Question

Atoms of CO 2 gas decay from upper to lower level with a spread in frequency is about10kHz. Calculate the line shape if the broadening mechanism is found Doppler broadening?

Answer 1

The frequencies will be distributed according to Gaussian line shape:

$$L=\frac{1}{\sigma\sqrt{2\pi}}e^{-\frac{(f-f_0)^2}{2\sigma^2}},$$

in this equation

$$\sigma=\frac{f_0}{c}\sqrt{\frac{2kT\text{ ln}2}{m}}.$$

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