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Old 28-August-2006, 01:11 AM
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Originally Posted by trinitree88
Your question is a bit tricky for me. I don't know that directly. A black body curve is not quite the same shape as a maxwellian distribution of velocities, and the root equations are not identical, so they're only similar curves by inspection.
Hmmmm... I hadn't meant "up and down" to apply to electron velocities but it is an interesting thought.

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Since line spectra from atoms undergoing recombination can shift both up, and down, the stellar spectra exhibit broadening of these lines, then, when the photons pass through the outer regions of the "cooler" stellar atmospheres, some photons can be reabsorbed, causing dark line spectra.
Is the broadening greater with greater tempuratures, up to a point, I suppose?

It would be interesting to see someone do a portrayal of the random walk of a single progenitor gamma ray as it starts in the core of the sun and travels to the surface, passing through the various shells, resulting in its more than 5 thousand colorful offspring.
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Old 28-August-2006, 01:15 AM
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There are only three reasons that the Planck function and the Maxwellian distribution are different. One is in the way they fill in energy states, which is different partly because photons are relativistic and a Maxwellian is not. The second is in the fact that you generally have a fixed number of electrons that are sharing the energy, whereas photons appear and disappear permanently, in respose to the temperature. Finally, electrons are "fermions" and photons are "bosons", which means you can only put one electron in one state, but any number of photons. Put together, those three effects are the only differences, otherwise it's all just counting the states available at any total energy. Detailed mechanisms don't matter at all, given enough time-- that's the beauty of thermodynamics in a nutshell.
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Old 28-August-2006, 12:30 PM
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It would just be a guess, but wouldn't the two distributrion curves (Planck and Maxwellian) be similar, nevertheless?
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Lighten up! This is a stellar board! Author: duh.

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Old 28-August-2006, 09:53 PM
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It would just be a guess, but wouldn't the two distributrion curves (Planck and Maxwellian) be similar, nevertheless?
Only where e(h nu)/(kBT) >> 1.
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Old 28-August-2006, 10:28 PM
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Originally Posted by George View Post
Hmmmm... I hadn't meant "up and down" to apply to electron velocities but it is an interesting thought.

Is the broadening greater with greater tempuratures, up to a point, I suppose?

It would be interesting to see someone do a portrayal of the random walk of a single progenitor gamma ray as it starts in the core of the sun and travels to the surface, passing through the various shells, resulting in its more than 5 thousand colorful offspring.


George. Yes, the Doppler broadening increases with temperature. I was taking a tour of MIT's plasma fusion center, and somebody asked the guide what kind of "thermometer" they used...as a joke...to measure the plasma temperature. A short discourse on lines becoming bands ensued...interesting. Pete.
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Old 29-August-2006, 02:57 AM
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George. Yes, the Doppler broadening increases with temperature. I was taking a tour of MIT's plasma fusion center, and somebody asked the guide what kind of "thermometer" they used...as a joke...to measure the plasma temperature. A short discourse on lines becoming bands ensued...interesting. Pete.
That is pretty interesting and indicative of the complexity of those things. Too bad the surrounding air doesn't just glow blue as an indication of strength.
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Lighten up! This is a stellar board! Author: duh.

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