224
THEORY OF
SPECIFIC
HEAT
the
x
corresponding to
c can
be
taken
directly
from
the
curve, and
X
is
then calculated
from
the relation
(TL/ßX)
=
x.
I
am
using
the
experimental
results of
H.
F. Weber,
which I
took
from
[32]
the tables of Landolt
and
Börnstein (cf. the
following
table).
For
T
=
331.3
we
have
c
=
1.838;
according to
the
theory
described,
from
this
it
follows
that
A =
11.0
U.
Based
on
this value, those in the table's third
column
are
calculated
according to
the formula
x
=
(TL/ßX), (ß
=
4.86-10-11).
T c x
222.4
0.762 0.1679
262.4
1.146 0.1980
283.7 1.354
0.2141
306.4
1.582 0.2312
331.3
1.838 0.2500
358.5 2.118 0.2705
413.0
2.661 0.3117
479.2 3.280 0.3615
520.0 3.631 0.3924
879.7 5.290 0.6638
1079.7
5.387 0.8147
1258.0 5.507 0.9493
[33]
The
points,
whose
abscissas
are
these values
of
x
and whose
ordinates
are
the values
of
c as
obtained
experimentally
from Weber's
observations
and
listed in the
table,
should lie
on
the
x,c-curve
shown above.
We
plotted
these
points-indicated
by
circles-in the
above figure;
in
fact,
they do
almost lie
on
the
curve.
Hence
we
have to
assume
that the
elementary
carriers
of
heat in
diamond
are
almost
monochromatic structures.
Thus, according to
the
theory
it is
to
be
expected
that
diamond
shows
an
[34]
absorption
maximum
at
X =
11
u.
Bern, November
1906.
(Received
on
9 November
1906)