463 



2. Wlietiier the qiuiiiüty a is also iiKlepeiident of the temi)e- 

 ratnre, Ciiiiiiot be stated with perfect certainty yet. For as I thini<: 

 I have fully set forth in my Communications of These Proc. of 25 

 April 1912 (p. 1091— ri06)andparticnlarly of 3 Sept. 11)13(44— 59), 



the assumption of a lavqe value either of f — | or of — I — ^ I 



(see p. 56 — 57 loc. cit.) is necessary for the explanation of the 

 course of the characteristic functioji (f (see §19). And as, accord- 

 ing to the above, h,j is, indeed, varial)le with the temperature, but 



pi'obably not so much that — I ^7 I %'^^^ ^'^^ required value, besides 



h possibly also a might depend on the temperature. Only a separate 

 investigation can furnish certainty about this. 



3. The quantity h depends both on v and on 2\ The way in 

 which h depends on v — which is expressed by a formula of the 

 form (see II p. 931 et seq.. Ill p. 1048, formula (29)] 



= 1 - 



in which x = {h — />„) : (v — v^), and ?i depends on the quatitity y, 

 which is in connection with /;,/ : h^ — leads us to suspect that the 

 variability of h is possibly chiefly a i^eal change after all, caused 

 by the action of the pressure p -\- "I,-"- and of the temperature, in an 

 analogous way to that which van der Waai^s had in mind when 

 drawing up his "equation of state of the molecule", with which the 

 above expression shows a close resemblance, [cf. also II p. 930— 931 

 (23 April 19i4)J. Particukuly also with regard to the temperatare 

 dependence, viz. [see III p. 1051 — 1053, formulae (35) to (36)] 



bf, — b„ 

 ■-^— = 2y'-l = 0,04 1/7', 



this agreement is remarkable. But whereas van dkk Waals' two 

 exponents n are different, our two exponents are the same — and 

 dependent on y, i.e. on 2\ so that n can vary from 375 (for y = 1) 

 to 00 (for y ^ Vj' i-G- ^=0), as has been set forth in II, p. 935. 



4. It seems to be unnecessary to ascribe the change of b to "quasi 

 association". It might namely be assumed that the complex mole- 

 cules possess another \olume than the simple ones, and from this a 

 relation b =f{v) might be calculated — according to the known 

 thermodynamic relations which indicate the degree of complexity as 

 function of v and T. RTis then however multiplied by another factor 

 wdiich depends on the degree of association. 



What VAN DEK Waals has treated in tiiat sense on p. 1076 of 



