( 587 ) 



Fig. 3a gives an enlarged, sclicniatical representation of thai iso- 

 lated connodal line, where some straight lines represent (he "hidden"', 

 non-realizable eqnilibria. The points a and a', and in the same way 

 b and b' are corresponding points. The "tail" at b' is always directed 

 towards the side of the plaitpoint (which lias already disappeared in 

 onr diagram) of the principal plait, the "point" at a lies on the 

 opposite side. 



We point ont that the shape of tiie spinodal lijie, as is drawn 

 in tigs. 3 and 3(i, implies, that it tonches the plaitpoint line in the 

 peculiar way, indicated in tig. 2. In the innnediate neighbonrhood of 

 7?i the uppermost portion lies left of the common tangent, the lower- 

 most portion on its riglit. 



At somewhat lower temperatures, in our example at r = 0,61 

 fig. 4), the isolated connodal line begins to touch (in M) the connodal 

 line proper, and from this moment one of the two new plaitpoints, 

 viz. p, will become the plaitpoint of a new branch plait, which has 

 thus arisen from the principal [)lait in the way described above. 

 Cf. e. g. fig. 5, where t := 0,60. The point p' is always unrealizable, 

 and this continues so down to the absolute zero, where the plaitpoint 

 line terminates in A. On the other hand all the plaitpoints I' trom 

 M to Ci will form realizable plaitpoints of the new plait. 



In fig. 4 phase 3 begins to split up into two new phases, the gas 

 phase proper 3, and a new liquid phase J, rich in the 1*' component 

 of the mixture. There is a three phase Jiiie, the beginning of a three 

 phase triancih (see fig. 5), whicli contiiuies to exist from this point 

 down to the lowest temperatures. 



In fig. 5 it is also seen how the connodal line whicii passed on 

 uninterruptedly before, but which is now broken oft' in the angles 

 1 and 3 of the three phase triangle, proceeds on the ifj-surface. 

 With this corresponds the well-known "ridge" oji the connodal line 

 at 2. 



At T = 0,59 the new plaitpoint P reaches the lower critical tem- 

 perature C\, and from this moment the branch plait is always open 

 on the side x = 0, and this continues so down to the lowest 

 temperatures. 



The ^>,.i'-representations are omitted for want of space. 



Fig. 6 gives the jj,7'-diagram of the plaitpoint lines. Noteworthy is, 

 that we meet with a cusp in the line (\A at /?i, where the spinodal 

 line touches the plaitpoint line (cf. fig. 2). We shall prove this further 

 on. As we have already shown in our former paper, the pressure p 

 approaches — 27 /jj at A, where ï'=:0. (This derivation holds 



