1922.] Theory of Generalised Quanta. 301 
It will be seen that the energy thus depends on a single 
quanta number and the doublets and triplets of the Balmer 
series would receive no explanation. 
COMPARISON WITH THE QUANTA PROPOSITIONS OF PLANCK 
AND SOMMERFELD 
Sommerfeld writes 
1 
ie 
and 2rp=n’h, while with Planck the latter would be in the 
form 2n(p—p,)=n’h. According to Sommerfeld’s original 
view of the wa of ee for the azimuthal integral the 
latter would stand in the for 
yee pan. 
ASP = De 
All these relations are therefore different from the relation 
Qa v/ p?— p2t=wh 
proposed in this paper while if the present relation is admit- 
ted then the radial quanta number of Sommerfeld would 
—— with the time-energy integral and with the azimuthal 
ntegral. : 
It is obvious that i dpspdtsH = } dp8p.j di8H since the 
d in » is a function solely of p and the period in ¢ 
function of H. Thus the volume of the elementary cell in 
phase-space is equal to h®. It will also be seen that the least 
value of p which is p) cannot be passed in quanta changes. 
COMPARISON WITH PASCHEN’S EXPERIMENTAL RESULTS ON 
THE BEHAVIOUR OF THE RYDBERG NUMBER IN 
THE BALMER SERIES. 
H nh 
We have metho —— 
MC a/ nth? + 4p, 
nh 
= Pw f n*h? + 47%e* 
c 
But e=4:7, 10-": A=65. 107"; c=3. 10” 
aa is of the order of 107°. 

