Abstract: Considering relativistic effect, by using quantum statistics, the radiation formulas of two types of particles, consisting of Planck black-body radiation formula, are obtained, which satisfy Bose-Einstein statistics and Fermi-Dirac statistics respectively. It is found that the radiation spectrum is not only relative to the radiation temperature of black-body, but also to the energy and the chemical potential and the kinds of particles, The radiation strength is relative to the rest mass and the energy of particles, and the degeneration factor.

Key words: black-body radiation, radiation spectrum, radiation strength, density of states, degeneration factor