378 



We may choose the arbitrary constant occurring in the function 

 T 

 E,= i C,dT such that at T=0 and v=h the energy U=0. 







Further utilising the fact that at T=0 C = 0, we can also choose 



7' 



the arbitrary constants of the functions //^ =: I — i dT and 



7" 



T^dT so as to make S^ = 0. The functions E„ E, H, 



clT 



and H are then completely determined by the values of C\ and C, 

 except that H\ and H contain another constant h which, however, 

 occurs in the constant of the vapour-pressure formula, the chemical 

 constant so-called (vid § J 2), and is therefore determined by it. 

 Putting also : 



dE, dH, ^ 



C, — — ^=: 7' -— ^ = C„ + / (7'), . . . (21) 



and similarly, in agreement with the preceding discussion {Ct=o 



must be 0), 



dE dH 



^^.T- = C.+;AT) (22) 



it follows that 



7 



E,=E,-^''-+ C,T + ƒƒ, (7') dT \ 





 T 



E =.E,-^C,T+Jf,{T)dT 







T 



(23) 



H,=k ^CJogT+J^/\(T)dT 





 T 



H ^h + C, log T + J^/, {T) dT 







11. What are now the quantities determining the coexisting 



of one single molecule. Our equation cannot teach us anything about that 

 mechanism; how the properties of the amorphous-solid condition arise by 

 association is here left out of consideration. 



