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
vradiation
effective.
4)
Entire
e
converted
to
vrad.
during
association.
In this
case,
the
whole
thermodynamic
half
remains
unchanged:
Ne
^3
~w,
Tij
tte
Modification
of
the "kinetic
half."
(1)