HEAT & THERMODYNAMICS
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    blackbody

    blackbody
    Approximation to a blackbody. Image credit: NASA
    blackbody radiation
    Variation in blackbody curves with temperature. Image credit: ESA
    A theoretical object that is both a perfect absorber and a perfect radiator of electromagnetic radiation. A blackbody absorbs all the radiation that falls on it, converts it into internal energy (heat), and then re-radiates this energy into the surroundings. The re-radiated thermal energy, known as blackbody radiation, has a continuous spectrum governed solely by the body’s temperature. For any given temperature, there is a specific wavelength at which radiation emission is greatest.

    The effective temperature (Te), or blackbody temperature, is the surface temperature that a star, or other object, would have if it were a blackbody that radiated the same amount of energy per unit area. This is a useful and widely employed measure of stellar surface temperature. Te can be calculated from the Stefan-Boltzmann law, which states that the total energy radiated by a blackbody varies as the fourth power of its absolute temperature. This law leads to the formula:
    L = 4σR2Te4

    where L is the luminosity of the body, R is its radius, and σ (= 5.67 × 10-8 W/m2/K4) is the Stefan-Boltzmann constant. Substituting solar values for L and R gives a value for the effective temperature of the Sun of about 5,780 K.


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