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Black body radiation

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nonameladyofsins

PostPosted: Sat Jun 03, 2006 12:52 pm


ok so I've read this passage, over and over again... but I'm still really confused. What is a black body? and what is black body radiation? And how does this lead to the idea that things are quantized? I can probably find the passage come monday since I'll be going down to the faculty anyway, it's in a book called "In Search of Shroedinger's Cat".
PostPosted: Sun Jun 04, 2006 4:53 am


A black body is an object that absorbs all radiation that hits it. None is reflected or passes through.
It then reradiates all this radiation, and that radiation is called black body radiation.

Basically, the short answer, according to my knowledge:
According to classical physics, a black body should radiate infinite amounts of energy. This was clearly not the case.
To solve this, Planck came along and came up with his new theory that fit the observations. Part of the theory required that the energy was quantized.
Einstein then came along later and expanded out from there, to say that electromagnetic radiation is quantized.

*edit*Here's a description of the UV catastrophe, which explains why as frequency increases, E->∞
http://en.wikipedia.org/wiki/Ultraviolet_catastrophe *

Dave the lost


yoyoman1_7

PostPosted: Sun Jun 04, 2006 10:21 am


Just a side question: Is Black Body something that actually exists? Or is it a theoretical object?
PostPosted: Sun Jun 04, 2006 11:11 am


yoyoman1_7
Just a side question: Is Black Body something that actually exists? Or is it a theoretical object?


From my understanding, a completely black cloth that absorbs all sunlight and radiates off heat is a black body.


But, I have no authority on the subject. It's just what I gathered from that's been posted.

AirisMagik


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PostPosted: Sun Jun 04, 2006 12:03 pm


yoyoman1_7
Just a side question: Is Black Body something that actually exists? Or is it a theoretical object?

A perfect blackbody is a spherical cow.
PostPosted: Sun Jun 04, 2006 1:58 pm


A Lost Iguana
yoyoman1_7
Just a side question: Is Black Body something that actually exists? Or is it a theoretical object?

A perfect blackbody is a spherical cow.


what... ninja so what you're saying is that a perfect blackbody does not exist, but certain non-luminous black objects come pretty close. Still, does this mean that a black cloth sends off black body radiation?

Dave the lost

A black body is an object that absorbs all radiation that hits it. None is reflected or passes through.
It then reradiates all this radiation, and that radiation is called black body radiation.


does this include all EM radiation? in what manner does it re-radiate the radiation? What are the characteristics of black body radiation?

nonameladyofsins


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PostPosted: Sun Jun 04, 2006 2:30 pm


poweroutage
A Lost Iguana
yoyoman1_7
Just a side question: Is Black Body something that actually exists? Or is it a theoretical object?

A perfect black body is a spherical cow.

what... ninja so what you're saying is that a perfect black body does not exist, but certain non-luminous black objects come pretty close. Still, does this mean that a black cloth sends off black body radiation?

A perfect black body is assumed to simplify things, a bit like the old spherical cow joke. I don't know of anything that is a perfect black body. That said, black bodies do exist to various degrees. Anything that can be modelled as a black body [to a good approximation] has a temperature-wavelength relationship as shown below.

They are not always "black" because they can give off radiation in the optical region. Stars are modelled [albeit poorly] as black bodies, for example.

poweroutage
does this include all EM radiation? in what manner does it re-radiate the radiation? What are the characteristics of black body radiation?

User Image - Blocked by "Display Image" Settings. Click to show.
The peak of the graph is given by Wiens Law which relates the temperature of the blackbody to the peak wavelength/frequency of light emitted.

Edits: Oh, you need the quantized nature otherwise the spectrum should be the dashed line, the "Ultraviolet catastophe" already mentioned. Quantizing the light gives the more accurate model of the radiation.
PostPosted: Mon Jun 05, 2006 4:48 pm


A Lost Iguana
A perfect black body is assumed to simplify things, a bit like the old spherical cow joke. I don't know of anything that is a perfect black body.

Appropriately enough, the Hawking effect would make black holes into perfect black bodies. Additionally, Rindler (acceleration) horizons in Minkowski spacetime are black bodies.

A Lost Iguana
They are not always "black" because they can give off radiation in the optical region. Stars are modelled [albeit poorly] as black bodies, for example.

It's a very good approximation post-Wien-peak, but low frequencies aren't too impressive.

poweroutage
does this include all EM radiation? in what manner does it re-radiate the radiation? What are the characteristics of black body radiation?

If quantum effects are included, it certainly is not limited to EM radiation. Particles should be related by their Compton wavelength, but I need to check the exact relationship here.

VorpalNeko
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Morberticus

PostPosted: Wed Mar 07, 2007 6:11 am


poweroutage
ok so I've read this passage, over and over again... but I'm still really confused. What is a black body? and what is black body radiation? And how does this lead to the idea that things are quantized? I can probably find the passage come monday since I'll be going down to the faculty anyway, it's in a book called "In Search of Shroedinger's Cat".


Firstly, everything behaves like a black body to some degree.

A black body, as it's name suggests, absorbs all light (electromagnetic waves) that shines on it. No reflection takes place at all. As a result, the body heats up and re-emits the energy as electromagnetic waves. A black body is a body that absorbs all light incident upon it and re-emits it.

But here's the thing. A black body is supposed to emit the light at all wavelengths available to it. According to classical mechanics, there are an infinite amount of possible wavelengths (for every wavelength, there would be a wavelength of half, or quarter, or 1/8th, or 1/38276th its length, an infinite amount of wavelengths) , so they should technically be emitting an infinite amount energy.

When you turn on a lightbulb, it's pretty obvious that it doesn't emit an infinite amount of light, so there's obviously something wrong with classical mechancis. Enter quantisation, which restricts the wavelengths to discrete values, so you no longer have to worry about an infinite number of possible wavelengths.
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High Energy and Quantum Physics

 
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