File:BlackbodyEnergies.png
BlackbodyEnergies.png (371 × 401 pixels, file size: 13 KB, MIME type: image/png)
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editDescriptionBlackbodyEnergies.png |
English: This shows how Planck's model predicts that oscillators with "photon" constrained-energies ε ≡ hν = hc/λ greater than kT get significantly frozen out of the blackbody mix, thus solving the ultraviolet catastrophe to which the Rayleigh-Jeans model gave birth. This freeze-out may be explained if (for whatever reason) "quantum oscillators" exist only in packets with energy/frequency & momentum/spatial-frequency linked by the constant h = E/ν = p/g = 2πL.
The dot-dashed lines show the (additive) fractional-contribution of one, two, three, and four photon excitations to the average energy per oscillator at frequency ν. As you can see, when hν>>kT the single-photon fraction dominates as the average energy-per-oscillator drops to zero i.e. finding one of them in the mix is unlikely and finding more than one is much much less likely. This compensates for the fact that with increasing frequency (also decreasing wavelength) the number of oscillators per unit frequency (or wavelength) interval is going through the roof. |
Date | |
Source | Own work |
Author | P. Fraundorf |
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current | 16:16, 8 October 2013 | 371 × 401 (13 KB) | Unitsphere (talk | contribs) | User created page with UploadWizard |
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