Determinations of the Rydberg constants,
e
/
m
, and the fine structures of H
α
and D
α
by means of a reflexion echelon
During the last few years many investigations have been carried out with the object of determining the fine structure of the red Balmer line of Hydrogen, H α , and its corresponding analogue, D α , in the heavier isotope Deuterium. It is only in these cases that the positions and relative intensities of the components can be accurately calculated in terms of the fundamental constants e, h, c , etc. The results are thus of considerable importance as affording a direct check on the fundamental basis of the quantum theory. When account is taken of the effects of electron spin and the relativity variation of mass with velocity, the wave mechanical equations of Dirac give a result for the structure and intensity ratios identical with that given by the “Sommerfeld formula” which was an earlier attempt to make allowance for the relativity effect.