Answer to Question #119064 in Physics for fatima

Question #119064
atoms of carbondioxide 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
1
Expert's answer
2020-06-01T14:19:55-0400

The line shape will be


G=1σ2πexp((νν0)22σ2), σ=ν0c2kT ln2m.G=\frac{1}{σ\sqrt{2π}}\text{exp}\bigg(−\frac{(ν-ν_0)^2}{2σ^2}\bigg),\\\space\\ σ = \frac{ν_0}{c}\sqrt{\frac{2kT\text{ ln}2}{m}}.

With

ν0=104 Hz,

T=300 K,

c=300 000 000 m/s,

m=7.308x10-26 kg, or 44.01 amu,

we get


σ=9.34103, G(ν)=42.7 exp((ν104)21.74104):\sigma=9.34\cdot10^{-3},\\ \space\\G(\nu)=42.7\text{ exp}\bigg(-\frac{(\nu-10^4)^2}{1.74\cdot10^{-4}}\bigg):

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