The Rydberg formula, discovered by Johannes Rydberg in 1888, estimates the wavelengths of hydrogen's spectral lines, extending the Balmer formula to all series in the hydrogen spectrum. Its practical significance increased in 1913 when Neil Bohr provided groundbreaking insights into the electronic structure of the hydrogen atom. Additionally, the formula can calculate the wavenumbers of spectral lines for single-electron hydrogen-like atoms.

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Rydberg formula
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The Rydberg formula helps to determine the
wavenumber or wavelengths of hydrogen spectral lines
obtained in the hydrogen spectrum.
In 1888, Johannes Rydberg discovered an empirical formula
to estimate the wavelengths of known and unknown
spectral lines of the hydrogen atomic spectrum.
The Rydberg formula served as a generalization to the
Balmer formula. It restored the Balmer formula to extend it
to all spectral line series of the hydrogen spectrum.
But, it did not get much practical significance until 1913.
When Neil Bohr explained the groundbreaking facts about
the electronic arrangement of the hydrogen atom, the
Rydberg formula came into the limelight.
Rydberg formula also calculates the wavenumber of
spectral lines obtained in the spectra of single electron
hydrogen-like atoms.