284
DOC. 380
APRIL
1912
Hence
this
yields
for
(8a)
W.
Wien:
F(T,
p)
P
A
e
hv
a(T)
.
G(T,
p)
yv3
(8b)
Planck:
F(T,p) /
a(T)
.
G(T,
p)
P
hv
p+yv3
(8c) Rayleigh-Jeans:
F(T,
p)
a(T)
.
G(T,
p)
=
e
e
yv
hv
p
[for large p!]
=
1-
e
yv
hv
p
für
große
p!
Or
(9a)
F
P
a
G
yv
V
Wien
(9b)
=
P
p
+yv3
v
Planck
yv
=
e (9c)
Rayleigh-Jeans
if
one assumes
that
From
eq. (7)
one sees
immediately
that
for
Ts
=
oo we
must
have
F(T,PTs
=
oo)
G
(T,
pTs
=
oo)
=
a
and if
p
PTs
=
oo
itself
becomes oo,
we
thus
must
have:
lim=
a
P
= oo
G(T,p)
(10)
You
assume
that
the
association
rate
is
independent
of
p.
Then
we
must
have
directly:
lim
F(T,p)
=
finite
p
=
oo (A)
(A)