WOLFRAM|DEMONSTRATIONS PROJECT

Spectral Distribution of Total Energy Emitted by a Black Body versus Temperature

​
temperature in Kelvin
1000
λ
max
= 2.90×10
-6
m
E
B
= 56.76×10
3
W/m
2
0.000000
2.×10
-6
4.×10
-6
6.×10
-6
8.×10
-6
0.000010
0.000012
1
1000
10
6
10
9
10
12
wavelength
monochromatic emissive power
Power
:Infinite expression
1
0.
encountered.
Infinity
:Indeterminate expression 
ComplexInfinity
encountered.
Power
:Infinite expression
1
0.
5
encountered.

This Demonstration plots the monochromatic emissive power of a black body in
W/m
3
at user-set values of the temperature (blue curve). The locus of the maximum values of the monochromatic emissive power (red curve) is given by Wien's displacement law:

λ
max
T=2.89810
-3
mK
.

The Demonstration also displays the value of
λ
max
as well as the total emissive power,
E
B
(expressed in
W/m
2
), which is given by the Stefan–Boltzmann law:

E
B
=σT
4
, where
σ=5.676×10
-8
W/m
2
K
4
.