299 
not quite symmetrical with the repulsive action, is clear from 
formula (1). More-over, also for an estimation of the relative order 
of magnitude of these forces, we shall give some numerical conside- 
rations in the following paragraph. 
§ 10. Some Numerical Calculations. 
Since the centres of the atoms cannot get nearer to each other 
than 2a, a mean distance of /= 3a is, indeed, an extreme value 
for solid bodies and liquids, sooner too great than too small. For 
when it is considered that for many liquids w—b):v is =7/,, in 
the neighbourhood of the point of solidification, then /—=(41 + '/,,) 2a. 
But as the quantity 6 in the equation of state will very certainly 
not be equal to the real volume of the molecules, but larger, in 
reality 7 will be >2,05a. Even at the absolute zero-point / will 
probably not be smaller than 2,1 a. Let us now first put 
| = 3a. 
1. z==0. The moving molecule is then exactly in QO, halfway 
l_zte 1 
(lr) a"): iy (Lt?) | El 
between the two others. 
We can now write for (1): 
Bau Iz Ld 
e line neten ee 
in which we get for the case z=0.: 
=| lemon eller art 
ae (GS ah ( (J++ «)?—a?)*/2 (14-2)? | 
| ] 
l 1 
[heme elec arn el) 
in which the first and the third part cancel each other. In order, 
however, to get to know something of the mutual order of magnitude 
of the different parts, we have not omitted these terms. 
For «=O all the 4 terms are equal to each other; i.e. = 
(3:8% —1 : 9):a? = (0,1326—0,1111): a? —0,0215:a?, and we have- 
a? F:e* = (0,0215—0,0215) — (0,0215—0,0215) = 0—0 = 0. 
For «= -+ a (extreme deviation of the electron towards the side 
of Q (see fig. 2) is found with 4:15% — (1 : 16) —0,0689—0,0625 = 
0,0064, and 2: 3%—1 : 4 — 0,3849—0,25 — 0,1349: 
a’ Fre? =(0,0215—0,0064)—(0,0215—0,1349)—0,0151—(—0,1134)—0,1285. 
A force, therefore, directed towards the right, chiefly originating 
from the repulsive action exerted by Q on M. 
, (1a) 
— [id. with +z and — 2]! 
