The Stefan-Boltzmann
Radiation Law

The behavior of blackbody radiation is described by the Planck Law, but we can derive from the Planck Law two other radiation laws that are very useful: the Wien Displacement Law and the Stefan-Boltzmann Law. The Stefan-Boltzmann Law is illustrated in the following equation.

The Stefan-Boltzmann Law gives the total energy being emitted at all wavelengths by the blackbody (which is the area under the Planck Law curve). Thus, the Stefan-Boltzmann Law explains the growth in the height of the curve as the temperature increases. Notice that this growth is very abrupt, since it varies as the fourth power of the temperature.