1108 
Now if qg is a function of the numbers 7, the variation of q, if 
a varies with da, is because of dn, then being v,dz, 
k 
( 
1 DS at rd. 
l Ny 
ò 
So that this sum may be represented by x dies 
a 
The condition of equilibrium thus changes into 
ay Es ore 09 N ("dg 
aa Vy [ass AS — log <1 Wm, og V — logs, nl — av. 
1 ol 1 2 Ee ) 9 On, ges da 
\’ 
Putting the zero-energy «, and introducing 3 vibrational freedoms 
then, when the remaining part of 9 is represented by f, we get 
Se San, pais eee 
ai, LOO Ny SS NLO og V — —— = 1098 + = r 
en R1 “ss One ae 
DD 
N “0g 
EE 
Se Ou 
u 
the constant s, containing all quantities that do not depend on Vand 7. The 
| : 
quantity Xr, log s, may also be substituted by a single constant. 
1 
J 
. . L 2 
Also in the case considered the quantity = loy w can be defined 
No 
for each state as entropy, and likewise we have for the supply of 
dQ é eee | 
heat = < dy for states of non-equilibrium and = dy for states of 
equilibrium. 
It may be regarded as an advantage of the statistical method, that 
it contains at the same time the thermodynamical consideration of 
Dr. Hornen, and the kinetic result — the law of GuLDBERG and 
Waacn — that he is bound to introduce besides his thermodynamic 
considerations. 
Groningen, November 1912. 
