(673) 
shows what has been observed after the solid substance obtained in the 
previous experiment has been suddenly’ placed in a bath of 50°. The 
curve of heating now shows that after some minutes a considerable 
approach to the state of internal equilibrium has taken place, but 
it has not been reached as yet, for the melting-range still amounts 
to 0°.13, and the end-melting point lies above the unary melting-point 
temperature. 
Before proceeding to an interpretation of the observed phenomena, 
we may point out here that, as CHAPMAN ') 
/ 
found that red ? melts 
to a perfectly colourless liquid, it has already been assumed in the 
preceding communication, that the line for the internal liquid equi- 
librium runs to the side of eP with rise of temperature *). If we do 
so again here we are obliged, in contradiction to the 7’, \-figure 
given before, to draw a eutectic point in the pseudo-binary system, 
as has been indicated in fig. 6, because only in this case the observed 
phenomena can be explained *). 
The line 4/,/, denotes the internal equilibria in the liquids, and 
s‚n refers to the internal equilibria in the solid white phosphorus, 
so that s, and /, indicate the solid and the liquid phases which are 
in internal equilibrium, and coexist at the unary melting-point of the 
white phosphorus. 
Now it follows from the course of the mentioned lines of equili- 
brium, that when the liquid /, is cooled very rapidly, the erystalli- 
sation can already occur at /,. Then in the absence of internal trans- 
formations a melting-range /,/, would be found, whereas in case of 
rapid heating of the solid phase 7 the melting will already begin 
at s',, and be completed at /,, namely in case there are no inter- 
nal conversions at all. The internal conversions, however, especially 
when the two phases S and / are in contact, proceed with fairly 
great rapidity, and this is the reason, that a transeression of the 
unary melting-point temperature is always much smaller than the 
lines 7,7, and S'2/'2 would lead us to expect. 
Further the figure shows that the initial solidification resp. the 
initial melting will appear the sooner according as a higher resp. a 
lower temperature is started from, and thus we see that the new 
theory of allotropy, given in our preceding paper, gives a natural 
explanation of the observed phenomena’). 
1) Journ. chem. Soc 75, 743 (1899). 
2?) 2P is a substance we do not know, but of which we may assume with a 
high degree of probability. that it is colourless. 
3) It follows at the same time from this, that we have not to deal with the 
GOE of polymerism for the phosphorus (see preceding communication). 
t) Rapid heating, from low temperatures, gives only a small change; so the 
ts ns, has a rather steep course. 
