450 Prof. H. Nagaoka: Kinetics of a System of 
close resemblance with the band-spectrum, as shown in the 
figure. In fact, the above equation is but an extension of 
Deslandres’ empirical formula in a slightly altered form*. 
It shows that the edges may lie either in the region of high 
or of low frequency. We shall afterwards find that the 
frequency is not affected by the external magnetic force, if 
the particles are supposed to be negative electrons. 
Fig. 1. 
AZ, 
—————————————E 
TRG | 

hi (large for (/4)) 
bs 
Fig. 2. 

—_——_—_. 
Pi (lev 
42( 2x 

a | 
rge for (10) 
The remaining two equations of motion give the following 
equations for determining the frequency and the angular 
velocity w about the attracting centre :— 
wo —S—yK + (w?+ 28 +n?—pL)A cos w+ (20n + ~M)B cos u=0, 
2anA +n?B—p(MA+ NB) =0. 
These two equations show that 
o=S+pK, 2. 4 
n*— (30? —28 + w(L+N) )n?— wN (@?+ 28 —wL) + w?M?=0. (12) 
Solving for n”, we find 
m=pt(pt of — & He a i 
* For large values of h, it is convenient to count the lines from the 
edge. For this purpose, put h=h,—h', where hy gives the line at the 
edge; then 
n= a+bh2+ch?+ ... (h'=1, 2, 3,...) 
which is one of the empirical formule used by Kayser and Runge in the 
discussion of the cyanogen band (Berlin Abh, 1889). 
