IT has been shown by me (Phil. Mag., 7, p. 493; 1909) that some of the main difficulties of the Bohr atom disappear if the electron possesses the property that it absorbs radiant energy during its motion, which induces a decrease of its electrical field, and under certain conditions ejects again the energy as radiation. A deduction of these properties was given based on thermodynamics and kinetic theory, which will be further elaborated in subsequent papers. The results may also be obtained in other ways, one of which will be pointed out here.