The Rydberg Formula is a mathematical equation used to predict the wavelengths of spectral lines in hydrogen and other hydrogen-like atoms. It was developed by the physicist Johann Balmer and later generalized by Johannes Rydberg. The formula shows how the energy levels of electrons in an atom transition between states, resulting in the emission or absorption of light. The formula is expressed as \frac1\lambda = R_H \left( \frac1n_1^2 - \frac1n_2^2 \right) , where \lambda is the wavelength, R_H is the Rydberg constant, and n_1 and n_2 are integers representing the energy levels. This equation helps scientists understand atomic structure and the behavior of light.