Structure of the Atom. 249 
When k=2, the frequency equation 1s 
ve” 8 J 2? 
ee 
‘ ,_ AVE yy YEH 2) 12 
TC avige” ava49 mb 
Thus, unless - 
. go ee (1) 
8/2 mb? neb 
q° is negative, and the equilibrum is unstable, the four cor- 
puscles ‘then arranging themselves at the corner of a regular 
tetrahedron. W hen, “howevy er, @ is large enough to satisfy 
condition (1), four ‘corpuscles will be in equilibrium when 
in steady motion in one plane at the corners of a square. 
Case of five corpuscles. 
When n=5, we have 
S)=5°5056, T,=12-1732, U,=0, Lb= gx (17°6788), 
No= = (188408), M,=0, Py=< (121732), 




Sj=~—65, T;=1:1609, U,=4856, L,= se (511), 
SS “(2:9716), M,= oo Fe. (1: 1609), 
S,=—2°1038, T,=—7-249, U.=2:103, L.=— . (9°352), 
ee ee OS. Pla = pong 
du Su $ Su 
The frequency equation when k=O is 
G 5°5056 eo —my?\(—m9’) =4m'*os’ 
4 a ( : 
the solution of which is 
y=0. : gaa BE+ Bye 
When ¢=1, the See equation is 
2 2 2 
e Lo 
> 87 — — mq?) = — 4°856 —2mar ) 
(15 Ka ie ‘) (< / ; 
