1048 





.oh-oj ^'>^k — Ok 



in which .x = {/>—h„):{v—i\) — and which except i\ and />J=zv,) 

 only contains critical qnantities which are (directly or indirectly) 

 experimentally determinable — we introdnce again f>,,— lfo instead 

 of f>k — />o, then when (30/>) is taken into acconnt, viz. 



C0]'=^'- ' <-*' 



(30) passes into 



b,-hj xk 





Tn this is, also accordin^i- to (30/>) 



.. fb—b^\ „_|_i 

 .r„" z= Lim =r ./■/, : b /. , 



so that after siibstitiitioji the eqnation (29), i.e. 



b—b^\>' /a-V' 



br,— bj \xj ' 



is found hack, from which we had started. In this we have fonnd 

 for the exponent n [see (30(/) and (31)] : 



_ 1 -xk _ 8y (y + 1) _ 2bTcVjc 



'' ~ xk - b'k ~ (2y _ 1) (4y + I) "~ {bk — b,) {2bk + ^)' " 

 when for ///,• its valne (hk — h^f-.hki'k is snbstitnted, and further 

 for A/,. : l\ the value 2y fonnd in I ^) (see § (>, p. 817) and for vi- : i\ 

 the value 2 (y -\- 1). In this i\ is the liquid volume extrapolated 

 from the eqnation of the strai^rht diameter at jT = 0, y being the 

 reduced coefficient of direction of the straight diameter. 



In the two foregoing Papers the problem with which I have been 

 continually occupied since 1901, has been brought to a provisional 

 solution. Already then I expressed (Arch. Teyler (2) A^II, 3*^ partie: 

 "Sur I'influence des corrections etc.") the critical quantities in the 

 values of h'^ and h''^ at the critical point (see among others loc. cit. 

 § 4), and verified the function b=f{v) proposed by Kameklingh 

 Onnes for H^ and CO2. We now know that this function does not 

 fulfil the condition that at Tj, the qnantities b'l- and b"k must have 

 the values found by me. (See the preceding Paper II.) 



In 1905 I went further, and expressed the ditferent critical quan- 

 tities in two auxiliary quantities « and (i, of which a was in 

 relation with /', and (i represented 1 : s. (See particularly ^ 2 of 



1) These Proc. XVI, p 808 to be cited as 1. 



