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Application of the Correspondence Principle to Relative Intensities in Series Spectra
Phys. Rev. 26, 749 – Published 1 December, 1925
DOI: https://doi.org/10.1103/PhysRev.26.749
Abstract
A brief discussion is given of the representation of intensities in emission and absorption in terms of the probabilities of transition and of the estimation of the probability of spontaneous transition in the usual way based on the correspondence principle. It is shown that on the basis of the Bohr theory approximate values of may be obtained in many cases from the information as to the parameters of the stationary orbits which is given by the values of the spectral terms and their quantum numbers, together with the harmonic analysis of the penetrating orbits given in a previous paper. In other cases a detailed knowledge of the intermediate orbits is shown to be necessary. Calculations are made of the relative probabilities of the transitions involved in the principal series of sodium. The values obtained by different methods of averaging are compared with the experimental results of Harrison (Phys. Rev. 25, 768, 1925). A possible explanation is offered of the observed relative intensities in emission of certain lines with the same initial state. It is pointed out that the frequencies of the spectral lines may be approximately calculated from the orbital frequencies of the series electron when the orbits are similar as in the case of combinations.
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Omitted endnote
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Omitted endnote