still must be added. The formula obtained in this way agrees with 
that of p. 12 and 13 of the cited dissertation. 
Just as in this dissertation p. 16, we can by comparing dQ=de 
+pdv and dy show that 
1 
Ree at 
if we have to do with the changing into a state of non-equilibrium. 
I will now consider what will become of our condition. of equili- 
brium in the case we apply the theory of energy-quanta. Let us 
Suppose we have the case of the molecules possessing 3 degrees of 
freedom of rotation, and 4, vibratory degrees of freedom of the 
frequency vt’ 
The value of y, can be given then. On account of the 3 rotations 
it contains a factor OG, further the integral is equal to a product 
of L integrals of the form 
Etiz 
AD 
| € dh, 
relating to each of the vibrations. This integral has the value 
hej 
Introducing for each molecule the energy «a, for the zero state and 
a constant originating from the integration with respect to the angu- 
lar coordinates of the rotations, then the condition of equilibrium 
takes the form 
k k Bis DE 
k Sout es Peay) ede 
—TV, —D; im Y’, 
y Al el 1 if = hr}, a 
n= aL e 5,7 en RES 
1 Wee 1 ht, 
7) 
1—e 
in which all constants relating to the molecules « are contained in 
S,. If the theory of quanta must be applied to some of the rotatory 
energies, then the exponent of 7’ will be smaller. 
As appears from the calculations of Dr. Screrrer *) the experi- 
1) The complications arising when equal frequencies occur are easily to be 
overcome Comp. these proceedings 8 March 1912 p. 1103 and 1117. 
*) These proceedings XIV. p. 743. 
rae 
