
Energy Eₙ—
Electron speed—
Photon energy of n → n′—
Photon wavelength—
Spectral series—

How to use the Bohr Model Calculator

  1. Enter or select: Atomic number Z, Initial level n, Final level n′.
  2. The results (Orbit radius rₙ, Energy Eₙ, Electron speed, Photon energy of n → n′, Photon wavelength, Spectral series) are calculated instantly as you type.
  3. Use “Copy link” to share the calculation with the same input values.

Formula

  • rₙ = n²a₀/Z
  • Eₙ = −13.6057 eV · Z²/n²
  • 1/λ = R∞Z²(1/n′² − 1/n²)
ExpressionApply operationsCalculated result