130
DOC. 26 THEORY OF TETRODE AND
SACKUR
For the transition
under
consideration,
formula
(4)
in combination with
(5a)
and
(5)8)
yields
S2-Sl
=
^
+
lg
0
8tc2/0
h
where
S
is the
entropy
and E the
energy
of the rotational movement
alone.
Thermodynamically one gets
0
2dE
cdE
0
*

J
f
Ji"ge
-
0
i
rdE
igei0
2
0
|
lg
Qdc
e,
©,
where
c
=
dE
,

is the rotation-related
specific
heat
of
the
molecule,
which increases
between the two states from 0 to
1.
The last
formula, therefore,
yields
52_5I
=
lg02-lg^,
where
@
is
a mean
value
of
the conversion
temperature
of
the
specific
heat,
defined
by
C = 1
lg©
=
J lg
Qdc
[p. 13]
a
value that can be taken from experience. Equating the two expressions for
S2
- S1
one obtains
c
=
0
0
=
(6)
h
8
nl
(7)
This
equation yields
the moment
of
inertia
of
the
hydrogen
molecule.
Additional
notes
by
translator
{1}
"pn"
has been corrected to
"dpn."
{2}
The
text
between
angular
braces
is
so
marked
in
the
original
in
order to
indicate that
it is
superseded by
the text
outside.
{3}
The corrective substitution
of
German words
by
editorial notes has been
translated and inserted in braces
{}
with the notation "recte."
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