What is Blackbody radiation: Definition and 113 Discussions

Black-body radiation is the thermal electromagnetic radiation within or surrounding a body in thermodynamic equilibrium with its environment, emitted by a black body (an idealized opaque, non-reflective body). It has a specific spectrum of wavelengths, inversely related to intensity that depend only on the body's temperature, which is assumed for the sake of calculations and theory to be uniform and constant.The thermal radiation spontaneously emitted by many ordinary objects can be approximated as black-body radiation. A perfectly insulated enclosure that is in thermal equilibrium internally contains black-body radiation and will emit it through a hole made in its wall, provided the hole is small enough to have a negligible effect upon the equilibrium.
In a dark room, a black body at room temperature appears black because most of the energy it radiates is in the infrared spectrum and cannot be perceived by the human eye. Since the human eye cannot perceive light waves below the visible frequency, a black body at the lowest just faintly visible temperature subjectively appears grey, even though its objective physical spectrum peak is in the infrared range. The human eye essentially does not perceive color at low light levels. When the object becomes a little hotter, it appears dull red. As its temperature increases further it becomes bright red, orange, yellow, white, and ultimately blue-white.
Although planets and stars are neither in thermal equilibrium with their surroundings nor perfect black bodies, black-body radiation is used as a first approximation for the energy they emit. Black holes are near-perfect black bodies, in the sense that they absorb all the radiation that falls on them. It has been proposed that they emit black-body radiation (called Hawking radiation), with a temperature that depends on the mass of the black hole.The term black body was introduced by Gustav Kirchhoff in 1860. Black-body radiation is also called thermal radiation, cavity radiation, complete radiation or temperature radiation.

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  1. B

    Blackbody Radiation: Explaining Integer Frequencies

    I guess this is supposed to be here... I dunno. Anyhoo, I understand this concept intuitively, but why do frequencies have to have integer values? Is that true of all waves, or just electromagnetic waves? Could a wave have 33.43 Hz, for example? :cry: Please explain!
  2. U

    Blackbody Radiation and the Incandescent Light Globe

    Hi. I am wondering how well the filament in an incandescent light globe follows the basic shape of the classic blackbody temperature/spectrum curves. The reason I ask is that I just set a small science project for a student to measure the voltage and current of a small torch globe (4.8V 0.75A...
  3. P

    Derivation of Plank's Equation on Blackbody Radiation: Standing Waves Explained

    In the derivation of plank's equation on blackbody radiation, the radiation within the cavity must form standing waves and thus each frequency has a certain number of possible modes. However, I have no idea why the radiation has to form standing waves. Why does the electric field have to be...
  4. S

    Blackbody radiation - stat mech

    we have a hollow cubical box with sides of length a with perfectly conducting walls, such that the electric field tangential to the surfaces of the walls must be zero. we need to show that the system of standing waves: Ex = Ax*cos(Kx*x)*sin(Ky*y)*sin(Kz*z)*exp(iwt) Ey =...
  5. U

    Blackbody radiation formula

    I am to show Planck's blackbody radiation formula without the stimulated emission: level n is the upper energy level, level m is the lower energy level: N_m B u(\lambda,T)=N_n A \frac{N_n}{N_m}=\frac{B u(\lambda,T)}{A} N_n=ce^{-E_n /kT} N_m=ce^{-E_m /kT} \frac{N_n}{N_m}=e^{-h...
  6. S

    Managing Blackbody Radiation in Magnetic Confinement Fusion

    Even by taking low numbers for the surface area and emissivity of the plasma, the radiation would be extremely high due to high temepreatures in magnetic confinement fusion. So how is blackbody radiation countered in magnetic confinement?
  7. L

    Entropy of blackbody radiation

    Can someone point out any information (derivation or where it comes from) about this equation: S = v\int_0^\infty\phi(\rho,\nu)d\nu \nu is frequency of radiation. \rho(\nu) is radiation energy, v is volume. I'm getting this from Einstein's photoelectric effect paper. Thanks a lot!
  8. L

    Blackbody radiation and stefans constant

    What is the rate of energy radiation per unit area of a blackbody at a temperature of 260K ? Where's the tricky part in this question? Surely the answer to this question can't be just stefans constant * T^4 ie. 5.67x10^-8 * 260^4 = 259.105 W/m^2
  9. tony873004

    Blackbody Radiation: Temperature of Accreted Gas

    This is actually a homework question, but its probably better suited for this forum. Gas accreting onto burned-out stars like white dwarfs, neutron stars, and black holes can often be seen in the X-ray part of the EM spectrum, at energies of about 10 keV. What temperature does this suggest...
  10. N

    How Does Planck's Law Simplify for High Frequencies?

    Can someone help me with this please? B(f) = [(2hf^3)/c^2]{1/[exp (hf/kT) - 1]} - Planck law in terms of frequency. "Derive expressions for B(f) for the cases i. hf << kT, ii. hf >> kT". I've done the first bit, that's just using a Taylor expansion. The second bit is where I'm stuck. In...
  11. U

    Blackbody Radiation: An Overview

    Sorry if my physics isn't so good. I only go to High school. Anywayz here is what i understand about blackbody radiation. A blackbody is an object that completely absorbs all the radiation of any wavelength. right. Then blackbody radiation means that a blackbody emitting radiation. Here is what...
  12. G

    Derive a formula for blackbody radiation

    when we derive a formula for blackbody radiation, we say that each electromagnetic mode has energy nhf, n is an integer, h is Planck's constant f is the frequency of the radiation. We interpret n as the number of photons per mode. However, a deeper QM analysis involves replacing the...
  13. M

    Questioning EM Waves, Synchrotron Emission & Blackbody Radiation

    I'm reading an astronomy textbook, and I'm not sure about some things. The textbook says the EM waves are caused by accelerating charges. I don't understand how this is. I'm not sure, but my memory and intuition tells me that only charges moving in a sinuosidal (can never spell it) manner...
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