147 



The only way out is tliat tlie critical temperature 695° 0. deter- 

 mined by Wahl is about 20° or 25° too liigli, and that 675° or 

 670° C. is perhaps the correct temperature. 



When the above given calculation (with /'r= /'^ — « etc.) is now 

 repeated for different values of Tk, we tind e.g. 



7), = 695° e : « = 11,71 I ^ =r 26,62 i ƒ,. = 3,77 p,, = 95,3 

 680° „ 10,31 i 25,80 I 3,485 j 83,6 



670° „ i 9,40 ' 25,26 | 3,31 | 77,1 



465 

 522 

 560 



Only the last value of 7\, viz. 670°, gives a plausible value of 

 b]c with the corresponding value of /?fc=77,l atm. But as this value 

 for phosphorus is not perfectly certain, it is also possible that an 

 intermediary value, e.g. 675° C, must be assumed. The value of 

 pic would then become about 80 atm., and h^ a little more than 

 540.10-5. With a value 2% lower, i.e. 948,7 abs. instead of 

 968,1 abs., or 675,6 C, and with p;t = 80 atm. we should find the 

 following values for ƒ for the same ten temperatures as in § 1. 



log-^ =3,3010 2,6021 2,1707 1,7632 1.3143 1,0362 

 ^■_1 = 1,1460 0,9638 0,8068 0,6595 0,5088 3903 



/ = 2,88 2,70 2,69 2,67 2,58 2,65 



0,5376 0,3846 0,2577 0,1352 



0,2209 0,1527 0,0954 0,0459 



2,43 2,52 2,70 2,95 

 (min) 



The value at 409°, 3, still determined by Smits with difficulty 

 between the two series of observations, is rather divergent, as was 

 to be expected. We find namely 2,65 instead of 2,50 about ; but 

 the other values all form actually one single series, so that the 

 liquid white phosphorus can be considered with perfect certainty 

 as the metastable continuation of the liquid red phosphorus below 

 the triple point at 589°, 5 — which' has been proved irrefutably 

 by Smits. 



We have, therefore, with some probability for the critical data 

 of phosphorus : 



Tk — ± 948,1 abs. = ± 675° C- ; pk —^^ atm. 



At Tk the value of ƒ will then approach 3,4 (with nep. log. it 

 will approach 7,8). For hk we find 542 . 10 5, i.e. 135.10-5 per 



