( 715 ) 
upper sheet is raised. At the limiting values of « this rise is still 
equal to zero. 
But for values of w, which differ from these limiting values, the 
rise assumes certain values, at first, however, only between tempe- 
ratures which differ little. But this is accurately rendered by fig. 39. 
The consequence of all this is that if a certain increase of pressure 
is applied, e.g. if we observe above the maximum pressure of the 
modified liquid sheet, the total non-miscibility has disappeared. If 
we lower the pressure, the non-miscibility may reappear but at a 
pressure which is only slightly less than the maximum pressure 
it exists only over a very small range of temperature. In other words 
there the dotted curve of fig. 39 has greatly contracted. In this two 
cases will no doubt occur, either real minimum pressure occurs, or 
the pressure in the point Q is the highest. At higher temperatures, 
however, splitting up into vapour and liquid is still possible. 
3. If in fig. 40 the circumstance occurs of minimum value of v 
on the vapour branch, there exists for some mixtures, if we take care 
to follow. the three-phase-pressure, retrogression of the condensation. 
For the mixtures which show the above discussed non-miscibility 
between two temperatures, both a’,, may be >a, az, and a’,, may 
be <a,a,. However if a’,, > a, a,, the chance to non-miscibility 
is smaller. In this case the points ¢,, ¢, lie on a hyperbola which 
intersects the space OPQ below the parabola close to the point Q; 
and as the intersection takes place nearer to Q, the distance between 
the parabola and the ¢,-axis is smaller. And as soon as the value of 
9° 
would become so large that the intersection of the hyperbola 
a,a, 
with the e,-axis takes place past Q, non-miscibility will be quite 
Arges 1 (n?+1)? 
excluded. So if a Bite 
For the full discussion of the 
d? 
=O and chee, it now remains to 
2 dv? 
d? 
intersection of the surfaces 7 
examine the cases with negative values of ¢, and 6,. 
(March 25, 1909). 
