181 
Evidently of all the original degrees of freedom only those remain 
in the power of h, which are not excited. The other factors h are as 
it were absorbed by the intregrals. 
Il. Calculation relating to § 6. 
We found [eq. (27) § 5]. 
og by} = 2 Ni lg vg K + tog a | | 
al ne ck | 
EN aha 
If this expression is varied, having regard to 
dr 0; dN; = 00: dE = dK + = ws dN; 0,4 (73) 
the last equation provided with a multiplier (— 6) being added to 
the variation of log fy}, we obtain: 
0 =dlog}y}— 4 an END 4 zen lg V+ log K + ve 
F (74) 
— JQ Zr; log Ni — ( 7) 00: = Vi Te dK — dQ. Eri: 
1 
The condition that the co-efficient of JA disappears, gives: 
F 
= end 
that for dQ 
5 fee eee 
ear, log. IN; — > v; ard log K + log ai — 519-5 — 0 „| (76) 
or by (75) after a small reduction 
Si 
2K F 
eee Fi + log di — OK x Cea) 
=> Dilog_N; = > vi | to V+ 
gemd 
The thermodynamical calculation is entirely similar. 
Ill. Deduction of the vapour-pressure formula for very low temperatures. 
The equilibrium of evaporation at very low temperatures may be 
deduced by the same means as that of dissociation. If again there 
are X, Y, Z atoms in a volume V, which, however, may now be 
associated in N poly-atomic molecules of one kind, of composition 
&,7,¢, mass and moment of inertia M, P,Q, R and symmetry- 
number o, N of these may be present in the form of vapour 
