879 
‘nection with II, p. 931 and III, p. 1048, where the probable form 
for this relation was given). If, however, we do not enter into a 
further consideration of the extra-molecular part (p+¢/,»)(b - b,), and 
for the present examine only the intra-molecular part A (b —8,)?, 
we can, in connection with some plausible supposition concerning 
A, examine what conclusions might be derived from it with regard 
to the absolute size of the molecules, and whether the found dimen- 
sions agree with the molecular dimensions derived from other data. 
The simplest supposition concerning A is, that the quasi-atomic forces 
are brought about under the influence of two elementary-charges e, 
so that for the (linear) constant of the atomic forces, following 
LINDEMANN (see among others Conseil Sonvay, German edition of 
1914, p. 286; and also pp. 316—317, as far as the derivation from 
Tuomson’s atom model is concerned), 
E Nne? 
er eo Sepa ee ot (4) 
may be written, in which N represents the number of molecules 
per gr. mol., the valency of the atoms, sub-atoms or atom groups, 
and d the equilibrium distance of the charges. If further the devia- 
tion is d, the atomic force for not too great values of d is represented 
by 
== Fd, 
and the term of the energy corresponding to A (/— b), X b—b,) by 
TO CS: 
According to (4) we can now write for Jd? 
Nne? 
eee f?;,3) 
a 
or also when s, is the smallest diameter of the molecules (i.e. with 
a deviation of the atoms d= 0): 
; Nnat / sis : 
dj 0. — : |) of) Fe 
Se d 
If we assume a Spherical shape for the molecules (if this it not 
the case, we can yet assume a mean diameter s,, so that m becomes 
== TS) we may write: 
Fy? Nue* 6 3,\° 1 cy 16)" Ly Nne® £35 \7-1 : Nr 
€ ==, „JUS ) OS = — en Jo sd 3 
' 8 d Che 28) rd 904 d Ö% Ue ) 
0 0 
in which 4, is the smallest volume of the molecules. The quantity 
1) We may point out here, that in consequence of the dimentions of e, viz. 
gr.'/2 eme sec.—1 (in electrostatic units), J 3? properly gets the dimensions of 
an energy. 
