PX262 - A3 - line spectra

in the light emitted from gases, like hydrogen, the spectra are found to not be continuous, but consisting of specific wavelengths
frequencies for $H$ atoms: $ω_{m n} = 2 π R_{o} c (\frac{1}{n^{2}} - \frac{1}{m^{2}})$
- where, $R_{o}$ is the rydberg constant, $n, m \in Z$
energy emitted from an atom is quantized if emitted by change of electron energy
electrons must have only specific discrete energies
atom's energies will follow: $E_{n} = - \frac{2 π R_{o} ℏ c}{n^{2}}$ where, $n \in Z$