1079 
: 4 ma)? 
A 3V3—l1 \? me! 
a ae a 
If here we take for e the value 4,69. 10—!® that has been found 
€ 
for cathode rays (though the value of — for these rays is different 
1 
follows 
from that to which we have been led) we get 
1 
aie 
If we take e= 2.4,69. 100 this becomes 
] 
258 
: : ; 1 
which no longer agrees with Bonr’s hypothesis: <= —. 
2 
One would be led to the same conclusion if it were possible to 
obtain Dersise’s dispersion formula witbout the two last terms, i.e. 
without those that have called forth our objections. The formula 
would then be: 
mao U) 
„3 Je 
n—1= 2a N— Ba + 24,456 S| 
We should have: 
2 
Or A OLO Geos howe 
m 
and if we take e= 4,69 10-10 
1 
2 = Tar 
We must still mention that it is possible to give to the electrons 
such a mobility that an electric moment in the plane of the path 
is possible, while still the system remains stable. For this purpose 
we may assume that the electrons can only circulate on a circle 
with prescribed radius. As we must now introduce radial connecting 
forces, one of the equations 2, that which connects 7 and w, must 
be omitted, a rotation with any angular velocity being now possible. 
Instead of the equations (38)—(6) we get: 
u — 0 7 
a ey 
( ——_. = Q), 
Pas dmr® 
» 3V3e ‘ 
y+ — iis 
16mr? * 
70 
Proceedings Royal Acad. Amsterdam. Vol. XVIII. 
