It is easy to see from ( 2.14 ), ( 2.15 ), and ( 2.16 ) that \begin{equation} \label{Eq:III:2:17} \omega_{30}=\omega_{31}+\omega_{10}. \end{equation} In general, if we find two spectral lines, we shall expect to find another line at the sum of the frequencies (or the difference in the frequencies), and that all the lines can be understood by finding a series of levels such that every line corresponds to the difference in energy of some pair of levels.

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