282
DOC. 380
APRIL
1912
If
for
the
rest
one
retains
all
of
your
assumptions, one
obtains the
following
result:[7]
NE
lg
Trrlg
11
=_
RT.
for
small
i;
this
equation
becomes:
A'
a
-
Ne
RT.
which,
on
account
of
proportionality
of
i;
and
p, agrees
with
your
result
Thus,
s
=
hv,
A
'a
=
ft
=
indep.
of
T
and
Hence,
for
large
values
of
Ts
one
has
Ate
hv
lg
i
-
ß+ß
Q
+
Q
RTS-
%
=
kT.
^~W?w
hv
Q
lg
[
1
-
w] -w
which is
obviously
absolute
nonsense.
I.
It
would
nevertheless be
interesting to
establish
by
what
reasonable
modifications
of
your
initial
posits one
could free
oneself
from
Wien's
radiation
law.-
We shall
retain
a
part
of
your assumptions unchanged
not
because
we
view
them
as
physically
evident,
but because
nothing
more
whatsoever
can
be
calculated without
them.
Retained
assumptions:
1)
Molecules
independent
of
each
other.
2)
Dissociation
energy
e
independent
of
T and
Ts
3) Only
v-radiation
effective.
4)
Entire
e
converted
to
v-rad.
during
association.
In this
case,
the
whole
thermodynamic
half
remains
unchanged:
Ne
^3
~w,
Tij
tte
Modification
of
the "kinetic
half."
(1)