92 CERTAIN IMPORTANT FUNCTIONS 



The value of V p may also be put in the form 



r, = ***f...f*&...*%. (284) 



Now we may determine V p for e p = 1 from (279) where the 

 limits are expressed by (281), and FJ, for e p ,= a 2 from (284) 

 taking the limits from (283). The two integrals thus deter- 

 mined are evidently identical, and we have 



(285) 



i. e., V v varies as e/. We may therefore set 



, n 



V p =Ce p *> e P = n -Ce p * j (286) 



where C is a constant, at least for fixed values of the internal 

 coordinates. 



To determine this constant, let us consider the case of a 

 canonical distribution, for which we have 



_ 



where e & = (2-*) 2 . 



Substituting this value, and that of e*' from (286), we get 



(287) 



Having thus determined the value of the constant (7, we may 



