Abstract
Part I: A strict theory of the absorption of x-rays is developed on the basis of relativistic quantum electrodynamics. The theory is applied to the absorption of x-rays by a Dirac electron in the field of a nucleus. Corrections to the non-relativistic theory are appreciable only for heavy elements, where the present calculations give a K-discontinuity twenty percent smaller than the earlier ones. The agreement with experiment is not improved.

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