The Rydberg formula is an ingenious mathematical revolution in atomic physics, which allows you to describe different wavelengths of the spectral lines of different chemical elements. As he was trying to arrive at his formula, he found the Balmer’s formula, which Balmer created for hydrogen atoms.

By examining all the different lines in the spectrum of hydrogen atoms, he devised an empirical model, which could explain and predict the pattern of emission. The formula was 6.165x10^14 s^-1. It is amazing how one set of information can be used to build upon. The original Balmer’s formula was discovered in 885. The Rydberg formula came into existence, 3 years later and is a generalization of this formula.