What are the units for spectral energy density according to the Planck Law?

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SUMMARY

The spectral energy density according to the Planck Law is expressed in units of eV·s/m³ or J·s/m³, which represent energy density per frequency and space. To derive the total spatial energy density, one must integrate the spectral energy density over the entire frequency range from 0 to infinity. This integration is crucial for understanding the total energy density in a given volume.

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  • Understanding of Planck's Law and its implications in physics
  • Familiarity with units of measurement in physics, specifically energy density
  • Knowledge of integration techniques in calculus
  • Basic concepts of spectral analysis in physics
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Fr34k
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I will just paste the link, cause its faster this way:

http://scienceworld.wolfram.com/physics/PlanckLaw.html

The last equation for spectral energy density if you look at the units you get eVs/m^3 or Js/m^3, yet energy density is supposed to be J/m^3. What am I missing here?
 
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It is a density per frequency (and space). To get the total (spatial) energy density, you have to integrate over the whole frequency range (0 to infinity).
 

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