Modeling index of refraction of dilute gases

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SUMMARY

This discussion focuses on modeling the index of refraction of atmospheric air and nonpolar gases at room temperature across a pressure range of 0 to 1 atm. The relation n=\sqrt{1+\frac{3AP}{RT}} is identified as a key formula derived from the Lorentz-Lorenz equation, which traditionally applies to crystals. The challenge lies in adapting this equation for gases and accurately predicting the index of refraction as a function of pressure. A referenced paper provides foundational insights into this topic.

PREREQUISITES
  • Understanding of the Lorentz-Lorenz equation
  • Familiarity with gas laws and thermodynamics
  • Basic knowledge of optics and index of refraction
  • Experience with mathematical modeling techniques
NEXT STEPS
  • Research the derivation of the Lorentz-Lorenz equation and its applications to gases
  • Explore gas laws and their implications on the behavior of nonpolar gases
  • Learn about mathematical modeling techniques for predicting physical properties
  • Examine the referenced paper for detailed methodologies and case studies
USEFUL FOR

Researchers in optics, physicists studying gas properties, and engineers involved in atmospheric science or gas modeling will benefit from this discussion.

Habeebe
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I'm interested in predicting the index of refraction of atmospheric air and several nonpolar gases at room temperature for pressures of 1 atm - 0 atm. I'm not really sure where to get started. I have found the relation n=\sqrt{1+\frac{3AP}{RT}} but I don't really get where it comes from. Well, it was said to come from the Lorentz-Lorenz equation, but the Lorentz-Lorenz equation describes crystals so I have no clue how you turn it into a description of gases.

Basically, I need to find a way to draw a curve predicting index of refraction as a function of pressure over the 0-1 atm range for various gases, and I don't know how to figure out what the dependence is.
 
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This paper and the reference 7 cited give an introduction to the topic.

http://web.mit.edu/ytc/www/HLMA/Ref/opticsPaper02.pdf
 

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