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Mar 29, 2015 at 17:48 history edited bernd CC BY-SA 3.0
link to wolfram alpha. the lines in the picture are too broad to match the result.
Mar 29, 2015 at 16:47 history edited bernd CC BY-SA 3.0
doppler broadening is not the only broadening; picture shows doppler broadening.
Mar 29, 2015 at 16:42 comment added zeldredge This is only part of the answer. Even using spectroscopy that eliminates the Doppler shift, there is an innate Lorentzian line spread.
Mar 29, 2015 at 16:38 comment added bernd Actually the final acceptance is governed by the energy-time uncertainty m0nhawk mentioned in his answer. But normally (in 19th century physics) you do not observe single atoms. When you take $10^{23}$ atoms , their velocities are not the same but distributed (Maxwell&Boltzmann distribution). So you have a good chance that some of your atoms actually match the doppler shifted light frequency. Since they move in different directions with different velocities your observed spectral line is quite broad.
Mar 29, 2015 at 16:31 comment added Gerard So, if I'm correct, what you're saying is that light of frequencies different from that of the transition frequency is doppler shifted to the transition frequency. However, the atom still must 'accept' a range of values, since there is a 0 probability that any frequency will be shifted to the exact transition frequency.
Mar 29, 2015 at 16:26 history answered bernd CC BY-SA 3.0