( 655 ) 



in the p, «- and T, .r-fignres far below the triple point, viz. already 

 at the temperature B of lig. 5, 1. e. the temperature, at which in 

 fig. 9 the new branch of the binodal curve (on the left side) makes 

 its appearance in the figure. Let us first consider the p, «-lines. 



At the temperature mentioned (7\) a new branch begins to form 

 at the same height as the spinodal line, so far below the point of 

 the stable coexistence. In the p, «-figure the point where this appears, 

 is. in opposition with the v, «-figure, indeed a point where the tangent 

 is indefinite ; for the equation : 



N.dp = Uss — asr) — 3- — Z- — — -2_ dx f , 



holds for the former figure ; the factor of dxf is zero on the spinodal 

 line and the factor of dp on the line D=i), which both pass through 



the point considered; so — is there indefinite. The new branch extends 



da 



more and more (fig. 6) ; its maximum continues to lie on the spino- 

 dal curve, and the point with the vertical tangent on the line Z)=0. 

 When the temperature of detachment in the v, «-figure (7 7 2 ) has 

 been reached, the old branch and the new one unite (fig. 7), and 

 separate again as figure 8 represents. At the triple point temperature 

 (7 T 3 ) the middle one and the topmost one of the three points of inter- 

 section with the axis coincide (in the final point of the double line 

 vapour-liquid) (fig. 9) ; afterwards they exchange places. At still 

 higher temperature the downmost point of intersection with the axis 

 and that which has now become the middle one coincide ; at this 

 place there is again a point with indefinite tangent (7 7 4 , the tempe- 

 rature A of fig. 1) (fig. 10); at still higher temperature the binodal curve 

 solid-fluid has got quite detached from the axis, and its downmost 

 branch forms a closed curve, which contracts more and more, and 

 at last disappears at the temperature of the isolated point of tig. 5. 

 Here it is evidently essential that 7\ lies above 1\, and T 3 above 

 1\, according to the significance which they have in fig. 1 ; also 

 1\, the point at which the detached branch disappears from the figure, 

 must lie above 7\, the triple point, because in the triple point the 

 binodal curve solid-liquid must still have two points in common with 

 the rim (a little above it even three). But it is not essential that 7\ 

 lies between T s and T x ; r J\ might just as well lie above T 3 . Then we 

 get the succession: fig. 6, fig. da (triple point), fig. 10^. If now T 2 lies 

 below T 4 , there is confluence and section, and we get after fig. 10a 

 fig. 11, and then Smits' figs. 4 and 5 (loc. fit) ; if T, lies also above 

 T 4 , first the two lowest points of intersection of the binodal curve so' id- 



