Spectrum of the Sun vs black body

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Discussion Overview

The discussion centers around the comparison of the Sun's emission spectrum to that of a black body at a temperature of approximately 5700K. Participants explore the implications of the Sun's irradiance being greater than that of a black body, questioning the concept of emissivity and the nature of the Sun's spectrum.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that the Sun's irradiance appears greater than that of a black body at 5700K, suggesting a possible emissivity greater than 1, which they find confusing.
  • Another participant proposes that the Sun's emission spectrum is more complex than simple blackbody radiation.
  • A later reply emphasizes that the Sun is not a black body, indicating that the 5700K figure is derived from a single-parameter fit and does not imply that the Sun behaves like a black body across all wavelengths.
  • One participant expresses confusion about the implications of considering the Sun as a gray body, questioning whether its irradiance should be less than that of a black body at the same temperature.

Areas of Agreement / Disagreement

Participants generally agree that the Sun is not a perfect black body and that its spectrum is more complex. However, there remains uncertainty regarding the implications of this complexity on the irradiance comparison and the interpretation of the spectrum graph.

Contextual Notes

Participants mention that the 5700K temperature is based on a fit to the spectrum, which may not accurately represent the Sun's behavior at all wavelengths. There are unresolved questions about the nature of the Sun's emissivity and how it relates to its spectral characteristics.

fluidistic
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In wikipedia I've read that the Sun's surface temperature is about 5700K.
The emission spectrum graph can be seen there: http://en.wikipedia.org/wiki/File:EffectiveTemperature_300dpi_e.png.
I don't understand why the irradiance (or intensity I guess) of the Sun is greater than the one of a black body at 5700K. This would imply that the emissivity of the Sun is greater than 1, which is impossible. What am I missing?
 
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Must be that the Sun's emission spectrum has more going on than just blackbody radiation.
 
fluidistic said:
In wikipedia I've read that the Sun's surface temperature is about 5700K.
The emission spectrum graph can be seen there: http://en.wikipedia.org/wiki/File:EffectiveTemperature_300dpi_e.png.
I don't understand why the irradiance (or intensity I guess) of the Sun is greater than the one of a black body at 5700K. This would imply that the emissivity of the Sun is greater than 1, which is impossible. What am I missing?

It's just that the sun is not a blackbody. In other portions of the same curve, the ratio is less than 1. The 5700 number comes from a single-parameter fit to the actual spectrum, and does not mean that the sun really is a blackbody with a temperature of 5700K. At short wavelengths especially, it looks nothing like a blackbody.
 
JeffKoch said:
It's just that the sun is not a blackbody. In other portions of the same curve, the ratio is less than 1. The 5700 number comes from a single-parameter fit to the actual spectrum, and does not mean that the sun really is a blackbody with a temperature of 5700K. At short wavelengths especially, it looks nothing like a blackbody.

I understand. But the Sun's surface is at 5700K, right? If I consider the Sun as a gray body then I should expect its irradiance to be lesser than the one of a blackbody at the same temperature, for all wavelengths. Am I right on this? If so, I still have trouble understanding the graph.
 

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