Structure of the Atom, Zar 
Case of sie corpuscles. 
When n=6, 
4 16 
b/d 
N =(29+5- ne M,=)2¢P me Bb ee 
ee C0 ge) ki nme Ma 0 fs 34/3) 8a” 
S,=1 ut p b= oe - 
a Rae ;=t- er ies =( eae Bat’ 
e e 8 7s 
— == — cee a) eee a ey Wr bee Ve 
ae N= (13-5, wa) Ea oe (i, ae (7 3,73) Ba 
yey  y ige aa aeath 
eferr Ee Mn ie Sa 
Rolo aAls (esa ® 
° 
ee 
O 39 
oa 

! 28 
yt eg —e Ly= (22+ iA) 


a) 
16 _28 
=— — Spe 22 eas 
20 16 
N=(- 20457 )ae Mao we nite, 
It is not necessary to write down all the frequency equa- 
tions because, as we shall show, the arrangement of six 
corpuscles is unstable. For w hen k=8 the fr equency equa- 
tion is 
6 a 2 e ’ ; 
(5 (5+ A) = —44 8a° mg? )( 58 = = mg? )=4m°o"g?, 
or (14—8/3) &? : 
= 8 eee )( 


r i —mq*)=4meo*g? (1) 
As 14-8 V3 is positive, we see that one of the roots of this 
equation for g* is negative, so that q is imaginary ; this shows 
that the steady motion of 6 corpuscles in a ring is unstable, 
however rapid the rotation. We can, however, make the 
motion stable by putting a corpuscle at the centre ; ; if we 
have a negative charge equal to that of p corpuscles at the 
centre of the ring the radial force it exerts on the sth 
pe, pe 2pe’p 
(a+p)”’ o Pe ae tee 
into the expression for the radial force we find the frequency 

corpuscle is Introducing this term 
