The Gaussian shape of a Doppler-broadened spectral line reflects the Maxwell distribution of speeds in the sample

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The Gaussian shape of a Doppler-broadened spectral line reflects the Maxwell distribution of speeds in the sample at the temperature of the experiment. In a spectrometer that makes use of phase-sensitive detection the output signal is proportional to the first derivative of the signal intensity, dI/dν. Plot the resulting line shape for various temperatures. How is the separation of the peaks related to the temperature?

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