-rays with bound electrons is proposed by Rutherford[40] in order to account for the numerous groups of homogeneous

-rays expelled from certain radioactive substances.

In the present paper it has been attempted to show that the application of Planck’s theory of radiation to Rutherford’s atom-model through the introduction of the hypothesis of the universal constancy of the angular momentum of the bound electrons, leads to results which seem to be in agreement with experiments.

In a later paper the theory will be applied to systems containing more than one nucleus.

[23] Communicated by Prof. E. Rutherford, F.R.S.

[24] Part I. was published in Phil. Mag. xxvi. p. 1 (1913).

[25] Comp, also Geiger and Marsden, Phil. Mag. xxv. p. 604 (1913).

[26] Comp. C. G. Barkla, Phil. Mag. xxi. p. 648 (1911).