Note on Relativistic Röntgen L-Doublets and the "Screening Constant"

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Abstract
Screening constant in the relativity formula for x-ray L-doublet separations has been computed from the wave-lengths for elements of atomic number 74 to 92, in two ways, (1) using the complete formula, and (2) using only the first three terms (Sommerfeld's formula). The second calculation is found to give values more nearly independent of the atomic number than the complete formula, and is therefore to be preferred. This result is shown to be in agreement with a recent development of Bohr's correspondence principle, a suggestion by him that in such a series no term should be included which is smaller than the energy radiated by an electron per revolution, as calculated on the classical theory. The wave-length measurements, however, are not yet accurate enough to decide the question definitely.

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