460 



Fiirlher we suppose as in equations (5)') aiuU?) ofSiippl. N". 30rï) 

 c ^Ur% Hence (cf. formula (3) of Suppl. N". Sua): 



Vmux ^ W1.V2 (3) 



This supposition causes (with the assumption of a zero-point energy 

 as in (1)), that at sufficiently high temperatures ?/,• becomes /,• (7'-|- A), 

 where A is a constant, and this Oostkrhuis '') found suitable to 

 explain the behaviour of the susceptibility of different paramagnetic 

 substances. 



Introducing as in Suppl. N". 30^: 



we can write ^) 



I 



(5) 



^_1 fM'^-^ 



These equations determine Uy as a function of T if there is no 

 directing force'). They contain the energy of rotation at T=:0: 



1) In this equation the supposition is made that In the state of thermodynamic 

 equilibrium the velocity of propagation for the different frequencies is the same. 



2) E. OosTERHUis. Suppl. W. 31 (Juue 1913). 



3) The appearance of the constant 60 's characteristic of the introduction of the 

 quantum-theory in the theory of this communication. This constant is coDnected 

 with the moment of inertia of the molecule or of the part of it which rotates 

 freely, in such a way that to a small value of the moment of inertia a large value 

 of 60 corresponds and the reverse. We may therefore expect that for elements with 

 monalomic molecules 60 is relatively large, and that for compounds with relatively 

 heavy and extensive molecules '0 is relatively small. The deviations from the 

 equipartition laws run parallel to that, as in fact Oosterhuis found regarding 

 the deviations which paramagnetic substances show from Curie's law. 



') Appropriate developments for the first of the equations (5): for the greater 

 values of x : 



n,\h sjt' 1 >>=r /I 3 6 6 



tlyj 15 .V^ „=1 V**''^' ^ '^ ^' '"^ ^ '^' 



for the smaller values of x : 



'/•^ 8 1 i I „ 1 , 1 , 1 



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