Is 300eV the Correct Mean Photon Energy for a Black Body at 1 Million K?

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Discussion Overview

The discussion revolves around the mean photon energy of a black body at a temperature of 1 million K, specifically questioning whether it is approximately 300 eV. Participants also explore the comparison of this energy to that of solar radiation and the corresponding wavelengths of the emitted spectra.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant calculates that the mean photon energy for a black body at 1 million K is approximately 300 eV and seeks confirmation.
  • Another participant inquires about the calculations for the Sun's spectrum.
  • A participant suggests that the solar radiation spectrum resembles that of a black body at around 5,800 K, estimating its mean photon energy to be approximately 1.74 eV.
  • It is noted that 300 eV photons correspond to a shorter wavelength than 1.74 eV photons, though no calculations are provided to support this.
  • Participants agree that the peak wavelength of the black body spectrum at 1 million K is much shorter than that of the Sun.

Areas of Agreement / Disagreement

Participants generally agree that the mean photon energy of a black body at 1 million K is significantly higher than that of the Sun, leading to shorter wavelengths. However, the discussion does not reach a consensus on the exact calculations or values presented.

Contextual Notes

Some assumptions regarding the calculations of mean photon energies and peak wavelengths are not explicitly stated, and the discussion does not resolve the mathematical details involved in these estimations.

Who May Find This Useful

This discussion may be of interest to those studying black body radiation, astrophysics, or anyone curious about the properties of electromagnetic radiation at high temperatures.

Orion78
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I have calculate that the mean approximate photon energy of a black-body spectrum which is emitted by an object at a temperature of 1 million K is 300eV. Can somebody confirm me that? My second doubt is: the wavelength at which this spectrum reaches a peak corresponds to a "longer" or to a "shorter" wavelength than that of the black-body spectrum emitted by the sun?
Many thanks
 
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What do your calculations show for the Sun?
 
I did not do any calculation about the sun but think that the spectrum of solar radiation is close to that of a black body with a temperature of circa 5,800 K and so the mean approximate photon energy is 1.74eV. If that so, are the wavelength at which this spectrum of the object at at a temperature of 1 million K that reaches a peak corresponds to a much shorter wavelength than that of the black-body spectrum emitted by the sun?
 
300eV-photons have a shorter wavelength than 1.74eV-photons.
The numbers are in a region where I would expect them, but I did not calculate them.
 
Yes, the peak is a much shorter wavelength than the Sun emits. Do you know much about EM radiation and black body radiation?
 
Thanks. yes, now I have all the info I needed.
 

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