Unformatted text preview: limit that h ν ul << kT. This is the limit used by microwave spectroscopists. 3. Show that the half width at half maximum for a spectral line broadened by the Doppler effect is given by the formula " # /2 = ul c 2 kT ln 2 m What is Δν / ν ul for carbon atoms at 300 K? If this ratio is used for the transition in problem 1, what is the Doppler broadening Δν for the transition? 4. Derive formulae for the maximum absorption coefficients (at resonance) for homogeneous and inhomogeneous transitions in terms of the integrated absorption coefficient. Use your result to determine the maximum absorption coefficient for the transition in problem 1. What percent of the incident radiation is absorbed in a 1cm path at resonance? 5. Bernath, Chapter 1, problem 7 6. Bernath, Chapter 1, problem 8 7. Bernath, Chapter 1, problem 10...
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 Winter '07
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 Physics, Work, Spectral line, Doppler broadening, Debye. 1 Debye, line width Δν, Δν

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