How to Calculate dE/dx for a Mixture of Gases?

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SUMMARY

The calculation of dE/dx for a mixture of gases can be achieved by applying the Dalton's law of partial pressures. The total dE/dx for the gas mixture is the sum of the dE/dx values for each gas, weighted by their respective partial pressures. The Bethe-Bloch formula is essential for determining the energy loss per unit length in MeV per gram/cm². For detailed guidance, refer to Section 27.2.6 of the LBL Particle Data Book.

PREREQUISITES
  • Understanding of Dalton's law of partial pressures
  • Familiarity with the Bethe-Bloch formula
  • Knowledge of dE/dx concepts in particle physics
  • Access to the LBL Particle Data Book for reference
NEXT STEPS
  • Study the Bethe-Bloch formula in detail for energy loss calculations
  • Research Dalton's law and its applications in gas mixtures
  • Examine Section 27.2.6 of the LBL Particle Data Book for specific examples
  • Explore methods for calculating partial pressures in gas mixtures
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Physicists, researchers in particle physics, and anyone involved in calculating energy loss in gas mixtures will benefit from this discussion.

jbb88
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Im trying to figure out how to find the dE/dx for a mixture of gases. I can find how to figure it out for an individual molecule knowing dE/dx for each element, but can't find how to find it for a mixture of two molecules of gases knowing dE/dx for each gas. Is there anywhere I can find the formula or mixing rules for this?
 
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dE/dx is density dependent. For a gas mixture with the Dalton law n=n1+n2 the resulting dE/dx wil be sum of "partial" dE/dx, I think.

Bob_for_short.
 
You can add the dE/dx for each partial pressure of gas to get a total dE/dx. Use the Bethe-Bloch formula for MeV per gram/cm^2. See LBL Particle Data Book:
http://pdg.lbl.gov/2007/reviews/passagerpp.pdf
Section 27.2.6 deals with dE/dx for mixtures and compounds.
 

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