H freeman and company st 2c k bt 4 planck spectrum

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Unformatted text preview: 911 Black- Body Radia0on ©2008 by W.H. Freeman and Company Rayleigh- Jeans Law • 1900 ©2008 by W.H. Freeman and Company ST ( λ ) = 2c k BT λ4 Planck Spectrum • Max Planck • 1900 ⎤ ε ⎛ c ⎞ ⎛ 8π ⎞ ⎡ R (λ ) = ⎜ ⎟ ⎜ 4 ⎟ ⎢ ⎝ 4 ⎠ ⎝ λ ⎠ ⎣ exp ( ε / kBT ) − 1 ⎥ ⎦ ε= h = 6.64x10- 34 Js ©2008 by W.H. Freeman and Company hc λ Long- Wavelength Expansion ⎤ ε ⎛ c ⎞ ⎛ 8π ⎞ ⎡ R (λ ) = ⎜ ⎟ ⎜ 4 ⎟ ⎢ ⎝ 4 ⎠ ⎝ λ ⎠ ⎣ exp ( ε / kBT ) − 1 ⎥ ⎦ ε= hc λ exp ( hc / λ kBT ) − 1 ≈ 1 + hc / λ kBT − 1 = hc / λ kBT ⎛ c ⎞ ⎛ 8π ⎞ ⎡ hc λ kBT ⎤ ⎛ c ⎞ ...
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This document was uploaded on 01/29/2014.

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