Physics. — “The Anomalous Zevman- FL ffect.” By Dr T. van Lonutzun. 
(Communicated by Prof. H. A. Lorentz). 
(Communicated in the meeting of May 31, 1919). 
Different attempts have already been made to explain the ZrrMAN- 
Effect from the atom model of Bonr'). As yet only the normal 
Lorentz triplet has been explained, often with superfluous components, 
which however have disappeared in the theory of RuBiNowicz. 
The theory of the anomalous Zenman-effect has not yet advanced 
much, nor is the explanation of the Pascnen-Back-effect much further. 
It may, however, be tried to bring one of the parts of the problem 
to a solution, so that possibly the results obtained in this way might 
be serviceable for the complete solution of the problem. 
One of the questions that presents itself here, and which I have 
set myself the task to answer, is this: 
Does the magnetic splitting up exclusively depend on the initial 
and the final path in which the electron moves, or does the transition 
play a part in it? 
In other words: 
Is in the presence of a magnetic field the formula: 
W,—W, 
B EE Sn) 
valid, or should it be replaced by a formula as e.g. 
WW. eM 
pS = eee PAL EE Bees ee ibe) 
h ' Az me 
pe 
as Bour?) thinks he has to assume. 
1 will put the question into still another form, because expressed 
in these words the solution is easiest to give. 
It is known that the frequency of the vibrations of every spectrum 
line may be represented’ as the difference of two functions, so-called 
“sequences, e.g. : 
1) N. Bour, Phil. Mag. 27, p. 506. 1914. 
K. HerzreLp, Phys. Zs. 15, p. 198. 1914. 
P. Despre, Gott. Nachr. 1916, p. 142, Phys. Zs. 17, p. 507. 1916. 
A. SoMMERFELD, Phys. Zs. 17, p. 491. 1916. 
A. Ruprnowicz, Phys. Zs. 19, p. 441 en 465. 1918. 
2) N. Boor, Phil. Mag 27, p. 506. 1914. 
