Statistical mechanics '^1* 



Introducing tlie value (153) of co into /, we get 

 I = 41/ 2 K 



(I 



41/2 1 ° + + 4f?2 12«) (7f + 4Z)- Q*) 



and 



tx TJ 



o d 



J + 4&2 



We first observe that all ternas of the integral are positive and that hence T 

 is necessarily a positive constant. 



We have remarked above that we may, without sensible error, put d = 0. 

 Substituting this value and using the notation 



b = b^D {db = Ddh,) 



we get 



9J 



16 C C h ^ oil c 2c(^ 



Iba^y It J J '■{K-\-4b^D 



0 0 



or 



0 0 



where 



(157) _ ^ / ^ 



We find that T depends on 3 parameters: D, a. The number of para- 

 meters may, however, be reduced to one (and a factor). Putting 



(158) ^11 ^ . 



41>*a9 



so IS 



1 



0 0 



