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🌈 Rydberg Equation Calculator

Calculate the wavelength of light emitted or absorbed when a hydrogen atom’s electron transitions between two energy levels, using the Rydberg equation.

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What the Rydberg equation calculates

The Rydberg equation predicts the wavelength of light emitted or absorbed when an electron in a hydrogen atom transitions between two energy levels, explaining the discrete spectral lines observed in hydrogen’s emission and absorption spectra.

The formula

1/λ = R(1/n1² − 1/n2²), where R is the Rydberg constant (approximately 1.09677583 × 10⁵ m⁻¹), n1 and n2 are the two energy levels involved (n2 > n1 for emission, when an electron falls to a lower level; the reverse for absorption).

This is the standard Rydberg formula for the hydrogen atom, used for general physics and chemistry education.

Last reviewed August 2026