Constant of radiation

In Physical, the constant of radiation is the quantity which intervenes in the formula giving the Densité of energy ρ of a radiation of black Body according to its Temperature T . The constant of radiation, often noted has , or sometimes σ _r , connects these two quantities according to the formula

$\backslash \; rho\; =\; has\; T^4$.

The constant of radiation is worth

$a\; =\; \backslash \; frac\; \{8\; \backslash \; pi^5\; k^4\}\; \{15\; h^3\; c^3\}$,

where C is the Speed of light, H the Constante of Planck and K the Boltzmann constant. Numerically, the constant of radiation is worth

$a\; =\; 7,\; \backslash !\; 5657\; \backslash \; times\; 10^\; \{-\; 16\}\; \backslash ;\; \{\backslash \; mathrm\; J\}\; \backslash ;\; \{\backslash \; mathrm\; m\}\; ^\; \{-\; 3\}\; \backslash ;\; \{\backslash \; mathrm\; K\}\; ^\; \{-\; 4\}$.

The constant of radiation which intervenes in the formula of the density of energy, is connected to the Constante of Stefan-Boltzmann σ , which intervenes in the formula of the luminous Flow of a black body, by the formula

$a\; =\; \backslash \; frac\; \{4\}\; \{C\}\; \backslash \; sigma$.

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