889 
of temperature cannot increase or decrease. Change of tempe- 
rature can only modify Z,, and consequently also £. Henceforth 
E—A may always be written for Z,. 
The work of the repulsive forces, which become active after the 
attractive forces in the above-indicated point o have ceased to act, 
has been left out of consideration in what precedes, because A is 
entirely unaffected by it. For the diminished kinetic energy is simply 
converted into a corresponding increase of the potential energy — 
now of the repulsive forces — which reaches its culminating point 
when u has become = 0 (culminating point of the collision). We 
have, therefore, only to do with the maximum work of the attractive 
forces. 
2. In the first paper it has been shown that the calculation of 
the time-average w,’ leads to the relation tes (6) on p. 1194) 
Mv Vl? + log (p + VL 7 Ze dees 
UW === U, 
9 6 
log (p + V1+ 9") \ B+ a 
This becomes after division of numerator as denominator by 
log (p + V1+ ¢’) bos 
(1 E Te) ‘i LEGE 
: log é 
Pig A 
LOT 
Hels 2 
Mmerwheh loc: eit): p= Lay The distance 6 —s’, during 
We m 
which the repulsive forces will act, follows from 
2f pase 2e 
u, + — (l—o)* — — (o—s')? =0, or ut (1+?) =— (os) 
m m 5 m 
ketel) 
U ZE Us 
at the culminating point of the collision. Hence we have for / —o 
and o—s': 
m ; a m Gs’ 4 a fi 
lco=u p era Os =u Vlg’ Le AE == Ken Y oe (d) 
» 
whereas for the times ¢, and f, is found: 
ee m t fl Gee fl 
t =loalp + WI ld Ee ale oet a Ce ols hd 
58 
Proceedings Royal Acad. Amsterdam. Vol. X XIII. 
