( 160 ) 

 and tlierefore 



'Vm = y ^ = — — r; .... (7) 



Introducing our values for (/^ and ^/^ and i?=5, we get ,r,„=''/3i^0,19. 



1200 

 Witli this value corresponds im = = 991 . Further we have 



1 ,i;j 1 1 ^^~~'~ 



-J = 0,00087, and tlierefore .v',,, = 0,00017, which agrees with the 



value found in the first table for the first branch. 



For the second branch we have exactly in tlie same way : 



'J -2 'hi 



With I?' = 5 this yields ?/,, = ^/,, = 0,17. 



500 , f ii'\ 



T. is there ^^ = ^1^ (^-| = 



?/'„jr=0, 000001 7, which value again agrees wilh tliat found in die 



second table. 



If x\ and x^ represent tlie |)ro[)ortioiis in wliich the second com- 

 ponent occurs in the two solid phases wliich coexist in the etitectic 

 point C with the liquid phase ,/', then the jioint C may be 

 found by solving a double set of equations (6), namely those with 

 ,i''i and those with .v\. From these equations the quantities T, x, x\ 

 and x\ may be solved. 



If .y'l and 1 — .1' . may l)e neglected, then we get simply: 



T ■ T 



T — = ? , ... (8) 



1 — lo<i (1 — x) 1 loq X 



'h ' '72 ' 



from which follows after introduction of our values for 1\, etc. 

 ^■= 0,809 , 7=45r. 



The corresponding values of .r' and ?/' {v\ and 1 — x'.^ may be 

 calculated as has been done above. (Compare also the tables for 

 X = 0,8). 



A closer consideration of the equations (6) shows (comp. tig. 3), 

 that besides the branches mentioned abo\e a third branch exists, 

 which may to some extent be regarded as the connecting curve of 

 the two former ones. This branch, however, lies wholly within the 

 region of the negative absolute temperatures Qmd has therefore only 

 mathematical importance for the continuity of the meltingpoint-curve. 

 The curve T = /(x), namely A' DB' forms the connection between 



