147 
For the logarithms of the constants we have thus the temperature 
functions : 
w w 
lg K= — Sea ee ee CE 
gE ip es (Z') 
w kT S 
lg ky =a te a een he 
k1 nm w 
kT S 
be Ke hl see er ed ae EEL) 
mm 2 
Prof. F. E. C. Scurrrer, whom I showed the above calculation, 
drew my attention to the fact that a formula as (///') will not be 
valid as long as it does not contain a term of the form a More- 
over he felt inclined to suppose that often two atoms, when they 
approach each other and impinge, do not always combine to a mole- 
cule, but only under certain conditions e. g. when the relative velocity 
of the particles surpasses a certain value. 
The image needs only a few alterations to fit the opinion of Mr. 
SCHEFFER and to give us more general formulae than (/Z/') and (//7/'). 
In order to make that an atom will only then enter the sphere 
of attraction of another atom when the relative velocity sur- 
passes a certain amount, we have simply to assume just at the 
outside of the attraction layer still a thin layer in which the 
forces between the atoms are repulsive ones. An atom coming from 
the outside, approaching another atom and having passed the out- 
ward layer will have gained an energy w,. It will however only 
be able to pass this layer when its kinetic energy was great enough. 
On its further way after having passed the inner layer, it will have 
gained a negative amount yw, of energy. 
Now we can repeat the above calculation. 
(4) and (/’) remain valid when only we put w= wy, + y,. 
To find the fraction of the molecules dissociating per unit of time 
and of volume, we have only to extend the integration in (2) with 
respect to a from a value of « satisfying 4 hma* + 2hw, —O0toa=oa. 
The result is a formula like II when we replace in this w by y,. 
The third formula may be obtained either again by division or directly. 
The three formulae thus found are 
htt, @ 
lg K = — en er ZI A 7 
ab, bi Sires 
lok, == + 4la—-+tlg— .... (ZL) 
nT am w 
we, kT S " 
ik = —— si ye a 3: 2 VN 
g 2 TSE A 2 In a= g 9 ( ) 
LOE 
