Structure of the Atom. RAT 
When i=1, the frequency equation is 
5 2 3\? Pager 2 
(e775 <;— mq?) =(7 Sai — 2m) : 
The solution of this equation is 
Cu 
Vs 1 e” Cae le 
Fe hue AB inde Ae 
————— Se 
° 2 9 2 
e 3 ve ; 
q= —oin/V3 WS. gee: are ) 
2 ma 2 mb 
When &£=2 the frequencies are the same as when k=1; we 
have thus six frequencies corresponding to the six degrees 
of freedom of the three corpuscles in the plane of their 
undisturbed orbit. ; 
For the vibration at right angles to the plane of this 
orbit, when £=0 the frequency equation is 
es 
- —mq*?=0, 
or 
fh [ve 
T=V nb! 
When £=1, the frequency equation is 
ve? e 
me ree ewe 
or g= ro. 
In the case of three corpuscles, as in that of two, we see 
that when there is no rotation three of the periods are equal ; 
these are separated when the corpuscles are in rotation. 
Case of four corpuscles. 
When n=4, 
Sy=142)/2, Ty=4)/24+1, Up=0, Ly= (6/242) 
ez 
8a?’ 
‘a 2 ae e 
No=(6/2+1) gq My=0, Po=(b/2+1) 357 
Q 
= é 
S,=-1, T,=-1, ‘Ue a ee. L,= —2 373 
ee e (ee md ae 
N= 8a” Boi 2,/ 2 8a’, Pp Sa?’ 
: = s ad e2 
S.=—2,/24+1, T,=—4,/2+1, U,=0. L,=(—6\/2+2) x 
2 : 2 
: @ 2 36 
N,=(—6)/2+1) 3, M.=0, P,=(—4)/2+1) gs 
