How to Calculate Excited Molecules in O2 Gas Using Spectroscopy | Mark's Guide

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SUMMARY

This discussion focuses on calculating the percentage of excited molecules in O2 gas using spectroscopy. Key factors include the absorption cross-section, the energy and pulse duration of the pulsed laser, and the characteristics of the laser spectrum. Participants emphasize the importance of understanding the laser linewidth in relation to the absorption spectrum and the temperature of the gas. Accurate calculations require knowledge of whether the spectrum is diffuse or sharp and the specific rovibrational states involved.

PREREQUISITES
  • Understanding of absorption cross-section in spectroscopy
  • Knowledge of pulsed laser parameters, including energy and pulse duration
  • Familiarity with laser linewidth and its impact on excitation
  • Basic concepts of rovibrational states and temperature effects in gases
NEXT STEPS
  • Research the relationship between absorption cross-section and molecular excitation
  • Learn about the impact of laser linewidth on excitation efficiency
  • Study the effects of temperature on rovibrational states of O2
  • Explore methods for calculating the number of excited molecules in a gas
USEFUL FOR

Researchers and students in spectroscopy, physicists working with laser applications, and anyone interested in molecular excitation dynamics in gases.

sciphys1
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Hi All,

Lets say I know the absorption cross-section of a gaseous species e.g. O2. I have a pulsed laser of a certain energy and of pulse duration, which will hopefully guide me with the number of photons and I focus that laser beam into a stream of O2 gas. Can I calculate the percentage of molecules I will excite?

I have been scratching my head over this problem apart from others (which I will ask later, one at a time!). It will help a lot if you can help with the clarification.

Note: I am learning about spectroscopy but this is not a homework question.

Thank you for your help.

Mark.
 
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sciphys1 said:
I know the absorption cross-section
Einstein coefficient for absorption, okay.
sciphys1 said:
a pulsed laser of a certain energy and of pulse duration
Wavelength and "flux." Okay. Pulse duration.
sciphys1 said:
Can I calculate the percentage of molecules I will excite?
Number excited. (Past tense.) Steady state percentage? Maybe.
 
sciphys1 said:
Hi All,

Lets say I know the absorption cross-section of a gaseous species e.g. O2. I have a pulsed laser of a certain energy and of pulse duration, which will hopefully guide me with the number of photons and I focus that laser beam into a stream of O2 gas. Can I calculate the percentage of molecules I will excite?

I have been scratching my head over this problem apart from others (which I will ask later, one at a time!). It will help a lot if you can help with the clarification.

Note: I am learning about spectroscopy but this is not a homework question.

Thank you for your help.

Mark.
You need to know a lot of additional information to be able to do this. The absorption cross section is likely the integrated cross section over the entire spectrum. You need to know if the spectrum is diffuse or sharp -- i.e. are you able to excite the entire ensemble of molecules or only a small subset? What is the laser linewidth, compared with the linewidth of the spectrum you are exciting. If the spectrum is sharp, and you know what rovibrational state of oxygen you are exciting, what is the temperature?
 

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