DOC.
5
SUPPLEMENT TO DOC.
2
123
Z
=
n
t
A WpW
+
A
2
(i)
+
PÖ
(i)
=
n
l
'
n(2)
A
(D
+
A +
P^
•••
(1)
or, finally,
in
a
more
abbreviated
form,
(1b)
Z
=
A
(1)p(1)n1,
where
A(1)* depends only
on
T
(the
temperature
of the
mixture).
Using
(1b)
and
(2)
from the first
paper,
one
obtains,
instead of
equation
(3),
p.
835,
the
corresponding equation
[7]
n2 n3
(3a)
V V
n
l
V2V3
n1
p0,
A'
H
If this
equation,
as
well
as (5),
is
satisfied,
then
"extraordinary" thermodynamic
equilibrium
obtains.
If
we
have
a case
of
extraordinary thermodynamic equilibrium
before
us,
then
we
will have
to
view
as
admissible
a
virtual
change
of the
system
in which
one gram–
molecule
of
the first
molecular kind in the mixture
is
decomposed
under
absorption
of the
energy NE(1)
from the radiation
of
the
first
elementary
range
in such
a
way
that
the
quantities
of
energy
from the other
elementary
radiation
ranges
remain
unchanged.
In this virtual
change
the condition
must
be satisfied that
öStotal
=
0, as
in the
first–
considered
case,
where radiation of
only
a
single elementary range
was
to
be
photochemically
active.2
[8]
The mathematical
procedure
is
exactly
the
same as
the
one
given
in the
paper
for
the monochromatic
case,
with the
only
difference that the
quantities referring
to
the
radiation
are
to
be referred
to
the first
elementary range. Specifically,
we
obtain,
instead of
(5),
the
equation
(5a) e(D
=
AvU.
Thus,
it
follows from the outlined
arguments
that
the
energy
absorbed
per
molecular
decomposition
does not
depend on
the
proper
frequency
of
the
absorbing
molecule but
on
the
frequency
of the radiation that
brings
about the
decomposition.
But if this
were
not to
prove
true
for
(5a),
then
one
would have
to conclude,
in
my
2This method would
only
then
be inadmissible
if
the
elementary
laws
of
absorption
and
emission
were so
constituted that the
absorption or
emission
of
radiation
of
one frequency
were necessarily
connected with the
absorption or
emission
of
other
frequencies.