Chemistry. — ‘“/n-, mono- and divariant equilibria”. XIX. By Prof. 
F. A. H. SCHREINEMAKERS. 
(Communicated in the meeting of September 27, 1918). 
Kquilibria of n components in n+ 1 phases. 
We have seen in communication XVI, that the following equilibria 
may occur on a bivariant region H= FP, +... Fy: 
1. the limit-curve /#,, when the quantity of one of the components 
approaches to zero. 
2. the turning-line Hp, when a phase-reaction may occur between 
the ” phases. 
3. the critical curve Hx, when critical phenomena occur between 
2 phases. 
In the communications XVII and XVIII we have discussed more 
exactly the turning-line Er and the region in the proximity of this 
line. Now we shall briefly consider the limit-line /,. 
When in an equilibrium H= F,+...+ /, the quantity of one 
of the components becomes zero, it then passes into the equilibrium 
E,=f,+...+ Ff, of n—1 components in n phases, or, what 
comes to the same thing, of n components in m+1 phases. Conse- 
quently we consider this last equilibrium, viz. 
BE=F,4+ Foyt... + Fat 
of n compounds in n-+1 phases. 
The conditions for equilibrium are: 
OZ 0Z; | 
tn em abt 5c gis» ate eee IE 
in which 2=—1, 2,...(n-+1) 
and further: 
OZ. 02; OZn+1 
— = = t= == Cs 
Ox, Ox, Om 
aZ, az, Ice ee ee 
EE ee ZE =i, 
Oy, OY, OY n41 
to which are still to be added the corresponding equations for 
CIR Onee Us eG: 
In (1) we have n+1, in (2) (n—1)(n + 1) equations, together 
