If the temperature of blackbody radiation increases to more than 525 °C (977 °F), the
source begins to be visible so that it appears to the eye no longer black. This is the
incipient red heat temperature of the radiator, which then becomes orange or yellow
as the temperature increases further. In fact, the definition of the so-called
color
temperature
of an object is the temperature to which a blackbody would have to be
heated to have the same appearance.
Now consider three expressions that describe the radiation emitted from a blackbody.
14.3.1
Planck’s law
10399203;a1
Figure 14.3 Max Planck (1858–1947)
Max Planck
(1858–1947) was able to describe the spectral distribution of the radiation
from a blackbody by means of the following formula:
where:
Blackbody spectral radiant emittance at wavelength λ.
W
λb
Velocity of light = 3 × 10
8
m/s
c
Planck’s constant = 6.6 × 10
-34
Joule sec.
h
Boltzmann’s constant = 1.4 × 10
-23
Joule/K.
k
Absolute temperature (K) of a blackbody.
T
Wavelength (μm).
λ
NOTE: The factor 10
-6
is used since spectral emittance in the curves is expressed in Watt/m
2
m. If the
factor is excluded, the dimension will be Watt/m
2
μm.
58
Publ. No. 1 557 544 Rev. a121 – ENGLISH (EN) – October 6, 2005
14.3 – Blackbody radiation
Содержание 614004898
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