Neither of them give us any information, however, {51} about the actual
distribution of energy at any one temperature from which we may
calculate that at any other temperature. For that, some relation must
be found between the energy and the wave-length. Planck, by reasoning
founded on the electromagnetic character of the waves, derived such a
relation, but both his reasoning and his results are a little too
complicated to be introduced here. His results have been confirmed in
the most striking manner by experiments carried out by Rubens and
Kurlbaum (_Ann. der Physik_, 4, p. 649, 1901). They measured the
energy in a particular wave-length (.0051 cms., _i.e._ nearly 100 times
the wave-length of red light) in the radiation of a full radiator from
a temperature of 85° up to 1773° absolute, and their results are given
in the following table:
Absolute Temperature. Observed Energy. Energy calculated from
Planck's Formula.
85 -20.6 -21.9
193 -11.8 -12
293 0 0
523 +31 +30.4
773 64.6 63.8
1023 98.1 97.2
1273 132 132
1523 164 160
1773 196 200
We have therefore the means of calculating both the total quantity and
the kind of radiation given out by any full radiator at any
temperature, and a number of very interesting problems may be solved by
means of the results.
{52}
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