Black body

In contrast, a white body is one with a "rough surface that reflects all incident rays completely and uniformly in all directions.

"[1] A black body in thermal equilibrium (that is, at a constant temperature) emits electromagnetic black-body radiation.

The radiation is emitted according to Planck's law, meaning that it has a spectrum that is determined by the temperature alone (see figure at right), not by the body's shape or composition.

[8]A more modern definition drops the reference to "infinitely small thicknesses":[9] An ideal body is now defined, called a blackbody.

A widely used model of a black surface is a small hole in a cavity with walls that are opaque to radiation.

[13] Typically, equilibrium is reached by continual absorption and emission of radiation by material in the cavity or its walls.

[14][15][16][17] Radiation entering the cavity will be "thermalized" by this mechanism: the energy will be redistributed until the ensemble of photons achieves a Planck distribution.

A body's behavior with regard to thermal radiation is characterized by its transmission τ, absorption α, and reflection ρ.

[22] A few idealized types of behavior are given particular names: An opaque body is one that transmits none of the radiation that reaches it, although some may be reflected.

A white body is one for which all incident radiation is reflected uniformly in all directions: τ = 0, α = 0, and ρ = 1.

[25] Kirchhoff in 1860 introduced the theoretical concept of a perfect black body with a completely absorbing surface layer of infinitely small thickness, but Planck noted some severe restrictions upon this idea.

As a perfect emitter of radiation, a hot material with black body behavior would create an efficient infrared heater, particularly in space or in a vacuum where convective heating is unavailable.

Nano-porous materials can achieve refractive indices nearly that of vacuum, in one case obtaining average reflectance of 0.045%.

[5][35] In 2009, a team of Japanese scientists created a material called nanoblack which is close to an ideal black body, based on vertically aligned single-walled carbon nanotubes.

[40] Combining the U (ultraviolet) and the B indices leads to the U-B index, which becomes more negative the hotter the star and the more the UV radiation.

Around a black hole there is a mathematically defined surface called an event horizon that marks the point of no return.

[51] The Big Bang theory is based upon the cosmological principle, which states that on large scales the Universe is homogeneous and isotropic.

The cosmic microwave background radiation observed today is "the most perfect black body ever measured in nature".

[52] It has a nearly ideal Planck spectrum at a temperature of about 2.7 K. It departs from the perfect isotropy of true black-body radiation by an observed anisotropy that varies with angle on the sky only to about one part in 100,000.

The integration of Planck's law over all frequencies provides the total energy per unit of time per unit of surface area radiated by a black body maintained at a temperature T, and is known as the Stefan–Boltzmann law: where σ is the Stefan–Boltzmann constant, σ ≈ 5.67×10−8 W⋅m−2⋅K−4‍[53] To remain in thermal equilibrium at constant temperature T, the black body must absorb or internally generate this amount of power P over the given area A.

A physical approximation of a black body radiator model constitutes of a heated pyrographite chamber and peripheral devices which ensure temperature stability.
A black body radiator used in CARLO laboratory in Poland. It is an approximation of a model described by Planck's law utilized as a spectral irradiance standard.
As the temperature of a black body decreases, its radiation intensity also decreases and its peak moves to longer wavelengths. Shown for comparison is the classical Rayleigh–Jeans law and its ultraviolet catastrophe .
An approximate realization of a black body as a tiny hole in an insulated enclosure
Diagram comparing the response curves of the red, green, and blue light receptors in human eyes against the approximate black body curves of a number of stars: Antares (a red supergiant ), the Sun (a yellow dwarf ), Sirius (a white main-sequence star ), Spica (a blue star), and Gamma Velorum .
An idealized view of the cross-section of a star. The photosphere contains photons of light nearly in thermal equilibrium, and some escape into space as near-black-body radiation.
Effective temperature of a black body compared with the B-V and U-B color index of main sequence and super giant stars in what is called a color-color diagram . [ 45 ]
Log-log graphs of peak emission wavelength and radiant exitance vs black-body temperature – red arrows show that 5780 K black bodies have 501 nm peak wavelength and 63.3 MW/m 2 ; radiant exitance