Answer to Question #118761 in Optics for HIRA

Question

Atoms of CO 2 gas decay from upper to lower level with a spread in frequency is about
10kHz. Calculate the line shape if the broadening mechanism is found Doppler
broadening ?

Answer 1

The distribution of the frequencies of the absorbed radiation for Gaussian line shape is subjected to the following law:

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

where

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

Therefore, the provided information is not enough to calculate the line shape.