DOC.
2
29
Equation (1)
then
becomes [15]
(1')
v e
+
v e
/7?i ffl2
vBe"

0
. 5
s
Of
the
equations
(2), the
first
and
the third
remain
unchanged,
and
the
second and
the
fourth
yield,
by
addition,
d
vs Tz
'
dv
RT
dz
s
* ,,
F
"
esV
Tz
dv
i
Tt
If the derivatives
with
respect
to
time
are
eliminated
by
means
of
equation
(1')
from
the
equations
(2)
thus modified,
one
obtains,
as
pre
viously,
an
expression
for
dx,
that is
a
total differential.
Integrating,
one
gets
J2 J1
"
RT
v

v
%
mi
~T!~ vm
e2

vm
6
e?
v.. v
mi
1
lg
m2
ez
v if
+
ezv
v
m9
m9 m9
s s s
+
c2v
v
m1 m1
s s s
where the
numerical indices
now
refer
to
the
integration
limits.
Due to
the
relations
e v

e v
=
e v
,
mi
mx
s s
m2
m2
we
obtain
even more
simply
T,
*1
=
RT
v v
m2
%
%
e v
+
e v
m2 m2
5 s
T"
v
e2

v
ex
+ e
_vs
s
In conclusion, I feel the
need to
apologize
for
outlining
here
a
skimpy
plan
for
a
laborious
investigation
without
contributing
anything
to
its
experimental
solution; but
I
am
not
in the
position to
do
so.
All the
same,
this
work
will
have
achieved its
goal
if
it motivates
a
researcher
to
tackle
the
problem
of molecular forces from this direction.
Bern,
April
1902.
(Received
on
30 April
1902)
[16]