72 Mr Ozaley, Magnetic Susceptibility with Temperature. 
for all values of p (integral) where w, and vy, are independent of 
the temperature. 
Equation (3) now becomes 
N 
XP = = Np. Cy a = 
p=1 
N 
=> ee ty Oy hy 
p=1 v 
Write 2 Nop AC ppp = A). 2k (9), 
2 Nips Cp Ug = 3, 1. .e ee (10) 
A , 
Then VYP= in + Be. caved (11), 
where A and B’ are independent of 8. 
(b) Diamagnetic susceptibility. 
The specific diamagnetic susceptibility of a solution may be 
written 
1 N 
ND = Fp % Mp BMp soeeeeeeeeeeeneee (12), 
where 61, is the resultant magnetic moment produced in particles 
of type p, per particle, by the application of a magnetic field of 
intensity H. As before n, is a linear function of the temperature. 
Writing Ny = Nop Pp (3) = Nop (ep + Up - ¥), 
we find yp po Olly a (Ba te Bins S) 
eae 
3a 
'N 5 
, = @ wp OM. by + Fe > yp Own 
p=1 p=1 
Write 
1 oe 
A Mo 8My- bp = B > A = Mw: OMp . % = C. 
Therefore yp— Bb CS, 
where B” and C are independent of 5. 
The specific susceptibility of the solution may be written 
RESIDE ND) 
where BEB Bes ee ee (14). 
