( 535 ) 
The constant u of the equation (VI) can be determined, if we 
observe that in the homogeneous phases ¢,,—= 0. Representing the 
molecular density of these phases by n, and n,, we have 
d d log « w, Zan, Wy dlogws Zang 
= log — ng ———— at | ere) 
iad Nn, T Ne d nz qc 0) 
Rn 
n, 
which yields one equation between n, and nj. We ean find a second 
by means of the observation made at the end of the note of p. 534 
We have 
let DIE pak, ein pS. cen OR We a A (12) 
where the p’s are known functions of n, and n, (cf. (8)). 
After having determined n, and n, by means of the foregoing 
equations we can use the first to determine yu. 
The thickness of the capillary layer depends on the modulus 0, 
it can be determined by means of (VI); we can also calculate the 
number of the molecules in this layer. This number being known, 
the equation (I) enables us to calculate the height of the liquid and 
gaseous phases. 
§ 5. We have now to examine whether the frequency of the 
system determined by (II) and (VI) is really maximum, in other terms 
whether the condition of the system is one of stable equilibrium. 
The quantity 6*logS consists of three parts, the two first of which 
belong to the elements of the homogeneous phases /, and /,, whereas 
the third relates to the capillary layer c. 
We may put the first parts in the form 
dn,” if sl 5 Zar; 
Glogs dh 5 (34 a i = Fhe 1 
h nz dn, 
where . has to be extended over the elements of the homogeneous 
layers Ah, and 4. For the part belonging to the capillary layer we 
have the formula 
2 log 5 dn, : d _ @ log w, nf 
AS aera am 
x dz 
2S Wlrde) (dn, Fn EE VEEN) 
In order that d? log § be negative, it is necessary that ds, log &, d°h loy & 
and d*.logS be negative for all possible values of the numbers d7,. 
The parts relating to the homogenevus layers may be written in 
the form 
